[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 7,|c  
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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 +~roU{& o  
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图片:2.jpg

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然后运行分析的结果如下： ;A'Z4=*~  
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Analysis of Tolerances kRD%b[*d  
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File : E:\光学设计资料\zemax练习\f500.ZMX Eu-RNrYh#  
Title: D <&X_  
Date : TUE JUN 21 2011 {R61cD,n  
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Units are Millimeters. 1Q4}'0U4  
All changes are computed using linear differences. ZAUQJS 91E  
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Paraxial Focus compensation only. ~aOuG5XK  
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WARNING: Solves should be removed prior to tolerancing. A
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Mnemonics: >O?U=OeD  
TFRN: Tolerance on curvature in fringes. I_%a{$Gjl  
TTHI: Tolerance on thickness. [],1lRYI9_  
TSDX: Tolerance on surface decentering in x. * Y7jl#7  
TSDY: Tolerance on surface decentering in y. 9D}/\jM  
TSTX: Tolerance on surface tilt in x (degrees). P*@2.#oO  
TSTY: Tolerance on surface tilt in y (degrees). t" 7yNs(I  
TIRR: Tolerance on irregularity (fringes). Wg0g/  
TIND: Tolerance on Nd index of refraction. =;|QZ"%E  
TEDX: Tolerance on element decentering in x. @qjfZH@  
TEDY: Tolerance on element decentering in y. Da:unVbU
 
TETX: Tolerance on element tilt in x (degrees). W4U@%b do  
TETY: Tolerance on element tilt in y (degrees). 3a 1u   
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WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. 0}FOV`n  
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WARNING: Boundary constraints on compensators will be ignored. xIGfM>uq  
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Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm <b?!jV7  
Mode                : Sensitivities d]i(h~?_  
Sampling            : 2 RZ7(J  
Nominal Criterion   : 0.54403234 ;?~$h-9)  
Test Wavelength     : 0.6328 >'xGp7}y  
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Fields: XY Symmetric Angle in degrees `^Eae  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY >Clh] ;K  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 ym/fFm6h  
pD2<fP_  
Sensitivity Analysis: ;k86"W  
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                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| d90Z,nex  
Type                      Value      Criterion        Change          Value      Criterion        Change fr}Eaa-{^  
Fringe tolerance on surface 1 #9fWA
F  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 X!},8}~J~  
Change in Focus                :      -0.000000                            0.000000 he-Ji  
Fringe tolerance on surface 2 <zy,5IlD  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 5P+t^\  
Change in Focus                :       0.000000                            0.000000
GK}'R=   
Fringe tolerance on surface 3 qG/fE'(j&  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 9W>Y#V~|v!  
Change in Focus                :      -0.000000                            0.000000 Enq|Y$qm  
Thickness tolerance on surface 1 ~i_Tw#}  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 \WrFqm#  
Change in Focus                :       0.000000                            0.000000 ).HDru-2  
Thickness tolerance on surface 2 dg7=X{=9jv  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 $1zvgep  
Change in Focus                :       0.000000                           -0.000000 <U9/InN0[  
Decenter X tolerance on surfaces 1 through 3 %77p5ctW  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 X$b={]b  
Change in Focus                :       0.000000                            0.000000 \zkw2*t  
Decenter Y tolerance on surfaces 1 through 3 (zYy}g#n  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 $W42vjr4  
Change in Focus                :       0.000000                            0.000000 Grz 3{U  
Tilt X tolerance on surfaces 1 through 3 (degrees) (9mMkU=  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 F;!2(sPS  
Change in Focus                :       0.000000                            0.000000 LsGiu9~S  
Tilt Y tolerance on surfaces 1 through 3 (degrees) FNQX7O52  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 desThnTw  
Change in Focus                :       0.000000                            0.000000 +wk`;0sA  
Decenter X tolerance on surface 1 R
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TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 eL.7#SIr}  
Change in Focus                :       0.000000                            0.000000 pA#}-S%  
Decenter Y tolerance on surface 1 Dli^2hD  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 O^I[ (8Y8  
Change in Focus                :       0.000000                            0.000000 "4j:[9vR\  
Tilt X tolerance on surface (degrees) 1 wVA|!>v  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 f
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Change in Focus                :       0.000000                            0.000000 5[9bWB{  
Tilt Y tolerance on surface (degrees) 1 ]AS"z<  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 ZDYJhJ.  
Change in Focus                :       0.000000                            0.000000 zMK](o1Vj  
Decenter X tolerance on surface 2 zN_:nY>
  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 oXt,e  
Change in Focus                :       0.000000                            0.000000 6`"M
 
Decenter Y tolerance on surface 2 QI[}(O7#6  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 A?"h@-~2  
Change in Focus                :       0.000000                            0.000000 Q1&P@Io$  
Tilt X tolerance on surface (degrees) 2 &Rz, J]  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 =vh8T\  
Change in Focus                :       0.000000                            0.000000 hvt@XZT  
Tilt Y tolerance on surface (degrees) 2
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TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 "x&C5l}n  
Change in Focus                :       0.000000                            0.000000 ;;gK@?hJ  
Decenter X tolerance on surface 3 iY/KSX^~O  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 bT!($?GNdg  
Change in Focus                :       0.000000                            0.000000 2$zU&p7sV  
Decenter Y tolerance on surface 3 j%*7feSNC  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 fd8#Ng"1  
Change in Focus                :       0.000000                            0.000000 8C.!V =@\  
Tilt X tolerance on surface (degrees) 3 SHqyvF  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 +MO E  
Change in Focus                :       0.000000                            0.000000 TQ1WVq }*  
Tilt Y tolerance on surface (degrees) 3 nyT[^n  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 xQlT%X;'  
Change in Focus                :       0.000000                            0.000000 |AH@ EI>  
Irregularity of surface 1 in fringes -lRhz!E]  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 _NdLcpBT?  
Change in Focus                :       0.000000                            0.000000 9 K  
Irregularity of surface 2 in fringes vh>{_ #  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 C@HD(..
#  
Change in Focus                :       0.000000                            0.000000 NyI;v=  
Irregularity of surface 3 in fringes ZAg;q#z j  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 L]2<&%N2  
Change in Focus                :       0.000000                            0.000000 KLt%[$CTi  
Index tolerance on surface 1 "g
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TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 {%']w  
Change in Focus                :       0.000000                            0.000000 VZA3IbK}  
Index tolerance on surface 2 ]~a_d)  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 Wc#:f8dr  
Change in Focus                :       0.000000                           -0.000000 f@:CyB GQ  
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Worst offenders: {.#zHL ;  
Type                      Value      Criterion        Change %N~CvN@T  
TSTY   2            -0.20000000     0.35349910    -0.19053324 jgvh[@uB?  
TSTY   2             0.20000000     0.35349910    -0.19053324 A1,4kqmE  
TSTX   2            -0.20000000     0.35349910    -0.19053324 liNON  
TSTX   2             0.20000000     0.35349910    -0.19053324 Wm6dQQ;Bj  
TSTY   1            -0.20000000     0.42678383    -0.11724851 ?'~;Q)  
TSTY   1             0.20000000     0.42678383    -0.11724851 t,vTAq.
))  
TSTX   1            -0.20000000     0.42678383    -0.11724851 sdF3cX  
TSTX   1             0.20000000     0.42678383    -0.11724851 :+kUkb-/  
TSTY   3            -0.20000000     0.42861670    -0.11541563 8g5V,3_6  
TSTY   3             0.20000000     0.42861670    -0.11541563 ^)cM&Bxt%  
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Estimated Performance Changes based upon Root-Sum-Square method: T~Yg5J  
Nominal MTF                 :     0.54403234 y-`I) w%  
Estimated change            :    -0.36299231 @&/\r 7 '  
Estimated MTF               :     0.18104003 *=^[VV!  
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Compensator Statistics: (4)3W^/kk?  
Change in back focus: ^L~ [+|  
Minimum            :        -0.000000 AZ8UXq  
Maximum            :         0.000000 I>m;G `  
Mean               :        -0.000000 KHJ=$5r)
 
Standard Deviation :         0.000000 ^~I @ spR4  
VA]ZR+m  
Monte Carlo Analysis: rZ866\0  
Number of trials: 20 *Pb.f  
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Initial Statistics: Normal Distribution
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  Trial       Criterion        Change $u,GVq~  
      1     0.42804416    -0.11598818 |,fh)vO  
Change in Focus                :      -0.400171 ]]V^:"ne  
      2     0.54384387    -0.00018847 3Bd4 C]E  
Change in Focus                :       1.018470 rAatJc"0  
      3     0.44510003    -0.09893230 {dZ8;Fy4  
Change in Focus                :      -0.601922 U5wTGv4S|  
      4     0.18154684    -0.36248550 vadM1c*z  
Change in Focus                :       0.920681 Gt.*_E  
      5     0.28665820    -0.25737414 pFH?/D/q  
Change in Focus                :       1.253875 c20|Cx2m  
      6     0.21263372    -0.33139862 fbL!=]A*3  
Change in Focus                :      -0.903878 [xS5z1;  
      7     0.40051424    -0.14351809 }@4|7  
Change in Focus                :      -1.354815 '?L%F{g/9  
      8     0.48754161    -0.05649072 F0:
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Change in Focus                :       0.215922 4O Zy&,  
      9     0.40357468    -0.14045766 o(SuUGW  
Change in Focus                :       0.281783 &1$8q0  
     10     0.26315315    -0.28087919 AuM:2N2  
Change in Focus                :      -1.048393 '!j(u@&!  
     11     0.26120585    -0.28282649 { ;' :h  
Change in Focus                :       1.017611 EreAn  
     12     0.24033815    -0.30369419 D;yd{
]<  
Change in Focus                :      -0.109292 _9
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     13     0.37164046    -0.17239188 L3' \r  
Change in Focus                :      -0.692430 "]9_Fv  
     14     0.48597489    -0.05805744 H.;yLL=  
Change in Focus                :      -0.662040 z5I^0'  
     15     0.21462327    -0.32940907 ;W4:#/~14  
Change in Focus                :       1.611296 `i{4cT8:  
     16     0.43378226    -0.11025008 z7$}#)Z7  
Change in Focus                :      -0.640081 I]UA0[8X  
     17     0.39321881    -0.15081353 0wYiu  
Change in Focus                :       0.914906 n K0hTQ  
     18     0.20692530    -0.33710703 iqlVlm>E  
Change in Focus                :       0.801607 a#6,#Q"  
     19     0.51374068    -0.03029165 9M19UP&  
Change in Focus                :       0.947293 |7Yvq%E  
     20     0.38013374    -0.16389860 kt5YgW  
Change in Focus                :       0.667010 |<7i|J  
.k|-Ks|d|  
Number of traceable Monte Carlo files generated: 20 iPJ9Gh7  
d<)s@Ntgm  
Nominal     0.54403234 -<12~HKK::  
Best        0.54384387    Trial     2 C
YMM*4#  
Worst       0.18154684    Trial     4 AzW%+ LUD  
Mean        0.35770970 {K6Kx36  
Std Dev     0.11156454 k.h^ $f  
^w ]1qjGw  
aq$62>[  
Compensator Statistics: 2@OBeR  
Change in back focus: E{?L= ^cU  
Minimum            :        -1.354815 S@;&U1@h  
Maximum            :         1.611296 FW5*_%J  
Mean               :         0.161872 ]r]+yM|  
Standard Deviation :         0.869664 [cY?!Qd0  
" -<}C%C  
90% >       0.20977951               {m>~`   
80% >       0.22748071               re2Fv:4{  
50% >       0.38667627               @ICejB<  
20% >       0.46553746               fjF!
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10% >       0.50064115                aslNlH6  

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End of Run. QJniM"8v  
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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 dW:w<{a!R  

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 O>kXysMv>  
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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                 mgJ]@s}9  
80% >       0.22748071                 UeutFNp  
50% >       0.38667627                 P'FPe55F  
20% >       0.46553746                 Y`E{E|J  
10% >       0.50064115 >llwNT  
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最后这个数值是MTF值呢，还是MTF的公差？ ySPlyhGF  
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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？？？   D]LFX/hlH  
~jg
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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  : =+sIX3
  
90% >       0.20977951                 Ws}kb@5  
80% >       0.22748071                 zLIa! -C  
50% >       0.38667627                 \Kzt*C-ZH  
20% >       0.46553746                 88+\mX;A#  
10% >       0.50064115 N6m*xxI{  
....... b6E8ase:F  

X0r#,u  
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这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   p(b1I+!  
Mode                : Sensitivities 'I01F:`  
Sampling            : 2 JV6U0$g_S  
Nominal Criterion   : 0.54403234 m^u&g&^  
Test Wavelength     : 0.6328 $\J9F=<a  
\5pAG mgD  
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？ JX,#W!d  
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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