!///////////////////////////////////////////// ]7l{g9?ZtV
!作者:Drding --SITP :fW.-^"VP
!时间:2006.12.23 &~}@u[=ux
!功能:计算几何相差 90(UgK&Y
!///////////////////////////////////////////// cTy'JT7
F#KF6)P
!///////////////////////////////////////////// GqMB^Ad
print "=================================================" 18rp;
l{
print "作者:Drding@SITP"
\eT/ %$
print "时间:2006.12.23" L,
#Byao
print "功能:计算几何相差" %2,/jhHL
print "=================================================" P]-#wz=S
:^5>wDu{
!///////////////////////////////////////////// G4O3h Y.`
g kn)V~ij
n@_)fFD%
!////////////////////////////////////////////// xlk5Gob*
print "系统参数" ]An_5J
print "==================================================" }q]jjs
!////////////////////////////////////////////// 9LHa&""
FORMAT 20.9 5DUi4 Cbgy
GETSYSTEMDATA 1 IBDVFA
PRINT "孔径大小 : ", VEC1(1) N|o>%)R
PRINT "环境数据 : ", VEC1(4) Z"]xdOre
PRINT "温 度 : ", VEC1(5) 8M~u_`6
PRINT "压 强 : ", VEC1(6) ,,7.=#
PRINT "有效焦距 : ", VEC1(7) ?o8a_9+
PRINT "像面 F/# : ", VEC1(8) shD+eHo$
PRINT "物方N.A. : ", VEC1(9) UL[uh@4
PRINT "工作 F/# : ", VEC1(10) :|Upx4]Ec
PRINT "入瞳直径 : ", VEC1(11) Pm~,Ky&Hl
PRINT "入瞳位置 : ", VEC1(12) l-XnB
PRINT "出瞳直径 : ", VEC1(13) wzg i
@i
PRINT "出瞳位置 : ", VEC1(14) <34 7 C{q
PRINT "理想像高 : ", VEC1(15) ]M uF9={
PRINT "理想放大率: ", VEC1(16) ;tm3B2
PRINT "角放大率 :", VEC1(17) +<z7ds{Z
PRINT "系统总长 : ", VEC1(18) aw]8V:)$J
print "==================================================" DVbYShB
&hO$4q tN
!////////////////////////////////////////////////////// *XHj)DC;
$@68=
print "几何像差计算" RZ<.\N
(M
print "==================================================="
\_?yzgf
print "一. 轴上像差计算" @}ZGY^
print t6j-?c('
3mybG%39
print "1.D光球差计算" vu44 !c@
?~{rf:Y
w8O hJv
!1H处球差计算 `..EQBM
. c#90RP
n=NSUR() &:-GI)[o
$x/J+9Ww
!主波长近轴理想像位置 )eVzS j>MT
PARAXIAL ON <. ezw4ju
RAYTRACE 0,0,0,1 makaI0M
R=RAYM(n)/RAYN(n) n<=y"*
ld=-1*RAYY(n-1)/R
Ca$y819E2
ld$=$STR(ld) F_K
print "主波长近轴理想像位置:", ld$ K6ciqwUO
PE^eP}O1
!主波长1H光线实际像位置 ]Qh[%GD
PARAXIAL OFF iOKr9%9?Z
RAYTRACE 0,0,0,1 :vw0r`
r_1h=RAYM(n)/RAYN(n) j)<;g(
ld_1h=-1*RAYY(n-1)/r_1h ',:3>{9
ld_1h$=$STR(ld_1h) tWcizj;?wK
print "主波长边缘实际像位置:", ld_1h$ kx:c*3q.k
NJ.rv
!主波长0.7H光线实际像位置 o7m99(
PARAXIAL OFF tX+0 GLz
RAYTRACE 0,0,0,0.7 Q S5dP
r_0.7h=RAYM(n)/RAYN(n) &t[z
ld_0.7h=-1*RAYY(n-1)/r_0.7h ,G/\@x%
ld_0.7h$=$STR(ld_0.7h) pM1=UF
print "主波长0.7H实际像位置:", ld_0.7h$ %g!yccD9
0TpBSyx.
!主波长边缘球差δL_1h 主波长0.7视场球差 lO%MyP
DLD_1H=ld_1h-ld -bv>iIC
DLD_0.7H=ld_0.7h-ld c(QG4.)m
print "D光1H球差 D光0.7H球差" oH!$eAU?
Format 13.7 l~`txe
Print $STR(DLD_1H),$STR(DLD_0.7H) PWADbu{+
print Tnzco
=1%zI%
print "2.F光球差计算" Y:DNu9
!F光1H位置 zv8aV2?D
PARAXIAL OFF aS c#&{
RAYTRACE 0,0,0,1,1 a7ub.9>
rf_1h=RAYM(n)/RAYN(n) AsTMY02|
ldf_1h=-1*RAYY(n-1)/rf_1h >1#DPU(g
ldf_1h$=$STR(ldf_1h) p~,a=
print "F光1H像位置:",ldf_1h$ dt`9RB$
)->-~E}p9
!F光0.7H位置 SSl8
PARAXIAL OFF @9n
#vs
RAYTRACE 0,0,0,0.7071,1 <B|n<R<?
rf_0.7h=RAYM(n)/RAYN(n) 2+c>O%L
ldf_0.7h=-1*RAYY(n-1)/rf_0.7h 'w>uFg1.
ldf_0.7h$=$STR(ldf_0.7h) ;t.SiA
print "F光0.7H像位置:",ldf_0.7h$ z^gDbXS
?^+#pcX]t|
!F光0H位置 .WN;TjEg!
PARAXIAL ON >
gA %MT
RAYTRACE 0,0,0,1,1 ;oN{I@}k
rf_0h=RAYM(n)/RAYN(n) wgSR*d>y*9
ldf_0h=-1*RAYY(n-1)/rf_0h $Uv<LVd(
ldf_0h$=$STR(ldf_0h) Pn'QOVy
print "F光0H像位置:",ldf_0h$ .y/NudD
[ZL r:2+z
!求F光球差 ;o~+2Fir
dldf_1h=ldf_1h-ld 8GF[)z&|P:
dldf_0.7h=ldf_0.7h-ld Im0+`9Jw
dldf_0h=ldf_0h-ld ZuF4N=;
print "F光1H球差 F光0.7H球差 F光0H球差" i_oro"%yL
Format 13.7 DK#65H'
Print $STR(DLDf_1H),$STR(DLDf_0.7H),$STR(dldf_0h) /iuUUCk
print >#"jfjDuR
=jk-s*g
print "3.C光球差计算" ($[r>)TG
!C光1H位置 }`+^|1
PARAXIAL OFF &vJ(P!2f<
RAYTRACE 0,0,0,1,nwav() hJ$C%1;
rc_1h=RAYM(n)/RAYN(n) .,d$%lN
ldc_1h=-1*RAYY(n-1)/rc_1h teQaHe#
ldc_1h$=$STR(ldc_1h) T@d_t
print "C光1H像位置:",ldc_1h$ Mc#O+'](f
tF;& x
g
!C色光0.7H位置 @4 Os?_gJ\
PARAXIAL OFF "tg\yem
RAYTRACE 0,0,0,0.7071,nwav() ~u~[E
rc_0.7h=RAYM(n)/RAYN(n) ei|*s+OZu
ldc_0.7h=-1*RAYY(n-1)/rc_0.7h %z!d4J75
ldc_0.7h$=$STR(ldc_0.7h) ^w&5@3d
print "C光0.7H像位置:",ldc_0.7h$ PJSDY1T
2]_4&mU
!C光0H位置 NbQMWU~7
PARAXIAL ON V{AH\IV-
RAYTRACE 0,0,0,1,nwav() AK*mcTr
rc_0h=RAYM(n)/RAYN(n) C-:SQf
ldc_0h=-1*RAYY(n-1)/rc_0h yp^[]Mz=
ldc_0h$=$STR(ldf_0h) ]"2 v7)e
print "C光0H像位置:", ldc_0h$ =yhn8t7@]
()3x%3
!求C光球差 CL<KBmW7
dldc_1h=ldc_1h-ld >2/wzsW
dldc_0.7h=ldc_0.7h-ld Nak'g/uP>
dldc_0h=ldc_0h-ld ?-.Ep0/
print "C光1H球差 C光0.7H球差 C光0H球差" cciAMQhA
Format 13.7 +qSr=Y:+
Print $STR(DLDc_1H),$STR(DLDc_0.7H),$STR(dldc_0h) o?Tp=Ge
print qqz,~EhC
t7*H8
print "4.轴向色差计算" G\,A> mT/P
dlfc_1h=ldf_1h-ldc_1h yTq(x4]
dlfc_0.7h=ldf_0.7h-ldc_0.7h }G,SqpcG
dlfc_0h=ldf_0h-ldc_0h _?(hWC"0
print "1H色差 0.7H色差 0h色差" jt10gVC
Format 13.7 MLv.v&@S
Print $STR(DLfc_1H),$STR(DLfc_0.7H),$STR(dlfc_0h) b0z{"
print e2Kpx8kWj
Z9
q{r s
$E9daUt8"J
print"================================================" utm+\/
print"二. 轴外像差计算" 0@mX4.!
print "1.正弦差计算" hOrk^iYN=
G4iLCcjY
!依次求LZ,h1,h01,U,sinU i6g[E4nk
PARAXIAL ON EfrkB"
RAYTRACE 0,1,0,0 )zL"r8si
LZ=-1*RAYY(n-1)/(RAYM(n-1)/RAYN(n-1)) (zTI)EV
!print $STR(LZ) He71h(BHm
lA
Ck$E
PARAXIAL OFF yY@s(:
RAYTRACE 0,0,0,1 ,d [b"]Zy
h1=RAYY(1) +O!M>
sinu=RAYM(n-1) fFTvf0j
PARAXIAL ON sh))[V"8
RAYTRACE 0,0,0,1 @#ho(_U8
h01=RAYY(1) zhvk%Y:
OSC1=h1*R*(ld-LZ)/(h01*sinu*(ld_1h-LZ))-1 Z\gg<Q
print "1).物距在无限远:" ,$STR(osc1) J:-TINeB
tx1m36a"
PARAXIAL OFF "JUQ)> !?
RAYTRACE 0,0,0,1 o|*|
sinu1=RAYM(0) 6L6~IXL>
PARAXIAL ON w<F;&';@h
RAYTRACE 0,0,0,1 cmGj0YUQ1
u1=RAYM(0) m5;[,He
!print $STR(u1) gq:TUvX
OSC2=sinu1*R*(ld-LZ)/(sinu*u1*(ld_1h-LZ))-1 8|-mzb&
print "2).物距在有限远:",$STR(osc2) 6`5
@E\"E
print t ]I(98pY
':R3._tw\
?D^,K`wY=B
[sY1|eX
n.qxxzEN
print "2.1W处轴外像差" &F*QYz[
:mtw}H 'F8
PARAXIAL OFF >La L!PnZ
RAYTRACE 0,1,0,1 Gv+Tg/
ya_1w=RAYY(n) vyx\N{
TANua_1w=RAYM(n-1)/RAYN(n-1) 53+rpU_
PARAXIAL OFF ]E8<;t)#
RAYTRACE 0,1,0,-1 $E_vCB_
yb_1w=RAYY(n) lbuW*)
TANub_1w=RAYM(n-1)/RAYN(n-1) 5iI3u 7Mn1
XT_1W=-1*(ya_1w-yb_1w)/(tanua_1w-tanub_1w) {LJ6't 8y:
print "1).子午宽光束场曲:",$STR(XT_1W) .8PO7#
y>cmKE
[Fj#7VZK
PARAXIAL OFF B[_b J
*
RAYTRACE 0,1,0,0.01 Z2j*%/
Xya_1w=RAYY(n) *=0r>]
XTANua_1w=RAYM(n-1)/RAYN(n-1) #M9D"
<pn}
PARAXIAL OFF >=W#z
RAYTRACE 0,1,0,-0.01 a&c#* 9t{
Xyb_1w=RAYY(n) Q|H cg|
XTANub_1w=RAYM(n-1)/RAYN(n-1) w{O3P"N2
XXT_1W=-1*(Xya_1w-Xyb_1w)/(Xtanua_1w-Xtanub_1w) @)'@LF1Z
print "2).子午细光束场曲:"$STR(XXT_1W) gsR9M%mv
aE cg_es
AW;)_|xM
DLT_1w=XT_1W-XXT_1w sv6U%qV
print "3).1 W处子午球差:",$STR(DLT_1w) HXV73rDA
f]A6Mx6
XM@i|AK
M0
PARAXIAL OFF 2GKU9cV*`
RAYTRACE 0,1,0,0 #bZ=R
YP_1w=RAYY(n) `8.32@rUB.
KT_1W=ABSO(YP_1w)-0.5*(ABSO(yb_1w)+ABSO(ya_1w)) .&} 4
print "4).1 W处子午彗差:",$STR(KT_1w) g!Yh=kA'N
=
hX-jP
Qp.!U~
<J}9.k
PARAXIAL OFF n@,eZ!
RAYTRACE 0,1,0,0 nzJi)A./
CE_1W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) }_/h~D9-T#
PARAXIAL OFF UpseU8Wo
RAYTRACE 0,1,1,0 P:-/3
XS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) j=QR*8*
print "5).1W宽光束弧矢彗差:",$STR(XS_1w) f=O>\
aq \TO?
.-~%w
PARAXIAL OFF 8Y~T$Yj^
RAYTRACE 0,1,0.01,0 UVmyOC[Y{
XXS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) B:#0B[
print "6).1W细光束弧矢彗差:",$STR(XXS_1w) WJ4UJdf'
`/ReJj&~
C{,] 1X6g
SDLD_1W=XS_1w-XXS_1w _"bvT?|
print "7).1 w 弧矢球差:",$STR(SDLD_1W) Bo\v-97
[#6Esy8|
(IHBib "
XTS_1W=XXT_1W-XXS_1w ;U3Vows
print "8) 1w 像散:",$STR(XTS_1W) H08YMP>dc
Y '*h_K
|/\1nWD
PARAXIAL ON VD`2lGdF
RAYTRACE 0,1,0,0 c
O>:n
H_1H=RAYY(n) =d.W'q|
PARAXIAL OFF @wJa33QT
RAYTRACE 0,1,0,0,2 f8jz49C
Hf_1h=RAYY(n) I>~BkR+u%o
DYZF_1h=Hf_1h-H_1h t
U=b~
print "9).F光1w畸变:",$STR(DYZF_1h) N%E2BJ?
<U`Nb) &
QO1Gq9
PARAXIAL OFF T\CQ
RAYTRACE 0,1,0,0,3 Awf=yE:
Hc_1h=RAYY(n) @_ZWP
DYZc_1h=Hc_1h-H_1h c;}n=7,>:L
print "10).C光1w畸变:",$STR(DYZc_1h) B_jI!i{N%o
f|1FqL+T]
TEZqAR]G
DYZFC_1h=DYZF_1h-DYZC_1h Jiylrf`o
print "11).F,C光垂轴色差:",$STR(DYZFC_1h) >Nl~"J|]q
print \1D,Kx;Cb
'6J$X-
yZaDNc9'
print "3. 0.7W轴外像差" 2czL 1Ci
HTpd~W/\
PARAXIAL OFF F4(U~n<
RAYTRACE 0,0.7071,0,1 ]=<@G.[=
ya_0.7w=RAYY(n) 4GA-dtyV&
TANua_0.7w=RAYM(n-1)/RAYN(n-1) a3IB, dr5P
PARAXIAL OFF irj}:f;!eF
RAYTRACE 0,0.7071,0,-1 :S6 <v0`Z
yb_0.7w=RAYY(n) o;I86dI6C
TANub_0.7w=RAYM(n-1)/RAYN(n-1) 6.=1k
XT_0.7W=-1*(ya_0.7w-yb_0.7w)/(tanua_0.7w-tanub_0.7w) T7_rnEOO
print "1).子午宽光束场曲:",$STR(XT_0.7W) <{Wa[1D
I3b-uEHev
HOb\Hn|6jq
PARAXIAL OFF "z4E|s
RAYTRACE 0,0.7071,0,0.01 Q[tz)99~
Xya_0.7w=RAYY(n) Nx
z ,/d
XTANua_0.7w=RAYM(n-1)/RAYN(n-1) 481u1
PARAXIAL OFF V t;&2v
RAYTRACE 0,0.7071,0,-0.01 o;/F=Zp
Xyb_0.7w=RAYY(n) !`E2O*g
XTANub_0.7w=RAYM(n-1)/RAYN(n-1) A1T;9`E
XXT_0.7W=-1*(Xya_0.7w-Xyb_0.7w)/(Xtanua_0.7w-Xtanub_0.7w) Kx!|4ya,
print "2).子午细光束场曲:",$STR(XXT_0.7W) [T|1 Qq7
?KW?] o
5X|aa>/
DLT_0.7w=XT_0.7W-XXT_0.7w H8k| >4
print "3).0.7W处子午球差:",$STR(DLT_0.7w) /^ 7
9|$E
YP97D n
.gg0:
PARAXIAL OFF ;%9ZL[-
RAYTRACE 0,0.7071,0,0 _fw'c*j
YP_0.7w=RAYY(n) #2,L)E\G8e
KT_0.7W=ABSO(YP_0.7w)-0.5*(ABSO(yb_0.7w)+ABSO(ya_0.7w)) ^E*C~;^S
print "4).0.7W处子午彗差:",$STR(KT_0.7w) xF0*q
PmTd+Gj$
Yy 1Pipv
NKYyMHv6
PARAXIAL OFF 5OE?;PJ(
RAYTRACE 0,0.7071,0,0 6Z:|"AwC2
CE_0.7W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) Q&{5.}L
PARAXIAL OFF $yJfAR
RAYTRACE 0,0.7071,1,0 [-a/]
XS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) u?/]"4
print "5).0.7W宽光束弧矢彗差:",$STR(XS_0.7w) ).b+S>k
IA^DfdZY
FiL
JF!
PARAXIAL OFF /m:}rD
RAYTRACE 0,0.7071,0.01,0 VQ`O;n6/`
XXS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) oaE3Aa
print "7).0.7W细光束弧矢彗差:",$STR(XXS_0.7w) !{\c`Z<#
U {v_0\ES
"WL
SDLD_0.7W=XS_0.7w-XXS_0.7w vS<e/e+
print "7).0.7w弧矢球差:",$STR(SDLD_0.7W) '(*D3ysU
6 , ~aV
' 'N@ <|
XTS_0.7W=XXT_0.7W-XXS_0.7w vkLG<Y
print "8)0.7w 像散:",$STR(XTS_0.7W) bN)?szh&Y