几何光学讲义p96~p99.doc

幾何光學講義p.96p99幾何光學講義p.100WAVE ABERATION FUNCTION SECTIONSWAVE ABERATION FUNCTION:MERIDIONAL SECTIONAL: (x=0)TRANSVERSE SECTION: (y=0)幾何光學講義p.101RAY FANSMERIDIONAL FAN: (x=0)TRANSVERSE FAN: (y=0)幾何光學講義p.102ZONAL DIAGRAMS幾何光學講義p.103SPHERICAL ABRRATIONZONAL IMAGE IS CIRCLE CENTERED ON CHIEF RAY WITH RADIUSAT PARAXIAL FOCUS DIAMETER OF IMAGE IS DISTANCE FROM PARAXIAL TO MARGINAL FOCUS幾何光學講義p.104（）CAUSTIC (EXTERNAL)d(r)/d=(2R/nrc ) (W20+6W040 2)=0W20= -6W040 2PARAMETRIC EQUATIONDISTANCE FROM PARAXIAL FOCUSzc= -(12 R2/nrc )W040 2RADIUS OF CASTIC rc=8 (R/nrc)W040 3CAUSTIC (AXIAL) gA= -4(R2/nrc2) W040 2 (LONEITUDINAL SPHERICAL ABERRATION) rA=0FOR ANY RAY PASSING THROUEG PUPIL AT PADIUS ，THE ABOVE EQUATIONS LOCATE THE CENTERS OF PRINCIALCURVATURE OF THE WAVEFRONT AT THE LOCATION OF THERAY IN THE PUPIL.幾何光學講義p.105MINIMUM CIRCLECAUSTIC INTERSECT MAREINAL RAY CONE rc= r(1)8 (R/nrc)W040 3=2(R/nrc)(W20+2W040 ) ，W20= -6 W040 2 =4(R/nrc)W040 (-32 +1) 23 = -32 +1 (+1)2 (2-1)=0 = -1 =1/2DIAMETER OF MINIMUM CIRCLE IS 2(R/nrc) W040DISTANCE FROM PARAXIAL FOCUS TO MINIMUM CIRCLE IS z= -3(R2/nrc2) W040幾何光學講義p.106p.110FIGURES幾何光學講義p.111COMA W=W20 2 +W131 H 3 cosx = -(R/nrc)2W20 sin +W131 H 2 sin = -(R/nrc)2W20 + 2W131 H 2 cossiny = -(R/nrc)2W20 cos +W131 H 2 (2+cos2) = -(R/nrc) W131 H 2 +2W20 + 2W131 H 2 coscosZONAL IMAGE IS LIMAGON OF PASCAL WITH ORIGIN ATx = 0 ， y = -(R/nrc) W131 H 2 FOR W20 =0 ，THIS DEGENERATES TO (DOUBLE) CIRCLE，CENTER AT x = 0 ， y = -2(R/nrc) W131 H 2 RADIUS r = (R/nrc) W131 H 2ZONAL IMAGE IS CARDIOID WHEN W20 = + W131 H = - W131 H 幾何光學講義p.112幾何光學講義p.113ASTIEMATIBM W=W20 2 +W222 H2 2 cos2 + W220 H2 2x = -(R/nrc)2W20 sin +2W220 H2 sin x = sin = -(2R/nrc)W20 + W220 H2 siny = -(R/nrc)2W20 cos +2(W220 + W222) H2 cos = -(2R/nrc) W20 +(W220 + W222 )H2 cos y = cosZCNAL IMAGE IS EUIPSE CENTERED ON CHIEF RAY x2 /(2R/nrc)W20 +W220 H2 2 + y2 /(2R/nrc)W20 +(W220+W222 )H22=1SAGITTAL FOCUSW20 = - W220 H2y = -(2R/nrc) W222 H2 cos x = 0TANGENTIAL FOCUSW20 = -W222 H2x = -(2R/nrc