[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 T= 80,  
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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 f=+
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图片:2.jpg

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然后运行分析的结果如下： +)AG*  
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Analysis of Tolerances ^`i#$  
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File : E:\光学设计资料\zemax练习\f500.ZMX ~p6 V,Q  
Title: ~Py`P'+  
Date : TUE JUN 21 2011 F@D`N0Pte  
+zqn<<9  
Units are Millimeters. ~f2z]JLr:  
All changes are computed using linear differences. "`/h#np  
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Paraxial Focus compensation only. Ot0ap$&  
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WARNING: Solves should be removed prior to tolerancing. #Qw0&kM7I  
{S]}.7`l9(  
Mnemonics: @(w@e\Bq  
TFRN: Tolerance on curvature in fringes. +%z>H"J.  
TTHI: Tolerance on thickness. U7,e/?a  
TSDX: Tolerance on surface decentering in x. Df-DRi  
TSDY: Tolerance on surface decentering in y. b}$+H/V
 
TSTX: Tolerance on surface tilt in x (degrees). f3l&3hC  
TSTY: Tolerance on surface tilt in y (degrees). @Rze| T.  
TIRR: Tolerance on irregularity (fringes). *}qWj_RT  
TIND: Tolerance on Nd index of refraction. b<[Or^X ]  
TEDX: Tolerance on element decentering in x. e-
/&$Qq  
TEDY: Tolerance on element decentering in y. )th<,Lo3#  
TETX: Tolerance on element tilt in x (degrees). 20h} [Q(  
TETY: Tolerance on element tilt in y (degrees). 4/~E4"8  
dA}-]  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. &GO}|W  
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WARNING: Boundary constraints on compensators will be ignored. _IHV7*u{;  
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Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm kOrZv,qFG[  
Mode                : Sensitivities wYXQlxdy  
Sampling            : 2 un"Gozmt5  
Nominal Criterion   : 0.54403234 a#(?P.6  
Test Wavelength     : 0.6328 BN
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IJp-BTO{V  
Fields: XY Symmetric Angle in degrees  #4NaL  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 8mrUotjS  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 oAVnK[EMq`  
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Sensitivity Analysis: 0cH`;!MZ  
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                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| ea2ayT  
Type                      Value      Criterion        Change          Value      Criterion        Change .WJYQi  
Fringe tolerance on surface 1 @Sn(lnlB  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 %g$o/A$  
Change in Focus                :      -0.000000                            0.000000 ,Ks8*;#r  
Fringe tolerance on surface 2 uk:(pZ-uJ  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 :K,i\  
Change in Focus                :       0.000000                            0.000000 OX0%C.K)hZ  
Fringe tolerance on surface 3 vzAaxk%  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 E?f-wQF  
Change in Focus                :      -0.000000                            0.000000 &vMb_;~B  
Thickness tolerance on surface 1 Y;M|D'y+  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 !;v|'I  
Change in Focus                :       0.000000                            0.000000 YQvD|x  
Thickness tolerance on surface 2 B)g[3gQ  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 [=q1T3  
Change in Focus                :       0.000000                           -0.000000 x.6:<y  
Decenter X tolerance on surfaces 1 through 3 M#6W(|V/  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 wH&!W~M  
Change in Focus                :       0.000000                            0.000000 ;(Or`u]Dr  
Decenter Y tolerance on surfaces 1 through 3 s WvBv  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 '3fu  
Change in Focus                :       0.000000                            0.000000 qS$Ox?Bw#u  
Tilt X tolerance on surfaces 1 through 3 (degrees) dt]-,Y  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 L|7R9+ZG  
Change in Focus                :       0.000000                            0.000000 Qx#"q'2  
Tilt Y tolerance on surfaces 1 through 3 (degrees) &i6mW8l  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 9wwqcx)3(  
Change in Focus                :       0.000000                            0.000000 B
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Decenter X tolerance on surface 1 Cctu|^V  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 sY Q
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Change in Focus                :       0.000000                            0.000000 YnAm{YyI  
Decenter Y tolerance on surface 1 J/aC}}5D  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 wKxtre(v  
Change in Focus                :       0.000000                            0.000000 <{cQM$#  
Tilt X tolerance on surface (degrees) 1 \V8PhO;j  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 *Kgks4  
Change in Focus                :       0.000000                            0.000000 Rtl"Ub@HV  
Tilt Y tolerance on surface (degrees) 1 ZhaP2pC%4  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 ,!y$qVg'\f  
Change in Focus                :       0.000000                            0.000000 sIGMA$EK  
Decenter X tolerance on surface 2 "ne?P9'hF  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 WPMSm<[  
Change in Focus                :       0.000000                            0.000000 1};Stai'  
Decenter Y tolerance on surface 2 $|@@Qk/T  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 +gtbcF@rx  
Change in Focus                :       0.000000                            0.000000 vJ[^K  
Tilt X tolerance on surface (degrees) 2 Yujiqi]J;  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 ]Ie
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Change in Focus                :       0.000000                            0.000000 vMH  
Tilt Y tolerance on surface (degrees) 2 "(~^w=d
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TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 6j]0R*B7`Q  
Change in Focus                :       0.000000                            0.000000 k"iOB-@B+  
Decenter X tolerance on surface 3 >uhaW@d  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 <)c)%'v  
Change in Focus                :       0.000000                            0.000000 |N7M^  
Decenter Y tolerance on surface 3 /]Md~=yNp  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 &.Qrs:U  
Change in Focus                :       0.000000                            0.000000 oIzj,v8$  
Tilt X tolerance on surface (degrees) 3 qiBVGH  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 @9RM9zK.q  
Change in Focus                :       0.000000                            0.000000 giw &&l=_  
Tilt Y tolerance on surface (degrees) 3 37.S\gO]  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 9-a0:bP  
Change in Focus                :       0.000000                            0.000000 oQVgyj.  
Irregularity of surface 1 in fringes WO>nIo5Y  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 s)D;a-F  
Change in Focus                :       0.000000                            0.000000 ,Ah;A[%?~  
Irregularity of surface 2 in fringes c]o'xd,T8\  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 29
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Change in Focus                :       0.000000                            0.000000 /{n-Y/jp  
Irregularity of surface 3 in fringes vw/J8'  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 (v
JNHY M  
Change in Focus                :       0.000000                            0.000000 {ROVvs`  
Index tolerance on surface 1 }V`"s^  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 ]Q3ADh  
Change in Focus                :       0.000000                            0.000000 0znR0%~  
Index tolerance on surface 2 Ie#Bkw'*  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 .|fHy  
Change in Focus                :       0.000000                           -0.000000 3~{:`[0Q  
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Worst offenders: J<h$ wM  
Type                      Value      Criterion        Change HBXOjr<,{  
TSTY   2            -0.20000000     0.35349910    -0.19053324 2eY_%Y0  
TSTY   2             0.20000000     0.35349910    -0.19053324 flbd0NB  
TSTX   2            -0.20000000     0.35349910    -0.19053324 0=1T.4+=  
TSTX   2             0.20000000     0.35349910    -0.19053324 B%6)}Nl[  
TSTY   1            -0.20000000     0.42678383    -0.11724851 iz PDd{[  
TSTY   1             0.20000000     0.42678383    -0.11724851 Y]2A&0  
TSTX   1            -0.20000000     0.42678383    -0.11724851
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TSTX   1             0.20000000     0.42678383    -0.11724851 ?NsW|w_  
TSTY   3            -0.20000000     0.42861670    -0.11541563 })Vi  
TSTY   3             0.20000000     0.42861670    -0.11541563 xY(*.T9K  
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Estimated Performance Changes based upon Root-Sum-Square method: xfe+n$~ c  
Nominal MTF                 :     0.54403234 &B1WtW
 
Estimated change            :    -0.36299231 [h
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Estimated MTF               :     0.18104003 r[iflBP  
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Compensator Statistics: MAPGJ"?  
Change in back focus: 4!no~ $b  
Minimum            :        -0.000000 Iit;F  
Maximum            :         0.000000 f6>b|k
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Mean               :        -0.000000 B[?Ng}<g`  
Standard Deviation :         0.000000 )Y{L&A  
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Monte Carlo Analysis: Dp-z[]})1  
Number of trials: 20 S;#'M![8  
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Initial Statistics: Normal Distribution BUXpCxQ  
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  Trial       Criterion        Change s9DYi~/,  
      1     0.42804416    -0.11598818 j'"J%e]  
Change in Focus                :      -0.400171 .4!=p*Y  
      2     0.54384387    -0.00018847 vV-`jsq20H  
Change in Focus                :       1.018470 w+u3*/Zf  
      3     0.44510003    -0.09893230 ,R* ]>'  
Change in Focus                :      -0.601922 M!D3}JRm  
      4     0.18154684    -0.36248550 U8n V[  
Change in Focus                :       0.920681 cU!vsdR3  
      5     0.28665820    -0.25737414 S3Xl  
Change in Focus                :       1.253875 Q sCheHP  
      6     0.21263372    -0.33139862 ope^~+c~\  
Change in Focus                :      -0.903878 Z o(rTCZX  
      7     0.40051424    -0.14351809 f?X)k,m  
Change in Focus                :      -1.354815 YO}<Ytx  
      8     0.48754161    -0.05649072 X2~!(WxU F  
Change in Focus                :       0.215922 Ne1$ee.NE  
      9     0.40357468    -0.14045766 _ *Pf  
Change in Focus                :       0.281783 -k"/X8  
     10     0.26315315    -0.28087919 5MJS ~(  
Change in Focus                :      -1.048393 z[qDkL  
     11     0.26120585    -0.28282649 lZKi'vg7  
Change in Focus                :       1.017611 $suzW;{#  
     12     0.24033815    -0.30369419 pB0 \\wR  
Change in Focus                :      -0.109292 ]2qo+yB  
     13     0.37164046    -0.17239188 TJXT-\Vk  
Change in Focus                :      -0.692430 PtiOz :zV  
     14     0.48597489    -0.05805744 t&e{_|i#+  
Change in Focus                :      -0.662040 ZyFjFHe+  
     15     0.21462327    -0.32940907 @*KZ}i@._  
Change in Focus                :       1.611296 R%[ c;i  
     16     0.43378226    -0.11025008 Ok=hT|}Y  
Change in Focus                :      -0.640081 A#YrWW  
     17     0.39321881    -0.15081353 ]Gq !`O1  
Change in Focus                :       0.914906 Em~>9f ?Q(  
     18     0.20692530    -0.33710703 U9MxI%tb  
Change in Focus                :       0.801607 -=\c_\O  
     19     0.51374068    -0.03029165 Jij*x>K>y  
Change in Focus                :       0.947293 hv>\gBe i  
     20     0.38013374    -0.16389860 %:* YO;dw'  
Change in Focus                :       0.667010 )MTO
U47U  
%| Lfuz*  
Number of traceable Monte Carlo files generated: 20 sdw(R#GE  
j*r{2f4Rt  
Nominal     0.54403234 yEE*B:  
Best        0.54384387    Trial     2 ]>Es4 s  
Worst       0.18154684    Trial     4 PALc;"]O  
Mean        0.35770970 ge8ZsaiU  
Std Dev     0.11156454 3L}A3de'  
&6nWzF  
T1=fNF  
Compensator Statistics: ?m"( Soh  
Change in back focus: sD#.Oq4&]y  
Minimum            :        -1.354815 /h|#J  
Maximum            :         1.611296 -PR N:'T  
Mean               :         0.161872 {F.[&/A  
Standard Deviation :         0.869664 >e$PP8&i_T  
86F1.ve  
90% >       0.20977951               I9ep`X6Y  
80% >       0.22748071               ePo}y])2  
50% >       0.38667627               A^<jy=F&  
20% >       0.46553746               U&p${IcEm  
10% >       0.50064115                ]~3V}z,T*  
61'XgkacDS  
End of Run. =Jb>x#Y  
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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 8v%o,"  

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 $*fMR,~t&  
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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                 6.yu-xm
 
80% >       0.22748071                 4BpZJ~(p  
50% >       0.38667627                 `r 3  
20% >       0.46553746                 `'7
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10% >       0.50064115 a9Zq
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最后这个数值是MTF值呢，还是MTF的公差？ ^} >w<'0  
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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？？？   DZtsy!xA  
 a0)QH  
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  : j<e2d7oN  
90% >       0.20977951                
Ab;.5O$y  
80% >       0.22748071                 )0k53-h&  
50% >       0.38667627                 )D%~`,#pQ  
20% >       0.46553746                 |u p  
10% >       0.50064115 I)HPO,7  
....... j![\& z  

z\4.Gm-  
b%c9oR's^  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   y8xE 6i  
Mode                : Sensitivities 0PCGDLk8  
Sampling            : 2 ]eV8b*d6  
Nominal Criterion   : 0.54403234 62NsJ<#>  
Test Wavelength     : 0.6328 N6TH}~62}  
QTnP'5y  
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？ 6wg^FD_Q  
.X;K%J2  
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