Silicon spatial light modulator
STATEMENT OF GOVERNMENT INTEREST 
     The invention described herein may be manufactured and used by or for the Government for governmental purposes without the payment of any royalty thereon. 
    
    
     BACKGROUND OF THE INVENTION 
     The present invention relates to the field of spatial light modulators. 
     Prior art spatial light modulators are made from III-V semiconductors and require sophisticated, complex, expensive fabrication techniques such as multi-layer heteroepitaxy. Furthermore, they are quite wavelength and temperature sensitive as they must be operated near the bandgap wavelength. Accordingly, there is a need for a spatial light modulator (SLM) which can be fabricated from fewer materials in a simpler and thus less costly manner. There is also a need for an SLM which is less sensitive to changes in wavelength of light and temperature. There is also a need for an SLM which can modulate light inputted thereto regardless of its state of polarization. 
     BRIEF SUMMARY OF THE INVENTION 
     These needs are met by providing an SLM having a body of crystalline silicon which is doped in a manner to produce a two dimensional array of forward biased, dual injection p-i-n diode picture elements, hereinafter called DPEs. The SLM operates over a 1.3-20 micron wavelength range, in a transmission or reflection mode. Each picture or pixel element may be selectively forward biased to produce an &#34;on&#34; state and zero biased to produce an &#34;off&#34; state. 
    
    
     Other objects, features and advantages of the invention will become apparent upon study of the following description taken in conjunction with the drawings in which: 
     FIG. 1 illustrates a front view of a presently preferred embodiment of the invention; 
     FIG. 2 illustrates a side view of such embodiment; 
     FIGS. 3-6 illustrate the relationship between various operating parameters in graphic form. 
    
    
     DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS OF THE INVENTION 
     Each diode pixel element (DPE) 1, has a crystalline Silicon body 3 having a central longitudinal axis 5, along which coherent collimated or quasi-collimated light 7 produced by light source 8 is propagated. Terminal DPE portions are doped in a manner to be described, to produce an anode 13 and a cathode 15. 
     Metallic strips 11 form column conductors making ohmic contact with cathodes 15, and metallic strips 9 form row conductors for making ohmic contact with anodes 13. Conventional X-Y array address electronic circuitry 6 and 8 is used to address each DPE row-at-a-time or in sequence, and to apply forward biasing potentials across selected pixels to change the states of the DPE&#39;s. 
     In the transmission mode, light having a wavelength of between 1.1-20 microns, enters the device and passes through the anodes 13, the body 3, and emerges from the cathodes 15 as indicated at 10. The light should be substantially perpendicular to the major faces 12 and 14 of the SLM and thus is parallel to axes 5. Since each DPE has a large depth-to-width ratio as shown in FIG. 2, light that is not substantially parallel to axes 5 would produce an undesirable &#34;shadowing&#34; effect. 
     Silicon body 3 has an anode portion 13 which is p+doped to a depth of about two to three microns, and a cathode portion 15 which is n+ doped to a depth of two to three microns. Thus the anode and cathode portions are optically &#34;thin&#34; and thereby transparent. Despite the heavy contact doping of the anode and cathode, less than one DB of optical attenuation takes place. The unintentional residual or background doping of Si body 3 denoted as no-po, is chosen to be large enough for high carrier injection, and yet small enough to minimize free-carrier optical absorbtion loss at zero voltage bias; no-po is the concentration of residual donor impurities, minus the concentration of residual acceptor impurities. This residual doping of body 3 will be typically in the range of 10 16  to 10 17  donors-minus-acceptors per cm 3 . The impurity density of the doped anode and cathode is about 10 19  carriers per cubic cm, to provide good electrical properties, including high conduction, and optical transparency. Since the body 3 could be either n-type or p-type, the diodes could be either p+-n-n+ or n+-p-p+. The cathodes and anodes fill the entire terminal DPE portions 2 shown in FIG. 1. 
     Since both holes and carriers are injected along the length of axes 5, in this dual injection mode, the change in the index of refraction Δn is doubled, relative to the injection of electrons or holes only. The resulting free-carrier plasma dispersion effect in the SLM is highly beneficial as will be explained hereinafter. 
     Also, the longitudinal current flow along axis 5 minimizes the required current density J through each DPE. This current would be ten-100 times greater if the current flow would be transverse to the direction of light propagation along the DPE axis. The picture elements are closely packed, yet isolated from each other by smooth vertical walls comprising dielectric material which &#34;glues&#34; all DPEs together mechanically. These walls, extending along the length of each DPE, will assure complete electrical and optical isolation of each DPE from its neighboring DPEs. They also serve to &#34;passivate&#34; the p/n junction and will assure low leakage currents. The walls 17, coating the sides of the DPEs, shown in FIGS. 1 and 2, can be made of SiO 2  or an organic polymer such as polyimid. An important feature of this wall-cylinder construction is that the injection current is completely confined within a forward biased addressed DPE, and thus current does not fringe into neighboring DPEs, even though the DPEs have a large &#34;aspect ratio&#34;. 
     It is also desirable to keep the size of the metallic row-column addressing strips 9 and 11 small, so as not to block or obscure the light travelling through the DPEs. They should thus occupy non-centralized areas of the DPEs, along the corners or the edges thereof adjacent walls 17. The anodes could be individually contacted with an N×N array of silicon driving transistors that are fabricated within a Si wafer. The wafer would have its back face optically polished as well as its front face, so that it is an optically transparent drive circuit wafer. Each transistor would be positioned in a corner of each DPE area so as not to obscure much light. The transistors and metallizations should not obscure more than twenty percent or less of the light. If the array were operated in reflection, then it would be desirable to make the rear metallizations fill ninety percent of the DPE area since they could act as optical mirrors for the pixel elements. 
     Non-equilibrium carriers in Si produce Δn+iΔk, where Δn is the real index change and Δk is the change in optical extinction coefficient. The change in optical absorbtion Δα is given by 2πΔK/ 2 . Thus we obtain combined amplitude and phase modulation, which is acceptable in a phase dominant SLM. See Horner, J. and Soref, R.; Electronics Letters, 1988, vol. 24, pp. 626-628. The pixel depth needed for 180 degree phase modulation, a useful modulation, is given by L(π). Using the Drude model where Dn increases as λ 2 , we find that 
     
         L.sub.π in microns=2817/λ for ΔN.sub.eh =10.sup.17 carriers/cm.sup.3, with λ in microns. 
    
     
         L.sub.π in microns=345/λ for ΔN.sub.eh =10.sup.18 carriers/cm.sup.3, with λ in microns. 
    
     The Drude theory also shows that Δα increases as λ 2 . Using this, we can estimate the depth L that is required for significant intensity modulation (IM) at long wavelengths. Let IM(dB) refer to the optical on/off intensity modulation of each pixel in dB. In that case, we find that 
     
         IM(dB)=1.8×10.sup.-4 λ.sup.2 L for ΔN.sub.eh =10.sup.17 cm.sup.-3 with λ and L in microns. 
    
     
         IM(dB)=2.8×10.sup.-4 λ.sup.2 L for ΔN.sub.ah =10.sup.17 cm.sup.-3 with λ and L in microns. 
    
     The results are plotted in FIGS. 3 and 4 as a function of optical wavelength, where FIG. 4 shows contours of constant intensity modulation for a given interaction length on the vertical scale. From FIG. 3 we conclude that L.sub.π is a sensitive function of ΔN eh  in the 1.3 to 2 micron region, and that ΔN eh  ˜10 18  /cm 3  needed to keep the pixel depth below 400 microns in this wavelength range. From FIG. 4, we conclude that we can get only 3 dB of intensity modulation in the 3-5 micron atmospheric window at high injection (ΔN eh  =10 18  /cm 3 ) with a pixel depth of 400 microns. If however, we operate at the longer wave region of 8-14 microns, then it is easy to attain strong intensity modulation of 10-15 dB with pixel depths of 400-500 microns at moderate and high injection. We now turn to the theory of double injection diodes (Friedman, Soref, Lorenzo, J. of Applied Physics, vol. 63, Mar. 15, 1988, pp. 1831-1839, equations 12 and 13) in order to estimate the current density J, the required drive voltage V, the background doping of the diode, the drive current I per pixel and the injected carrier density ΔN eh . Generally, we would use a background doping M c  -P o  in the range 10 16  -10 17  /cm 3 , for optical transparency. If we specifically select M o  -P o  =4×10 16 , we find from Ref 2 in the Applied Physics publication, that 
     
         J=2.36×10.sup.9 V.sup.1.5 L.sup.-2 with L in μm and J in A/cm.sup.2 ΔN.sub.eh =8.76×10.sup.20 V.sup.20 V.sup.0.5 L.sup.-1 with L in μm and ΔN.sub.eh in cm.sup.-3. 
    
     These relations hold for any wavelength The results for both quantities are plotted as a function of pixel depth in FIGS. 5 and 6, for V=0.2 volts. We find that we can keep J below 1000 A/cm 2  by choosing L to be greater than 450 microns at V=0.2 volts. Also for L=450 microns, the hole and electron injection is 9×10 17  pairs per cubic cm at this voltage, which is a high number. The injection is 8×10 17  per cm 3  at L=500 microns. The conclusion is that L=500 microns is a good compromise number in the various wavelength ranges discussed above at 0.2 volts. 
     The typical pixel area is about 50×50 microns. Hence the depth-to-width aspect ratio is about 10:1. This might create a few optical problems and the pixels could be somewhat difficult to construct. It is difficult to increase the SLM resolution to very high values by shrinking the pixel area down to 10×10 microns because that would increase the aspect ratio to 50:1 which would intensify the optical and construction problems. However, the optical problem can be alleviated by positioning a 2-D array of fly&#39;s eye lenslets at the SLM input and a similar lenslet array at the SLM output. Another drawback is the relatively high J required per pixel. For example, the current for each pixel, having an area a, (I=Ja) is 25 mA in the J=1000 A/cm 2  limit. The J and I requirements could present a problem for the pixel drivers and for heat dissipation in the SLM, and thus cooling may be required. 
     While preferred embodiments have been described, other embodiments will occur to the worker in the art and thus the scope of the invention is to be limited only by the language of the following claims and art recognized equivalents.