[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 -BfZ P5  
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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 7D\#1h  
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图片:2.jpg

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然后运行分析的结果如下： ${0+LhST  
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Analysis of Tolerances GQhzQM1HS  
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File : E:\光学设计资料\zemax练习\f500.ZMX zD}dvI}  
Title: wr,X@y%(!  
Date : TUE JUN 21 2011 |B<+Y<)f^  
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Units are Millimeters. "]>JtK  
All changes are computed using linear differences. VFz(U)._  
]S9~2;2^,  
Paraxial Focus compensation only. Z2~;u[0a[  

\gaGTc2&  
WARNING: Solves should be removed prior to tolerancing. zRN_`U  
L3iYZ>]  
Mnemonics: GV#"2{t j  
TFRN: Tolerance on curvature in fringes. \_}Y4  
TTHI: Tolerance on thickness. wG[X*/v  
TSDX: Tolerance on surface decentering in x. YbB8D-  
TSDY: Tolerance on surface decentering in y. Uq `B#JI  
TSTX: Tolerance on surface tilt in x (degrees). XSC._)ztEE  
TSTY: Tolerance on surface tilt in y (degrees). ag^EH"%zw  
TIRR: Tolerance on irregularity (fringes). />c F  
TIND: Tolerance on Nd index of refraction. 
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TEDX: Tolerance on element decentering in x. f?kA,!  
TEDY: Tolerance on element decentering in y. \&ra&3o  
TETX: Tolerance on element tilt in x (degrees). #]<j.Fc`  
TETY: Tolerance on element tilt in y (degrees). W(a31d  
W}#eQ|oCV  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. :pj#t$:!  
~K]5`(KV  
WARNING: Boundary constraints on compensators will be ignored. +pp|Qgr 3  
"- @{ )  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm | YmQO#''  
Mode                : Sensitivities (@@t,\iF  
Sampling            : 2 <o,]f E[  
Nominal Criterion   : 0.54403234 C-'n4AY^  
Test Wavelength     : 0.6328 QxG:NN;jW  
H4p N+  
~6L\9B)  
Fields: XY Symmetric Angle in degrees Q$Qs$  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY iV;X``S  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 {eA0I\c(C  
.<566g}VP  
Sensitivity Analysis: $K>'aI;|  
|n3fAN  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| eFS;+?bu  
Type                      Value      Criterion        Change          Value      Criterion        Change Y5e6|b|  
Fringe tolerance on surface 1 U;p"x^U`  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 B 3<T#  
Change in Focus                :      -0.000000                            0.000000 0J7)UqMf.  
Fringe tolerance on surface 2 XMo#LS  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 ':YFm  
Change in Focus                :       0.000000                            0.000000 It>8XKS  
Fringe tolerance on surface 3 0mk-o  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 s)X'PJ0&Bs  
Change in Focus                :      -0.000000                            0.000000 a<-NB9o~v  
Thickness tolerance on surface 1 N GP}Z4  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 l?GN& u  
Change in Focus                :       0.000000                            0.000000 cnJ(Fv_F$  
Thickness tolerance on surface 2 `%_yRJd|;  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 kSj,Pl\NC  
Change in Focus                :       0.000000                           -0.000000 [)UL}vAO\q  
Decenter X tolerance on surfaces 1 through 3 A3D"b9<D  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 :4RD.l  
Change in Focus                :       0.000000                            0.000000 j"o8]UT/  
Decenter Y tolerance on surfaces 1 through 3 5%M '
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TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 d Bn/_  
Change in Focus                :       0.000000                            0.000000 'jh9n7mH  
Tilt X tolerance on surfaces 1 through 3 (degrees) W&>ONo6ki  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 6\"g,f  
Change in Focus                :       0.000000                            0.000000 W2cgxT  
Tilt Y tolerance on surfaces 1 through 3 (degrees) j_L1KB*  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 0\XG;KA  
Change in Focus                :       0.000000                            0.000000 bV c"'RQ  
Decenter X tolerance on surface 1 pJ)PVo\cV  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 :uwB)G  
Change in Focus                :       0.000000                            0.000000 *b#00)d  
Decenter Y tolerance on surface 1 1N8gH&oF
 
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 }>~';l  
Change in Focus                :       0.000000                            0.000000 lS<T|:gz@  
Tilt X tolerance on surface (degrees) 1 $M%<i~VXe&  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 oAaUX
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Change in Focus                :       0.000000                            0.000000 T^FeahA7;  
Tilt Y tolerance on surface (degrees) 1 ,pfHNK-u  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 7;0$UYDU*  
Change in Focus                :       0.000000                            0.000000 <X]'":  
Decenter X tolerance on surface 2 ^f][;>c  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 IJX75hE0g  
Change in Focus                :       0.000000                            0.000000 G-FeDP
  
Decenter Y tolerance on surface 2 MP"Pqt  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 {[B^~Y>Lr  
Change in Focus                :       0.000000                            0.000000 ?+6w8j%\  
Tilt X tolerance on surface (degrees) 2 c*F'x-TH  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 |ci1P[y  
Change in Focus                :       0.000000                            0.000000 l6o?(!:!%  
Tilt Y tolerance on surface (degrees) 2 mx\b6w7  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 7O)j]eeoL  
Change in Focus                :       0.000000                            0.000000 NlLgXn!  
Decenter X tolerance on surface 3 OJX* :Q  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 PeCU V6  
Change in Focus                :       0.000000                            0.000000 bWp4
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Decenter Y tolerance on surface 3 4-ijuqjN  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 k)l*L1Y4:  
Change in Focus                :       0.000000                            0.000000 C|"BMam  
Tilt X tolerance on surface (degrees) 3 MZ9{*y[z  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 6k14xPj  
Change in Focus                :       0.000000                            0.000000 dt -EY  
Tilt Y tolerance on surface (degrees) 3 c;RB!`9"  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 u~ %xU~v  
Change in Focus                :       0.000000                            0.000000 g$=y#<2?  
Irregularity of surface 1 in fringes Ekq&.qjYG"  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 f~bZTf  
Change in Focus                :       0.000000                            0.000000 & QO9/!  
Irregularity of surface 2 in fringes "Yh[-[,  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 5Z (1&  
Change in Focus                :       0.000000                            0.000000 x[%z \  
Irregularity of surface 3 in fringes w?u4-GT  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 X0G Mly  
Change in Focus                :       0.000000                            0.000000 f9`F~6$  
Index tolerance on surface 1 N%3 G\|~Q  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 ^uG^XY&ItC  
Change in Focus                :       0.000000                            0.000000 >|Xy'ZR  
Index tolerance on surface 2 <qGVO
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TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 Xgq-r $O2X  
Change in Focus                :       0.000000                           -0.000000 ;;6e t/8  
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Worst offenders: 0W}iKT[Z  
Type                      Value      Criterion        Change ' pnkm0=`  
TSTY   2            -0.20000000     0.35349910    -0.19053324 SM3qPlsF  
TSTY   2             0.20000000     0.35349910    -0.19053324 X{8/]'(  
TSTX   2            -0.20000000     0.35349910    -0.19053324 +Ndo$|XCy]  
TSTX   2             0.20000000     0.35349910    -0.19053324 4q<LNv
JA  
TSTY   1            -0.20000000     0.42678383    -0.11724851 bKAR}JM&  
TSTY   1             0.20000000     0.42678383    -0.11724851 ,ypD0Q   
TSTX   1            -0.20000000     0.42678383    -0.11724851 $x%3^{G  
TSTX   1             0.20000000     0.42678383    -0.11724851 a?^xEye  
TSTY   3            -0.20000000     0.42861670    -0.11541563 x{=@~c%eh  
TSTY   3             0.20000000     0.42861670    -0.11541563 ZH@BHg|}H  
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Estimated Performance Changes based upon Root-Sum-Square method: |dP[_nh?  
Nominal MTF                 :     0.54403234 G"_ 8`l  
Estimated change            :    -0.36299231 K/^70;/!.  
Estimated MTF               :     0.18104003 D7'P^*4_B  
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Compensator Statistics: jg,oGtRz  
Change in back focus: 6Vq]AQx  
Minimum            :        -0.000000 HizMjJ|  
Maximum            :         0.000000 {9 PeBc  
Mean               :        -0.000000 /CXrxeo  
Standard Deviation :         0.000000 -~wGJM VA  
L%3m_'6QP  
Monte Carlo Analysis: ,{KjVv<  
Number of trials: 20 w-[A"M]I  
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Initial Statistics: Normal Distribution >'qkW$-95  
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  Trial       Criterion        Change > `uk2QdC  
      1     0.42804416    -0.11598818 {e>E4(  
Change in Focus                :      -0.400171 #5Zf6w  
      2     0.54384387    -0.00018847 ]GSs{'UhB  
Change in Focus                :       1.018470 3n\eCdV-b<  
      3     0.44510003    -0.09893230 `63?FzTy  
Change in Focus                :      -0.601922 X?RnP3t~  
      4     0.18154684    -0.36248550 \5k^zGF4o  
Change in Focus                :       0.920681 ao@"j}c  
      5     0.28665820    -0.25737414 &n5Lc`  
Change in Focus                :       1.253875 CB76  
      6     0.21263372    -0.33139862 z j[/~I  
Change in Focus                :      -0.903878 '[XtARtY`  
      7     0.40051424    -0.14351809 'Z<V(;W  
Change in Focus                :      -1.354815 ?2;gmZd7  
      8     0.48754161    -0.05649072 )v4?+$g  
Change in Focus                :       0.215922 {;iG}jK  
      9     0.40357468    -0.14045766 Hg~O0p}[  
Change in Focus                :       0.281783 f/_RtOSw  
     10     0.26315315    -0.28087919 `0]kRA8=  
Change in Focus                :      -1.048393 L}>XH*  
     11     0.26120585    -0.28282649 E0g` xf6c  
Change in Focus                :       1.017611 ~Sr`Tlp  
     12     0.24033815    -0.30369419 p=tj>{  
Change in Focus                :      -0.109292 'CTvKW  
     13     0.37164046    -0.17239188 4bT21J37  
Change in Focus                :      -0.692430 ]A;{D~X^w  
     14     0.48597489    -0.05805744 >o#5tNm  
Change in Focus                :      -0.662040 iMrNp  
     15     0.21462327    -0.32940907 c]qq *k#  
Change in Focus                :       1.611296 c4T8eTKU  
     16     0.43378226    -0.11025008 K#O8P+n5[  
Change in Focus                :      -0.640081 @0XqUcV  
     17     0.39321881    -0.15081353 xz@/^Cj  
Change in Focus                :       0.914906 h{dR)#)GF<  
     18     0.20692530    -0.33710703 B
t8  
Change in Focus                :       0.801607 Z+zx*(X  
     19     0.51374068    -0.03029165 Z#n!=kTTm  
Change in Focus                :       0.947293 {"cS:u  
     20     0.38013374    -0.16389860 (c{<JYEC  
Change in Focus                :       0.667010 oZ)\Ya=  
!9$xfg}  
Number of traceable Monte Carlo files generated: 20 $LS$:%i4  
r%*UU4xvB  
Nominal     0.54403234 AWp{n  
Best        0.54384387    Trial     2 GzJ("RE0)v  
Worst       0.18154684    Trial     4 gtc
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Mean        0.35770970 |j[=uS  
Std Dev     0.11156454 YQB.3  
JN9 W:X.  
sCX
8  
Compensator Statistics: Zcaec#  
Change in back focus: \= M*x  
Minimum            :        -1.354815 F2;k6
M@  
Maximum            :         1.611296 7?@s.Sz|fV  
Mean               :         0.161872
9~6FWBt  
Standard Deviation :         0.869664 !y8/El  
SnMHk3(\  
90% >       0.20977951               rtl|zCst  
80% >       0.22748071               ]F,mj-?4x  
50% >       0.38667627               h\ZnUn_J  
20% >       0.46553746               <i~MBy. (  
10% >       0.50064115                f0 ;Fokt(  
[Rz9Di ;  
End of Run. 3Mvm'T:[  
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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 REyk,s2"6  

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 gFJ. p  
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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                 [P5+}@t  
80% >       0.22748071                 =(ULfz[:  
50% >       0.38667627                 by 'P}  
20% >       0.46553746                 t5r,3x!E  
10% >       0.50064115 jB+K)NXHL  
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最后这个数值是MTF值呢，还是MTF的公差？  .;ptgX  
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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？？？   L: hEt  
[LDV*79Z  
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  : 9j[lr${A  
90% >       0.20977951                 nSMw5  
80% >       0.22748071                 %(f&).W  
50% >       0.38667627                 <xb=.xe  
20% >       0.46553746                 n U0  
10% >       0.50064115 dm;C @.ML  
....... ;nzzt~aCC  

UbWeE,T~S  
hn$l<8=Q_  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   d9@Pze">e  
Mode                : Sensitivities *hm;C+<~  
Sampling            : 2 f( %r)%  
Nominal Criterion   : 0.54403234 e!eUgD  
Test Wavelength     : 0.6328 ~~8?|@V  
[/P}1 c[)U  
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？ E#5$O2b#  
*>=|"ff  
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