[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 G(?1 Urxi  
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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 9_
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图片:2.jpg

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然后运行分析的结果如下： ^O<'Qp,[:  
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Analysis of Tolerances gJp6ReZ#  
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File : E:\光学设计资料\zemax练习\f500.ZMX )-"<19eu  
Title: 5s\;7>  
Date : TUE JUN 21 2011 Wgs6}1bg  
j=U"t\{  
Units are Millimeters. 4S*ifl  
All changes are computed using linear differences. &u^]YE{  
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Paraxial Focus compensation only. /tG as  
q{G8Po$z'  
WARNING: Solves should be removed prior to tolerancing. a~@f,bw  
] 7[#K^  
Mnemonics: VOC$Kqg;  
TFRN: Tolerance on curvature in fringes. >`3F`@1L0  
TTHI: Tolerance on thickness. A",}Ikh='`  
TSDX: Tolerance on surface decentering in x. Y,L[0%  
TSDY: Tolerance on surface decentering in y. iVnMn1h  
TSTX: Tolerance on surface tilt in x (degrees). lO|LvJyx  
TSTY: Tolerance on surface tilt in y (degrees). "6IZf>N@#  
TIRR: Tolerance on irregularity (fringes). b&@]f2/  
TIND: Tolerance on Nd index of refraction. &HLG<ISw  
TEDX: Tolerance on element decentering in x. [;aM8N  
TEDY: Tolerance on element decentering in y. 
)H]L/n  
TETX: Tolerance on element tilt in x (degrees). s>G]U)d<'  
TETY: Tolerance on element tilt in y (degrees). }D!tB  
b3_P??yp  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. Bx\ o8k  
9;I%Dv  
WARNING: Boundary constraints on compensators will be ignored. Rs{8vV  
.7 )oWd!  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm !4#qaH-Q  
Mode                : Sensitivities 4~A$u^scn  
Sampling            : 2 l x;87MDs  
Nominal Criterion   : 0.54403234 &n8Ja@Y]  
Test Wavelength     : 0.6328 d3\?:}o,  
,]ySBAO  
8EkzSe  
Fields: XY Symmetric Angle in degrees \tvL<U"'  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 6/3E!8  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 !oXFDC3k  
f?^-JZ  
Sensitivity Analysis: 6ERMn"[_w  
aaf}AIL.  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| &`s{-<t<L  
Type                      Value      Criterion        Change          Value      Criterion        Change Z~h6^h   
Fringe tolerance on surface 1 "(W;rl  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 {5  pK8  
Change in Focus                :      -0.000000                            0.000000 Vb#a ,t  
Fringe tolerance on surface 2 ,<K+.7,)E  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 vy5Fw&?"  
Change in Focus                :       0.000000                            0.000000 ,J+L_S+B~  
Fringe tolerance on surface 3 "8uNa  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 _kRc"MaB  
Change in Focus                :      -0.000000                            0.000000 wXp:XZ:]T  
Thickness tolerance on surface 1 ny+r>>3Td  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 ox<&T|  
Change in Focus                :       0.000000                            0.000000 &d6ud|  
Thickness tolerance on surface 2 jK/FzD0-  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 6W1+@ q  
Change in Focus                :       0.000000                           -0.000000 $X-PjQb1Bb  
Decenter X tolerance on surfaces 1 through 3 \ ;]{`  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 <)LR  
Change in Focus                :       0.000000                            0.000000 tboQn~&4  
Decenter Y tolerance on surfaces 1 through 3 b'SP,}s5"  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 )lt1I\n*k  
Change in Focus                :       0.000000                            0.000000 (||qFu9a  
Tilt X tolerance on surfaces 1 through 3 (degrees) ipMSMk7gx  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 *2~WP'~PQd  
Change in Focus                :       0.000000                            0.000000 z__t8yc3  
Tilt Y tolerance on surfaces 1 through 3 (degrees) Op9 ^Eu%n  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 >Q(\vl@N=  
Change in Focus                :       0.000000                            0.000000 s&o9LdL  
Decenter X tolerance on surface 1 6RxI9{ry  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 *)B \M>  
Change in Focus                :       0.000000                            0.000000 rxMo7px@}I  
Decenter Y tolerance on surface 1 t {1 [Ip  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 i" u|119  
Change in Focus                :       0.000000                            0.000000 Bi;a~qE  
Tilt X tolerance on surface (degrees) 1 uSI@Cjp  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 PX^k;  
Change in Focus                :       0.000000                            0.000000 xjnAK!sD  
Tilt Y tolerance on surface (degrees) 1 4<}@hk Y  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 t>%b[(a  
Change in Focus                :       0.000000                            0.000000 _~CJitR3  
Decenter X tolerance on surface 2 ; \co{_&D  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 Jia@HrLR  
Change in Focus                :       0.000000                            0.000000 )S4ga  
Decenter Y tolerance on surface 2 r6Vw!^]8u8  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 bp?TO]LH  
Change in Focus                :       0.000000                            0.000000 c-NUD$  
Tilt X tolerance on surface (degrees) 2 q Sv!5&u  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 JBw2#ry  
Change in Focus                :       0.000000                            0.000000 ?P|
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Tilt Y tolerance on surface (degrees) 2 52# *{q}  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 '>1M~B  
Change in Focus                :       0.000000                            0.000000 fX,O9d$  
Decenter X tolerance on surface 3 /<[_V/g[t?  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 &@|? %  
Change in Focus                :       0.000000                            0.000000 bxxLAWQ(  
Decenter Y tolerance on surface 3 S?i^ ~  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 ?(B}w*G~  
Change in Focus                :       0.000000                            0.000000 Glw|*{$  
Tilt X tolerance on surface (degrees) 3 cy mC?8<  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 Kc^ctAk7;  
Change in Focus                :       0.000000                            0.000000 ,-EN{ed  
Tilt Y tolerance on surface (degrees) 3 BH^*K/^  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 -*w2<DCn  
Change in Focus                :       0.000000                            0.000000 k:~UBs\)(  
Irregularity of surface 1 in fringes : Gi
8Jo  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 G.XxlI}  
Change in Focus                :       0.000000                            0.000000 7|dm"%@  
Irregularity of surface 2 in fringes 4mp)v*z  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 (ESFR0  
Change in Focus                :       0.000000                            0.000000 _'Vo3b  
Irregularity of surface 3 in fringes t'W6Fmwkx  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 fM]nP4K`  
Change in Focus                :       0.000000                            0.000000 (dNF)(wn  
Index tolerance on surface 1 GadY#]}(  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 I;_T_m4.q  
Change in Focus                :       0.000000                            0.000000 rs>,p)  
Index tolerance on surface 2 ] X]!xvN@  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 /i@.Xg@:  
Change in Focus                :       0.000000                           -0.000000 hB\BFVUSn/  
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Worst offenders: :&z!o"K  
Type                      Value      Criterion        Change !}U3{L-  
TSTY   2            -0.20000000     0.35349910    -0.19053324 f`>\bdz  
TSTY   2             0.20000000     0.35349910    -0.19053324 \&V[<]  
TSTX   2            -0.20000000     0.35349910    -0.19053324 mGP%"R2X  
TSTX   2             0.20000000     0.35349910    -0.19053324 g9g ]X  
TSTY   1            -0.20000000     0.42678383    -0.11724851 =|$U`~YB  
TSTY   1             0.20000000     0.42678383    -0.11724851 MMaS  
TSTX   1            -0.20000000     0.42678383    -0.11724851 j&A9 &+w  
TSTX   1             0.20000000     0.42678383    -0.11724851 G^|b*n!!  
TSTY   3            -0.20000000     0.42861670    -0.11541563 ~PF,[$?4n  
TSTY   3             0.20000000     0.42861670    -0.11541563 l1 08.ao  
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Estimated Performance Changes based upon Root-Sum-Square method: ~/SLGyu  
Nominal MTF                 :     0.54403234 ^HP$r*  
Estimated change            :    -0.36299231 c??m9=OX1  
Estimated MTF               :     0.18104003 H|?r_Ns  
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Compensator Statistics: S$wC{7?f  
Change in back focus: ^Vh^Z)gGi  
Minimum            :        -0.000000 *n@rPr-  
Maximum            :         0.000000 ~^Ga?Q_  
Mean               :        -0.000000 +ZE"pA^C  
Standard Deviation :         0.000000 |4aU&OX  
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Monte Carlo Analysis: <R2SV=]Sq#  
Number of trials: 20 6,~ %  
=.m/X>  
Initial Statistics: Normal Distribution #
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(l2n%LL]*  
  Trial       Criterion        Change +\PLUOk  
      1     0.42804416    -0.11598818 ep48 r>  
Change in Focus                :      -0.400171 _Eq,udCso  
      2     0.54384387    -0.00018847 t?weD{O  
Change in Focus                :       1.018470 8193d%Wb  
      3     0.44510003    -0.09893230 i}<fg*6@E  
Change in Focus                :      -0.601922 4uE/!dT  
      4     0.18154684    -0.36248550 eeBw\
f0  
Change in Focus                :       0.920681 jM{5nRQ  
      5     0.28665820    -0.25737414 a)+*Gf
7?  
Change in Focus                :       1.253875 ]wbV1Y"
 
      6     0.21263372    -0.33139862 cUi6 On1C  
Change in Focus                :      -0.903878 VeFfkg4  
      7     0.40051424    -0.14351809 6(A"5B=\  
Change in Focus                :      -1.354815
=7~;*Ts  
      8     0.48754161    -0.05649072 OCqknA  
Change in Focus                :       0.215922 h:z$uG  
      9     0.40357468    -0.14045766 PP_ar{|7  
Change in Focus                :       0.281783 ?6MUyH]a  
     10     0.26315315    -0.28087919 PEKXPFN  
Change in Focus                :      -1.048393 mG*Yv  
     11     0.26120585    -0.28282649 6TQ[2%X'  
Change in Focus                :       1.017611 1[RI 07g7*  
     12     0.24033815    -0.30369419 f.vJJa  
Change in Focus                :      -0.109292 NPE 4@c_a@  
     13     0.37164046    -0.17239188 ^v3J ld  
Change in Focus                :      -0.692430 `RE K,^U  
     14     0.48597489    -0.05805744 ;Q5o38(  
Change in Focus                :      -0.662040 q?0&0  
     15     0.21462327    -0.32940907 $O;a~/T  
Change in Focus                :       1.611296 `[_p,,}Ir  
     16     0.43378226    -0.11025008 skt9mU  
Change in Focus                :      -0.640081 W{}M${6&  
     17     0.39321881    -0.15081353 E|VTbEYG  
Change in Focus                :       0.914906 =$kS
n\L,  
     18     0.20692530    -0.33710703 Ob|tA  
Change in Focus                :       0.801607 W>u$x=<T  
     19     0.51374068    -0.03029165 Y1DbBDk  
Change in Focus                :       0.947293 vcOw`oS  
     20     0.38013374    -0.16389860 u$"Ew^C  
Change in Focus                :       0.667010 A;;OGJ,!\  
ZZeF1y[q  
Number of traceable Monte Carlo files generated: 20
`7 Nk;  
a{}8030S  
Nominal     0.54403234 HIlTt  
Best        0.54384387    Trial     2 $cO-+Mr-~  
Worst       0.18154684    Trial     4 .  
Mean        0.35770970 TPi{c_ ]  
Std Dev     0.11156454 [hiV#  
H ;HFen|  
<
+<,$jGC-  
Compensator Statistics: WsmP]i^Q  
Change in back focus: 2<_|1%C  
Minimum            :        -1.354815 }A<fCm7  
Maximum            :         1.611296 @`SlOKz!=  
Mean               :         0.161872 $h1pL>^J  
Standard Deviation :         0.869664 ~#P` 7G  
&:=[\Ws R  
90% >       0.20977951               )EsFy6K:  
80% >       0.22748071               S"Ag7i  
50% >       0.38667627               P[P]oT.N  
20% >       0.46553746               g`H;
~ w  
10% >       0.50064115                l]5!$N*  
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End of Run. !$,e)89  
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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,{Q[  

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 DV~g  
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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                 :.F;LF&  
80% >       0.22748071                 2[Bw+<YA`  
50% >       0.38667627                 d
2<+Pp  
20% >       0.46553746                 a^Lo;kHY  
10% >       0.50064115 .Gnzu"lod  
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最后这个数值是MTF值呢，还是MTF的公差？ ey) 8q.5  
43o!Vr/S  
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？？？   9 IY1"j0O  
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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  : ^%~ux0%^T  
90% >       0.20977951                 f%5 s8)  
80% >       0.22748071                 e95@4f^K2  
50% >       0.38667627                 $kCLS7 *  
20% >       0.46553746                 S 0L"5B@  
10% >       0.50064115 8S*W+l19f  
....... c6f[^Q%#j  

KJ;N
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3lD1G~  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   ^t#W?rxp&  
Mode                : Sensitivities B2DWSp-8*  
Sampling            : 2 $MB/j6#j  
Nominal Criterion   : 0.54403234 VQ((c:+!  
Test Wavelength     : 0.6328 1pT-PO3=  
{X'D07q  
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？ )r^)e4UI  

BQTibd  
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