[讨论]公差分析结果的疑问 [复制链接]

我现在在初学zemax的公差分析，找了一个双胶合透镜 {^v50d  

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图片:1.JPG

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然后添加了默认公差分析，基本没变 U i;o/Z3  
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图片:2.jpg

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然后运行分析的结果如下： 6YN4]  
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Analysis of Tolerances w% M0Mu  
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File : E:\光学设计资料\zemax练习\f500.ZMX )pJzw-m"  
Title: SU:Cm:$  
Date : TUE JUN 21 2011 |h;MA,qva  
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Units are Millimeters. G[jCmkK  
All changes are computed using linear differences. 6@ + >UZr\  
tcs Z!#  
Paraxial Focus compensation only. }=++Lr4*  
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WARNING: Solves should be removed prior to tolerancing. jtA Yp3M-$  
15
870xS  
Mnemonics: Z)HQlm  
TFRN: Tolerance on curvature in fringes. aJ2-BRn  
TTHI: Tolerance on thickness. #3.\}d)  
TSDX: Tolerance on surface decentering in x. tTY(I1  
TSDY: Tolerance on surface decentering in y. dJ$}]   
TSTX: Tolerance on surface tilt in x (degrees). UOq$88sr  
TSTY: Tolerance on surface tilt in y (degrees). g{&ux k);  
TIRR: Tolerance on irregularity (fringes). 5dhRuc  
TIND: Tolerance on Nd index of refraction. ^<< Wqmx  
TEDX: Tolerance on element decentering in x. ";Lpf]<  
TEDY: Tolerance on element decentering in y. Qv8Z64#  
TETX: Tolerance on element tilt in x (degrees). K@hv[4  
TETY: Tolerance on element tilt in y (degrees). upWq=_  
=U?"#   
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. FG'1;x!  
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WARNING: Boundary constraints on compensators will be ignored. Yx,  
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Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm @o8\
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Mode                : Sensitivities D:f0Wv  
Sampling            : 2 a7ZPV1k  
Nominal Criterion   : 0.54403234 :.@gd7T  
Test Wavelength     : 0.6328 W8\K_M}  
{BgGG@e  
R#gip  
Fields: XY Symmetric Angle in degrees #[2]B8NZ  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY o-R;EbL  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 -\LB>\;qn  
CfAX,f"ZP  
Sensitivity Analysis: 2@=
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WJ=^r@Sf  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| ZNzye1JSm  
Type                      Value      Criterion        Change          Value      Criterion        Change \4mw>8wA  
Fringe tolerance on surface 1 <s  $~h  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 c8#A^q}  
Change in Focus                :      -0.000000                            0.000000 "GgK,d}%  
Fringe tolerance on surface 2 }9jy)gF*e  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 Ig]Gg/1G  
Change in Focus                :       0.000000                            0.000000 nx=Zl:Q}  
Fringe tolerance on surface 3 w$pBACX  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 1S<V,9(  
Change in Focus                :      -0.000000                            0.000000 T0
v;8Ee  
Thickness tolerance on surface 1 JhIgqW2  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 oC"c%e8  
Change in Focus                :       0.000000                            0.000000 (`xhh  
Thickness tolerance on surface 2 Lylw('zZ  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 kpcIU7|e  
Change in Focus                :       0.000000                           -0.000000 5|";L&`  
Decenter X tolerance on surfaces 1 through 3 2?#IwT'  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 90&ld:97  
Change in Focus                :       0.000000                            0.000000 g6+}'MN:5  
Decenter Y tolerance on surfaces 1 through 3 8I3"68c_a  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 36e!je  
Change in Focus                :       0.000000                            0.000000 B$sB1M0q  
Tilt X tolerance on surfaces 1 through 3 (degrees) d0eMDIm3R\  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 ?u"MsnCXYn  
Change in Focus                :       0.000000                            0.000000 k~h'`(  
Tilt Y tolerance on surfaces 1 through 3 (degrees) iZyhj%#  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 Tj$D:xKf)  
Change in Focus                :       0.000000                            0.000000 ayTEQS  
Decenter X tolerance on surface 1 9K-=2hvv  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 @.6l^"L  
Change in Focus                :       0.000000                            0.000000 B0T[[%~3M  
Decenter Y tolerance on surface 1 [/.o>R#J(  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 -Xb]=Yf-  
Change in Focus                :       0.000000                            0.000000 89?$xm_m  
Tilt X tolerance on surface (degrees) 1 u|z B\zd  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 p(fYpD  
Change in Focus                :       0.000000                            0.000000 Y<0 [_+(  
Tilt Y tolerance on surface (degrees) 1 CXwDG_e  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 sluR@[l  
Change in Focus                :       0.000000                            0.000000 3iMh)YH5b  
Decenter X tolerance on surface 2 fH-V!QY
GF  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 n.Iu|,?q  
Change in Focus                :       0.000000                            0.000000 J39,x=8LL  
Decenter Y tolerance on surface 2 *_ {w0U)  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 VC,wQb1J/  
Change in Focus                :       0.000000                            0.000000 C(qqGK{  
Tilt X tolerance on surface (degrees) 2 ~_OtbNj#  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 &_n~#Mex  
Change in Focus                :       0.000000                            0.000000 <iDqt5)N  
Tilt Y tolerance on surface (degrees) 2 4RTuy+ M  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 $$_aHkI j  
Change in Focus                :       0.000000                            0.000000 gh>'O/9  
Decenter X tolerance on surface 3 A6v<+`?  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 794V(;sW,  
Change in Focus                :       0.000000                            0.000000 rPWn  
Decenter Y tolerance on surface 3 {L^b['h@  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 fS+Ga1CsH  
Change in Focus                :       0.000000                            0.000000 Op%}.9ed  
Tilt X tolerance on surface (degrees) 3 {fW(e?8)  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 "$#X[.  
Change in Focus                :       0.000000                            0.000000 !
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Tilt Y tolerance on surface (degrees) 3 W=fs"
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TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 JFf*v6:,  
Change in Focus                :       0.000000                            0.000000 ;dgxeP;mp  
Irregularity of surface 1 in fringes c~bi ~ f  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 sJu^deX  
Change in Focus                :       0.000000                            0.000000 /V}>v
  
Irregularity of surface 2 in fringes ^o^[p %  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 OCIWQ/ P  
Change in Focus                :       0.000000                            0.000000 JsAl;w  
Irregularity of surface 3 in fringes huVw+vAA  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 frV*
+  
Change in Focus                :       0.000000                            0.000000 $J}d6%   
Index tolerance on surface 1 HF>Gf2-C  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 "e4;xU-  
Change in Focus                :       0.000000                            0.000000 (T+fO}0  
Index tolerance on surface 2 ~H"Q5Hr  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 e%.Xya#\  
Change in Focus                :       0.000000                           -0.000000 ?\[2Po]n  
ti$d.Kc(  
Worst offenders: 0Yk@O) x  
Type                      Value      Criterion        Change aD)XxXwozm  
TSTY   2            -0.20000000     0.35349910    -0.19053324 -ZwQL="t  
TSTY   2             0.20000000     0.35349910    -0.19053324 {!h|(xqN+  
TSTX   2            -0.20000000     0.35349910    -0.19053324 evOyTvc  
TSTX   2             0.20000000     0.35349910    -0.19053324 P6q`i<  
TSTY   1            -0.20000000     0.42678383    -0.11724851 CFdR4vuEI  
TSTY   1             0.20000000     0.42678383    -0.11724851 G=?2{c}U  
TSTX   1            -0.20000000     0.42678383    -0.11724851 {v{qPYNyh  
TSTX   1             0.20000000     0.42678383    -0.11724851 ]XX9.Xh=-  
TSTY   3            -0.20000000     0.42861670    -0.11541563 =[{YI2S  
TSTY   3             0.20000000     0.42861670    -0.11541563 /Xa_Xg7  
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Estimated Performance Changes based upon Root-Sum-Square method: S ykblP37  
Nominal MTF                 :     0.54403234 )c~1
s  
Estimated change            :    -0.36299231 rz/^_dV  
Estimated MTF               :     0.18104003 a|aRUxa0"  
R1$O)A}k  
Compensator Statistics: F-K=Otj  
Change in back focus: :6R0=oz  
Minimum            :        -0.000000 2ZHeOKJ-  
Maximum            :         0.000000 Bc1[^{`bq^  
Mean               :        -0.000000 %g1{nGah  
Standard Deviation :         0.000000 P=v 0|Y*q|  
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Monte Carlo Analysis: (Ic{C5'  
Number of trials: 20 =~;SUO  
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Initial Statistics: Normal Distribution cTpmklq  
'nH/Z 84  
  Trial       Criterion        Change +bC-_xGuh  
      1     0.42804416    -0.11598818 xRum q  
Change in Focus                :      -0.400171 =apcMW(zn  
      2     0.54384387    -0.00018847 g-B~"tp  
Change in Focus                :       1.018470 % H"A%  
      3     0.44510003    -0.09893230 !YUMAp/  
Change in Focus                :      -0.601922 ERSo&8  
      4     0.18154684    -0.36248550 :W]IJ mI\  
Change in Focus                :       0.920681
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      5     0.28665820    -0.25737414 0XwDk$l<  
Change in Focus                :       1.253875 'C=8.P?  
      6     0.21263372    -0.33139862 `<R;^qCt  
Change in Focus                :      -0.903878 jET$wKw%  
      7     0.40051424    -0.14351809 "r@f&Ssxb  
Change in Focus                :      -1.354815 ];@"-H  
      8     0.48754161    -0.05649072 ~pM\]OC  
Change in Focus                :       0.215922 f n]rMH4>  
      9     0.40357468    -0.14045766 Z.9?u;  
Change in Focus                :       0.281783 t{)Z$)
'  
     10     0.26315315    -0.28087919 w7n6@"q  
Change in Focus                :      -1.048393 j9)WInYc:  
     11     0.26120585    -0.28282649 %3v:c|r  
Change in Focus                :       1.017611 $|0_[~0-n  
     12     0.24033815    -0.30369419 G01J1Ll}  
Change in Focus                :      -0.109292 3&*_5<t\X  
     13     0.37164046    -0.17239188 OC)~psQK  
Change in Focus                :      -0.692430 OGmOk>_  
     14     0.48597489    -0.05805744 <hG=0Zcr  
Change in Focus                :      -0.662040 2^-Z17Z}  
     15     0.21462327    -0.32940907 7D5;lM[_  
Change in Focus                :       1.611296 +(>!nsf  
     16     0.43378226    -0.11025008 j@OGl&'^-  
Change in Focus                :      -0.640081 hD OEJ  
     17     0.39321881    -0.15081353 k+*DPo@)
 
Change in Focus                :       0.914906 &zVF!xNy&  
     18     0.20692530    -0.33710703 (e>.hfrs  
Change in Focus                :       0.801607 Dx<">4
 
     19     0.51374068    -0.03029165 UzLe#3MU  
Change in Focus                :       0.947293 We^!(G  
     20     0.38013374    -0.16389860 YyI4T/0s_  
Change in Focus                :       0.667010 ^1d"Rqtv  
D9OI",h  
Number of traceable Monte Carlo files generated: 20 T<!&6,N A  
I]S8:w![  
Nominal     0.54403234 Q/e$Ttt4J  
Best        0.54384387    Trial     2 Z1V%pg>]*  
Worst       0.18154684    Trial     4 ^:JZ.r  
Mean        0.35770970 ~N</;{}fL4  
Std Dev     0.11156454 )ESF)aKMiz  
YXD6G
JWo  
m%8idjnG  
Compensator Statistics: k M/cD`  
Change in back focus: _)4YxmK%  
Minimum            :        -1.354815 *0y|0J+0  
Maximum            :         1.611296 @S3G>i  
Mean               :         0.161872 x50,4J%J'r  
Standard Deviation :         0.869664 d1=kHU4_9  
E1,Sr?'  
90% >       0.20977951               f< A@D"m/  
80% >       0.22748071               ?sb Ob  
50% >       0.38667627               idL6*%M  
20% >       0.46553746               >eHSbQu/Bu  
10% >       0.50064115                D
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}*+?1kv  
End of Run. (h8M  
5w:   
这就有了些疑问，为什么我选择的补偿器是近轴焦点，而分析结果近轴焦点都不变化？？应该是变得。另外最后的蒙特卡洛分析，只有10%的大于0.5（我用的是MTF作为评价方式），可是我设计的MTF如图 oH/6  

图片:3.JPG

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E;l|I A/7  
是大于0.6左右的，难道我按照这个默认的公差来加工的话，只有10%的才可能大于0.5？那太低了啊，请问这该怎么进行进一步处理。或者之前哪有问题 -7_`6U2"  
x"kc:F  
不吝赐教

我又试了试，原来是得根据上面的结果不断修改公差，放松或者变紧，然后在做公差分析，不断提高蒙特卡罗的结果。但是比如就拿我这个来说，理想是达到30lp处>0.6，那么实际做蒙特卡罗公差分析时，百分之多少以上的MTF是合格的呢？

90% >       0.20977951                 5IeF |#g  
80% >       0.22748071                 Tjo K]
]  
50% >       0.38667627                 }V.Wp6"S   
20% >       0.46553746                 4&r+K`C0  
10% >       0.50064115 Kg0Vbzvb  
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最后这个数值是MTF值呢，还是MTF的公差？ H\A!oB,sw  
HC,YmO:df"  
也就是说，这到底是有90%的产品MTF大于0.20977951还是90%的产品的MTF变化量大于0.20977951？？？   ODn6%fp%  
y7#$:+jQv  
怎么没人啊，大家讨论讨论吗

没有人啊？？？

引用第2楼sansummer于2011-06-22 08:56发表的  : 2UY0:ye  
90% >       0.20977951                 |M|'S~z  
80% >       0.22748071                 b u%p,u!
 
50% >       0.38667627                 CBx1.xL  
20% >       0.46553746                 ]Po9a4w#  
10% >       0.50064115 SeAokz>  
....... 5)4*J.  

\UFno$;mA  
w
Vk2Fr(  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm  
& Sy0Of  
Mode                : Sensitivities ?KpHvf'  
Sampling            : 2  X>OO4SV  
Nominal Criterion   : 0.54403234 AbUPJF"F  
Test Wavelength     : 0.6328 9F)v=  
K^tM$l\  
波长632.8nm 时 mtf 是 0.54403234  没达到0.6

谢谢。您说的“波长632.8nm 时 mtf 是 0.54403234  没达到0.6”这是一个评价标准吧？ &Wfs6g  
T+NEw8C?/  
这个评价标准和我理想的设计结果的0.6有什么联系吗，另外这个 0.54403234  是这么来的？

你试试把原来的系统波长改成632.8nm，看看Geometric MTF    30 per mm 的mtf值是不是0.54403234

啊...这倒也是。换了波长的确可能有所变化。另外还有就是如果现在百分比太低，我是否应该考虑把最敏感的公差再紧一些，就会好了？

恩，多多尝试