[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 B?gFFU61  
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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 )q|a
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图片:2.jpg

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然后运行分析的结果如下： p6c&vEsNj  
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Analysis of Tolerances 3YO%$  
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File : E:\光学设计资料\zemax练习\f500.ZMX mMOjV_  
Title: dJ(<zz+;b  
Date : TUE JUN 21 2011 1=L5=uz1d:  
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Units are Millimeters. dMw}4c3E  
All changes are computed using linear differences. I83 _x|$FZ  
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Paraxial Focus compensation only. aN?^vW<  
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WARNING: Solves should be removed prior to tolerancing.  NIh?2w"\  
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Mnemonics: s+<`iH9Hm  
TFRN: Tolerance on curvature in fringes. M.oH,Kd6  
TTHI: Tolerance on thickness. "$#<+H>O  
TSDX: Tolerance on surface decentering in x. y!M# #K*  
TSDY: Tolerance on surface decentering in y. 1smKU9B2)  
TSTX: Tolerance on surface tilt in x (degrees). .LI(2lP  
TSTY: Tolerance on surface tilt in y (degrees). Wl0p-h  
TIRR: Tolerance on irregularity (fringes). jB"IJ$cD  
TIND: Tolerance on Nd index of refraction. hX)PdRk#  
TEDX: Tolerance on element decentering in x. V\nj7Gr:sF  
TEDY: Tolerance on element decentering in y. U ATF}x  
TETX: Tolerance on element tilt in x (degrees). %?X6TAtH  
TETY: Tolerance on element tilt in y (degrees). 83!{?EPE  
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WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. QAzwNXE+  
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WARNING: Boundary constraints on compensators will be ignored. gvFs$X*^:  
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Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm -2B3 xIZJ  
Mode                : Sensitivities S| |OSxZ  
Sampling            : 2 /hS
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Nominal Criterion   : 0.54403234 lO
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Test Wavelength     : 0.6328 Oy_%U*  
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Fields: XY Symmetric Angle in degrees }2hU7YWt  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY kx,3[qe'S  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 %n^ugm0B  
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Sensitivity Analysis: 1*f
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                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| a0&L,7mu<'  
Type                      Value      Criterion        Change          Value      Criterion        Change kgHZaQnD  
Fringe tolerance on surface 1 4Opf[3]  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 ]E$bK  
Change in Focus                :      -0.000000                            0.000000 *?pnTQs^  
Fringe tolerance on surface 2 cD t|v~  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 9]vy#a#  
Change in Focus                :       0.000000                            0.000000 g(C/J9J  
Fringe tolerance on surface 3 ?c
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TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 (#BOcx5J]  
Change in Focus                :      -0.000000                            0.000000 w<u@L  
Thickness tolerance on surface 1 Van=dzG  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 []G@l. ]W  
Change in Focus                :       0.000000                            0.000000 K;ocs?rk/  
Thickness tolerance on surface 2 G 2`hEX%  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 I7HGV(  
Change in Focus                :       0.000000                           -0.000000 EXsVZg"#  
Decenter X tolerance on surfaces 1 through 3 2cjbb kq  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 twhT6wz"  
Change in Focus                :       0.000000                            0.000000 @

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Decenter Y tolerance on surfaces 1 through 3 D*/fY=gK  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 S$=caZ?  
Change in Focus                :       0.000000                            0.000000 .%+anVXS  
Tilt X tolerance on surfaces 1 through 3 (degrees) h_Ssm{C\  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 \dbaY:(  
Change in Focus                :       0.000000                            0.000000 i9|}-5ED  
Tilt Y tolerance on surfaces 1 through 3 (degrees) @KRia{  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 _*cKu>,O  
Change in Focus                :       0.000000                            0.000000 rZ&li/Z
 
Decenter X tolerance on surface 1 pfR~?jYzm  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 `!xI!Y\  
Change in Focus                :       0.000000                            0.000000 6rM{r>  
Decenter Y tolerance on surface 1 nErr&{C  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 .kTOG'K\e  
Change in Focus                :       0.000000                            0.000000 7x]q>Y8T  
Tilt X tolerance on surface (degrees) 1 {v"Y!/ [z  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 }USOWsLSt  
Change in Focus                :       0.000000                            0.000000 MDZPp;\)  
Tilt Y tolerance on surface (degrees) 1 KGGnypx`  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 Uz=ol.E  
Change in Focus                :       0.000000                            0.000000 rk47$36X  
Decenter X tolerance on surface 2 'w=aLu5dY  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 N8DouDq  
Change in Focus                :       0.000000                            0.000000 E#Ol{
6  
Decenter Y tolerance on surface 2 o;21|[z  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 qDcoccEf  
Change in Focus                :       0.000000                            0.000000 ?zf3AZ9  
Tilt X tolerance on surface (degrees) 2 Res4;C  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 BSL+Gjj~}  
Change in Focus                :       0.000000                            0.000000 ??P%.  
Tilt Y tolerance on surface (degrees) 2 IBUFXzl  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 >2F9Tz,3  
Change in Focus                :       0.000000                            0.000000 #ro$$I;  
Decenter X tolerance on surface 3 nvA7eTO6C  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 &Xc=PQ:I  
Change in Focus                :       0.000000                            0.000000 hkRqtpYK  
Decenter Y tolerance on surface 3 x=-(p}0o;<  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 96S$Y~G#&  
Change in Focus                :       0.000000                            0.000000 ,g4T>7`&U%  
Tilt X tolerance on surface (degrees) 3 v(6[z)A0  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 lbGPy'h<rt  
Change in Focus                :       0.000000                            0.000000 &-!$qUli  
Tilt Y tolerance on surface (degrees) 3 mM~&mAa+Z  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 E@6gTx*  
Change in Focus                :       0.000000                            0.000000 b|*+!v:I>T  
Irregularity of surface 1 in fringes F8#MI G   
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 1]Cdfj6@  
Change in Focus                :       0.000000                            0.000000 D2J)qCK1)  
Irregularity of surface 2 in fringes J*_^~t  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 \6bvk_
 
Change in Focus                :       0.000000                            0.000000  6@"E*-z$  
Irregularity of surface 3 in fringes JDW/Mc1bh  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 ^/cqE[V~,  
Change in Focus                :       0.000000                            0.000000 M`7[hr  
Index tolerance on surface 1 ?B@3A)
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TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 pNZ3vTs6  
Change in Focus                :       0.000000                            0.000000 !/ dH"h  
Index tolerance on surface 2 s8'!1rHd  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 ko|M2\  
Change in Focus                :       0.000000                           -0.000000 IwOL1\'T4  
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Worst offenders: `GlOl-  
Type                      Value      Criterion        Change 72
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TSTY   2            -0.20000000     0.35349910    -0.19053324 4"\x#  
TSTY   2             0.20000000     0.35349910    -0.19053324 K7C!ZXw~  
TSTX   2            -0.20000000     0.35349910    -0.19053324 {NcJL< ;tS  
TSTX   2             0.20000000     0.35349910    -0.19053324 :hcOceNz  
TSTY   1            -0.20000000     0.42678383    -0.11724851 w `+.F;}s  
TSTY   1             0.20000000     0.42678383    -0.11724851 Ups0Xg&{  
TSTX   1            -0.20000000     0.42678383    -0.11724851 F/,6Jh  
TSTX   1             0.20000000     0.42678383    -0.11724851 $5\!ws<cZ  
TSTY   3            -0.20000000     0.42861670    -0.11541563 KS1udH^Zc  
TSTY   3             0.20000000     0.42861670    -0.11541563 g-,lY|a  
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Estimated Performance Changes based upon Root-Sum-Square method: ;#+I"Ow  
Nominal MTF                 :     0.54403234 )T?BO  
Estimated change            :    -0.36299231 (D6ks5Uui  
Estimated MTF               :     0.18104003 >DbG )0|  
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Compensator Statistics: $at\aJ  
Change in back focus: & P%#  
Minimum            :        -0.000000 }D`ZWTjDay  
Maximum            :         0.000000 `Y+R9bd  
Mean               :        -0.000000 [z"oi'"fQ  
Standard Deviation :         0.000000 r\}?HS06  
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Monte Carlo Analysis: :4x6dYNU  
Number of trials: 20 F_i"v5#  
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Initial Statistics: Normal Distribution ZoYllk   
1
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  Trial       Criterion        Change BHS@whj  
      1     0.42804416    -0.11598818 ,Z :2ba  
Change in Focus                :      -0.400171 Q[%G`;e#  
      2     0.54384387    -0.00018847 S,udpQ7  
Change in Focus                :       1.018470 j^v<rCzc(  
      3     0.44510003    -0.09893230 /?0|hi<_$  
Change in Focus                :      -0.601922 B.smQt  
      4     0.18154684    -0.36248550 ,_/\pX0  
Change in Focus                :       0.920681 Nf2lw]-G4  
      5     0.28665820    -0.25737414 2yD ?f8P4  
Change in Focus                :       1.253875 Z-pZyDz  
      6     0.21263372    -0.33139862 1|s`z  
Change in Focus                :      -0.903878 +?*.Emzl@  
      7     0.40051424    -0.14351809 TKbfZw  
Change in Focus                :      -1.354815 __1Hx?f  
      8     0.48754161    -0.05649072 T+t7/PwC;  
Change in Focus                :       0.215922 90,UhNz9D  
      9     0.40357468    -0.14045766 UUM:*X  
Change in Focus                :       0.281783 4~&X]/_'  
     10     0.26315315    -0.28087919 p&0 G  
Change in Focus                :      -1.048393 /J Y6S  
     11     0.26120585    -0.28282649 >WJQxL4  
Change in Focus                :       1.017611 Sn 7h$  
     12     0.24033815    -0.30369419 :oYSvK7>  
Change in Focus                :      -0.109292 U#sv.r/L}3  
     13     0.37164046    -0.17239188 (Rp5g}b  
Change in Focus                :      -0.692430 p2fzbBt  
     14     0.48597489    -0.05805744 )7-mALyW  
Change in Focus                :      -0.662040 1K)9fMr]  
     15     0.21462327    -0.32940907 .QA1'_9  
Change in Focus                :       1.611296 =h?%<2t9<  
     16     0.43378226    -0.11025008 /UY'E<wBx  
Change in Focus                :      -0.640081 Jk:ZO|'Z  
     17     0.39321881    -0.15081353 'P
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Change in Focus                :       0.914906 cG3tn&AXi  
     18     0.20692530    -0.33710703 h/y0Q~|/d  
Change in Focus                :       0.801607 M0e&GR8<z>  
     19     0.51374068    -0.03029165 s<:);-tL  
Change in Focus                :       0.947293 (KfQ'B+  
     20     0.38013374    -0.16389860 x%T^:R  
Change in Focus                :       0.667010 0R0_UvsXU  
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Number of traceable Monte Carlo files generated: 20 EFu$>Z4  
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Nominal     0.54403234 M?<iQxtyb}  
Best        0.54384387    Trial     2 2#CN:b]+  
Worst       0.18154684    Trial     4 7TU77  
Mean        0.35770970 q1 BpE8  
Std Dev     0.11156454 m(5LXHJnv  
%m/5! "  
hY
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Compensator Statistics: 1N{ >00  
Change in back focus: pN)>c,  
Minimum            :        -1.354815 . S;o#Zw*R  
Maximum            :         1.611296 ^)$T`  
Mean               :         0.161872 R!\._m?\h  
Standard Deviation :         0.869664 z,@R jaX  
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90% >       0.20977951               EpCNp FQT<  
80% >       0.22748071               :9q|
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50% >       0.38667627               p_fsEY  
20% >       0.46553746               mZ3Z8q}%P  
10% >       0.50064115                !wKN
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End of Run. Fa
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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 .Rb1%1bdc  

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 ~X'hRNFx~  
3.=o}!  
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                 HLq2avs\  
80% >       0.22748071                 o'YK\L!p  
50% >       0.38667627                 >[P`$XkXd4  
20% >       0.46553746                 id1gK(F8H  
10% >       0.50064115 =Zaw>p*H  
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最后这个数值是MTF值呢，还是MTF的公差？ 'W~6-c9y  
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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？？？   /86PqKU(P  
9tCF m.m  
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  : !sh>`AF  
90% >       0.20977951                 hixG/%aO  
80% >       0.22748071                 PsyXt5Dk  
50% >       0.38667627                 m4'x>Z  
20% >       0.46553746                 }x?2txuu  
10% >       0.50064115 .=/TT|eMS  
....... pLsWy&G  

[Qn$i/`J  
Ydh+iLjhx  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   P] qL&_  
Mode                : Sensitivities Q
<fDtf}  
Sampling            : 2 |)b:@q3k+n  
Nominal Criterion   : 0.54403234 oO&R3z
A1d  
Test Wavelength     : 0.6328 9{XV=a v  
) 0|X];sD  
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？ &a?k1R>  
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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