[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 ,0[bzk  
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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 1}}.e^Tsfr  
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图片:2.jpg

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然后运行分析的结果如下： 'RC(ss1G  
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Analysis of Tolerances 50F6jj  
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File : E:\光学设计资料\zemax练习\f500.ZMX XTUxMdN  
Title: *1$rg?yGf  
Date : TUE JUN 21 2011 S`)KC-  
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Units are Millimeters. W7c(] tg.  
All changes are computed using linear differences. F<M#T  
qH: ` O%,  
Paraxial Focus compensation only. N4}j,{#  
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WARNING: Solves should be removed prior to tolerancing. $pyM<:*L&<  
- /]ro8V$  
Mnemonics: H 0aDWFWS  
TFRN: Tolerance on curvature in fringes. ]8NNxaE3(  
TTHI: Tolerance on thickness. |CexP^;!U  
TSDX: Tolerance on surface decentering in x. 5wmH3g#0  
TSDY: Tolerance on surface decentering in y. Z2_eTC u  
TSTX: Tolerance on surface tilt in x (degrees). Q.*qU,4);  
TSTY: Tolerance on surface tilt in y (degrees). :z_D?UQ  
TIRR: Tolerance on irregularity (fringes). s/Fc7V!;  
TIND: Tolerance on Nd index of refraction. |"8Az0[!  
TEDX: Tolerance on element decentering in x. |FHeT*"  
TEDY: Tolerance on element decentering in y. m"t\@f  
TETX: Tolerance on element tilt in x (degrees). B;r U  
TETY: Tolerance on element tilt in y (degrees). <N}UwB&  
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WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. (\{9W  
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WARNING: Boundary constraints on compensators will be ignored. o3P`y:&  

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Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm F#Uxl%h  
Mode                : Sensitivities O8(;=exA  
Sampling            : 2 @s}I_@  
Nominal Criterion   : 0.54403234 *6sB$E_y  
Test Wavelength     : 0.6328 9$c0<~B\  
UTGR{>=>  
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Fields: XY Symmetric Angle in degrees ^3B{|cqf  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY FbO-K-  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 {+r pMUs#  
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Sensitivity Analysis: ,UopGlA ,  
*v)JX _  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| iJv4%|9  
Type                      Value      Criterion        Change          Value      Criterion        Change y44FejH(v  
Fringe tolerance on surface 1 ywXerz7dUk  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 S5*wUd*p#  
Change in Focus                :      -0.000000                            0.000000 B$1nq#@  
Fringe tolerance on surface 2 .7++wo!,  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 nud,ag  
Change in Focus                :       0.000000                            0.000000 Po'yr]pr  
Fringe tolerance on surface 3 C18pK8-  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 _v{,vLH  
Change in Focus                :      -0.000000                            0.000000 ^N#kW-i  
Thickness tolerance on surface 1 ;2q;RT`h  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 /6B!&b2f  
Change in Focus                :       0.000000                            0.000000 HK)$ls  
Thickness tolerance on surface 2 I~\j%zD  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 .\= GfF'  
Change in Focus                :       0.000000                           -0.000000 gRIRc4p  
Decenter X tolerance on surfaces 1 through 3 IzF7W?k  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 ;X<#y2`  
Change in Focus                :       0.000000                            0.000000 Ck8`$x&t  
Decenter Y tolerance on surfaces 1 through 3 h@=H7oV7k  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 zDeh#  
Change in Focus                :       0.000000                            0.000000 EKZ40z`  
Tilt X tolerance on surfaces 1 through 3 (degrees) dRTtDH"%  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 !SEHDRp  
Change in Focus                :       0.000000                            0.000000 .%_scNP  
Tilt Y tolerance on surfaces 1 through 3 (degrees) U~-Z`_@^-  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 %Ez%pT0TQ#  
Change in Focus                :       0.000000                            0.000000 A^ $9[_  
Decenter X tolerance on surface 1 6[,*2a8  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 m663%b(5>  
Change in Focus                :       0.000000                            0.000000 I~y[8  
Decenter Y tolerance on surface 1 9_V'P]@  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 p)vyZY[  
Change in Focus                :       0.000000                            0.000000 \!j{&cJ  
Tilt X tolerance on surface (degrees) 1 XmXp0b7  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 &1YAPxX  
Change in Focus                :       0.000000                            0.000000 XKN`{h-@  
Tilt Y tolerance on surface (degrees) 1 7\@[e, ^9  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 dy N`9  
Change in Focus                :       0.000000                            0.000000 fT [JU1  
Decenter X tolerance on surface 2 _;3xG0+  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 YqX/7b+  
Change in Focus                :       0.000000                            0.000000 |VbF&*v`  
Decenter Y tolerance on surface 2 YdX#`  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 <\!+J\YTA  
Change in Focus                :       0.000000                            0.000000 %>`0hk88  
Tilt X tolerance on surface (degrees) 2 Rd|};-  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 W=41jw  
Change in Focus                :       0.000000                            0.000000 (.4mX t  
Tilt Y tolerance on surface (degrees) 2 +Rn]6}5m\  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 ; S7 %  
Change in Focus                :       0.000000                            0.000000 fQRGz\r*k  
Decenter X tolerance on surface 3 ^dFdw\  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 !:t}8  
Change in Focus                :       0.000000                            0.000000 tNg}:a|J  
Decenter Y tolerance on surface 3 ,!_$A}@0 ^  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 M@EML @~  
Change in Focus                :       0.000000                            0.000000 {rQ6IV3=  
Tilt X tolerance on surface (degrees) 3 e84[B.  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 XBe!9/'k>  
Change in Focus                :       0.000000                            0.000000 ax0RtqtR&  
Tilt Y tolerance on surface (degrees) 3 hz{=@jX  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 uq~$HXd
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Change in Focus                :       0.000000                            0.000000 &+;z`A'|8  
Irregularity of surface 1 in fringes wZ/Zc} .  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 *t.L` G  
Change in Focus                :       0.000000                            0.000000 Jj4!O3\I  
Irregularity of surface 2 in fringes ' _Ij9{M  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 ,0O9!^  
Change in Focus                :       0.000000                            0.000000 (b%&DyOt  
Irregularity of surface 3 in fringes p9rnhqH6  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 h'YC!hjp  
Change in Focus                :       0.000000                            0.000000 |1C=Ow*"  
Index tolerance on surface 1 $,Y\  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 {eA0I\c(C  
Change in Focus                :       0.000000                            0.000000 .<566g}VP  
Index tolerance on surface 2 $K>'aI;|  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 |n3fAN  
Change in Focus                :       0.000000                           -0.000000 eFS;+?bu  
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Worst offenders: L;$Gn
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Type                      Value      Criterion        Change 1uBnU2E  
TSTY   2            -0.20000000     0.35349910    -0.19053324 $\?BAkx  
TSTY   2             0.20000000     0.35349910    -0.19053324 }@%A@A{R  
TSTX   2            -0.20000000     0.35349910    -0.19053324 sc dU  
TSTX   2             0.20000000     0.35349910    -0.19053324 },G6IuH%  
TSTY   1            -0.20000000     0.42678383    -0.11724851 Bc3(xI'>J  
TSTY   1             0.20000000     0.42678383    -0.11724851 sT:$:=  
TSTX   1            -0.20000000     0.42678383    -0.11724851 ``KimeA~  
TSTX   1             0.20000000     0.42678383    -0.11724851 " UaUaSg#  
TSTY   3            -0.20000000     0.42861670    -0.11541563 9nF;$HB  
TSTY   3             0.20000000     0.42861670    -0.11541563 AX3iB1):K  
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Estimated Performance Changes based upon Root-Sum-Square method: gz8>uGx&V!  
Nominal MTF                 :     0.54403234 :H($|$\h  
Estimated change            :    -0.36299231 YLs%u=e($  
Estimated MTF               :     0.18104003 TpXbJ]o9  
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Compensator Statistics: :k9n 9  
Change in back focus: 
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Minimum            :        -0.000000 {`~uBz+dJq  
Maximum            :         0.000000 <Vucr   
Mean               :        -0.000000 %GS^=Qr  
Standard Deviation :         0.000000 s/#L?[YH  
B^Y AKbY  
Monte Carlo Analysis: {jB& e,  
Number of trials: 20 )fSO|4  
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Initial Statistics: Normal Distribution eT8(O36%  
~nO]R   
  Trial       Criterion        Change j6x1JM  
      1     0.42804416    -0.11598818 #nG?}*#  
Change in Focus                :      -0.400171 Sh&n DdF"  
      2     0.54384387    -0.00018847 $OEhdz&Fi  
Change in Focus                :       1.018470 !Ab4'4f  
      3     0.44510003    -0.09893230 _Q&O#
f  
Change in Focus                :      -0.601922 BPRhGG|9j
 
      4     0.18154684    -0.36248550 qy@v,a  
Change in Focus                :       0.920681 h\C" ti2  
      5     0.28665820    -0.25737414 ^yLiyRe\  
Change in Focus                :       1.253875 JBzRL"|  
      6     0.21263372    -0.33139862 e<F>u#d  
Change in Focus                :      -0.903878 @~WSWlQW  
      7     0.40051424    -0.14351809 ~Q<h,P  
Change in Focus                :      -1.354815 #r{`Iv?nn  
      8     0.48754161    -0.05649072 I!\;NVhv  
Change in Focus                :       0.215922 ^|Bpo(  
      9     0.40357468    -0.14045766 7bcl^~lY  
Change in Focus                :       0.281783 4r
Xjso|  
     10     0.26315315    -0.28087919 qu>5 rg-  
Change in Focus                :      -1.048393 ;&="aD  
     11     0.26120585    -0.28282649 TNgf96) y  
Change in Focus                :       1.017611 n`'v8 `a]  
     12     0.24033815    -0.30369419 S#gIfb<D  
Change in Focus                :      -0.109292 `*?8<Vm  
     13     0.37164046    -0.17239188 m]}%Ag^x  
Change in Focus                :      -0.692430 C|"BMam  
     14     0.48597489    -0.05805744 uh,~CvXU]  
Change in Focus                :      -0.662040 6k14xPj  
     15     0.21462327    -0.32940907 dt -EY  
Change in Focus                :       1.611296 c;RB!`9"  
     16     0.43378226    -0.11025008 u~ %xU~v  
Change in Focus                :      -0.640081 g$=y#<2?  
     17     0.39321881    -0.15081353 eAkC-Fm  
Change in Focus                :       0.914906 tzl`|UwF  
     18     0.20692530    -0.33710703 `bXP )$  
Change in Focus                :       0.801607 Fh)`A5#  
     19     0.51374068    -0.03029165 #p<1@,  
Change in Focus                :       0.947293 4(2iR0N  
     20     0.38013374    -0.16389860 [}p/pj=  
Change in Focus                :       0.667010 X MkyX&y  
fK-tvP0}*  
Number of traceable Monte Carlo files generated: 20 LojE
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bBwMx{iNNz  
Nominal     0.54403234 Ed&;d+NM  
Best        0.54384387    Trial     2 kd0~@rPL  
Worst       0.18154684    Trial     4 Z]Zs"$q@  
Mean        0.35770970 z>n<+tso  
Std Dev     0.11156454 ,Oqd4NS  
gW0{s[}T  
JI&ik_k3  
Compensator Statistics: RDFOUqS  
Change in back focus: 3WH"NC-O<  
Minimum            :        -1.354815 |ji={  
Maximum            :         1.611296 1w30Vj2<  
Mean               :         0.161872 <W$Ig@4[.d  
Standard Deviation :         0.869664 KDt@Xi6||  
4JOw@/nE  
90% >       0.20977951               D4';QCwo  
80% >       0.22748071               .W[[Z;D  
50% >       0.38667627               nMz~.^Q-  
20% >       0.46553746               Kr;7
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10% >       0.50064115                >9?BJv2  
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End of Run. e+_~a8 -|  
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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 (C1@f!Z  

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 Y(:.f-Du  
#zRT  
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                 !3E %u$-}  
80% >       0.22748071                 Q@7-UIV|q  
50% >       0.38667627                 `2 vv8cg^  
20% >       0.46553746                 t1y hU"(J  
10% >       0.50064115 aN87^[  
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最后这个数值是MTF值呢，还是MTF的公差？ *2$I, ~(P  
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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"7l<y5  
ujo3"j[b  
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  : a88(,:t  
90% >       0.20977951                 REyk,s2"6  
80% >       0.22748071                 $6BD6\@  
50% >       0.38667627                 B&l5yI b  
20% >       0.46553746                 gFJ. p  
10% >       0.50064115 rKlu+/G  
....... x Z3b)j2D  

cx]&ae*  
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这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   jU1([(?"  
Mode                : Sensitivities `0@onDQVc=  
Sampling            : 2 7$ vs X  
Nominal Criterion   : 0.54403234 o%ZtE  
Test Wavelength     : 0.6328 }Y/uU"t  
A}(&At%n4  
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？ B}Q.Is5  
D4e*Wwk  
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