!///////////////////////////////////////////// d
z\b]H]
!作者:Drding --SITP Anm5Cvt;i
!时间:2006.12.23 02+^rqIx5
!功能:计算几何相差 D0]9
-h
!///////////////////////////////////////////// kN) pi "
]E3g8?L
!///////////////////////////////////////////// wGxLs>|
4
print "=================================================" ;s!H
print "作者:Drding@SITP" EXi+pm
print "时间:2006.12.23" M<L<mP}
print "功能:计算几何相差" Fca?'^X
print "=================================================" [&4y@
{38aaf|'/
!/////////////////////////////////////////////
*>#cs#)
z&:[.B
ynd}w
G'
!////////////////////////////////////////////// wb?hfe
print "系统参数" D|BN_ai9
print "==================================================" ZN1p>+oY!
!////////////////////////////////////////////// 8]L.E
FORMAT 20.9 <wA_2S
Y
GETSYSTEMDATA 1
4NzHzn
PRINT "孔径大小 : ", VEC1(1) lt]U?VZ
PRINT "环境数据 : ", VEC1(4) !6%mt} h
PRINT "温 度 : ", VEC1(5) LH8?0N[
PRINT "压 强 : ", VEC1(6) :({<"H)!'
PRINT "有效焦距 : ", VEC1(7) `fRy"44nR
PRINT "像面 F/# : ", VEC1(8) )}aF=%
PRINT "物方N.A. : ", VEC1(9) W
| }Hl{}
PRINT "工作 F/# : ", VEC1(10) @88 efF
PRINT "入瞳直径 : ", VEC1(11) sDC RL%0QK
PRINT "入瞳位置 : ", VEC1(12) WI9.?(5q
PRINT "出瞳直径 : ", VEC1(13) %qHT!aP
PRINT "出瞳位置 : ", VEC1(14) 5 6R,+sN
PRINT "理想像高 : ", VEC1(15) a]k&$
PRINT "理想放大率: ", VEC1(16) +!Ltn
PRINT "角放大率 :", VEC1(17) +u2Co_FJ&
PRINT "系统总长 : ", VEC1(18) LKZI@i)
print "==================================================" &|4Uo5qS=Z
t<7WM'2<y
!////////////////////////////////////////////////////// 525 >=h
ww2Qa-K
print "几何像差计算" 00p 7sZU^
print "===================================================" *X #e
print "一. 轴上像差计算" ._3NqE;
print Dfo9jYPf
Gpu?z-)
print "1.D光球差计算" YMd&+J`
$^!w`>0C
!O-+h0Z
!1H处球差计算 Y<+4>Eh
e2fct|'
n=NSUR() Zy%Z]dF
s*f.` A*)
!主波长近轴理想像位置 h~@+M5r,
PARAXIAL ON c
v
9
6F
RAYTRACE 0,0,0,1 )8SP$
R=RAYM(n)/RAYN(n) k
))*z FV
ld=-1*RAYY(n-1)/R %np#Bv-L
ld$=$STR(ld) lo: ~~l
print "主波长近轴理想像位置:", ld$ ~'MWtDe:Z8
zTB9GrU
!主波长1H光线实际像位置 8tMte!E
PARAXIAL OFF p'qH [<s
RAYTRACE 0,0,0,1 HH?*"cKF~
r_1h=RAYM(n)/RAYN(n) to 6Q90(
ld_1h=-1*RAYY(n-1)/r_1h +df?N
ld_1h$=$STR(ld_1h) A.O~'')X
print "主波长边缘实际像位置:", ld_1h$ (Y)h+}n5N
j!\0Fyr
!主波长0.7H光线实际像位置 @W8}N|jek
PARAXIAL OFF GJs[m~`8#
RAYTRACE 0,0,0,0.7 fJ2{w[ne
r_0.7h=RAYM(n)/RAYN(n) %Be[DLtE"
ld_0.7h=-1*RAYY(n-1)/r_0.7h H>f{3S-%
ld_0.7h$=$STR(ld_0.7h) fm>K4\2
print "主波长0.7H实际像位置:", ld_0.7h$ j*4S] !
l|A8AuO*?
!主波长边缘球差δL_1h 主波长0.7视场球差 ssITe.,ny
DLD_1H=ld_1h-ld }!V<"d,!
DLD_0.7H=ld_0.7h-ld 9Oyi:2A
print "D光1H球差 D光0.7H球差" i(;-n_:,`
Format 13.7 >;v0zE
Print $STR(DLD_1H),$STR(DLD_0.7H) N RSse"
print *hs<Ez.cC
2TEeP7
print "2.F光球差计算" :QV6z*#zD
!F光1H位置 -/c1qLdQ
PARAXIAL OFF /'6[*]IZP
RAYTRACE 0,0,0,1,1 \)ZX4rs{8
rf_1h=RAYM(n)/RAYN(n) O^weUpe\
ldf_1h=-1*RAYY(n-1)/rf_1h 43=-pyp
ldf_1h$=$STR(ldf_1h) dY@Tt&k8E
print "F光1H像位置:",ldf_1h$ 0DIM]PS
\BaN5+B6
!F光0.7H位置 $Wzv$4;
PARAXIAL OFF Y0O<]2yVx
RAYTRACE 0,0,0,0.7071,1 :TYzzl43
rf_0.7h=RAYM(n)/RAYN(n) zl
0^EltiU
ldf_0.7h=-1*RAYY(n-1)/rf_0.7h up3<=u{>
ldf_0.7h$=$STR(ldf_0.7h)
MVP)rugU
print "F光0.7H像位置:",ldf_0.7h$ \Ntdl:fSw
YCBML!L
!F光0H位置 `AHNk7 t=
PARAXIAL ON :YXQ9/iRr
RAYTRACE 0,0,0,1,1 y'|W['
rf_0h=RAYM(n)/RAYN(n) p]|ME
ldf_0h=-1*RAYY(n-1)/rf_0h '3UIriY6
ldf_0h$=$STR(ldf_0h) gc7:Rb^E5t
print "F光0H像位置:",ldf_0h$ R
4QwWSBJ
soQzIx
!求F光球差 zGd*Q5l
dldf_1h=ldf_1h-ld -sH.yAvC6
dldf_0.7h=ldf_0.7h-ld 0*IY%=i
dldf_0h=ldf_0h-ld V'f5-E0
print "F光1H球差 F光0.7H球差 F光0H球差" _<F@(M5
Format 13.7 W<N QUf[=
Print $STR(DLDf_1H),$STR(DLDf_0.7H),$STR(dldf_0h) pD_eo6xX
print r]EZ)qp^@
1\J1yOL
print "3.C光球差计算" `)!2E6 =
!C光1H位置 r]//Q6|S
PARAXIAL OFF C+]q
RAYTRACE 0,0,0,1,nwav() 7U
)qC}(
rc_1h=RAYM(n)/RAYN(n) LOUKURe E
ldc_1h=-1*RAYY(n-1)/rc_1h k&_u\D"^"%
ldc_1h$=$STR(ldc_1h) FlA\Ad;v
print "C光1H像位置:",ldc_1h$ }V#9tWW
($ B]9*
!C色光0.7H位置 6dR-HhF
PARAXIAL OFF Nw$[a$^n
RAYTRACE 0,0,0,0.7071,nwav() OK2/k_jXN'
rc_0.7h=RAYM(n)/RAYN(n) KYmWfM3^
ldc_0.7h=-1*RAYY(n-1)/rc_0.7h C`~4q<W'
ldc_0.7h$=$STR(ldc_0.7h)
;/^]|
print "C光0.7H像位置:",ldc_0.7h$ 3G/ mB
b}*@=X=4o
!C光0H位置 Y=Ar3O*F
PARAXIAL ON yZ~eLWz
RAYTRACE 0,0,0,1,nwav() 5nM9!A\D
rc_0h=RAYM(n)/RAYN(n) CbH T #
ldc_0h=-1*RAYY(n-1)/rc_0h %=mwOoMk0L
ldc_0h$=$STR(ldf_0h) ic{.#R.BY
print "C光0H像位置:", ldc_0h$ ]^6y NtLK
si!9Gz;
!求C光球差 JU=\]E@8c
dldc_1h=ldc_1h-ld zTBi{KrZ
dldc_0.7h=ldc_0.7h-ld {Fp`l\,
dldc_0h=ldc_0h-ld `\4JwiPo
print "C光1H球差 C光0.7H球差 C光0H球差" ]T3BDgu%&
Format 13.7 )3`
Print $STR(DLDc_1H),$STR(DLDc_0.7H),$STR(dldc_0h) seqF84Xd<
print kq}eUY]
vLK\X$4
print "4.轴向色差计算" zr; Y1Xt4
dlfc_1h=ldf_1h-ldc_1h 71<PEawL
dlfc_0.7h=ldf_0.7h-ldc_0.7h o!l3.5m2d
dlfc_0h=ldf_0h-ldc_0h WVT5VJ7*
print "1H色差 0.7H色差 0h色差" pJ$N@ID
Format 13.7
G_, t\
Print $STR(DLfc_1H),$STR(DLfc_0.7H),$STR(dlfc_0h) w{zJE]7
print Z/6'kE{l
^2;(2s
1nlE3Y?AV
print"================================================" ({H+ y
9n
print"二. 轴外像差计算" U ygw*+
print "1.正弦差计算" n"<GJ.{
y%IG:kZ,
!依次求LZ,h1,h01,U,sinU 9*TS90>a
PARAXIAL ON M8",t{7
RAYTRACE 0,1,0,0 ^;CR0.4
LZ=-1*RAYY(n-1)/(RAYM(n-1)/RAYN(n-1)) !8" $d_=h
!print $STR(LZ) X@h^T>["
il>x!)?o
PARAXIAL OFF !AD0-fZ
RAYTRACE 0,0,0,1 Ky'3z"
h1=RAYY(1) (9YYv+GGd*
sinu=RAYM(n-1) '[=yfh
PARAXIAL ON pT
ocqJ22
RAYTRACE 0,0,0,1 VNxpOoV=S
h01=RAYY(1) Lr24bv\
OSC1=h1*R*(ld-LZ)/(h01*sinu*(ld_1h-LZ))-1 %+7T9>+
print "1).物距在无限远:" ,$STR(osc1) LE0J ;|1
.XLV:6
PARAXIAL OFF cpF1Xp vT
RAYTRACE 0,0,0,1 p'%: M
sinu1=RAYM(0) J^g,jBk
PARAXIAL ON .^W\OJ`G
RAYTRACE 0,0,0,1 ;1R?9JN"
u1=RAYM(0) hk5E=t~&
!print $STR(u1) .n)!ZN
OSC2=sinu1*R*(ld-LZ)/(sinu*u1*(ld_1h-LZ))-1 DQ n`@
print "2).物距在有限远:",$STR(osc2) rKy-u
print b5n]Gp
68J 9T^84
,>QMyI
hv
)4'x7Qg/
M8#*zCp{5
print "2.1W处轴外像差" bQ^DX `o6P
p29yaM
PARAXIAL OFF Hn#GS9d_?
RAYTRACE 0,1,0,1 cz7CrK~5
ya_1w=RAYY(n) Uaus>Frx.T
TANua_1w=RAYM(n-1)/RAYN(n-1) dK J@{d
PARAXIAL OFF ]8xc?*i8
RAYTRACE 0,1,0,-1 ~<2 IIR$H
yb_1w=RAYY(n) k"q!|+&Fs
TANub_1w=RAYM(n-1)/RAYN(n-1) 8z."X$
XT_1W=-1*(ya_1w-yb_1w)/(tanua_1w-tanub_1w) !y
qa?\v9
print "1).子午宽光束场曲:",$STR(XT_1W) j]!7B HC
9k=U0]!ch
FUyB"-<
PARAXIAL OFF (<bm4MPf
RAYTRACE 0,1,0,0.01 |2
YubAIZ(
Xya_1w=RAYY(n) F}6DB*
XTANua_1w=RAYM(n-1)/RAYN(n-1) #hD}S~
PARAXIAL OFF {uaZ<4N.
RAYTRACE 0,1,0,-0.01 0|fb< "
Xyb_1w=RAYY(n) <fC@KY>#
XTANub_1w=RAYM(n-1)/RAYN(n-1) Ge^zX$.'
XXT_1W=-1*(Xya_1w-Xyb_1w)/(Xtanua_1w-Xtanub_1w) VxkCK02k
print "2).子午细光束场曲:"$STR(XXT_1W) (B_7\}v|_
QQg8+{>
E ;BPN
DLT_1w=XT_1W-XXT_1w %Ycx C0S[
print "3).1 W处子午球差:",$STR(DLT_1w) 3d*&':
Ow
cVPu_
y*VQ]aJ
PARAXIAL OFF DU5:+"
u3
RAYTRACE 0,1,0,0 r/NSD$-n
YP_1w=RAYY(n) KGV.S
KT_1W=ABSO(YP_1w)-0.5*(ABSO(yb_1w)+ABSO(ya_1w)) m,W) N9 M
print "4).1 W处子午彗差:",$STR(KT_1w) F_A%8)N
GBH_r0
Vs#"SpH{'
7|&e[@B
PARAXIAL OFF Y7<zm}=(/
RAYTRACE 0,1,0,0 up\oWR:
CE_1W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) !_CX2|
PARAXIAL OFF CS/Mpmsp
RAYTRACE 0,1,1,0 doP$N3Zm
XS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) ~7dM!g{W
print "5).1W宽光束弧矢彗差:",$STR(XS_1w) ?QCmSK=L
gM4P j[W
[##`Um
PARAXIAL OFF ,HFs.9#&B
RAYTRACE 0,1,0.01,0 Y3#Nux%
XXS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) z%(Fo2)^
print "6).1W细光束弧矢彗差:",$STR(XXS_1w) v,/[&ASz
a}:A, t<6
ifXW
SDLD_1W=XS_1w-XXS_1w 0U$:>bQ
print "7).1 w 弧矢球差:",$STR(SDLD_1W) `I5O4|K)
(GCG/8s
_fcS>/<a
XTS_1W=XXT_1W-XXS_1w ?b||Cr
print "8) 1w 像散:",$STR(XTS_1W) rRB~=J"
~9Zh,p;
QX[Djz0H8
PARAXIAL ON ^_v[QV
RAYTRACE 0,1,0,0 q[7CPE0n
H_1H=RAYY(n) n;wwMMBM
PARAXIAL OFF +' %@!
RAYTRACE 0,1,0,0,2 `E@kFJ(<On
Hf_1h=RAYY(n) Z&_y0W=t
DYZF_1h=Hf_1h-H_1h "`pNH'
print "9).F光1w畸变:",$STR(DYZF_1h) aF!E x
.*BA 1sjE
M\Se_
PARAXIAL OFF ;HDZ+B
RAYTRACE 0,1,0,0,3 3gAR4
Hc_1h=RAYY(n) $9K(F~/
DYZc_1h=Hc_1h-H_1h |^R*4;Phe
print "10).C光1w畸变:",$STR(DYZc_1h) \K;op2
axmsrjW#
-."kq.m*
DYZFC_1h=DYZF_1h-DYZC_1h zDD4m`2
print "11).F,C光垂轴色差:",$STR(DYZFC_1h) $B\ H
print tJNIr5o
YutQ ]zYA.
H$!+A
print "3. 0.7W轴外像差" CE uWw:)
.}q]`<]ze
PARAXIAL OFF fAGctRGH
RAYTRACE 0,0.7071,0,1 7h%4]
ya_0.7w=RAYY(n) K UKACUL
TANua_0.7w=RAYM(n-1)/RAYN(n-1) OOnX`
PARAXIAL OFF #uSK#>H_!
RAYTRACE 0,0.7071,0,-1 O gmSQ
yb_0.7w=RAYY(n) >H>gH2qp
TANub_0.7w=RAYM(n-1)/RAYN(n-1) ks*Y9D*=
XT_0.7W=-1*(ya_0.7w-yb_0.7w)/(tanua_0.7w-tanub_0.7w) jNA1O68N
print "1).子午宽光束场曲:",$STR(XT_0.7W) >{C\H.N
?7
\\e ;j}
Q$~n/
PARAXIAL OFF U&UKUACn"
RAYTRACE 0,0.7071,0,0.01
B/G-Yh$E
Xya_0.7w=RAYY(n) MoD?2J
XTANua_0.7w=RAYM(n-1)/RAYN(n-1) T>A{qu
PARAXIAL OFF }g|nz8
RAYTRACE 0,0.7071,0,-0.01 E V2 )
Xyb_0.7w=RAYY(n) 2?W7I/F
XTANub_0.7w=RAYM(n-1)/RAYN(n-1) |Y},V_@d
XXT_0.7W=-1*(Xya_0.7w-Xyb_0.7w)/(Xtanua_0.7w-Xtanub_0.7w) ySe$4deJ
print "2).子午细光束场曲:",$STR(XXT_0.7W) o:"anHs
j(eFoZz,
j?6X1cM q
DLT_0.7w=XT_0.7W-XXT_0.7w $d/&k`
print "3).0.7W处子午球差:",$STR(DLT_0.7w) -Fxmsi
Dzl;-]S
~>Kq<]3~
PARAXIAL OFF (u hd "
RAYTRACE 0,0.7071,0,0 6?qDdVR~]
YP_0.7w=RAYY(n) ]E3<UR
KT_0.7W=ABSO(YP_0.7w)-0.5*(ABSO(yb_0.7w)+ABSO(ya_0.7w)) Ow:1?Z{4
print "4).0.7W处子午彗差:",$STR(KT_0.7w) BQ/PGY>
,lt8O.h-l
t{dSX?<nt
8 TiG3
PARAXIAL OFF #aar9
RAYTRACE 0,0.7071,0,0 I7n3xN&4"
CE_0.7W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) HpVjee
PARAXIAL OFF 9MY7a=5E~
RAYTRACE 0,0.7071,1,0 LOvHkk@+
XS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) kL>d"w
print "5).0.7W宽光束弧矢彗差:",$STR(XS_0.7w) ?kTWpXx"=
/KCPpERk{
J~#$J&iKh
PARAXIAL OFF +9XQ[57
RAYTRACE 0,0.7071,0.01,0 WGu%7e]
XXS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) kW@,$_cK
print "7).0.7W细光束弧矢彗差:",$STR(XXS_0.7w) `.%JjsD<
_Ov;4nt!
yClx` S(
SDLD_0.7W=XS_0.7w-XXS_0.7w $w#r"= )
print "7).0.7w弧矢球差:",$STR(SDLD_0.7W) w Q+8\ s=
{Qv>q$Q
Km#pX1]>e
XTS_0.7W=XXT_0.7W-XXS_0.7w $t~@xCi]S
print "8)0.7w 像散:",$STR(XTS_0.7W) | ?yo 3
Rp9fO?ZjHt
V\]" }V)"
PARAXIAL ON Ge+0-I6Ju
RAYTRACE 0,0.7071,0,0 "LhvzM-<8
H_0.7H=RAYY(n) @n&<B`/
PARAXIAL OFF $wB^R(f@
RAYTRACE 0,0.7071,0,0,2 (X[CsaXt
Hf_0.7h=RAYY(n) 5O/i3m26
DYZF_0.7h=Hf_0.7h-H_0.7h S6d`ioi-
print "9).F光0.7w畸变:",$STR(DYZF_1h) \x{;U#B[3>
)B#
,
errH>D~
PARAXIAL OFF #R0A= !
RAYTRACE 0,0.7071,0,0,3 a:TvWzX,
Hc_0.7h=RAYY(n) :1ecx$
DYZc_0.7h=Hc_0.7h-H_0.7h uX/$CM
print "10).C光0.7w畸变:",$STR(DYZc_0.7h) cO2& VC
AK!hK>u`
oR1^/e
DYZFC_0.7h=DYZF_0.7h-DYZC_0.7h x%+{VStA
print "11).F,C光垂轴色差:",$STR(DYZFC_0.7h) epHJ@ W@#
j@gMbiu
print"================================================" "syh=BC
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