fig1 illustrates the main components of a laser system constructed in accordance with the present invention for use in ablating tissue , shown at t . thus , the illustrated system includes a laser 2 which produces a continuous laser beam 4 . in the prefered embodiment of this invention the laser 2 is a carbon dioxide laser . the continuous laser beam is applied , to a laser scanner system , generally shown by box 6 , which cyclically scans the beam along two orthogonal axes to cause the beam to trace lissajous figures , shown generally at 8 in fig1 over the tissue t to be ablated . the laser beam leaving the scanning system 6 first passes through a focussing lens 10 which focusses the laser beam on tissue t . the scanning system 6 includes two mirrors 12 , 14 , each rotated by a motor m 1 . m 2 . these mirrors are so located with respect to the laser beam 4 and also to each other to cyclically scan the laser beam along two orthogonal axes , and to cause the beam to trace the lissajous fig8 over the tissue t to be ablated . the manner in which the lissajous fig8 are produced by the scanning mirrors 12 , 14 will now be described particularly with reference to fig2 - 7 . fig2 illustrates a system including motor m1 rotating at angular velocity ω1 about an axis defined by the normalised vector b1 . a mirror ( e . g ., 12 , fig1 ) is fixed to the motor such that its normal , defined by n1 , lies at an angle of θ / 2 to the rotating axis b1 . as the motor rotates , the vector n1 defines a cone of half angle θ / 2 . the axis of symmetry of the cone is defined by the vector b1 . a ray , defined by vector a , impinging on the mirror at an angle of 45 ° to axis b1 will , according to the laws of reflection , produce reflected rays described by the time dependent vector cl ( t ). this vector cl ( t ) traces an envelope of a cone with an elliptical base . the vector z1 , which represents the axis of this cone , lies in the plane defined by vectors a and b1 . the angle between vectors z1 and b1 is also 45 degrees . a cartesian coordinate system based on the three vectors x1 , y1 and z1 may now be defined . the origin of this coordinate system is represented by o 1 in fig2 . the vector x1 lies in the plane containing vectors a , b1 and z1 , and is perpendicular to vector z1 . the direction of vector y1 is perpendicular to vectors x1 and z1 . the projections of the reflected rays can now be described by the following equations : a x1 ( t ) is the angle of the projection cl ( t ) in the plane xl - zl ; a y1 ( t ) is the angle of the projection of cl ( t ) on the plane y1 - z1 ; and δ1 is an arbitrary phase which defines the angles a at time t = o . the relatively large displacement associated with amplitude θ in equation ( 1 ) lies in the plane containing vectors a and b1 . the smaller amplitude θ √ 2 of equation ( 2 ) is in the direction of vector yl . now can be added a second motor m2 ( fig3 ), whose axis is defined by vector b2 rotating with angular velocity ω2 . a mirror ( e . g ., 14 , fig1 ) whose normal is n2 ( t ) is fixed to motor m2 forming an angle of θ / 2 between normal n2 ( t ) and vector b2 ( as in motor m1 ). motor m2 will be aligned such that the axis of vector b2 lies at 45 ° to the axis of vector z1 . vector b2 also lies in the plane defined by vectors z1 and y1 . as a result , there is obtained reflected rays c2 ( t ) which form a solid cone with a circular ( not elliptical ) base . the axis of symmetry z2 of this cone lies at 45 ° to the axis b1 of the motor m1 and in the plane defined by vectors z2 and b2 . a new cartesian coordinate system may now be defined having an origin at o 2 ( see fig3 ). vector x2 is perpendicular to vector z2 and lies in the plane defined by vectors b2 and z2 . vector y2 is perpendicular to vectors x2 and z2 . the larger amplitude always exists in the x direction and the smaller amplitude in the y direction . the two motors m1 , m2 are aligned in such a way that the x direction of motor m1 combines with the y direction of motor m 2 , and the y direction of motor m 1 combines with the -- x direction of the second motor . in this way amplitude compensation is obtained , resulting in a cone with a circular ( not elliptical ) base . all the rays c2 ( t ) exiting from the second mirror ( e . g ., 14 , in fig1 ) are defined by the following equations : the angle of the exiting rays formed with axis z2 can exist between zero and ( θ + θ /√ 2 ). thus the rays fill the whole area of the base of the cone whose half angle is defined by ( θ + θ /√ 2 ). a ray which is focussed by a lens of focal length &# 34 ; f &# 34 ; ( e . g ., lens 10 , fig1 ), will be displaced at the back focal plane of the lens by an amount a . f , where a is the angle subtended by the ray and the optical axis of the lens ( see fig4 ). if a lens is placed perpendicular to axis z 2 ( fig5 ), a time dependent ray pattern will be produced at the focal plane of the lens ( of focal length f ), given by the following equations ( see fig5 and 6 ): for example , the lens may be of f = 125 mm ; the mirror wedge angle may be θ = 2 . 34 mrad ; and the angular velocities may be ω1 = 600 rad / sec and ω2 = 630 rad / sec . let a = θf /√ 2 = 0 . 207 ; b = θf = 0 . 293 ; and c = ω2 / ω1 = 1 . 05 . the ray exiting from the lens will scan at the focal plane an area whose limits are defined by a circle of radius 0 . 5 mm ( see fig6 ). every 20 revolutions the ray completely scans the whole area and starts anew . the 20 revolution scan period is about 0 . 2 seconds . the resultant ray pattern can be seen in fig6 . fig8 illustrates the invention in one form of laser apparatus used for free - hand surgery . the laser apparatus illustrated in fig8 therein designated 20 , outputs a laser beam via an articulated - arm system 22 and a handpiece 24 grasped by the surgeon for directing the laser beam to the appropriate locations of the tissue t to be ablated in accordance with the present invention , the laser of fig8 includes a scanner system , generally designate 26 , as described above for cyclically scanning the continuous laser beam along two orthogonal axes and thereby to cause the beam to trace lissajous figures over the tissue t to be ablated . in the apparatus illustrated in fig8 the focussing lens ( 10 , fig1 ) is in the hand - held handpiece gripped and manipulated by the surgeon . following is one example of the parameters of a hand laser apparatus such as illustrated in fig8 . these two velocities , vavg . and vmin ., are four times that shown in fig7 because fig7 represents a scan radius of 0 . 5 mm , whereas in the above example the radius is four times greater . 1 . spot radius at focus ## equ1 ## 12 2 . power density at focus p . d .= p / s = p / π · wo 2 = 637 watts / mm &# 39 ; where s is the area of the focussed spot . at this power density the thermal damage is minimal , and there are no signs of carbonisation . assuming no scanning , the rate of evaporation ve would be : at such a large speed there is no way of controlling the homegeneity of tissue removal . as a result , deep holes and valleys are formed . if the scanner is operated at a scan radius of r = 2 mm , the average power density on the tissue within the scanning area is : at this speed it is easy to control the rate of tissue removal causing minimal damage . because of the scan speed , each element of the tissue feels the equivalent of a short time pulse . the pulse duration is given by the ratio of the spot diameter at the focus ( 2wo ) to the linear scan speed ( vs ) ( see fig7 ). pulses of this duration give very low thermal damage . the time between successive pulses is 0 . 2 sec . this is the ideal time for the tissue to cool down . this is a further reason for low thermal damage . fig9 illustrates the invention included in another form of laser apparatus particularly useful for microsurgery . the laser , generally designated 30 in fig9 outputs a laser beam via a system of articulated arms 32 and a micro - manipulator 34 , such as described in u . s . pat . no . 4 , 228 , 341 , to the tissue t to be ablated . micro - manipulator 34 includes a joystick 35 enabling the surgeon to manipulate the laser beam as desired , and also an eyepiece and microscope ( not shown ) to permit the surgeon to view the working area containing the tissue to be ablated . the scanner system , generally designated 36 , corresponds to the scanner system 6 in fig1 and is effective to cyclically scan the continuous laser beam along two orthogonal axes as described above to cause the beam to trace lissajous figures over the tissue to be ablated . following is one example of the parameters of a gynecological colposcope constructed as illustrated in fig9 and having a working distance of 400 mm . the laser apparatus illustrated in fig9 and constructed in accordance with the foregoing parameters produces the following results : 1 . spot radius at focus ## equ2 ## 2 . power density at focus p . d .= p / s = p / πwo 2 = 165 watts / mm 2 . at this power density the thermal damage and carbonisation is minimal . with the scanner , p . d .= p / πr 2 = 60 / π2 2 = 4 . 78 watts / mm 2 , and the rate of evaporation ve = 0 . 4 × p . d .= 0 . 4 × 4 . 78 = 1 . 9 mm . sec . this represents an evaporation rate which is very convenient for efficient working conditions . 4 . pulse duration tavg = 2wo / vavg = 2 × 0 . 34 / 808 = 840 μsec . pulses of this duration create very low thermal damage . while the invention has been described with respect to several preferred embodiments , it will be appreciated that these are set forth merely for purposes of example , and that many variations may be made . for example , the scanning need not trace lissajous figures ; in fact , only one scanning mirror is needed since the movement of the laser by the surgeon will cause the beam to scan the surface to be ablated . also , more than two mirrors could be used . many other variations , modifications and applications of the invention may be made .
a system for causing uniform ablation of irradiated material of living tissue while not causing damage below a predetermined depth where laser radiation is provided sequentially and continuously in a predetermined pattern is disclosed .