!///////////////////////////////////////////// qT
#=C'?
!作者:Drding --SITP KKb7dZbt<
!时间:2006.12.23 a&2x;diF
!功能:计算几何相差 gdoaXw;Sy
!///////////////////////////////////////////// `QRXQ c
n[r1h=?j3
!///////////////////////////////////////////// 9z{g3m70@
print "=================================================" X8}\m%gCU
print "作者:Drding@SITP" MxI*ml8z?
print "时间:2006.12.23" (UhJ Pco"
print "功能:计算几何相差" oR!h
eCnu
print "=================================================" Z]WX 7d
E(_k#X
!///////////////////////////////////////////// ;I80<SZ
ut]UU*g^$
u|.|dv'mbp
!////////////////////////////////////////////// @$L|
print "系统参数" 6R8>w,
print "==================================================" BFP@Yn~k
!////////////////////////////////////////////// 6[RTL2&W
FORMAT 20.9 g:xg ~H2
GETSYSTEMDATA 1 5-k gGOt
PRINT "孔径大小 : ", VEC1(1) 0%;| B
PRINT "环境数据 : ", VEC1(4) {q+gm1iC
PRINT "温 度 : ", VEC1(5) ~;pP@DA
PRINT "压 强 : ", VEC1(6) 5D?{dA:Rq
PRINT "有效焦距 : ", VEC1(7) E BoC,{R#
PRINT "像面 F/# : ", VEC1(8) CS*lk!C
PRINT "物方N.A. : ", VEC1(9) WBJn1
PRINT "工作 F/# : ", VEC1(10)
I![/bwObG
PRINT "入瞳直径 : ", VEC1(11) &'i>d&
PRINT "入瞳位置 : ", VEC1(12) ZAeJTCCk
PRINT "出瞳直径 : ", VEC1(13) fk6=;{
PRINT "出瞳位置 : ", VEC1(14) /X0<2&v
PRINT "理想像高 : ", VEC1(15) !>!jLZ0
PRINT "理想放大率: ", VEC1(16) ;14Q@yrZ0
PRINT "角放大率 :", VEC1(17) -:Fr($^
PRINT "系统总长 : ", VEC1(18) i$}G[v<4
print "==================================================" "}%j'
[T)>RF
!////////////////////////////////////////////////////// oa5L5Zr,A
{|j-e{*
print "几何像差计算" V4CA*FEA
print "===================================================" Mh3L(z]/E
print "一. 轴上像差计算" '43U v
print Xs"d+dc
UUtSme
print "1.D光球差计算" 8'fF{C
J|o<;9dg1
OI:=>Bk
!1H处球差计算 ;0$qT$,
1|G5 W:
n=NSUR() @m:'
L7+
N!v>2"x8q
!主波长近轴理想像位置 5^l-3s?M
PARAXIAL ON Z$m&F0g
RAYTRACE 0,0,0,1 _U*1D*kLI[
R=RAYM(n)/RAYN(n) DAtAc(05)
ld=-1*RAYY(n-1)/R )[&j&AI
ld$=$STR(ld) prIJjy-F
print "主波长近轴理想像位置:", ld$ B=X_c5
8(A
k
!主波长1H光线实际像位置 (U.VCSn
PARAXIAL OFF =KnHa.%
RAYTRACE 0,0,0,1 \MmB+'f&R
r_1h=RAYM(n)/RAYN(n) u8<Fk
!
ld_1h=-1*RAYY(n-1)/r_1h eISHV.QV
ld_1h$=$STR(ld_1h) j
*N^.2
print "主波长边缘实际像位置:", ld_1h$ M3GFKWQI,`
$SniQ
!主波长0.7H光线实际像位置 i
!SN"SY
PARAXIAL OFF ^;\6ju2
RAYTRACE 0,0,0,0.7 rXe+#`m2
r_0.7h=RAYM(n)/RAYN(n) 4`r-*Lx
ld_0.7h=-1*RAYY(n-1)/r_0.7h jlUT9Zp
ld_0.7h$=$STR(ld_0.7h) abEdZ)$
print "主波长0.7H实际像位置:", ld_0.7h$ F:0 E-
z'
b+CvA(*
!主波长边缘球差δL_1h 主波长0.7视场球差 Na.e1A&?j
DLD_1H=ld_1h-ld xFp9H'j{
DLD_0.7H=ld_0.7h-ld M[R'
print "D光1H球差 D光0.7H球差" RcI0n"Gi_
Format 13.7 XFww|SG$
Print $STR(DLD_1H),$STR(DLD_0.7H) Fy_~~nI0
print x^pHP|<3`
IUh)g1u41O
print "2.F光球差计算" f-}_
!F光1H位置 z KG]7
PARAXIAL OFF KDDx[]1Q
RAYTRACE 0,0,0,1,1 ;b,
bHL
rf_1h=RAYM(n)/RAYN(n) '}P$hP_d
ldf_1h=-1*RAYY(n-1)/rf_1h )L,Nh~
ldf_1h$=$STR(ldf_1h) T=pKen/
print "F光1H像位置:",ldf_1h$ -N2m|%B
oYeFOw`
!F光0.7H位置 z}7U>y6`
PARAXIAL OFF <<1_rRL]
RAYTRACE 0,0,0,0.7071,1 "fd'~e$S#
rf_0.7h=RAYM(n)/RAYN(n) m W4tW
ldf_0.7h=-1*RAYY(n-1)/rf_0.7h GIUyW
ldf_0.7h$=$STR(ldf_0.7h) tZD^<Q7}\
print "F光0.7H像位置:",ldf_0.7h$ Z2k5qs7g
B :1r;8{j
!F光0H位置 `{S4_'
PARAXIAL ON _eaK:EW
RAYTRACE 0,0,0,1,1 8.' THLI
rf_0h=RAYM(n)/RAYN(n) yfe4}0}
ldf_0h=-1*RAYY(n-1)/rf_0h 7I {rhA
ldf_0h$=$STR(ldf_0h) @'?7au ''
print "F光0H像位置:",ldf_0h$ ')E4N+h/
Z3A"GWY
!求F光球差 1swqs7rR|
dldf_1h=ldf_1h-ld {_J1m&/
dldf_0.7h=ldf_0.7h-ld 5U JMiwP{
dldf_0h=ldf_0h-ld xa%2w]
print "F光1H球差 F光0.7H球差 F光0H球差" G\S_e7$/
Format 13.7 1f5;^T
I
Print $STR(DLDf_1H),$STR(DLDf_0.7H),$STR(dldf_0h) 4=hz4(5a
print TbhsOf!
1Q??R}
print "3.C光球差计算" jR,3-JQ
!C光1H位置 j|(bdTZY:
PARAXIAL OFF Kdd5ysTQ
RAYTRACE 0,0,0,1,nwav() >zcp(M98
rc_1h=RAYM(n)/RAYN(n) ^g N?Io
ldc_1h=-1*RAYY(n-1)/rc_1h }F)eA1
ldc_1h$=$STR(ldc_1h) )%(H'omvl
print "C光1H像位置:",ldc_1h$ k|_LF[* Z
[S T7CrwC
!C色光0.7H位置 --|L?-2k,
PARAXIAL OFF @?<1~/sfL
RAYTRACE 0,0,0,0.7071,nwav() %;tBWyq}_
rc_0.7h=RAYM(n)/RAYN(n) UL\gcZ
Zkl
ldc_0.7h=-1*RAYY(n-1)/rc_0.7h Y>'t)PK
ldc_0.7h$=$STR(ldc_0.7h) r1Cq8vD*m
print "C光0.7H像位置:",ldc_0.7h$ U^xtS g
;!/g`*?
!C光0H位置 ndB*^nT
PARAXIAL ON +K*_=gHF.
RAYTRACE 0,0,0,1,nwav() [%BWCd8Q~P
rc_0h=RAYM(n)/RAYN(n) n%:&N
ldc_0h=-1*RAYY(n-1)/rc_0h wE09%
ldc_0h$=$STR(ldf_0h) Ng<oz*>U
print "C光0H像位置:", ldc_0h$ H=7Nh6v
-Mufo.Jz1o
!求C光球差 }h_=
n>
dldc_1h=ldc_1h-ld -#"7F:N1
dldc_0.7h=ldc_0.7h-ld .ID9Xd$fky
dldc_0h=ldc_0h-ld 5_Opx=
print "C光1H球差 C光0.7H球差 C光0H球差" (e6KSRh2fF
Format 13.7 3r,^is
Print $STR(DLDc_1H),$STR(DLDc_0.7H),$STR(dldc_0h) fIg~[VN"
print YXjWk),
S.A|(?x
print "4.轴向色差计算" %W]"JwRu
dlfc_1h=ldf_1h-ldc_1h QDJ:LJz\
dlfc_0.7h=ldf_0.7h-ldc_0.7h $79-)4;z4
dlfc_0h=ldf_0h-ldc_0h _i+7O^=d6X
print "1H色差 0.7H色差 0h色差" ?;)F_aHp
Format 13.7 92S,W?(
Print $STR(DLfc_1H),$STR(DLfc_0.7H),$STR(dlfc_0h) QF`o%mI
print B< BS>(Nr>
rpO>l
E'4dI:
print"================================================" y@Q?
guB
print"二. 轴外像差计算" B(|dT66K
print "1.正弦差计算" 8ORr
H@hHEzO
!依次求LZ,h1,h01,U,sinU :#zv,U&OC
PARAXIAL ON 2
VGGSLr
RAYTRACE 0,1,0,0 (qXl=e8
LZ=-1*RAYY(n-1)/(RAYM(n-1)/RAYN(n-1)) `SSUQ#@
!print $STR(LZ) qJrMr4:F
C1KO]e >
PARAXIAL OFF @s/0 .7
RAYTRACE 0,0,0,1 AilfeHG
h1=RAYY(1) &SE+7HXw
sinu=RAYM(n-1) *<nfA}
PARAXIAL ON `OmYz{*r
RAYTRACE 0,0,0,1 =c(3EI'w
h01=RAYY(1) GcYT<pwN6
OSC1=h1*R*(ld-LZ)/(h01*sinu*(ld_1h-LZ))-1 #[{xEVf
print "1).物距在无限远:" ,$STR(osc1) C2 ] x
,HM~Zs
PARAXIAL OFF PC}m.tE
RAYTRACE 0,0,0,1 *=ymK*
sinu1=RAYM(0) &k2nt
PARAXIAL ON =q-HR+
RAYTRACE 0,0,0,1 k_<8SG+`
u1=RAYM(0) hu+% X.F4
!print $STR(u1) pe1 _E
KU
OSC2=sinu1*R*(ld-LZ)/(sinu*u1*(ld_1h-LZ))-1 oPA
[vY
print "2).物距在有限远:",$STR(osc2) X@n\~[.B
print qW6}^aa
d(-$ {
c
?nAKB5=
T>;Kq;(9
t846:Z%[
print "2.1W处轴外像差" @0>3))
+2+wNFU
PARAXIAL OFF )bGd++2
RAYTRACE 0,1,0,1 |ozlaj
ya_1w=RAYY(n) Z/ypWoV(
TANua_1w=RAYM(n-1)/RAYN(n-1) )d|hIW]7(
PARAXIAL OFF f{Dc R"
RAYTRACE 0,1,0,-1 CxOBH89(
yb_1w=RAYY(n) KVrK:W--p
TANub_1w=RAYM(n-1)/RAYN(n-1) yNb
:zoT
XT_1W=-1*(ya_1w-yb_1w)/(tanua_1w-tanub_1w) ~t~5ctJ@
print "1).子午宽光束场曲:",$STR(XT_1W) hsUP5_
hoQ?8}r:
9#;UQ.qA
PARAXIAL OFF d^w*!<8
RAYTRACE 0,1,0,0.01 |e@Bi#M[
Xya_1w=RAYY(n) Uieg4I ro
XTANua_1w=RAYM(n-1)/RAYN(n-1) j;k(AM<
PARAXIAL OFF m9Uoq[1
RAYTRACE 0,1,0,-0.01 > HL8hN'q'
Xyb_1w=RAYY(n) {:3XP<hqN
XTANub_1w=RAYM(n-1)/RAYN(n-1) ,A>i)brc
XXT_1W=-1*(Xya_1w-Xyb_1w)/(Xtanua_1w-Xtanub_1w) o\luE{H
.?
print "2).子午细光束场曲:"$STR(XXT_1W) ~"*;lT5KX
):_x
4D/mm(2d$
DLT_1w=XT_1W-XXT_1w Vo%UiVHy
print "3).1 W处子午球差:",$STR(DLT_1w) ,K'}<dm|x
Wsr #YNhx|
6L6 Lk
PARAXIAL OFF B9_0 Yq
RAYTRACE 0,1,0,0 DT=!
YP_1w=RAYY(n) e< Ee2pGX
KT_1W=ABSO(YP_1w)-0.5*(ABSO(yb_1w)+ABSO(ya_1w)) &\C{,:[
print "4).1 W处子午彗差:",$STR(KT_1w) vR?L/G^.
8<g_JW[%
k*4?fr
K6,5C0
PARAXIAL OFF NRKAEf_#w
RAYTRACE 0,1,0,0 N[}XLhbt
CE_1W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) #oYX0wvl
PARAXIAL OFF qvOBvUR}
RAYTRACE 0,1,1,0 55oLj.l^j
XS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) `.dTkL
print "5).1W宽光束弧矢彗差:",$STR(XS_1w) !qH=l-7A
v]*W*;
U[S;5xeF.j
PARAXIAL OFF ftq~AF
RAYTRACE 0,1,0.01,0 ,Z%!38gGsu
XXS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) 8I C((
print "6).1W细光束弧矢彗差:",$STR(XXS_1w) -o#0Yt}3
tazBZ'\c
n X
Qz
SDLD_1W=XS_1w-XXS_1w nWZrB s
_
print "7).1 w 弧矢球差:",$STR(SDLD_1W) U2ANu|
6x@-<{L
aG|)k,
XTS_1W=XXT_1W-XXS_1w N13 <!QQ
print "8) 1w 像散:",$STR(XTS_1W) 7k3":2:
#G#gB
%h%r6EB1F
PARAXIAL ON A|>a
Gy
RAYTRACE 0,1,0,0 kXX RMR
H_1H=RAYY(n) 1'_OM h*;
PARAXIAL OFF 33Mr9Doon
RAYTRACE 0,1,0,0,2 3F}d,aB
A
Hf_1h=RAYY(n) JsPuxu_
DYZF_1h=Hf_1h-H_1h {/7'uD\
H
print "9).F光1w畸变:",$STR(DYZF_1h) .^kTb2$X
udc9$uO
Q)a*bPz
PARAXIAL OFF #8/Z)-G
RAYTRACE 0,1,0,0,3 5o~Z>
Hc_1h=RAYY(n) Vxgc|E^J
DYZc_1h=Hc_1h-H_1h 5. l&nt'
print "10).C光1w畸变:",$STR(DYZc_1h) 0XozYyq
M(3E
b;`
% 9WWBxS
DYZFC_1h=DYZF_1h-DYZC_1h WJ9u3+
print "11).F,C光垂轴色差:",$STR(DYZFC_1h) %)aDh
}
print Hh@mIusj
alu`T
c~
HRw,D=
print "3. 0.7W轴外像差" 3]VTQl{P
&FanD
PARAXIAL OFF g*]<]%Py"
RAYTRACE 0,0.7071,0,1 )O&$-4gL'
ya_0.7w=RAYY(n) aVtwpkgZ
TANua_0.7w=RAYM(n-1)/RAYN(n-1) ZK'I$p]b
PARAXIAL OFF oL6_Ya
RAYTRACE 0,0.7071,0,-1 gVl#pVO`N
yb_0.7w=RAYY(n) A qm0|GlJ
TANub_0.7w=RAYM(n-1)/RAYN(n-1) Aio0++r-
XT_0.7W=-1*(ya_0.7w-yb_0.7w)/(tanua_0.7w-tanub_0.7w) L]tyL)
print "1).子午宽光束场曲:",$STR(XT_0.7W) uuC/F_='B
$Y4
Ao-@
Q%>,5(_V]
PARAXIAL OFF g{ a0,B/j
RAYTRACE 0,0.7071,0,0.01 )t.q[O`
Xya_0.7w=RAYY(n) >3Y&jsh<
XTANua_0.7w=RAYM(n-1)/RAYN(n-1) FQ 4rA 4
PARAXIAL OFF ~|!lC}!IKL
RAYTRACE 0,0.7071,0,-0.01 0!zWXKX
Xyb_0.7w=RAYY(n) ><DE1tG
XTANub_0.7w=RAYM(n-1)/RAYN(n-1) P~*fZ)\}F@
XXT_0.7W=-1*(Xya_0.7w-Xyb_0.7w)/(Xtanua_0.7w-Xtanub_0.7w) AUq?<Vg\
print "2).子午细光束场曲:",$STR(XXT_0.7W) w5nRgdboy!
bVrvb`0
KVntBe]I
DLT_0.7w=XT_0.7W-XXT_0.7w ~>EVI=?
print "3).0.7W处子午球差:",$STR(DLT_0.7w) >pYgF=J
a&<<X:$Hy
](ninSX1w
PARAXIAL OFF &Y&zUfA
RAYTRACE 0,0.7071,0,0
i}YnJ
YP_0.7w=RAYY(n) uJ$"2<O
KT_0.7W=ABSO(YP_0.7w)-0.5*(ABSO(yb_0.7w)+ABSO(ya_0.7w)) YJ0[BcZ
print "4).0.7W处子午彗差:",$STR(KT_0.7w) bd9c/>&
<*\J 6:^n
xphqgOc12,
St3~Y{aI|
PARAXIAL OFF .6hH}BM
RAYTRACE 0,0.7071,0,0 =sm(Z;"
CE_0.7W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) O//e0?]W
PARAXIAL OFF -Z@p
RAYTRACE 0,0.7071,1,0 prWid3}
XS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) -/</7I
print "5).0.7W宽光束弧矢彗差:",$STR(XS_0.7w) *!Dzst-J3
E5dXu5+ye
6 qq7:
PARAXIAL OFF ibq@0CR
RAYTRACE 0,0.7071,0.01,0 4>W`XH
XXS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) oMVwIdf
print "7).0.7W细光束弧矢彗差:",$STR(XXS_0.7w) l1??b
F,
"x~C
#.@=xhK/
SDLD_0.7W=XS_0.7w-XXS_0.7w j0GI[#
print "7).0.7w弧矢球差:",$STR(SDLD_0.7W) Dz{e@+>M
anvj{1
:U9R
1^}A
XTS_0.7W=XXT_0.7W-XXS_0.7w jBC9Vt;B
print "8)0.7w 像散:",$STR(XTS_0.7W) 1gE`_%?K
6~}H3rvO}
"Wm~\)t(
PARAXIAL ON 0D'Wr(U(
RAYTRACE 0,0.7071,0,0 W)#`4a^xj7
H_0.7H=RAYY(n) --9mTqx
PARAXIAL OFF H@zk8]_P
RAYTRACE 0,0.7071,0,0,2 qEAF!iB]L
Hf_0.7h=RAYY(n) #^9;<@M
DYZF_0.7h=Hf_0.7h-H_0.7h (Ka#6
print "9).F光0.7w畸变:",$STR(DYZF_1h) <%z/6I
Af|
ff#-USK^R
z)%1 i
PARAXIAL OFF 8VZ-`?p
RAYTRACE 0,0.7071,0,0,3 xYT.J 6
Hc_0.7h=RAYY(n) _a&|,ajy>
DYZc_0.7h=Hc_0.7h-H_0.7h "YL-!P
print "10).C光0.7w畸变:",$STR(DYZc_0.7h) +RkYW*|$S
qo@dFKy
o >Lk`\
DYZFC_0.7h=DYZF_0.7h-DYZC_0.7h b5DrwX{Ff
print "11).F,C光垂轴色差:",$STR(DYZFC_0.7h) <IVz mzpL
{#,FlR2
print"================================================" 5)UmA8"zVB
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