[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 ^r(My}  
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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 :S_]!'H  
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图片:2.jpg

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然后运行分析的结果如下： _"L6mcI6  
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Analysis of Tolerances |g)>6+?]W  
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File : E:\光学设计资料\zemax练习\f500.ZMX vno/V#e$WX  
Title: O^row1D_  
Date : TUE JUN 21 2011 rf:H$\yw  
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Units are Millimeters. JHvev,#4  
All changes are computed using linear differences. cPNc$^Y  
[K\b"^=<  
Paraxial Focus compensation only. Y.]$T8  
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WARNING: Solves should be removed prior to tolerancing. 0FI |7  
J:glJ'4E  
Mnemonics: BDWbWA 6  
TFRN: Tolerance on curvature in fringes. >>$`]]7  
TTHI: Tolerance on thickness. X(*O$B{ R  
TSDX: Tolerance on surface decentering in x. adX"Yg!`{c  
TSDY: Tolerance on surface decentering in y. ~Ss,he]Er  
TSTX: Tolerance on surface tilt in x (degrees). jJNCNH*0  
TSTY: Tolerance on surface tilt in y (degrees). 35e{{Gn)v  
TIRR: Tolerance on irregularity (fringes). ^zQI_ydG  
TIND: Tolerance on Nd index of refraction. yvoz 3_!  
TEDX: Tolerance on element decentering in x. o5?Y   
TEDY: Tolerance on element decentering in y. II}M|qHaK  
TETX: Tolerance on element tilt in x (degrees). s) shq3O  
TETY: Tolerance on element tilt in y (degrees). aYb97}kI  
;ISnI  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. 3yKmuu!  
Tgr,1)T  
WARNING: Boundary constraints on compensators will be ignored. 2icQ (H;  
U\tx{CsSz  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm 0zB[seyE  
Mode                : Sensitivities O.(2  
Sampling            : 2 A+0-pF2D  
Nominal Criterion   : 0.54403234 nwUz}em?O  
Test Wavelength     : 0.6328 4v hz`1  
V>`ANZ4  
gE#'Zv{7  
Fields: XY Symmetric Angle in degrees ^D$|$=|DH  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY Z%qtAPd  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 Ct w<-'  
=x\`yxsG  
Sensitivity Analysis: 8'8`xu$  
l\*9rs:!  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| aLGq<6Ja  
Type                      Value      Criterion        Change          Value      Criterion        Change o6k#neB>=.  
Fringe tolerance on surface 1 ~(QfVpRnV=  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 jRS{7rx%MH  
Change in Focus                :      -0.000000                            0.000000 :]m.&r S,  
Fringe tolerance on surface 2 fx{8ERo  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 2+ cs^M3  
Change in Focus                :       0.000000                            0.000000 wgS,U}/i  
Fringe tolerance on surface 3 M}V!;o<t^  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 MxIa,M<  
Change in Focus                :      -0.000000                            0.000000 (O5Yd 6u  
Thickness tolerance on surface 1 4\Y5RfLB_  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 <ukBAux,D  
Change in Focus                :       0.000000                            0.000000 y
ijP  
Thickness tolerance on surface 2 7~mhWPzMwB  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 n|~y >w4  
Change in Focus                :       0.000000                           -0.000000 x?+w8jSR  
Decenter X tolerance on surfaces 1 through 3 tbd=A]B-  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 $s/E}X  
Change in Focus                :       0.000000                            0.000000 =Xh)34q  
Decenter Y tolerance on surfaces 1 through 3 @owneSD qN  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 S%i^`_=Q  
Change in Focus                :       0.000000                            0.000000 eyCZ[SC  
Tilt X tolerance on surfaces 1 through 3 (degrees) tX{yR'Qhu  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 'p&,'+x  
Change in Focus                :       0.000000                            0.000000 MYWkEv7  
Tilt Y tolerance on surfaces 1 through 3 (degrees) vA1YyaB  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 ,_Z(!| rW  
Change in Focus                :       0.000000                            0.000000 ixdsz\<  
Decenter X tolerance on surface 1 JNfL jfE)<  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 5 8bW  
Change in Focus                :       0.000000                            0.000000 }'$PYAf6  
Decenter Y tolerance on surface 1 ZD
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TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 EO&Q  
Change in Focus                :       0.000000                            0.000000 MEiP&=gX!  
Tilt X tolerance on surface (degrees) 1 lir=0oq<  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 qz-QVY,  
Change in Focus                :       0.000000                            0.000000 >.iF,[.[F<  
Tilt Y tolerance on surface (degrees) 1 6Yj{% G  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 ?nd: :O  
Change in Focus                :       0.000000                            0.000000 J?QS7
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Decenter X tolerance on surface 2 l#'V SFm&  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 4I$Y(E}  
Change in Focus                :       0.000000                            0.000000 L=r*bq  
Decenter Y tolerance on surface 2 E#B-JLMGl  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 Y^eN}@]?&  
Change in Focus                :       0.000000                            0.000000 %=^/^[D  
Tilt X tolerance on surface (degrees) 2 J7`mEL>?  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 2?JV "O=  
Change in Focus                :       0.000000                            0.000000 Z7;V}[wie  
Tilt Y tolerance on surface (degrees) 2 \#{PV\x:Nn  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 5?
kfE  
Change in Focus                :       0.000000                            0.000000 D@O`"2  
Decenter X tolerance on surface 3 C$OVN$lL`8  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 ZEP?~zV\A  
Change in Focus                :       0.000000                            0.000000 m9 h '!X<  
Decenter Y tolerance on surface 3 UlYFloZ  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 m@td[^O-  
Change in Focus                :       0.000000                            0.000000 w&p
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Tilt X tolerance on surface (degrees) 3 jf~](TK  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 G,u=ngZ]  
Change in Focus                :       0.000000                            0.000000 [n2B6Px  
Tilt Y tolerance on surface (degrees) 3 utlr|m Xc  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 wVBKVb9N  
Change in Focus                :       0.000000                            0.000000 >t+U`6xK  
Irregularity of surface 1 in fringes 6hxZ5&;(*  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 ;CYoc4e  
Change in Focus                :       0.000000                            0.000000 #De>EQ%  
Irregularity of surface 2 in fringes z5
E%*]  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 /( Wq  
Change in Focus                :       0.000000                            0.000000 T8XrmR&?PX  
Irregularity of surface 3 in fringes ge~@}&#iO@  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 `JySuP2~/  
Change in Focus                :       0.000000                            0.000000 {q-&!l|  
Index tolerance on surface 1 ".?4`@7F\  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 T ozx0??)  
Change in Focus                :       0.000000                            0.000000 0a~t  
Index tolerance on surface 2 jm}CrqU  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 )4yP(6|lx  
Change in Focus                :       0.000000                           -0.000000 9LDv?kYr  
AI|vL4*Xd  
Worst offenders: Y6` xb`  
Type                      Value      Criterion        Change Z>hTL_|]a{  
TSTY   2            -0.20000000     0.35349910    -0.19053324 VmS_(bM  
TSTY   2             0.20000000     0.35349910    -0.19053324 4Yj1Etq.E  
TSTX   2            -0.20000000     0.35349910    -0.19053324 2Ez<Iw  
TSTX   2             0.20000000     0.35349910    -0.19053324 Qs6<(zaqkt  
TSTY   1            -0.20000000     0.42678383    -0.11724851 F9K%f&0
a  
TSTY   1             0.20000000     0.42678383    -0.11724851 M<vPE4TIr*  
TSTX   1            -0.20000000     0.42678383    -0.11724851 1Cr&6't  
TSTX   1             0.20000000     0.42678383    -0.11724851 po| Ux`u  
TSTY   3            -0.20000000     0.42861670    -0.11541563 K d&/9<{>  
TSTY   3             0.20000000     0.42861670    -0.11541563 +jm,nM9  
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Estimated Performance Changes based upon Root-Sum-Square method: L)e"qC_-  
Nominal MTF                 :     0.54403234 F-&tSU,  
Estimated change            :    -0.36299231 NkZG  
Estimated MTF               :     0.18104003 2~4:rEPJ:  
V;M_Y$`Lh  
Compensator Statistics: 3$|/7(M&DA  
Change in back focus: 9/ <3mF@E  
Minimum            :        -0.000000 A_xC@$1e<  
Maximum            :         0.000000 VD;*UkapZx  
Mean               :        -0.000000 RRL{a6(?  
Standard Deviation :         0.000000 d:=' Xs
 
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Monte Carlo Analysis: ++cS^ Lo  
Number of trials: 20 r&gvP|W%  
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Initial Statistics: Normal Distribution NR4+&d  
w#A)B<Y/"  
  Trial       Criterion        Change ~ao:9ynY  
      1     0.42804416    -0.11598818 $y(;"hy  
Change in Focus                :      -0.400171 PX:#+bq1  
      2     0.54384387    -0.00018847 djd/QA
fSC  
Change in Focus                :       1.018470 6u[fCGi%  
      3     0.44510003    -0.09893230 ]C_+u_9  
Change in Focus                :      -0.601922 #Hw|P  
      4     0.18154684    -0.36248550 <b 5DX  
Change in Focus                :       0.920681 S 'a- E![  
      5     0.28665820    -0.25737414 =[B\50]  
Change in Focus                :       1.253875 tsXKhS;/w  
      6     0.21263372    -0.33139862 YQMWhC,8hy  
Change in Focus                :      -0.903878 Kk3+ ]W<  
      7     0.40051424    -0.14351809 XT7m3M  
Change in Focus                :      -1.354815 vFPY|Vzh  
      8     0.48754161    -0.05649072 MIMC(<  
Change in Focus                :       0.215922 s9- qR_  
      9     0.40357468    -0.14045766 PR:k--)D  
Change in Focus                :       0.281783 s68(jYC7[  
     10     0.26315315    -0.28087919 N\{"&e  
Change in Focus                :      -1.048393 #]` uH{  
     11     0.26120585    -0.28282649 u]p21)m$x  
Change in Focus                :       1.017611 ,i>`Urd  
     12     0.24033815    -0.30369419 K<S3gb?0  
Change in Focus                :      -0.109292 rH@Rh}#yp  
     13     0.37164046    -0.17239188 HDe\Oty_  
Change in Focus                :      -0.692430 #M-!/E  
     14     0.48597489    -0.05805744 N J3;[qJ  
Change in Focus                :      -0.662040 G m~ ./-  
     15     0.21462327    -0.32940907 \"lz,bT  
Change in Focus                :       1.611296 Lqgrt]L_"  
     16     0.43378226    -0.11025008 !=0h*=NOYt  
Change in Focus                :      -0.640081 F};R  
     17     0.39321881    -0.15081353 hU?DLl:bXF  
Change in Focus                :       0.914906 'uL4ezTtA  
     18     0.20692530    -0.33710703 'l*X?ccKy  
Change in Focus                :       0.801607 f{BF%;  
     19     0.51374068    -0.03029165 zt
p|FUi  
Change in Focus                :       0.947293 H0l1=y  
     20     0.38013374    -0.16389860 hD6
BP  
Change in Focus                :       0.667010 : auR0FE  
0eY!Z._^  
Number of traceable Monte Carlo files generated: 20 gOF^?M11x  
w~Tg?RH:  
Nominal     0.54403234 tv#oEM9esl  
Best        0.54384387    Trial     2 0 R6:3fV6R  
Worst       0.18154684    Trial     4 (bwD:G9  
Mean        0.35770970 wZvv5:jKpu  
Std Dev     0.11156454 Wjb_H (D  
b3A0o*  
kx,.)qKk  
Compensator Statistics: @MSmg3&  
Change in back focus: DbGS]k<$  
Minimum            :        -1.354815 h}Otz "  
Maximum            :         1.611296 rA~f68h|  
Mean               :         0.161872 yl[I'fX66  
Standard Deviation :         0.869664 0jTReY-W  
&@iOB #H  
90% >       0.20977951               (< +A w7  
80% >       0.22748071               4@9Pd &I  
50% >       0.38667627               {npm9w<;  
20% >       0.46553746               *,\v|]fc  
10% >       0.50064115                O<S.fr,  
dq93P%X24  
End of Run. UtQj<18<  
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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 nCQtn%j't  

图片:3.JPG

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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 Xf u0d1b  
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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                 f@i#Znkf*?  
80% >       0.22748071                 8T1`9IT
l:  
50% >       0.38667627                 {$8+n::  
20% >       0.46553746                 a_b#hM/c;  
10% >       0.50064115 6 f*:;  
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最后这个数值是MTF值呢，还是MTF的公差？ UT;%I_i!'  
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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？？？   
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FX!KX/OE)  
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  : (RFH.iX  
90% >       0.20977951                 4s7 RB  
80% >       0.22748071                 3YMqp~4  
50% >       0.38667627                 GQYR`;>  
20% >       0.46553746                 h/n(  
10% >       0.50064115 3O,nNt;L{  
....... m[eqTh4*  

|Y K,&  
~vz%I^xW  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   "AUSgVE+h  
Mode                : Sensitivities b*Y Wd3  
Sampling            : 2 :&wb+tV  
Nominal Criterion   : 0.54403234 ;mEn@@{  
Test Wavelength     : 0.6328 bB?E(>N;  
0BDw}E\  
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？ 8</wQ6&
|  
3SIqod;%  
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