[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 ^+?|Qfi  
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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 pw'wWZE'  
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图片:2.jpg

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然后运行分析的结果如下： 9>,Qgp,w  
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Analysis of Tolerances %c^ m\E  
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File : E:\光学设计资料\zemax练习\f500.ZMX o4=Yu7L  
Title: hv)7H)|l~]  
Date : TUE JUN 21 2011 Qu{cB^Ga*  
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Units are Millimeters. N b3$4(F  
All changes are computed using linear differences. 7y*ZXT]f  
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Paraxial Focus compensation only. gp|1?L54  
B94 &elu  
WARNING: Solves should be removed prior to tolerancing. qg,Nb  
@Z\2*1y6  
Mnemonics: X`20f1c6q>  
TFRN: Tolerance on curvature in fringes. rPq<Xb\  
TTHI: Tolerance on thickness. g{pQ4jKF  
TSDX: Tolerance on surface decentering in x. r>qA $zD^  
TSDY: Tolerance on surface decentering in y. ipKG!  
TSTX: Tolerance on surface tilt in x (degrees). ,&a`d}g&G  
TSTY: Tolerance on surface tilt in y (degrees). )wf\F6jN  
TIRR: Tolerance on irregularity (fringes). 7S2C/f  
TIND: Tolerance on Nd index of refraction. |9NIGg'n  
TEDX: Tolerance on element decentering in x. DOL%'k?B  
TEDY: Tolerance on element decentering in y. -4L!k'uR  
TETX: Tolerance on element tilt in x (degrees). )@:l^$x  
TETY: Tolerance on element tilt in y (degrees). $T dC/#7  
9F_6}.O  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. ~-Oa8ww  
?J|4l[x  
WARNING: Boundary constraints on compensators will be ignored. 1 ycc5=.  
(M% ;~y\  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm c>Z*/>~  
Mode                : Sensitivities
q=Xg*PM,  
Sampling            : 2 rpU/s@%L  
Nominal Criterion   : 0.54403234 , Fytk34  
Test Wavelength     : 0.6328 Sr y,@p)  

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Fields: XY Symmetric Angle in degrees ?e
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#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY I5pp "*u  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 ]O@"\_}  
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Sensitivity Analysis: mCb 9*|  
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                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| lIDl1Z@Z  
Type                      Value      Criterion        Change          Value      Criterion        Change 6/y*2z;  
Fringe tolerance on surface 1 ?6:cNdN  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 8gpBz'/,  
Change in Focus                :      -0.000000                            0.000000 FP;":iRL  
Fringe tolerance on surface 2 {,V$*  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 q,,j',8kq/  
Change in Focus                :       0.000000                            0.000000 ;6<zjV7}  
Fringe tolerance on surface 3 +sn2Lw!^  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 T7GQ^WnA  
Change in Focus                :      -0.000000                            0.000000 eti9nPjG  
Thickness tolerance on surface 1 jyjQzt >\  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 UA0tFeH  
Change in Focus                :       0.000000                            0.000000 ?Y!U*& 7  
Thickness tolerance on surface 2 RSH/l;ii  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 !1-&Y'+  
Change in Focus                :       0.000000                           -0.000000 i
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Decenter X tolerance on surfaces 1 through 3 |4xo4%BQ>  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 W8.j/K:  
Change in Focus                :       0.000000                            0.000000 6e:P.HqjA  
Decenter Y tolerance on surfaces 1 through 3 H0tF  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 83?1<v0%  
Change in Focus                :       0.000000                            0.000000 l4`^!  
Tilt X tolerance on surfaces 1 through 3 (degrees) "w^Nu6  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 " ~n3iNkP  
Change in Focus                :       0.000000                            0.000000 lu3.KOD/  
Tilt Y tolerance on surfaces 1 through 3 (degrees) E(/ sXji!  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 rys<-i(  
Change in Focus                :       0.000000                            0.000000 ruHrv"29  
Decenter X tolerance on surface 1 iwkJ~(5z  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 GXEcpc08  
Change in Focus                :       0.000000                            0.000000 5\?3$<1I  
Decenter Y tolerance on surface 1 d qpgf@  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 @{bb'q['@  
Change in Focus                :       0.000000                            0.000000 9i[4"&K  
Tilt X tolerance on surface (degrees) 1 uri*lC  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 ^cb)f_90  
Change in Focus                :       0.000000                            0.000000 u !.DnKu  
Tilt Y tolerance on surface (degrees) 1 cI3KB-lM#  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 M4H"].Zm  
Change in Focus                :       0.000000                            0.000000 eRVY.E<  
Decenter X tolerance on surface 2 uA
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TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 9RB`$5F;  
Change in Focus                :       0.000000                            0.000000 z1}1*F"  
Decenter Y tolerance on surface 2 9C?cm:  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 4n4j=x]@  
Change in Focus                :       0.000000                            0.000000 NJ>,'s  
Tilt X tolerance on surface (degrees) 2 Zr9d&|$  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 $*i7?S@~-  
Change in Focus                :       0.000000                            0.000000 cLHF9B5  
Tilt Y tolerance on surface (degrees) 2 )8bFGX7|  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 /o\U/I  
Change in Focus                :       0.000000                            0.000000 T(&kXMaB  
Decenter X tolerance on surface 3 A~XOK;sB  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 C;%Y\S  
Change in Focus                :       0.000000                            0.000000 1h{>[ 'L  
Decenter Y tolerance on surface 3 >.n;mk  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 5<^'Cy
 
Change in Focus                :       0.000000                            0.000000
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Tilt X tolerance on surface (degrees) 3 44Q9*."  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 )]tvwEo  
Change in Focus                :       0.000000                            0.000000 p}&Md-$1  
Tilt Y tolerance on surface (degrees) 3 {GK(fBE  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 quY "  
Change in Focus                :       0.000000                            0.000000 u8^Y,LN  
Irregularity of surface 1 in fringes OH0S2?,{>  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 [jy0@Q9  
Change in Focus                :       0.000000                            0.000000 =g >.X9lr  
Irregularity of surface 2 in fringes ]79~:m[C  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 x'zihDOI  
Change in Focus                :       0.000000                            0.000000 CJm.K  
Irregularity of surface 3 in fringes / =-6:L  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 &0JK38(  
Change in Focus                :       0.000000                            0.000000 v7L"`  
Index tolerance on surface 1 ?Q;kZmQl  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 g;l'VA3v  
Change in Focus                :       0.000000                            0.000000 MSK'2+1T@g  
Index tolerance on surface 2 Q:pzL "bT  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 .#sz|0  
Change in Focus                :       0.000000                           -0.000000 ,TEuM|  
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Worst offenders: epn#qeX  
Type                      Value      Criterion        Change {s,^b|I2#U  
TSTY   2            -0.20000000     0.35349910    -0.19053324 amMjuyW  
TSTY   2             0.20000000     0.35349910    -0.19053324 C1KfXC*|L  
TSTX   2            -0.20000000     0.35349910    -0.19053324 qw5&Y$((  
TSTX   2             0.20000000     0.35349910    -0.19053324 "Wo
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TSTY   1            -0.20000000     0.42678383    -0.11724851 Y~:
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TSTY   1             0.20000000     0.42678383    -0.11724851 OI*ZVD)J  
TSTX   1            -0.20000000     0.42678383    -0.11724851 KS b(R/T  
TSTX   1             0.20000000     0.42678383    -0.11724851 <D~6v2$  
TSTY   3            -0.20000000     0.42861670    -0.11541563 gxI&f  
TSTY   3             0.20000000     0.42861670    -0.11541563 ;]{{)dst  
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Estimated Performance Changes based upon Root-Sum-Square method: ;CA ?eI  
Nominal MTF                 :     0.54403234 pF|8OB%  
Estimated change            :    -0.36299231 qZXyi'(d  
Estimated MTF               :     0.18104003 v#iFQVBq  
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Compensator Statistics: {,i=>%X*  
Change in back focus: K2*1T+?X  
Minimum            :        -0.000000 Y 5Qb4Sa  
Maximum            :         0.000000 a#^_"GX  
Mean               :        -0.000000 D*CIE\+  
Standard Deviation :         0.000000 o>0O@NE  
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Monte Carlo Analysis: 4pLQ"&>}80  
Number of trials: 20 8n;kK?  
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Initial Statistics: Normal Distribution
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  Trial       Criterion        Change ]vRVo6@ k  
      1     0.42804416    -0.11598818 Lwp-2`%  
Change in Focus                :      -0.400171 XI]OA7Zis  
      2     0.54384387    -0.00018847 v>rqOI  
Change in Focus                :       1.018470 lr`?yn1D(  
      3     0.44510003    -0.09893230 be&6kG  
Change in Focus                :      -0.601922 MhHr*!N"}  
      4     0.18154684    -0.36248550 CFD*g\g<*  
Change in Focus                :       0.920681 iP2U]d~M  
      5     0.28665820    -0.25737414 |VTWw<{LX  
Change in Focus                :       1.253875 I%
pCm||p  
      6     0.21263372    -0.33139862 {`+bW"9  
Change in Focus                :      -0.903878 W8Ke1(ws&  
      7     0.40051424    -0.14351809 yQ<6p3  
Change in Focus                :      -1.354815 Bh\ [CY  
      8     0.48754161    -0.05649072 d|>9rX+f  
Change in Focus                :       0.215922 zA2UFax=  
      9     0.40357468    -0.14045766 #x, ]D  
Change in Focus                :       0.281783 5OPS&:  
     10     0.26315315    -0.28087919 sXSj OUI  
Change in Focus                :      -1.048393 pZc9q8j3  
     11     0.26120585    -0.28282649 2
dv|6p  
Change in Focus                :       1.017611 yonJd  
     12     0.24033815    -0.30369419  qJsQb  
Change in Focus                :      -0.109292 bs:C1j\&  
     13     0.37164046    -0.17239188 <FXQxM5"  
Change in Focus                :      -0.692430 FI3sLA  
     14     0.48597489    -0.05805744 }W- K  
Change in Focus                :      -0.662040 \%w7D6dEZ  
     15     0.21462327    -0.32940907 j'G"ZPw1  
Change in Focus                :       1.611296 db{NKwpj'  
     16     0.43378226    -0.11025008 cFRSd }p=  
Change in Focus                :      -0.640081 6$W-?  
     17     0.39321881    -0.15081353 2Som0T<2  
Change in Focus                :       0.914906 zb@L)%  
     18     0.20692530    -0.33710703 sqm%iyC=q  
Change in Focus                :       0.801607 ^?H\*N4  
     19     0.51374068    -0.03029165 ]+}:VaeA  
Change in Focus                :       0.947293 ],BJ}~v,X  
     20     0.38013374    -0.16389860 L~^e\^sP  
Change in Focus                :       0.667010 o%kSR ]V|  
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Number of traceable Monte Carlo files generated: 20 _DNkdS [[  
W)6U6  
Nominal     0.54403234 [{6&.v  
Best        0.54384387    Trial     2 PiIp<fJd$  
Worst       0.18154684    Trial     4 NTv#{7q  
Mean        0.35770970 d_4n0Kh0  
Std Dev     0.11156454 t:?<0yfp&  
9`LU=Xv/  
8r7/IGFg  
Compensator Statistics: f9h:"Dnzin  
Change in back focus: )a4E&D  
Minimum            :        -1.354815 G:E+s(x  
Maximum            :         1.611296 ]=$-B  
Mean               :         0.161872 9b{g+lMZo  
Standard Deviation :         0.869664 #J%h!#3g  
dg!1wD  
90% >       0.20977951               X+(aQ >y  
80% >       0.22748071               HB/ _O22  
50% >       0.38667627               /u" cl2|  
20% >       0.46553746               `^s]?  
10% >       0.50064115                2:smt)f  
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End of Run. x9XGCr  
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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 @B>%B EC  

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/uR  
"K4X:|Om"  
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                 i,U-H\p&  
80% >       0.22748071                 !513rNO  
50% >       0.38667627                 XQ|j5]  
20% >       0.46553746                 4*ty&s=5OJ  
10% >       0.50064115 w~
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最后这个数值是MTF值呢，还是MTF的公差？ &55uT;7] a  
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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？？？   BYA=M*f  
A~~|X  
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  : 0~I) /T  
90% >       0.20977951                 !7Q

.w/|=  
80% >       0.22748071                 E52:c]<'m  
50% >       0.38667627                 {>qrf:  
20% >       0.46553746                 Q0cf]  
10% >       0.50064115 6Yi,%#  
....... _rWXcK3cjr  

=:T:9Y_i  
ToCfLJ?{  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   ~wV98u-N  
Mode                : Sensitivities D.JVEKLkU  
Sampling            : 2 '<jp.sZQ  
Nominal Criterion   : 0.54403234 B,qZwc|  
Test Wavelength     : 0.6328 7 @Qlp$[F  
}C1}T}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？ DxG'/5jQ[  
xL#oP0d<e  
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