Glasses having a low non-linear refractive index for laser applications
BACKGROUND OF THE INVENTION 
     The invention relates to new glasses which are particularly suitable for solid state laser amplifier applications. 
     The most powerful coherent light impulses hitherto known are generated by solid state lasers, in which the impulse of a pilot laser is amplified through a chain of amplifier stages. Such an amplifier stage primarily comprises a laser glass rod containing an effective amount of activator ions, e.g. Nd 3+ , which are excited to fluorescence by the light of flashlamps. This energy of excitation is surrendered by induced emission to the laser beam as it travels through the rod. After passing through a large number of such amplifiers, the radiation intensity can become so great that the resulting high electric field intensity displaces the electrons in the shell of the atoms of the glass so strongly that the refractive index is thereby increased. 
     In electric fields of moderate intensity, the dielectric displacement is proportional to the electric field intensity: 
     
         D=εE 
    
     wherein: 
     D=dielectric displacement 
     E=electric field strength 
     ε=dielectric constant. 
     For extremely high electric field intensities, this linear relationship no longer applies and a quadratic relationship appears: 
     
         D=εE+ε.sub.2 E.sup.2 
    
     The root ¢ε 2  =n 2  is a measure of a so-called &#34;non-linear effect.&#34; The quantity n 2  is therefore called the non-linear refractive index and is expressed in electrostatic units. Increasing the refractive index causes a focussing of the beam. The intensity is greatest in the interior of the beam cross-section and diminishes towards the marginal zone of the beam cross-section. The non-linear refractive index also has a corresponding distribution and a convex lens effect is also obtained by this means. It is important that the glass which is used in the amplifier stages should have a low non-linear refractive index in order that self-focussing does not become so intense that an electric discharge is generated in the glass, which would destroy it. The glasses of which are made the lenses for beam spreading or beam focussing, as well as the plates which are present in the beam path in order to reflect out a small part of the laser beam for measurements, must likewise have a low non-linear refractive index, i.e. the glasses, even without incorporated activator ions, have great significance in the construction of laser amplifier chains. 
     It is known, e.g. from German Pat. Nos. 1,171,082 and 1,255,215, to produce laser materials based on silicate glasses, which provide a good fluorescence life for the Nd 3  ions (up to 1000 microseconds). Such silicate glasses can be produced in optically homogeneous form in large volume and the number of absorbent particles in the glass can be kept small. The disadvantage of such glasses is their relatively high non-linear refractive index and the corresponding limited effective cross-section of induced emission. 
     It is also known according to U.S. Pat. Nos. 3,250,721, 3,846,142, and French Pat. No. 2,291,949, to produce laser glasses based on phosphate glasses. These glasses have large effective cross-sections of induced emission, they can also be produced with good optical homogeneity in large volume and their content of absorbent particles is low. However, the fluorescence life is restricted to approximately 300 microseconds and the non-linear refractive index cannot be reduced below 1×10 -13  esu. Due to their relatively high optical refraction, said phosphate glasses do not have the desired low non-linear refractive index n 2 . 
     It is known that glasses display a reduction of the non-linear refractive index n 2  with decreasing color dispersion and refractive power. This is the case with the group of fluorine phosphate glasses. High-fluoride glasses are required even for glasses with n 2  &lt;0.8. Such glasses are known, e.g. see German Pat. Nos. 945,408 and 1,596,877; British Pat. No. 1,405,717; and commercially available glass type FK 51, Schott Catalog 3060/72. Such glasses contain primarily fluorides and phosphoric acid and have a far stronger tendency to crystallization and segregation than conventional silicate, borosilicate, silicoborate and borate glasses. As these known glasses display no laser properties, it is necessary to use for this purpose special laser activator elements from the rare earth group, e.g. Nd. 
     OBJECTS OF THE INVENTION 
     Accordingly, it is a general object of the present invention to provide new glass compositions which exhibit both a good laser effect and simultaneously a low non-linear refractive index n 2 . 
     Another object of this invention is to provide such glasses which furthermore contain substantially no laser absorbent particles which would lead to destruction of the glass due to absorption when powerful laser impulses pass through it. 
     An additional object of this inventions to provide such glasses which are suitable for laser amplifier applications and capable of being produced in large volumes with extremely high optical quality. 
     Other objects of this invention will become more fully apparent to those skilled in the art from the following description thereof. 
     SUMMARY OF THE INVENTION 
     Briefly, the above and other objects, features and advantages of the present invention are attained in one aspect thereof by providing glass compositions which permit the introduction of laser activators into fluorophosphate glass with exceptionally high fluorine content while forming glasses of high crystallization stability and permitting the realization of large melt volumes. The high fluorine content imparts to the glasses an exceptionally low non-linear refractive index n 2  down to 0,4×10 -13  esu. 
     In another aspect of the present invention, partial or total replacement of P 2  O 5  by As 2  O 5  in specific ranges of the glass compositions has a further crystallization stabilizing effect without appreciably influencing the n 2  values. 
    
    
     BRIEF DESCRIPTION OF THE DRAWING 
     The present invention will become more fully apparent to those skilled in the art to which this invention pertains from the following Detailed Discussion, taken in conjunction with the annexed drawing wherein the single FIGURE illustrates the relationship, for a given index of refraction, between the Abbe number and the non-linear refractive index for selected glass compositions according to the present invention. 
    
    
     DETAILED DISCUSSION 
     The inclusion of Nd 2  O 3  or NdF 3  in known fluorophosphate glasses (such as FK 51) causes a marked increase in the tendency to crystallization. However, it has now been unexpectedly discovered that there are specific glass composition ranges which permit the introduction of such laser activators into the glass while forming glasses of high crystallization stability and which permit the realization of melts of unexpectedly large melt volumes (e.g. 20 liters). It appears as if the Nd actually exercises a stabilizer function--referred to the glass formation--in the case of these special compositions, as do also e.g. lanthanum, yttrium, ytterbium, gadolinium and cerium as oxides or fluorides; gallium and indium behave similarly. 
     It has further been discovered that the partial or total replacement of P 2  O 5  by As 2  O 5  in specific ranges of the glass composition has a crystallization-stabilising effect without appreciably influencing the n 2  values. 
     The glasses of the present invention can be subdivided into three groups with regard to their optical position. 
     The glasses according to the invention in the optical position range I: 
     nd=1.40-1.44, 
     vd=94-86, 
     having a low non-linear refractive index 
     n 2  =&lt;0.60, 
     preferably comprise: 
     P 2  O 5  : 0-12 wt. % 
     As 2  O 5  : 0-12 wt. % 
     P 2  O 5  +As 2  O 5  : 6-12 wt. % 
     Alkali metal oxides: 3-15 wt. % 
     MgO: 0-6 wt. % 
     CaO: 22-26 wt. % 
     SrO: 0-12 wt. % 
     BaO: 0-11 wt. % 
     Al 2  O 3  : 18-21 wt. % 
     Nd 2  O 3  : 0-6 wt. % 
     MgO+CaO: 26-30 wt. % 
     SrO+BaO: 5-11 wt. % 
     F 2  -O: 27-30 wt. % 
     The glasses according to the invention in the optical position range II: 
     nd=1.44-1.465, 
     vd=90-85, 
     having a low non-linear refraction index 
     n 2  =0.55-0.65, 
     preferably comprise: 
     P 2  O 5  : 0-12 wt. % 
     As 2  O 5  : 0-12 wt. % 
     P 2  O 5  +As 2  O 5  : 6-15 wt. % 
     Alkali metal oxides: 1-8 wt. % 
     MgO: 0-5 wt. % 
     CaO: 11-25 wt. % 
     SrO: 0-22 wt. % 
     BaO: 0-12 wt. % 
     Al 2  O 3  : 15-20 wt. % 
     Nd 2  O 3  : 0-6 wt. % 
     MgO+CaO: 11-27 wt. % 
     SrO+BaO: 10-30 wt. % 
     F 2  -O: 24-30 wt. % 
     The glasses according to the invention in the optical position range III: 
     nd=1.46-1.475, 
     vd=88-83, 
     having a low non-linear refractive index 
     n 2  =0.60-0.70, 
     preferably comprise: 
     P 2  O 5  : 0-15 wt. % 
     As 2  O 5  : 0.6-12 wt. % 
     P 2  O 5  +As 2  O 5  : 6-15 wt. % 
     Alkali metal oxides: 0-5 wt. % 
     MgO: 0-7 wt. % 
     CaO: 8-15 wt. % 
     SrO: 18-22 wt. % 
     BaO: 10-17 wt. % 
     Al 2  O 3  : 14-16 wt. % 
     Nd 2  O 3  : 0-6 wt. % 
     MgO+CaO: 11-20 wt. % 
     SrO+BaO: 28-38 wt. % 
     F 2  -O: 20-24 wt. % 
     The predominant part (over 50% and preferably over 70%) of the components in the composition is used as metal fluoride. The phosphoric acid is introduced as P 2  O 5  or in the form of metal phosphates or complex alkali or alkali earth phosphorofluorides. The arsenic oxide is introduced as As 2  O 5  or in the form of arsenates. Because a reciprocal exchange of the fluoride or phosphate anions, with reference to a specific cation, is in principle possible among the melt components, there is little point in expressing the composition according to the invention as metal fluorides and metal phosphates. The form of the oxidic terms has therefore been chosen in order to express the composition with the necessary clarity. The fluorine component, formally represented by F 2  -O, thus represents the fluoride fraction reduced by the weight fraction of the oxygen which is fixed as oxide. With this customary mode of representation, different types of compositions can easily be compared among themselves by conversion to the corresponding oxides without regard to the large number of chemical compounds which may be used as batch constituents. This mode of representation is justified by the fact that no specific association between cation and anion in the glass can be determined or detected in practice. A chemical analysis of said glasses, which is customarily referred to cation oxides, conforms to the composition ranges indicated. 
     However, in order to show in what form the constituents of the glass batch may be inserted into the melting crucible, all examples are shown hereinbelow, not only in their basic composition stated in oxides, but also in the form of the compounds used (in wt. %). As previously indicated, it is generally possible to choose different raw components for the same composition of the molten glass. The specific selection of quantities and combinations of the melt components are of substantial importance for the compositions according to the invention. 
     As is known, BaO has a considerable crystallization stabilizing effect upon fluorophosphate glasses with high nd-vd values. Consequently, glasses of this type are known only with BaO contents above 12 wt. %. It has been unexpectedly discovered that, with the compositions according to the invention, even BaO fractions below 12 wt. %, and indeed even BaO-free compositions, yield crystallization stable glasses. It was hitherto unknown that glasses with nd values less than 1.45 could be obtained in crystallization stable form without BeF 2 , and that glasses with an optical refraction nd≦1.43 could be obtained at all, as is now the case with the glasses according to the invention. It has been found that particularly valuable compositions as regards desirably low n 2  values are obtained by high CaO contents above 22 wt. %. 
     As a further means of stabilizing against crystallization and segregation, supplements of lanthanum, yttrium, gadolinium, gallium, cerium, indium and tungsten as oxides or fluorides in small quantities up to approximately 3 wt. %, tantalum and niobium up to approximately 2 wt. %, and also bromides, chlorides and sulphates up to approximately 2 wt. % instead of fluoride may be introduced. Zirconium and titanium can be introduced up to approximately 2 wt. % as ZrF 4  or K 2  TiF 6 . 
     The glasses according to the invention, like the known fluorophosphate glasses, possess intensified anomalous partial dispersion and negative temperature coefficients of the refractive index. 
     Without further elaboration, it is believed that one skilled in the art can, using the preceding description, utilize the present invention to its fullest extent. The following preferred specific embodiments are, therefore, to be construed as merely illustrative and not limitative of the remainder of the disclosure in any way whatsoever. All temperatures are set forth uncorrected in degrees Celsius; unless otherwise indicated, all pressures are ambient and all parts and percentages are by weight 
     The method of producing the glasses of Examples 1 thru 29, the compositions and physical properties of which are known in Tables 1 and 2, is explained more fully hereinbelow: 
     The batches of e.g. the following three examples (3, 8 and 11) are thoroughly mixed and melted in a Pt crucible at approximately 900°-1000° C., then refined in a closed furnace system at approximately 1050°-1100° C. and stirred to a pouring viscosity of approximately 20 poise, poured into preheated moulds and cooled from transformation temperature at a speed of 1°-10° C. per hour in the cooling furnace. 
     A selection of the compositions according to the invention will be found in oxides (wt. %) in Table 1 and in corresponding compounds in fluorides, phosphates, as already mentioned in Table 2. The single drawing shows the dependence of the n 2  values upon the refraction nd and the dispersion vd for the examples selected. 
     
                                           TABLE 1                                 
__________________________________________________________________________
Wt. - %                                                                   
Example 1   2   3  4   5   6   7   8   9   10  11  12  13  14             
__________________________________________________________________________
Oxide                                                                     
P.sub.2 O.sub.5                                                           
        8.44                                                              
            8.90                                                          
                8.98                                                      
                   4.5 4.5 4.5 10.19                                      
                                   7.95                                   
                                       9.70                               
                                           11.30                          
                                               10.66                      
                                                   11.40                  
                                                       9.4 6.85           
As.sub.2 O.sub.5                                                          
        --  --  -- 4.5 4.5 4.5 --  2.25                                   
                                       --  --  0.6 0.6 1.7 4.41           
Li.sub.2 O                                                                
        --  --  -- --  --  --  --  --  --  --  --  --  1.64               
                                                           --             
Na.sub.2 O                                                                
        6.07                                                              
            4.00                                                          
                4.06                                                      
                   4.06                                                   
                       4.06                                               
                           4.06                                           
                               5.03                                       
                                   2.03                                   
                                       1.99                               
                                           1.92                           
                                               0.49                       
                                                   --  --  0.49           
K.sub.2 O                                                                 
        4.58                                                              
            2.76                                                          
                2.92                                                      
                   0.81                                                   
                       0.41                                               
                           0.41                                           
                               1.35                                       
                                   0.20                                   
                                       --  --  --  --  --  --             
MgO     3.98                                                              
            3.88                                                          
                4.23                                                      
                   3.88                                                   
                       3.88                                               
                           3.88                                           
                               3.97                                       
                                   3.82                                   
                                       4.21                               
                                           4.21                           
                                               4.27                       
                                                   3.72                   
                                                       4.12               
                                                           4.23           
CaO     22.13                                                             
            23.13                                                         
                22.71                                                     
                   23.34                                                  
                       23.70                                              
                           25.14                                          
                               18.55                                      
                                   19.83                                  
                                       14.29                              
                                           14.36                          
                                               14.39                      
                                                   14.55                  
                                                       9.53               
                                                           14.39          
SrO     5.08                                                              
            7.34                                                          
                7.63                                                      
                   11.14                                                  
                       10.72                                              
                           --  12.92                                      
                                   9.12                                   
                                       17.90                              
                                           16.50                          
                                               18.01                      
                                                   18.23                  
                                                       21.53              
                                                           18.02          
BaO     --  --  -- --  --  9.62                                           
                               3.16                                       
                                   10.98                                  
                                       10.67                              
                                           10.67                          
                                               10.70                      
                                                   12.35                  
                                                       15.90              
                                                           10.71          
Al.sub.2 O.sub.3                                                          
        18.70                                                             
            19.55                                                         
                19.34                                                     
                   19.73                                                  
                       20.03                                              
                           20.03                                          
                               16.69                                      
                                   17.07                                  
                                       15.24                              
                                           15.30                          
                                               15.30                      
                                                   14.11                  
                                                       14.17              
                                                           15.33          
La.sub.2 O.sub.3                                                          
        --  --  -- --  --  --  --  0.37                                   
                                       --  --  --  0.79                   
                                                       0.76               
                                                           --             
Nd.sub.2 O.sub.3                                                          
        2.58                                                              
            2.50                                                          
                2.52                                                      
                   --  --  --  2.35                                       
                                   1.10                                   
                                       2.20                               
                                           2.20                           
                                               2.16                       
                                                   2.18                   
                                                       --  2.16           
F.sub.2 --O                                                               
        28.44                                                             
            27.94                                                         
                27.61                                                     
                   28.04                                                  
                       28.20                                              
                           27.86                                          
                               25.79                                      
                                   25.28                                  
                                       23.80                              
                                           23.54                          
                                               23.42                      
                                                   22.67                  
                                                       21.25              
                                                           23.41          
ΣWt. - %                                                            
        100.00                                                            
            100.00                                                        
                100.00                                                    
                   100.00                                                 
                       100.00                                             
                           100.00                                         
                               100.00                                     
                                   100.00                                 
                                       100.00                             
                                           100.00                         
                                               100.00                     
                                                   100.00                 
                                                       100.00             
                                                           100.00         
P.sub.2 O.sub.5 +                                                         
Σ.sub.As.sbsb.2.sub.O.sbsb.5                                        
        8.44                                                              
            8.90                                                          
                8.98                                                      
                   9.00                                                   
                       9.00                                               
                           9.00                                           
                               10.19                                      
                                   10.20                                  
                                       9.70                               
                                           11.30                          
                                               11.26                      
                                                   11.40                  
                                                       11.10              
                                                           11.26          
ΣMgO + CaO                                                          
        26.11                                                             
            27.01                                                         
                26.94                                                     
                   27.22                                                  
                       27.58                                              
                           29.02                                          
                               22.52                                      
                                   23.65                                  
                                       18.50                              
                                           18.57                          
                                               18.66                      
                                                   18.27                  
                                                       13.65              
                                                           18.62          
ΣSrO + BaO                                                          
        5.08                                                              
            7.34                                                          
                7.63                                                      
                   11.14                                                  
                       10.72                                              
                           9.62                                           
                               16.08                                      
                                   20.10                                  
                                       28.57                              
                                           27.17                          
                                               28.71                      
                                                   30.58                  
                                                       37.43              
                                                           28.73          
nd      1.4089                                                            
            1.4297                                                        
                1.430                                                     
                   1.4345                                                 
                       1.4335                                             
                           1.4378                                         
                               1.4409                                     
                                   1.4526                                 
                                       1.4590                             
                                           1.4639                         
                                               1.4683                     
                                                   1.4733                 
                                                       1.4745             
                                                           1.4683         
vd      92.8                                                              
            90.2                                                          
                90.8                                                      
                   87.2                                                   
                       88.7                                               
                           87.5                                           
                               88.5                                       
                                   88.0                                   
                                       88.1                               
                                           87.1                           
                                               86.8                       
                                                   85.8                   
                                                       85.1               
                                                           84.2           
n.sub.2 0.460                                                             
            0.516                                                         
                0.513                                                     
                   0.553                                                  
                       0.537                                              
                           0.557                                          
                               0.554                                      
                                   0.581                                  
                                       0.593                              
                                           0.613                          
                                               0.625                      
                                                   0.647                  
                                                       0.658              
                                                           0.655          
__________________________________________________________________________
Wt. - %                                                                   
Example 15   16   17   18   19   20   21   22   23   24   25              
__________________________________________________________________________
Oxide                                                                     
P.sub.2 O.sub.5                                                           
        9.10 9.10 9.10 9.0  9.0  10.78                                    
                                      10.78                               
                                           10.78                          
                                                10.78                     
                                                     10.49                
                                                          8.4             
As.sub.2 O.sub.5                                                          
        --   --   --   --   --   0.6  0.6  0.6  0.6  0.6  0.6             
Li.sub.2 O                                                                
        --   3.23 --   --   --   --   --   --   --   --   --              
Na.sub.2 O                                                                
        3.68 --   3.48 4.06 4.06 --   --   --   --   --   4.06            
K.sub.2 O                                                                 
        2.03 1.21 2.03 0.81 1.23 --   --   --   --   --   0.81            
Cs.sub.2 O                                                                
        --   --   --   1.50 --   --   --   --   --   --   --              
MgO     3.95 3.95 3.95 3.88 3.88 3.72 3.72 3.72 3.72 3.62 3.88            
CaO     23.56                                                             
             23.63                                                        
                  23.63                                                   
                       23.34                                              
                            23.34                                         
                                 14.54                                    
                                      14.54                               
                                           14.54                          
                                                14.54                     
                                                     14.16                
                                                          23.34           
SrO     7.51 7.51 7.51 7.42 7.42 18.21                                    
                                      18.21                               
                                           18.21                          
                                                18.21                     
                                                     17.73                
                                                          7.42            
BaO     --   --   --   --   --   12.38                                    
                                      12.38                               
                                           12.38                          
                                                12.38                     
                                                     12.04                
                                                          --              
Al.sub.2 O.sub.3                                                          
        19.91                                                             
             19.97                                                        
                  19.97                                                   
                       19.73                                              
                            19.73                                         
                                 14.10                                    
                                      14.10                               
                                           14.10                          
                                                14.10                     
                                                     13.72                
                                                          19.73           
La.sub.2 O.sub.3                                                          
        --   --   --   --   --   0.79 0.79 0.79 0.79 0.77 --              
Nd.sub.2 O.sub.3                                                          
        2.50 2.50 2.50 2.50 2.50 --   --   --   --   --   2.50            
Ga.sub.2 O.sub.3                                                          
        --   --   --   --   --   --   --   --   --   --   --              
In.sub.2 O.sub.3                                                          
        --   --   --   --   --   2.20 --   --   --   --   --              
Y.sub.2 O.sub.3                                                           
        --   --   --   --   --   --   2.20 --   --   --   --              
Ce.sub.2 O.sub.3                                                          
        --   --   --   --   --   --   --   2.20 --   --   --              
Gd.sub.2 O.sub.3                                                          
        --   --   --   --   --   --   --   --   2.20 4.82 --              
ZrO.sub.2                                                                 
        --   --   --   --   --   --   --   --   --   --   1.11            
TiO.sub.2                                                                 
        --   --   --   --   --   --   --   --   --   --   --              
Ta.sub.2 O.sub.5                                                          
        --   --   --   --   0.79 --   --   --   --   --   --              
Nb.sub.2 O.sub.3                                                          
        --   --   --   --   --   --   --   --   --   --   --              
WO.sub.3                                                                  
        --   --   --   --   --   --   --   --   --   --   --              
F.sub.2 -O                                                                
        27.76                                                             
             28.90                                                        
                  27.83                                                   
                       27.76                                              
                            28.05                                         
                                 22.68                                    
                                      22.68                               
                                           22.68                          
                                                22.68                     
                                                     22.05                
                                                          28.15           
ΣWt. - %                                                            
        100.00                                                            
             100.00                                                       
                  100.00                                                  
                       100.00                                             
                            100.00                                        
                                 100.00                                   
                                      100.00                              
                                           100.00                         
                                                100.00                    
                                                     100.00               
                                                          100.00          
P.sub.2 O.sub.5 +-Σ.sub.As.sbsb.2.sub.O.sbsb.5                      
        9.10 9.10 9.10 9.00 9.00 11.38                                    
                                      11.38                               
                                           11.38                          
                                                11.38                     
                                                     11.09                
                                                          9.00            
ΣMgO + CaO                                                          
        27.51                                                             
             27.58                                                        
                  27.58                                                   
                       27.22                                              
                            27.22                                         
                                 18.26                                    
                                      18.26                               
                                           18.26                          
                                                18.26                     
                                                     17.78                
                                                          27.22           
ΣSrO + BaO                                                          
        7.51 7.51 7.51 7.42 7.42 30.59                                    
                                      30.59                               
                                           30.59                          
                                                30.59                     
                                                     29.77                
                                                          7.42            
Other                                                                     
 Cl     1.20 --   --   --   --   --   --   --   --   --   --              
 Br     --   1.40 --   --   --   --   --   --   --   --   --              
 SO.sub.3                                                                 
        --   --   1.4  --   --   --   --   --   --   --   --              
nd      1.4378                                                            
             1.4342                                                       
                  1.4356                                                  
                       1.4337                                             
                            1.4357                                        
                                 1.4712                                   
                                      1.4715                              
                                           1.4720                         
                                                1.4717                    
                                                     1.4763               
                                                          1.4352          
vd      88.80                                                             
             89.34                                                        
                  89.42                                                   
                       88.80                                              
                            85.90                                         
                                 85.70                                    
                                      85.90                               
                                           85.30                          
                                                84.90                     
                                                     84.90                
                                                          89.47           
n.sub.2 0.545                                                             
             0.533                                                        
                  0.535                                                   
                       0.537                                              
                            0.568                                         
                                 0.644                                    
                                      0.642                               
                                           0.650                          
                                                0.654                     
                                                     0.664                
                                                          0.534           
__________________________________________________________________________
                                   Wt. - %                                
                                   Example 26   27   28   29              
__________________________________________________________________________
                                   Oxide                                  
                                   P.sub.2 O.sub.5                        
                                           11.36                          
                                                10.70                     
                                                     10.78                
                                                          10.78           
                                   As.sub.2 O.sub.5                       
                                           --   0.6  0.6  0.6             
                                   Li.sub.2 O                             
                                           --   --   --   --              
                                   Na.sub.2 O                             
                                           --   --   --   --              
                                   K.sub.2 O                              
                                           0.86 --   --   --              
                                   Cs.sub.2 O                             
                                           --   --   --   --              
                                   MgO     3.71 3.72 3.72 3.72            
                                   CaO     14.52                          
                                                14.54                     
                                                     14.54                
                                                          14.54           
                                   SrO     18.18                          
                                                18.21                     
                                                     18.21                
                                                          18.21           
                                   BaO     12.32                          
                                                12.38                     
                                                     12.38                
                                                          12.38           
                                   Al.sub.2 O.sub.3                       
                                           14.22                          
                                                14.10                     
                                                     14.10                
                                                          14.10           
                                   La.sub.2 O.sub.3                       
                                           0.79 0.79 0.79 0.79            
                                   Nd.sub.2 O.sub.3                       
                                           --   --   --   --              
                                   Ga.sub.2 O.sub.3                       
                                           --   --   --   --              
                                   In.sub.2 O.sub.3                       
                                           --   --   --   --              
                                   Y.sub.2 O.sub.3                        
                                           --   --   --   --              
                                   Ce.sub.2 O.sub.3                       
                                           --   --   --   --              
                                   Gd.sub.2 O.sub.3                       
                                           --   --   --   --              
                                   ZrO.sub.2                              
                                           --   --   --   --              
                                   TiO.sub.2                              
                                           0.72 --   --   --              
                                   Ta.sub.2 O.sub.5                       
                                           --   2.20 --   --              
                                   Nb.sub.2 O.sub.5                       
                                           --   --   2.20 --              
                                   WO.sub.3                               
                                           --   --   --   2.20            
                                   F.sub.2 -O                             
                                           23.32                          
                                                22.68                     
                                                     22.68                
                                                          22.68           
                                   ΣWt. - %                         
                                           100.00                         
                                                100.00                    
                                                     100.00               
                                                          100.00          
                                   P.sub.2 O.sub.5 +                      
                                   .sup.ΣAs.sub.2 O.sub.5           
                                           11.36                          
                                                11.38                     
                                                     11.38                
                                                          11.38           
                                   ΣMgO + CaO                       
                                           18.23                          
                                                18.26                     
                                                     18.26                
                                                          18.26           
                                   ΣSrO + BaO                       
                                           30.50                          
                                                30.59                     
                                                     30.59                
                                                          30.59           
                                   Other                                  
                                    Cl     --   --   --   --              
                                    Br     --   --   --   --              
                                    SO.sub.3                              
                                           --   --   --   --              
                                   nd      1.4687                         
                                                1.4738                    
                                                     1.4747               
                                                          1.4721          
                                   vd      85.40                          
                                                83.20                     
                                                     83.20                
                                                          84.50           
                                   n.sub.2 0.642                          
                                                0.679                     
                                                     0.682                
                                                          0.659           
__________________________________________________________________________
 
    
     
                                           TABLE 2                                 
__________________________________________________________________________
Wt. - %                                                                   
Example                                                                   
       1   2   3   4   5   6   7   8   9   10  11  12  13  14             
__________________________________________________________________________
Oxide                                                                     
P.sub.2 O.sub.5                                                           
       4.0 8.9 8.9 4.5 4.5 4.5 10.2                                       
                                   7.9 9.7 11.3                           
                                               10.7                       
                                                   10.8                   
                                                       9.4 6.9            
As.sub.2 O.sub.5                                                          
       --  --  --  4.5 4.5 4.5 --  2.2 --  --  0.6 0.6 1.7 4.4            
P.sub.2 O.sub.5 +                                                         
As.sub.2 O.sub.5                                                          
       --  --  --  9.0 9.0 9.0 --  10.1                                   
                                       --  --  11.3                       
                                                   11.4                   
                                                       11.1               
                                                           11.3           
LiF    --  --  --  --  --  --  --  --  --  --  --  --  2.9 --             
NaF    5.5 5.4 5.5 5.5 5.5 5.5 6.8 2.8 2.7 2.6 0.7 --  --  0.7            
NaPF.sub.6                                                                
       10.0                                                               
           --  --  --  --  --  --  --  --  --  --  --  --  --             
KF     5.5 3.4 1.6 1.0 0.5 0.5 1.7 0.3 --  --  --  --  --  --             
K.sub.2 O                                                                 
       --  --  2.3 --  --  --  --  --  --  --  --/ --                     
                                                   --  --                 
MgF.sub.2                                                                 
       6.0 6.0 6.5 6.0 6.0 6.0 6.1 5.9 6.5 6.5 6.6 5.8 6.4 6.5            
CaF.sub.2                                                                 
       30.0                                                               
           32.2                                                           
               31.4                                                       
                   32.5                                                   
                       33.0                                               
                           35.0                                           
                               25.8                                       
                                   27.6                                   
                                       19.9                               
                                           20.0                           
                                               20.0                       
                                                   20.2                   
                                                       5.7 20.0           
CaO    --  --  --  --  --  --  --  --  --  --  --  --  5.4 --             
SrF.sub.2                                                                 
       6.0 8.9 9.2 13.5                                                   
                       13.0                                               
                           --  15.7                                       
                                   11.1                                   
                                       21.7                               
                                           20.0                           
                                               21.8                       
                                                   22.1                   
                                                       26.0               
                                                           21.9           
BaF.sub.2                                                                 
       --  --  --  --  --  11.0                                           
                               3.6 12.6                                   
                                       12.2                               
                                           12.2                           
                                               12.2                       
                                                   14.1                   
                                                       18.2               
                                                           12.2           
AlF.sub.3                                                                 
       30.0                                                               
           32.2                                                           
               31.6                                                       
                   32.5                                                   
                       33.0                                               
                           33.0                                           
                               27.5                                       
                                   28.1                                   
                                       25.1                               
                                           25.2                           
                                               25.2                       
                                                   23.2                   
                                                       23.4               
                                                           25.2           
LaF.sub.3                                                                 
       --  --  --  --  --  --  --  0.4 --  --  --  0.9 0.9 --             
Nd.sub.2 O.sub.3                                                          
       --  --  --  --  --  --  1.1 1.1 2.2 2.2 2.2 2.2 --  2.2            
NdF.sub.3                                                                 
       3.0 3.0 3.0 --  --  --  1.5 --  --  --  --  --  --  --             
nd     1.4089                                                             
           1.4297                                                         
               1.430                                                      
                   1.4345                                                 
                       1.4335                                             
                           1.4378                                         
                               1.4409                                     
                                   1.4526                                 
                                       1.4590                             
                                           1.4639                         
                                               1.4683                     
                                                   1.4733                 
                                                       1.4745             
                                                           1.4683         
vd     92.8                                                               
           90.2                                                           
               90.8                                                       
                   87.2                                                   
                       88.7                                               
                           87.5                                           
                               88.5                                       
                                   88.0                                   
                                       88.1                               
                                           87.1                           
                                               86.8                       
                                                   85.8                   
                                                       85.1               
                                                           84.2           
n.sub.2                                                                   
       0.460                                                              
           0.517                                                          
               0.513                                                      
                   0.553                                                  
                       0.537                                              
                           0.557                                          
                               0.554                                      
                                   0.581                                  
                                       0.593                              
                                           0.613                          
                                               0.625                      
                                                   0.647                  
                                                       0.658              
                                                           0.655          
__________________________________________________________________________
                             Wt. -%                                       
                             Example                                      
                                   15  16  17  18  19  20  21             
__________________________________________________________________________
                             Oxide                                        
                             P.sub.2 O.sub.5                              
                                   9.0 9.0 9.0 9.0 9.0 10.8               
                                                           10.8           
                             As.sub.2 O.sub.5                             
                                   --  --  --  --  --  0.6 0.6            
                             P.sub.2 O.sub.5 +                            
                             As.sub.2 O.sub.5                             
                                   9.0 9.0 9.0 9.0 9.0 11.4               
                                                           11.4           
                             NaF   3.5 5.5 3.5 5.5 5.5 --  --             
                             NaCl  2.0 --  --  --  --  --  --             
                             Na.sub.2 SO.sub.4                            
                                   --  --  2.0 --  --  --  --             
                             KF    2.5 0.5 2.5 1.0 1.0 --  --             
                             KBr   --  2.0 --  --  --  --  --             
                             Cs.sub.2 O                                   
                                   --  --  --  1.5 --  --  --             
                             MgF.sub.2                                    
                                   6.0 6.0 6.0 6.0 6.0 5.7 5.7            
                             CaF.sub.2                                    
                                   32.5                                   
                                       32.5                               
                                           32.5                           
                                               32.5                       
                                                   32.5                   
                                                       20.3               
                                                           20.3           
                             SrF.sub.2                                    
                                   9.0 9.0 9.0 9.0 9.0 22.1               
                                                           22.1           
                             BaF.sub.2                                    
                                   --  --  --  --  --  14.2               
                                                           14.2           
                             ZrF.sub.4                                    
                                   --  --  --  --  --  --  --             
                             K.sub.2 TiF.sub.6                            
                                   --  --  --  --  --  --  --             
                             K.sub.2 TaF.sub.7                            
                                   --  --  --  --  1.5 --  --             
                             AlF.sub.3                                    
                                   32.5                                   
                                       32.5                               
                                           32.5                           
                                               32.5                       
                                                   32.5                   
                                                       23.2               
                                                           23.2           
                             LaF.sub.3                                    
                                   --  --  --  --  --  0.9 0.9            
                             Y.sub.2 O.sub.3                              
                                   --  --  --  --  --  --  2.2            
                             YF.sub.3                                     
                                   --  --  --  --  --  --  --             
                             Nd.sub.2 O.sub.3                             
                                   --  --  --  --  --  --  --             
                             NdF.sub. 3                                   
                                   3.0 3.0 3.0 3.0 3.0 --  --             
                             Gd.sub.2 O.sub.3                             
                                   --  --  --  --  --  --  --             
                             In.sub.2 O.sub.3                             
                                   --  --  --  --  --  2.2 --             
                             Ga.sub.2 O.sub.3                             
                                   --  --  --  --  --  --  --             
                             Ce.sub.2 O.sub.3                             
                                   --  --  --  --  --  --  --             
                             Ta.sub.2 O.sub.5                             
                                   --  --  --  --  --  --  --             
                             Nb.sub.2 O.sub.5                             
                                   --  --  --  --  --  --  --             
                             WO.sub.3                                     
                                   --  --  --  --  --  --  --             
                             nd    1.4378                                 
                                       1.4342                             
                                           1.4356                         
                                               1.4337                     
                                                   1.4357                 
                                                       1.4712             
                                                           1.4715         
                             vd    88.80                                  
                                       89.34                              
                                           89.42                          
                                               88.80                      
                                                   85.90                  
                                                       85.70              
                                                           85.90          
__________________________________________________________________________
                         Wt. - %                                          
                         Example                                          
                               22  23  24  25  26  27  28  29             
__________________________________________________________________________
                         Oxide                                            
                         P.sub.2 O.sub.5                                  
                               10.8                                       
                                   10.8                                   
                                       10.1                               
                                           8.4 11.4                       
                                                   10.8                   
                                                       10.8               
                                                           10.8           
                         As.sub.2 O.sub.5                                 
                               0.6 0.6 0.6 0.6 --  0.6 0.6 0.6            
                         P.sub.2 O.sub.5 +                                
                         As.sub.2 O.sub.5                                 
                               11.4                                       
                                   11.4                                   
                                       11.1                               
                                           9.0 11.4                       
                                                   11.4                   
                                                       11.4               
                                                           11.4           
                         NaF   --  --  --  5.5 --  --  --  --             
                         NaCl  --  --  --  --  --  --  --  --             
                         Na.sub.2 SO.sub.4                                
                               --  --  --  --  --  --  --  --             
                         KF    --  --  --  1.0 --  --  --  --             
                         KBr   --  --  --  --  --  --  --  --             
                         Cs.sub.2 O                                       
                               --  --  --  --  --  --  --  --             
                         MgF.sub.2                                        
                               5.7 5.7 5.6 6.0 5.7 5.7 5.7 5.7            
                         CaF.sub.2                                        
                               20.3                                       
                                   20.3                                   
                                       19.7                               
                                           32.5                           
                                               20.2                       
                                                   20.3                   
                                                       20.3               
                                                           20.3           
                         SrF.sub.2                                        
                               22.1                                       
                                   22.1                                   
                                       21.5                               
                                           9.0 22.0                       
                                                   22.1                   
                                                       22.1               
                                                           22.1           
                         BaF.sub.2                                        
                               14.2                                       
                                   14.2                                   
                                       13.8                               
                                           --  14.1                       
                                                   14.2                   
                                                       14.2               
                                                           14.2           
                         ZrF.sub.4                                        
                               --  --  --  1.5 --  --  --  --             
                         K.sub.2 TiF.sub.6                                
                               --  --  --  --  2.2 --  --  --             
                         K.sub.2 TaF.sub.7                                
                               --  --  --  --  --  --  --  --             
                         AlF.sub.3                                        
                               23.2                                       
                                   23.2                                   
                                       22.6                               
                                           32.5                           
                                               23.5                       
                                                   23.2                   
                                                       23.2               
                                                           23.2           
                         LaF.sub.3                                        
                               0.9 0.9 0.9 --  0.9 0.9 0.9 0.9            
                         Y.sub.2 O.sub.3                                  
                               --  --  --  --  --  --  --  --             
                         YF.sub.3                                         
                               --  --  --  --  --  --  --  --             
                         Nd.sub.2 O.sub.3                                 
                               --  --  --  --  --  --  --  --             
                         NdF.sub.3                                        
                               --  --  --  3.0 --  --  --  --             
                         Gd.sub.2 O.sub.3                                 
                               --  2.2 4.8 --  --  --  --  --             
                         In.sub.2 O.sub.3                                 
                               --  --  --  --  --  --  --  --             
                         Ga.sub.2 O.sub.3                                 
                               --  --  --  --  --  --  --  --             
                         Ce.sub.2 O.sub.3                                 
                               2.2 --  --  --  --  --  --  --             
                         Ta.sub.2 O.sub.5                                 
                               --  --  --  --  --  2.2 --  --             
                         Nb.sub.2 O.sub.5                                 
                               --  --  --  --  --  --  2.2 --             
                         WO.sub.3                                         
                               --  --  --  --  --  --  --  2.2            
                         nd    1.4720                                     
                                   1.4717                                 
                                       1.4763                             
                                           1.4352                         
                                               1.4687                     
                                                   1.4738                 
                                                       1.4747             
                                                           1.4721         
                         vd    85.30                                      
                                   84.90                                  
                                       84.90                              
                                           89.47                          
                                               85.40                      
                                                   83.20                  
                                                       83.10              
                                                           84.50          
__________________________________________________________________________
 
    
     Glass example 11 has a fluorescence life of 380 microseconds. This is a time of approximately the same value as the discharge time of xenon flash lamps, i.e. the fluorescence life is nicely adapted to the period of the laser excitation. The effective cross-section of the induced emission is 2.7×10 -20  cm 2 , which corresponds to the maximum value which can be obtained with silicate glasses. The glass is highly resistant with regard to laser beam impulses. The destruction threshold is 20-40 J/cm 2  for an impulse duration of 40 ns. The non-linear refractive index is 0.625×10 -13  esu, whereas the laser glasses hitherto known have values of around 1.5×10 -13  esu. The temperature coefficient of the refractive index is negative. The temperature coefficient of the optical wavelength 
     
         (ds/dT)=(dn/dT)+(n-1)a 
    
     is very small: -1.5×10 -6  /°C. (n=refractive index, T=temperature, a=coeff. of therm expansion). The result of these properties is that the laser beam generated by the glass is not spread by the pump light when the temperature of the rod increases. Furthermore, the glass is chemically highly resistant. 
     
                       EXAMPLE 3 of TABLE 1                                        
______________________________________                                    
                                    Weigh-in per                          
                            Raw     8 kg calc.                            
Oxides   Weight %  Mole %   Component                                     
                                    glass                                 
______________________________________                                    
Na.sub.2 O                                                                
         4.06      2.98     NaF     448.00 g                              
K.sub.2 O                                                                 
         2.92      1.41     K.sub.2 CO.sub.3                              
                                    342.40 g                              
                            KHF.sub.2                                     
                                    214.93 g                              
MgO      4.23      4.78     MgF.sub.2                                     
                                    523.20 g                              
CaO      22.71     18.46    CaF.sub.2                                     
                                    2529.60 g                             
SrO      7.63      3.36     SrF.sub.2                                     
                                    740.00 g                              
BaO      --        --       --      --                                    
Al.sub.2 O.sub.3                                                          
         19.34     8.64     AlF.sub.3                                     
                                    2548.00 g                             
Nd.sub.2 O.sub.3                                                          
         2.52      0.34     NdF.sub.3                                     
                                    242.40 g                              
P.sub.2 O.sub.5                                                           
         8.98      2.88     P.sub.2 O.sub.5                               
                                    718.40 g                              
F.sub.2 --O                                                               
         27.61     57.15                                                  
MgO + CaO                                                                 
         26.94                                                            
SrO + BaO                                                                 
         7.63                                                             
nd        1.430                                                           
vd       90.8                                                             
n.sub.2  ca 0.513                                                         
______________________________________                                    
 
    
     
                       EXAMPLE 8 of TABLE 1                                        
______________________________________                                    
         Weight  Mole              Weigh-in per                           
Oxides   %       %      Raw Component                                     
                                   8 kg calc. glass                       
______________________________________                                    
Na.sub.2 O                                                                
         2.03    1.61   NaF        220.00 g                               
K.sub.2 O                                                                 
         0.20    0.11   KF         20.00 g                                
MgO      3.82    4.67   MgF.sub.2  472.00 g                               
CaO      19.83   17.43  CaF.sub.2  2208.80 g                              
SrO      9.12    4.34   SrF.sub.2  884.80 g                               
BaO      10.98   3.53   BaF.sub.2  1004.80 g                              
Al.sub.2 O.sub.3                                                          
         17.07   8.25   AlF.sub.3  2249.60 g                              
La.sub.2 O.sub.3                                                          
         0.37    0.06   LaF.sub.3  35.20 g                                
Nd.sub.2 O.sub.3                                                          
         1.10    0.16   NdF.sub.3  88.00 g                                
P.sub.2 O.sub.5                                                           
         7.95    2.76   P.sub.2 O.sub.5                                   
                                   636.00 g                               
As.sub.2 O.sub.5                                                          
         2.25    0.48   As.sub.2 O.sub.5                                  
                                   180.00 g                               
F.sub.2 --O                                                               
         25.28   56.60                                                    
MgO + CaO                                                                 
         23.65                                                            
SrO + BaO                                                                 
         20.10                                                            
P.sub.2 O.sub.5 +                                                         
As.sub.2 O.sub.5                                                          
         10.20                                                            
nd       1.4526                                                           
vd       88.0                                                             
n.sub.2  0.581                                                            
______________________________________                                    
 
    
     
                       EXAMPLE 11 of TABLE 1                                       
______________________________________                                    
         Weight   Mole   Raw       Weigh-in per                           
Oxides   %        %      Component 8 kg calc. glass                       
______________________________________                                    
Na.sub.2 O                                                                
         0.49     0.42   NaF       56.00 g                                
MgO      4.27     5.54   MgF.sub.2 528.00 g                               
CaO      14.39    13.40  CaF.sub.2 1600.00 g                              
SrO      18.01    9.09   SrF.sub.2 1744.00 g                              
BaO      10.70    3.65   BaF.sub.2 976.00 g                               
Al.sub.2 O.sub.3                                                          
         15.30    7.85   AlF.sub.3 2016.00 g                              
Nd.sub.2 O.sub.3                                                          
         2.16     0.34   Nd.sub.2 O.sub.3                                 
                                   173.00 g                               
P.sub.2 O.sub.5                                                           
         10.66    3.93   P.sub.2 O.sub.5                                  
                                   856.00 g                               
As.sub.2 O.sub.5                                                          
         0.60     0.14   As.sub.2 O.sub.5                                 
                                   48.00 g                                
F.sub.2 --O                                                               
         23.42    55.65                                                   
MgO + CaO                                                                 
         18.66                                                            
SrO + BaO                                                                 
         28.71                                                            
P.sub.2 O.sub.5 +                                                         
As.sub.2 O.sub.5                                                          
         11.26                                                            
nd       1.4683                                                           
vd       86.8                                                             
n.sub.2  0.625                                                            
______________________________________                                    
 
    
     The preceding examples can be repeated with similar success by substituting the generically or specifically described reactants and/or operating conditions of this invention for those specifically used in the examples. From the foregoing description, one skilled in the art to which this invention pertains can easily ascertain the essential characteristics thereof and, without departing from the spirit and scope of the present invention, can make various changes and modifications to adapt it to various usages and conditions.