[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 ^IY1^x  
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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 F8.Fp[_tM  
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图片:2.jpg

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然后运行分析的结果如下： `O-$qT,_  
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Analysis of Tolerances >$k_tC'"  
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File : E:\光学设计资料\zemax练习\f500.ZMX ]hc.cj`\W&  
Title: }m(u oT~  
Date : TUE JUN 21 2011 (eF
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Units are Millimeters. [.;VCk)0x  
All changes are computed using linear differences. l\J
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o=7 -&F.  
Paraxial Focus compensation only. Od)]FvO  
a8Nl' f*0  
WARNING: Solves should be removed prior to tolerancing. ^dld\t:tV7  
M5CFW >T  
Mnemonics: R=xT\i{4h  
TFRN: Tolerance on curvature in fringes. V_$BZm%8J  
TTHI: Tolerance on thickness. vaW,O/F  
TSDX: Tolerance on surface decentering in x. {b}Ri&oEOH  
TSDY: Tolerance on surface decentering in y. 9ssTG4Sa  
TSTX: Tolerance on surface tilt in x (degrees). ^3^n|T7le  
TSTY: Tolerance on surface tilt in y (degrees). P_ U[OM\  
TIRR: Tolerance on irregularity (fringes). LY-
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TIND: Tolerance on Nd index of refraction. `a*[@a#  
TEDX: Tolerance on element decentering in x. k7'_  
TEDY: Tolerance on element decentering in y. mY+Jju1  
TETX: Tolerance on element tilt in x (degrees). g kT`C
  
TETY: Tolerance on element tilt in y (degrees). D<$,v(-  
M|w;7P}  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. 4 bw8^  
@Xts}(L  
WARNING: Boundary constraints on compensators will be ignored. nRzD[3I  
oYG9i=lZ  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm kFg@|#0v9  
Mode                : Sensitivities N`h,2!(j  
Sampling            : 2 %4*-BCP  
Nominal Criterion   : 0.54403234 S-NKT(H)c  
Test Wavelength     : 0.6328 5B< em  
`A_CLVE  
Kc$j<MRtv  
Fields: XY Symmetric Angle in degrees 4V@raI-  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY d="Oge8  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 MqDz cB]  
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Sensitivity Analysis: }6*+>?  
G>&Tap>  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| 2~h! ouleY  
Type                      Value      Criterion        Change          Value      Criterion        Change mnh>gl!l  
Fringe tolerance on surface 1 >x]b"@Hkw  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374  >\6T
m  
Change in Focus                :      -0.000000                            0.000000 4jbqV  
Fringe tolerance on surface 2 hLK5s1#K  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 ux`)jOQ`Y]  
Change in Focus                :       0.000000                            0.000000 ek\8u`GC  
Fringe tolerance on surface 3 3
M\~#>  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 Aru=f~!  
Change in Focus                :      -0.000000                            0.000000 -FftEeo7  
Thickness tolerance on surface 1 pBl'SQccp  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 k<(G)7'gm  
Change in Focus                :       0.000000                            0.000000 Fjch<gAofS  
Thickness tolerance on surface 2 xVw9_il2a  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 =;Ap+}  
Change in Focus                :       0.000000                           -0.000000 R-QSv$  
Decenter X tolerance on surfaces 1 through 3 q#s:2#=  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 ;\-f7!s  
Change in Focus                :       0.000000                            0.000000 UVa:~c$U4  
Decenter Y tolerance on surfaces 1 through 3 a@4 Zx  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 @D1}).  
Change in Focus                :       0.000000                            0.000000 goBl~fqy0  
Tilt X tolerance on surfaces 1 through 3 (degrees) r&!Ebe-  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 \vwsRT 1  
Change in Focus                :       0.000000                            0.000000 iXLODuI  
Tilt Y tolerance on surfaces 1 through 3 (degrees) l Oxz&m  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 wzX(]BG  
Change in Focus                :       0.000000                            0.000000 }9=X*'BO  
Decenter X tolerance on surface 1 0>{&8:  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 T1$=0VSEa+  
Change in Focus                :       0.000000                            0.000000 W;L<zFFbU)  
Decenter Y tolerance on surface 1 E&>3{uZI  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 )bqSM&SO  
Change in Focus                :       0.000000                            0.000000 v<0\+}T1R  
Tilt X tolerance on surface (degrees) 1 'C[{cr.`  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 {o>51fXc)  
Change in Focus                :       0.000000                            0.000000 :DWvH,{+&  
Tilt Y tolerance on surface (degrees) 1 ,j
H<i.2R  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 nUb0R~wr$G  
Change in Focus                :       0.000000                            0.000000 x;N@_FZ7KY  
Decenter X tolerance on surface 2 J n>3c  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 #dO8) t  
Change in Focus                :       0.000000                            0.000000 vtx3a^  
Decenter Y tolerance on surface 2 G42J  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 JJC YM  
Change in Focus                :       0.000000                            0.000000 z3Id8G&>  
Tilt X tolerance on surface (degrees) 2 ;@ <E  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 /6fa 7;  
Change in Focus                :       0.000000                            0.000000 WzinEo{f  
Tilt Y tolerance on surface (degrees) 2 Sjb[v  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 !V.2~V[^M  
Change in Focus                :       0.000000                            0.000000 ?58,Ja  
Decenter X tolerance on surface 3 )\aCeY8o  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 qe/dWJBa  
Change in Focus                :       0.000000                            0.000000 `|
uwR5  
Decenter Y tolerance on surface 3 wmV7g7t6  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 , B90r7K:  
Change in Focus                :       0.000000                            0.000000 zjE|UK{  
Tilt X tolerance on surface (degrees) 3 Th.Mn}1%L  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 +jD*J
tb<  
Change in Focus                :       0.000000                            0.000000 \|@u)n_  
Tilt Y tolerance on surface (degrees) 3 )t#>fnN  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 VsU*yG a  
Change in Focus                :       0.000000                            0.000000 ~SzHIVj:6  
Irregularity of surface 1 in fringes ob.Br:x  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 |7CFm  
Change in Focus                :       0.000000                            0.000000 =# /BCL7  
Irregularity of surface 2 in fringes 0%(.$c>:f  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 h4,g pV>t  
Change in Focus                :       0.000000                            0.000000 OUtXu7E$  
Irregularity of surface 3 in fringes 9B)<7JJX!J  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 w|,BTM:e  
Change in Focus                :       0.000000                            0.000000 B0+r  
Index tolerance on surface 1 l/i7<q  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 5mqwNAv  
Change in Focus                :       0.000000                            0.000000 9cqq"-$G`  
Index tolerance on surface 2 c3__=$)'kP  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 #@UzOQ>  
Change in Focus                :       0.000000                           -0.000000 /_(q7:<ZF  
1CmjEAv%/  
Worst offenders: ~bD'QMk  
Type                      Value      Criterion        Change q?##S'  
TSTY   2            -0.20000000     0.35349910    -0.19053324 <*Bk.>f!  
TSTY   2             0.20000000     0.35349910    -0.19053324 eAl;:0=%L  
TSTX   2            -0.20000000     0.35349910    -0.19053324 zz m[sX}  
TSTX   2             0.20000000     0.35349910    -0.19053324 Gnthz0\]{  
TSTY   1            -0.20000000     0.42678383    -0.11724851 huat,zLS  
TSTY   1             0.20000000     0.42678383    -0.11724851 WU+OS(  
TSTX   1            -0.20000000     0.42678383    -0.11724851 aj`_*T"A  
TSTX   1             0.20000000     0.42678383    -0.11724851 ,9.-A-Yw  
TSTY   3            -0.20000000     0.42861670    -0.11541563 ix+sT|>  
TSTY   3             0.20000000     0.42861670    -0.11541563 V44M=c7E  
#d*)W3e2{  
Estimated Performance Changes based upon Root-Sum-Square method: /idrbc  
Nominal MTF                 :     0.54403234 \- f^C}m  
Estimated change            :    -0.36299231 h0z>dLA#2  
Estimated MTF               :     0.18104003 yx\I&\i  
Yw6^(g8  
Compensator Statistics: BM>'w,$KL  
Change in back focus: Oz1S*<]=,~  
Minimum            :        -0.000000 @%b
&(x^UD  
Maximum            :         0.000000 78UE?) X"  
Mean               :        -0.000000 eqQ=HT7J  
Standard Deviation :         0.000000 cii
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efrVF5,y?  
Monte Carlo Analysis: I&JjyR  
Number of trials: 20 %8
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8`B]UcL)  
Initial Statistics: Normal Distribution cCBYM  
?,z/+/:  
  Trial       Criterion        Change hdN[wC]  
      1     0.42804416    -0.11598818 ?}ly`Js  
Change in Focus                :      -0.400171 &cf(}  
      2     0.54384387    -0.00018847 #`o]{UfW  
Change in Focus                :       1.018470 GX#SCZ&}C  
      3     0.44510003    -0.09893230 _j sJS<21  
Change in Focus                :      -0.601922 | k?r1dj%O  
      4     0.18154684    -0.36248550 OzA'd\|  
Change in Focus                :       0.920681 $'%.w|MJp  
      5     0.28665820    -0.25737414 ,a'Y^[4k?  
Change in Focus                :       1.253875 [4 y7tjar^  
      6     0.21263372    -0.33139862 )WH;G:
$&"  
Change in Focus                :      -0.903878 fq<JX5DER  
      7     0.40051424    -0.14351809 ! _p
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Change in Focus                :      -1.354815 d1BE;9*/7  
      8     0.48754161    -0.05649072 TsF>Y""*M  
Change in Focus                :       0.215922 Q4h6K7  
      9     0.40357468    -0.14045766 Op5S
'  
Change in Focus                :       0.281783 2Fc>6]:*  
     10     0.26315315    -0.28087919 [Ol~}@gV  
Change in Focus                :      -1.048393 'Da*MGu9  
     11     0.26120585    -0.28282649 nm#,oX2C  
Change in Focus                :       1.017611 G7NRpr  
     12     0.24033815    -0.30369419 M37GQvo   
Change in Focus                :      -0.109292 RAU"  
     13     0.37164046    -0.17239188 b]6@ O8  
Change in Focus                :      -0.692430 $_f"NE}  
     14     0.48597489    -0.05805744 d}^G790  
Change in Focus                :      -0.662040 @/W~lJ!e  
     15     0.21462327    -0.32940907  /C   
Change in Focus                :       1.611296 Xy]Pmt  
     16     0.43378226    -0.11025008 N%Uk/ c'  
Change in Focus                :      -0.640081 UUR+PfY  
     17     0.39321881    -0.15081353 !g7lJ\
B  
Change in Focus                :       0.914906 {'a
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     18     0.20692530    -0.33710703 uD4j.%  
Change in Focus                :       0.801607 vf;&0j&`  
     19     0.51374068    -0.03029165 &>A<{J@VL  
Change in Focus                :       0.947293 ]x5+v0  
     20     0.38013374    -0.16389860 ?k$'po*Eq  
Change in Focus                :       0.667010 h,zM*zA_  
*ry}T=  
Number of traceable Monte Carlo files generated: 20 YhQ%S}  
CmxQb,Uls  
Nominal     0.54403234 m[DCA\Mo@  
Best        0.54384387    Trial     2 `6xr:s  
Worst       0.18154684    Trial     4 @hw
e  
Mean        0.35770970 7m4*dBTr  
Std Dev     0.11156454 Yfr4<;%  
I7XJPc4}   
g[Q+DT  
Compensator Statistics: +3[8EM#g  
Change in back focus: '!<gPAVTzV  
Minimum            :        -1.354815 ;<l#k7/  
Maximum            :         1.611296 I
Xv9mr?H}  
Mean               :         0.161872 Q.,2G7[ <  
Standard Deviation :         0.869664 2rxz<ck(  
p(!d,YSE  
90% >       0.20977951               l
 i) 5o  
80% >       0.22748071               \b*z<Odv  
50% >       0.38667627               (vFO'jtcB-  
20% >       0.46553746               v>/_U  
10% >       0.50064115                4n} a%ocv^  
A
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End of Run. SS6K7  
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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 d
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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 /B<QYvv  
.Ta(v3om%  
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                 =*R6O,  
80% >       0.22748071                 _+X-D9j(l  
50% >       0.38667627                 THARr#1b};  
20% >       0.46553746                 l
0U23i  
10% >       0.50064115 ^HxIy;EQ<z  
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最后这个数值是MTF值呢，还是MTF的公差？ !hFhw1  
SsPZva  
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？？？   *%Fu/  
Sy']fGvx  
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  : Ml7 (<J  
90% >       0.20977951                 d&[RfZ`  
80% >       0.22748071                 h%krA<G9  
50% >       0.38667627                 IHYLM;@L  
20% >       0.46553746                 6,aH[>W  
10% >       0.50064115 @p L9a1PJv  
....... bh<;px-  

fEX=csZ86  
o87kF!x  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   "FWx;65CR  
Mode                : Sensitivities RqtBz3v  
Sampling            : 2 njF$1? )sq  
Nominal Criterion   : 0.54403234 `oJQA$UD  
Test Wavelength     : 0.6328 yGdX>h  
=/!lK&  
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？ _x!idf  
UqOBr2UmG  
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