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风火山林 2017-04-22 12:33

答疑：再论镜头成像质量标准

下载学习下，多谢高老师
隼翔fishfly 2017-05-22 00:30
感谢高老师的分享
tonlia 2017-05-22 08:03
再论镜头成像质量标准
zhoutao 2017-06-04 17:44
都是牛人，
sniper_2008 2017-06-09 12:02
谢谢高老师！
有李有光 2017-07-06 16:04
感谢高老师！
boffin 2017-07-18 14:40
支持了，好东西 ，谢谢高老师~~
18814126426 2017-08-12 15:09
谢谢高老师~~
yhjl221 2017-08-14 15:11
拜读，感谢分享
spyspy27 2017-09-30 16:00
谢谢高老师~~
sswing 2017-10-09 09:12
高老师，辛苦了
上帝 2017-10-09 15:18
再论镜头成像质量标准
newforce 2017-10-21 16:27
谢谢~~~~~~~~~~~
随缘 2017-10-25 21:53
看一下
wugfon 2017-11-04 16:17
这么好
xufg 2017-11-08 09:41
学习中
azhen8233 2017-11-18 17:39
!///////////////////////////////////////////// \b_-mnN"  
!作者:Drding --SITP FSW3'  
!时间:2006.12.23 ,X9hl J  
!功能:计算几何相差 07$/]eO%C  
!///////////////////////////////////////////// R7E]*:0}  
g)=V#Bglv  
!///////////////////////////////////////////// lEO?kn.:z  
print "=================================================" r\A@&5#q  
print "作者:Drding@SITP" C $]5l; `  
print "时间:2006.12.23" .K $p`WQ{  
print "功能:计算几何相差" Kwy1SyU  
print "=================================================" YYTO,4  
K%Usjezv&  
!///////////////////////////////////////////// httls>:xB|  
z{Hz;m:*_  
r:fwrC  
!////////////////////////////////////////////// Nb gp_:{  
print "系统参数" Q;XXgX#l  
print "==================================================" S 3{Dn  
!////////////////////////////////////////////// y,'FTP9?  
FORMAT 20.9  )v${&H  
GETSYSTEMDATA 1 =ied}a :[  
PRINT "孔径大小 : ", VEC1(1) Sp<hai  
PRINT "环境数据 : ", VEC1(4) yQu vW$  
PRINT "温    度 : ", VEC1(5) +V2C}NQ5R  
PRINT "压    强 : ", VEC1(6) ,3G$`  
PRINT "有效焦距 : ", VEC1(7) i0ILb/LS  
PRINT "像面 F/# : ", VEC1(8) PfVEv *  
PRINT "物方N.A. : ", VEC1(9) Hm.X}HO0L  
PRINT "工作 F/# : ", VEC1(10) =L:[cIRrT;  
PRINT "入瞳直径 : ", VEC1(11) *Zc9yZl2  
PRINT "入瞳位置 : ", VEC1(12) QH& %mr.S  
PRINT "出瞳直径 : ", VEC1(13) Q<z)q<e  
PRINT "出瞳位置 : ", VEC1(14) 48lzOG  
PRINT "理想像高 : ", VEC1(15) \z2vV +f  
PRINT "理想放大率: ", VEC1(16) ?+3R^%`V  
PRINT "角放大率 :", VEC1(17) 929#Q#TT  
PRINT "系统总长 : ", VEC1(18) Zk wJ.SuU  
print "==================================================" 91BY]N  
S|l&fb n  
!////////////////////////////////////////////////////// x*:n4FZ7b  
].LJt['%8  
print "几何像差计算" G"}qV%"6"  
print "===================================================" G=vN;e_$_b  
print "一.  轴上像差计算" wG_4$kyj  
print OlIT|bzkb  
6(:)otz  
print "1.D光球差计算" }%_qx|(P|t  
H( MB5  
fwRGT|":B  
!1H处球差计算 b21}49bHN  
uRP Ff77  
n=NSUR() OdO{xG G@  
Lt>?y& CcQ  
!主波长近轴理想像位置 ggMUdlU  
PARAXIAL ON  }K?F7cD  
RAYTRACE 0,0,0,1 wtlB  
R=RAYM(n)/RAYN(n) Xe)Pg)J1  
ld=-1*RAYY(n-1)/R pH^ z  
ld$=$STR(ld) {>S4 #^@}  
print "主波长近轴理想像位置:", ld$ #U\$@4D  
nZe\5`  
!主波长1H光线实际像位置 $$42pb.  
PARAXIAL OFF VZ;@S3TS  
RAYTRACE 0,0,0,1 cnbo +U  
r_1h=RAYM(n)/RAYN(n) JL@F~U9  
ld_1h=-1*RAYY(n-1)/r_1h V!mWn|lf  
ld_1h$=$STR(ld_1h) Ec+22X  
print "主波长边缘实际像位置:", ld_1h$ ~'(9?81d  
$\+"qs)  
!主波长0.7H光线实际像位置 .hxin [Y  
PARAXIAL OFF n>n"{!  
RAYTRACE 0,0,0,0.7 fTTm$,f5N  
r_0.7h=RAYM(n)/RAYN(n) !TGr.R  
ld_0.7h=-1*RAYY(n-1)/r_0.7h L+Eu d  
ld_0.7h$=$STR(ld_0.7h) nz>K{(  
print "主波长0.7H实际像位置:", ld_0.7h$ (yfXMp,x  
Vfb<o"BQk  
!主波长边缘球差δL_1h    主波长0.7视场球差 +9TV:T  
DLD_1H=ld_1h-ld v< Ty|(gd  
DLD_0.7H=ld_0.7h-ld #iiwD|  
print "D光1H球差       D光0.7H球差" Rb?~ Rs\  
Format 13.7 R!9qQn?  
Print $STR(DLD_1H),$STR(DLD_0.7H) h5 j<u  
print UB a-  
$-Cy  
print "2.F光球差计算" _n7%df  
!F光1H位置 rj}(muM,R  
PARAXIAL OFF 6`1k ^  
RAYTRACE 0,0,0,1,1 WBa /IM   
rf_1h=RAYM(n)/RAYN(n) @Zj& `/  
ldf_1h=-1*RAYY(n-1)/rf_1h KLW&bJ$|j  
ldf_1h$=$STR(ldf_1h) =ydpU<aS  
print "F光1H像位置:",ldf_1h$ &u("|O)w$  
!F-sA: xq  
!F光0.7H位置 _O LI%o  
PARAXIAL OFF JfSdUWxT  
RAYTRACE 0,0,0,0.7071,1 z1#oW f{*  
rf_0.7h=RAYM(n)/RAYN(n) L -YNz0A  
ldf_0.7h=-1*RAYY(n-1)/rf_0.7h ve6x/ PD  
ldf_0.7h$=$STR(ldf_0.7h) E3bwyK!s  
print "F光0.7H像位置:",ldf_0.7h$ ]uAS+shQ&  
<;aJ#qT  
!F光0H位置 x+K gc[r  
PARAXIAL ON 7pz\ScSe  
RAYTRACE 0,0,0,1,1 O hi D  
rf_0h=RAYM(n)/RAYN(n) N70zjy4?fL  
ldf_0h=-1*RAYY(n-1)/rf_0h y>)MAzz~\  
ldf_0h$=$STR(ldf_0h) Qd?CTYNsv  
print "F光0H像位置:",ldf_0h$ u|T%Xy=LU  
V +.Q0$~F5  
!求F光球差 ;sCU [4  
dldf_1h=ldf_1h-ld sLZ>v  
dldf_0.7h=ldf_0.7h-ld D@:"f?K>  
dldf_0h=ldf_0h-ld G8noQ_-  
print "F光1H球差     F光0.7H球差     F光0H球差" l!/!?^8|f  
Format 13.7 S{- f $Q*  
Print $STR(DLDf_1H),$STR(DLDf_0.7H),$STR(dldf_0h) .8:+MW/  
print d[S#Duz<&  
'd+:D'  
print "3.C光球差计算" lYP~3wp99  
!C光1H位置 g1ytT%]  
PARAXIAL OFF vcwK6G  
RAYTRACE 0,0,0,1,nwav() Qne0kB5m  
rc_1h=RAYM(n)/RAYN(n) JA< :K0  
ldc_1h=-1*RAYY(n-1)/rc_1h gd_ ^  
ldc_1h$=$STR(ldc_1h) J$rJd9t  
print "C光1H像位置:",ldc_1h$ o_(0  
V8tghw  
!C色光0.7H位置 ?d~]Wd!z  
PARAXIAL OFF IqNpLh|[  
RAYTRACE 0,0,0,0.7071,nwav() P,U$ %C!  
rc_0.7h=RAYM(n)/RAYN(n) Ww=O=c5uOu  
ldc_0.7h=-1*RAYY(n-1)/rc_0.7h l 1|~  
ldc_0.7h$=$STR(ldc_0.7h) #cO+<1  
print "C光0.7H像位置:",ldc_0.7h$ /z#F,NB  
E0<)oQ0Xa>  
!C光0H位置 `\ R{5TU  
PARAXIAL ON l=xt;c!  
RAYTRACE 0,0,0,1,nwav() *<xrp*O  
rc_0h=RAYM(n)/RAYN(n) _0.pvQ  
ldc_0h=-1*RAYY(n-1)/rc_0h O2% `2h  
ldc_0h$=$STR(ldf_0h) |/*pT1(&  
print "C光0H像位置:", ldc_0h$ Tt%}4{"  
-p]>Be+^x  
!求C光球差 %<AS?Ry  
dldc_1h=ldc_1h-ld |Q5+l.%  
dldc_0.7h=ldc_0.7h-ld r ^ Y~mq  
dldc_0h=ldc_0h-ld wA631kr  
print "C光1H球差      C光0.7H球差    C光0H球差" NocFvF7\  
Format 13.7 @C=M UT-!  
Print $STR(DLDc_1H),$STR(DLDc_0.7H),$STR(dldc_0h) 3}j1RYtz  
print 7 v~ro  
vf N#NY6  
print "4.轴向色差计算" `R0Y+#$8h  
dlfc_1h=ldf_1h-ldc_1h 6"+8M 3M l  
dlfc_0.7h=ldf_0.7h-ldc_0.7h M/} aq  
dlfc_0h=ldf_0h-ldc_0h gApz:K[l  
print "1H色差          0.7H色差        0h色差" `36N n+A  
Format 13.7 6g~+( ({lQ  
Print $STR(DLfc_1H),$STR(DLfc_0.7H),$STR(dlfc_0h) ;iQp7aW{$  
print '#<> "|  
;y OD  
y1#O%=g  
print"================================================" pC^2Rzf  
print"二. 轴外像差计算" F"[3c6yF  
print "1.正弦差计算" as#J qE  
p-Pz=Cx-  
!依次求LZ,h1,h01,U,sinU  NpR6  
PARAXIAL ON ,Bf(r  
RAYTRACE 0,1,0,0 E(;i>   
LZ=-1*RAYY(n-1)/(RAYM(n-1)/RAYN(n-1)) L+t[&1cW  
!print $STR(LZ) wV:C<Mg7q  
np=kTJ  
PARAXIAL OFF `|?]CkP  
RAYTRACE 0,0,0,1 YZ**;"<G  
h1=RAYY(1) (Q_2ODKo  
sinu=RAYM(n-1) )2V@p~k?  
PARAXIAL ON G0/>8_Q>Nr  
RAYTRACE 0,0,0,1 :Y^I]`lR"  
h01=RAYY(1) v?)SA];  
OSC1=h1*R*(ld-LZ)/(h01*sinu*(ld_1h-LZ))-1 JGgxAd{L  
print "1).物距在无限远:" ,$STR(osc1) :<%vE!$  
K:_($X]  
PARAXIAL OFF 6c &Y  
RAYTRACE 0,0,0,1 h)@InYwu7  
sinu1=RAYM(0) bE4HDq34  
PARAXIAL ON >0T Za  
RAYTRACE 0,0,0,1  D%gGRA  
u1=RAYM(0) ]Uh 1l.O  
!print $STR(u1) f'_M0x  
OSC2=sinu1*R*(ld-LZ)/(sinu*u1*(ld_1h-LZ))-1 >)3VbO  
print "2).物距在有限远:",$STR(osc2) + Kk@Q  
print H;y}-=J+  
Ia7D F'  
RHI&j~  
Q1T@oxV  
#KE;=$(S  
print "2.1W处轴外像差" 7xT[<?,  
?(D}5`Nfu  
PARAXIAL OFF 'Sa!5h  
RAYTRACE 0,1,0,1 j 3P$@<  
ya_1w=RAYY(n) Vhph`[dC{  
TANua_1w=RAYM(n-1)/RAYN(n-1) ~!] m6/  
PARAXIAL OFF l#xw.2bo  
RAYTRACE 0,1,0,-1 q~O>a0f0  
yb_1w=RAYY(n) eEP( ).  
TANub_1w=RAYM(n-1)/RAYN(n-1) s#P:6]Ar  
XT_1W=-1*(ya_1w-yb_1w)/(tanua_1w-tanub_1w) 8t[t{"  
print "1).子午宽光束场曲:",$STR(XT_1W) Noz&noq  
9|3o<  
VYigxhP7  
PARAXIAL OFF x8/us  
RAYTRACE 0,1,0,0.01 >qpqQ; bm  
Xya_1w=RAYY(n) ^*>n4U  
XTANua_1w=RAYM(n-1)/RAYN(n-1) ANb"oX c  
PARAXIAL OFF j)";:v  
RAYTRACE 0,1,0,-0.01 n1 v,#GE  
Xyb_1w=RAYY(n) afUTAP@  
XTANub_1w=RAYM(n-1)/RAYN(n-1) 2LK]Q/WG,+  
XXT_1W=-1*(Xya_1w-Xyb_1w)/(Xtanua_1w-Xtanub_1w) 1Z 6SI>p  
print "2).子午细光束场曲:"$STR(XXT_1W) [%~^kq=|  
H+`*Y<F@  
u`6/I#q`  
DLT_1w=XT_1W-XXT_1w xYwkFB$$*  
print "3).1 W处子午球差:",$STR(DLT_1w) ?gG,t4D  
MA6P"?  
KZ  )Ys  
PARAXIAL OFF n$W"=Z;`  
RAYTRACE 0,1,0,0 ~p.%.b;~t  
YP_1w=RAYY(n) JY@X2'>v/  
KT_1W=ABSO(YP_1w)-0.5*(ABSO(yb_1w)+ABSO(ya_1w)) BKZ v9  
print "4).1 W处子午彗差:",$STR(KT_1w) vgo{]:Aj{  
q^]tyU!w  
BSDk9Oc  
5~[N/Gl  
PARAXIAL OFF B{PLIisc  
RAYTRACE 0,1,0,0 _:%U_U  
CE_1W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) Qi:j)uDW  
PARAXIAL OFF l5HWZs^  
RAYTRACE 0,1,1,0 @/(@/*+"  
XS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) {MxnIg7'  
print "5).1W宽光束弧矢彗差:",$STR(XS_1w) !.X _/$c  
1J'pB;.]s  
n^Vxi;F  
PARAXIAL OFF "Z~`e]>  
RAYTRACE 0,1,0.01,0 a2X h>{  
XXS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) n1?}Xq|  
print "6).1W细光束弧矢彗差:",$STR(XXS_1w) Z(UD9wY5m  
A$<>JVv  
lR}%)3_k  
SDLD_1W=XS_1w-XXS_1w &-4 ?!  
print "7).1 w   弧矢球差:",$STR(SDLD_1W) |z+9km7,  
Y%h}U<y  
XNlhu^jh  
XTS_1W=XXT_1W-XXS_1w N5KEa]k1nw  
print "8) 1w     像散:",$STR(XTS_1W) 9 `INC~h  
y;:]F|%<  
B@-"1m~la?  
PARAXIAL ON J 8q  
RAYTRACE 0,1,0,0 piuKV U  
H_1H=RAYY(n) IXJ6PpQLv  
PARAXIAL OFF ZOn_dYjC  
RAYTRACE 0,1,0,0,2 97S? ;T  
Hf_1h=RAYY(n) r w\D>} \  
DYZF_1h=Hf_1h-H_1h ngLJ@TP-  
print "9).F光1w畸变:",$STR(DYZF_1h) 4Cd#sQ  
j8c6[ih  
YLmjEs%  
PARAXIAL OFF Uz $ @(C  
RAYTRACE 0,1,0,0,3 f@x_#ov  
Hc_1h=RAYY(n) esteFLm`6  
DYZc_1h=Hc_1h-H_1h O4N-_Kfp/  
print "10).C光1w畸变:",$STR(DYZc_1h) 0[i}rC9&  
6WO7+M;z  
ig$jKou F  
DYZFC_1h=DYZF_1h-DYZC_1h obYn&\6  
print "11).F,C光垂轴色差:",$STR(DYZFC_1h) A!4VjE>  
print ,{+6$h3  
D2)i3vFB  
{NV:|M!  
print "3. 0.7W轴外像差" 9#fp_G;=  
@`Wt4<  
PARAXIAL OFF 9M]^l,  
RAYTRACE 0,0.7071,0,1 Ph Ttx(!  
ya_0.7w=RAYY(n) Oa1'oYIHg  
TANua_0.7w=RAYM(n-1)/RAYN(n-1) \kyM}5G(<0  
PARAXIAL OFF jiq2x\\!  
RAYTRACE 0,0.7071,0,-1 NhCAv +  
yb_0.7w=RAYY(n) +0dT^Jkqg  
TANub_0.7w=RAYM(n-1)/RAYN(n-1) :Dj#VN  
XT_0.7W=-1*(ya_0.7w-yb_0.7w)/(tanua_0.7w-tanub_0.7w) 7dHIW!OA  
print "1).子午宽光束场曲:",$STR(XT_0.7W) Hh@2m\HA  
1I b_Kmb-  
Uh%6LPg^  
PARAXIAL OFF 2md.S$V$,  
RAYTRACE 0,0.7071,0,0.01 =R2l3-HA=  
Xya_0.7w=RAYY(n) F:,#?  
XTANua_0.7w=RAYM(n-1)/RAYN(n-1) Tw UsVM(~  
PARAXIAL OFF kJ__:rS(T_  
RAYTRACE 0,0.7071,0,-0.01 dxntGH< O  
Xyb_0.7w=RAYY(n) !%V*UR9  
XTANub_0.7w=RAYM(n-1)/RAYN(n-1) 6: GN(R$0  
XXT_0.7W=-1*(Xya_0.7w-Xyb_0.7w)/(Xtanua_0.7w-Xtanub_0.7w) !")WZq^`  
print "2).子午细光束场曲:",$STR(XXT_0.7W) DUhT>,~]  
A'`P2Am  
_<3r'Y,  
DLT_0.7w=XT_0.7W-XXT_0.7w z 7@ 'CJ  
print "3).0.7W处子午球差:",$STR(DLT_0.7w) j<@fT ewZ  
CZ2iJy  
3@'lIV ?,q  
PARAXIAL OFF 7~D`b1||  
RAYTRACE 0,0.7071,0,0 Z>&K&ttJ  
YP_0.7w=RAYY(n) 4]]b1^vVj  
KT_0.7W=ABSO(YP_0.7w)-0.5*(ABSO(yb_0.7w)+ABSO(ya_0.7w)) &<@%{h@=  
print  "4).0.7W处子午彗差:",$STR(KT_0.7w) 9j2\y=<&  
Q~b_dx{m  
gLV^Z6eE  
YMK>+y[+4  
PARAXIAL OFF 38"cbHE3  
RAYTRACE 0,0.7071,0,0 c<>y!^g  
CE_0.7W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) "!^c  
PARAXIAL OFF [m %W:Ez  
RAYTRACE 0,0.7071,1,0 (]}XLMi,|!  
XS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) }.OxJ=M  
print "5).0.7W宽光束弧矢彗差:",$STR(XS_0.7w) -C=]n<ak  
ZRUh/<\[  
D*qzNT@`LR  
PARAXIAL OFF 8>m1UONr  
RAYTRACE 0,0.7071,0.01,0 N:d D*[QZ  
XXS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) EL"4E',  
print "7).0.7W细光束弧矢彗差:",$STR(XXS_0.7w) 1aVgwAI  
s 8Jj6V  
unpfA#&!"  
SDLD_0.7W=XS_0.7w-XXS_0.7w [1mIdwS  
print "7).0.7w弧矢球差:",$STR(SDLD_0.7W) <jg8y'm@0  
Up'."w_zE  
coSTZ&0  
XTS_0.7W=XXT_0.7W-XXS_0.7w FRc  |D  
print "8)0.7w     像散:",$STR(XTS_0.7W) I>\}}!  
>d'EInSF  
UJ O]sD`i  
PARAXIAL ON 2}597Hb   
RAYTRACE 0,0.7071,0,0 T4l-sJ'|  
H_0.7H=RAYY(n) 3b,=  
PARAXIAL OFF O.dux5lfBd  
RAYTRACE 0,0.7071,0,0,2 p FXd4*  
Hf_0.7h=RAYY(n) NavOSlC+h  
DYZF_0.7h=Hf_0.7h-H_0.7h $+iu\MuX  
print "9).F光0.7w畸变:",$STR(DYZF_1h) GCZu<,  
.HQVj'g  
.&Y,D-h}7|  
PARAXIAL OFF m)(SG  
RAYTRACE 0,0.7071,0,0,3 K90D1sD  
Hc_0.7h=RAYY(n) 1k*n1t):  
DYZc_0.7h=Hc_0.7h-H_0.7h </8be=e7p  
print "10).C光0.7w畸变:",$STR(DYZc_0.7h) 5f/@: ~  
EUJ1RhajF  
)`e^F9L  
DYZFC_0.7h=DYZF_0.7h-DYZC_0.7h $>nkGb%Kp  
print "11).F,C光垂轴色差:",$STR(DYZFC_0.7h) {6-;P#Q0_  
@"jmI&hYn  
print"================================================" Z#srQD3].(  
0c%@e2(N  
](]*]a4ss  
;jp6 }zfI  
ScM} m  
Ym3 "  
e?_c[`sg  
+#^sy>  
|TC3*Y  
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不错  高老师 D>"{H7m Y  
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LB64W ;#h  
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sci_yagnx 2017-12-12 10:15
支持了，好东西
江氏哥 2017-12-12 10:59
谢谢高老师~~
qwerty19917 2017-12-13 22:31
都是高手，菜鸟膜拜
bingdaocike 2017-12-14 23:10
感谢高老师
我是子风子 2017-12-28 14:27
感谢高老师！
月衍素 2018-01-07 15:23
谢谢老师分享
kakk54 2018-01-08 08:07
感谢高老师！！！
wy_fng 2018-01-24 11:52
附件已经补上，感谢高老师！
ioelz 2018-01-24 16:45
taixiexiel
hydk 2018-03-07 11:50
高老师辛苦了，谢谢7
hemet 2018-04-24 10:47
谢谢！
reallyz 2018-05-02 09:55
拜读大作
燃烧的浅蓝 2018-05-07 19:55
=J[[>H'<d  
资料很不错
故乡那条河 2018-05-08 16:05
学习学习！ L]L~TA<D9i  
wsqa123 2018-07-11 09:04
好好学习一下
林天烽 2018-08-21 16:51
感谢分享
jasion 2018-09-06 08:53
谢谢分享，
zs1063090201 2018-10-23 19:11
学习罗 &Ow?Hd0  
sdplan 2018-10-29 12:48
感谢高老师
wk371699903 2018-11-02 11:27
继续学习！ g$^qQs)^N  
bairuizheng 2018-11-02 19:43
谢谢高老师
woshihaobazi 2018-11-07 14:54
附件已经补上，感谢高老师！
sad138 2018-11-15 09:33
谢谢老师！
蓝海小谭 2018-11-22 09:19
谢谢‘’‘’‘’
ellen123 2019-01-09 00:35
谢谢老师，好东西
cgl155410 2019-01-11 11:13
谢谢高老师
joker_vivid 2019-01-17 15:19
感谢高老师！
星空38 2019-01-17 22:49
对“光学设计指引贴4”的补充
jackey_zhou 2019-04-07 14:40
非常感谢高老师的无私分享，学习啦。
sac 2019-06-11 17:40
谢谢分享！！
lihong131313 2019-06-14 08:42
感谢高老师
枫之枯 2019-06-18 23:31
学习一下
titech 2019-06-25 08:19
谢谢高老师，学习学习再学习！
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