[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 BZ"+ ND9m_  
\&.]!!Q  
/G& %T  
^Uq"hT(41  
然后添加了默认公差分析，基本没变 .7v .DR>  
UCL aCt -  
oY8S-N;(t  
k-XE
|v  
然后运行分析的结果如下： @WfX{
485  
c0Oc-,6J  
Analysis of Tolerances Jrm 9,7/  
bj`mQMC  
File : E:\光学设计资料\zemax练习\f500.ZMX g}Esj"7  
Title: "*N=aHsj  
Date : TUE JUN 21 2011 9e>Dqlv  
+ew9%={zB  
Units are Millimeters. +*vg)F:  
All changes are computed using linear differences. 6im!v<1Qx  
(S=RFd  
Paraxial Focus compensation only. R0_O/o+{  
'mR9Uqq\  
WARNING: Solves should be removed prior to tolerancing. }vspjplk^  
Ut
hH  
Mnemonics: #CYDh8X<i  
TFRN: Tolerance on curvature in fringes. (M,IgSn9  
TTHI: Tolerance on thickness. OPP^n-iPr  
TSDX: Tolerance on surface decentering in x. Gn7P` t*.  
TSDY: Tolerance on surface decentering in y. :^[HDI-[2  
TSTX: Tolerance on surface tilt in x (degrees). !&b wFO>P  
TSTY: Tolerance on surface tilt in y (degrees). 9/_F  
TIRR: Tolerance on irregularity (fringes). e )?~  
TIND: Tolerance on Nd index of refraction. @x@*=  
TEDX: Tolerance on element decentering in x. ^qP}/H[QT  
TEDY: Tolerance on element decentering in y. {'
e%Hx  
TETX: Tolerance on element tilt in x (degrees). /;rPzP4K6  
TETY: Tolerance on element tilt in y (degrees). W`2Xn?g  
z6+D=<  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. y_e$W3bON,  
wSwDhOX=  
WARNING: Boundary constraints on compensators will be ignored. &)y$XsSMW  
D8S3YdJ  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm XwNJHOaF  
Mode                : Sensitivities KqNbIw*sR  
Sampling            : 2 yl'@p5n  
Nominal Criterion   : 0.54403234 &3t[p=  
Test Wavelength     : 0.6328 .vJlTg  
okv`+VeA  
K6s%=.Zi(  
Fields: XY Symmetric Angle in degrees 0/@ ^He8l  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY SWpvbs.'so  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 ]/klKqz  
eKw!%97>  
Sensitivity Analysis: ]:X# w0UR  
*eLKD_D`!C  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| HZDeQx`*s  
Type                      Value      Criterion        Change          Value      Criterion        Change ]dj W^C]94  
Fringe tolerance on surface 1 ?0%3~E`l:  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 ! O~:  
Change in Focus                :      -0.000000                            0.000000 ~#^suy?  
Fringe tolerance on surface 2 _b)=ERBbCo  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 pdFa]  
Change in Focus                :       0.000000                            0.000000 QO&{Jx.^[  
Fringe tolerance on surface 3 -)Zp"  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 :
U!@  
Change in Focus                :      -0.000000                            0.000000 5zf bI  
Thickness tolerance on surface 1 6J""gyK.  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 !`h^S)$  
Change in Focus                :       0.000000                            0.000000 8uq`^l%KkZ  
Thickness tolerance on surface 2 iT2
{3t  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 f}%paE"  
Change in Focus                :       0.000000                           -0.000000 EpsjaOmAF  
Decenter X tolerance on surfaces 1 through 3 7XU$O$C  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 %&[=%zc  
Change in Focus                :       0.000000                            0.000000 "z6xS;  
Decenter Y tolerance on surfaces 1 through 3 )d$FFTH  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 P]mJ01@'  
Change in Focus                :       0.000000                            0.000000 BGOajYD  
Tilt X tolerance on surfaces 1 through 3 (degrees) :FN-.1C  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 #q mv(VB4  
Change in Focus                :       0.000000                            0.000000 J\%SAit@  
Tilt Y tolerance on surfaces 1 through 3 (degrees) 9m+ejTK{U  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 `Hp=1a  
Change in Focus                :       0.000000                            0.000000 Krw'|<  
Decenter X tolerance on surface 1 CAT{)*xc  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 JV`"kk/  
Change in Focus                :       0.000000                            0.000000 FD[o94`%  
Decenter Y tolerance on surface 1 ,%X"Caz  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 49iqrP'  
Change in Focus                :       0.000000                            0.000000 nQaryL  
Tilt X tolerance on surface (degrees) 1 >.o<}!FW  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 vXLGdv::  
Change in Focus                :       0.000000                            0.000000 vBLs88  
Tilt Y tolerance on surface (degrees) 1 ?l>Ra0  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 vKFEA7  
Change in Focus                :       0.000000                            0.000000 4o69t  
Decenter X tolerance on surface 2 #Y%(CI  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 57jDsQAj  
Change in Focus                :       0.000000                            0.000000 h2P&<ggqX  
Decenter Y tolerance on surface 2 o#\c:D*k  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 i[4t`v'Dk  
Change in Focus                :       0.000000                            0.000000 m>{I>:sq  
Tilt X tolerance on surface (degrees) 2 n3" @E<rW  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 K0'= O  
Change in Focus                :       0.000000                            0.000000 m88(f2Ch  
Tilt Y tolerance on surface (degrees) 2 J
KY  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 cES8%UC^i  
Change in Focus                :       0.000000                            0.000000 E@J}(76VS  
Decenter X tolerance on surface 3 3S=$ng  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 &ev#C%Nu  
Change in Focus                :       0.000000                            0.000000 JE_GWgwdv  
Decenter Y tolerance on surface 3 m}32ovpw  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 #B6$r/%  
Change in Focus                :       0.000000                            0.000000 a^eR~efdu@  
Tilt X tolerance on surface (degrees) 3 O^DLp/vM  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 rKkFflOVO  
Change in Focus                :       0.000000                            0.000000 SNrX(V::z  
Tilt Y tolerance on surface (degrees) 3 P%y9
fU2[  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 q"-+`;^7(-  
Change in Focus                :       0.000000                            0.000000 ~sVbg$]\G  
Irregularity of surface 1 in fringes t;b1<TLn0  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 -#`tS  
Change in Focus                :       0.000000                            0.000000 2v{42]XYf  
Irregularity of surface 2 in fringes ?6V U4nK/*  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 (YY!e2  
Change in Focus                :       0.000000                            0.000000 l{8t;!2t  
Irregularity of surface 3 in fringes S76xEL  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 l9+)h
}  
Change in Focus                :       0.000000                            0.000000 ^%t{:\  
Index tolerance on surface 1 6g)X&pZ  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 }*|aVBvU  
Change in Focus                :       0.000000                            0.000000 ekCt1^5Y  
Index tolerance on surface 2 G7k.YtW  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 
}+fBJ$  
Change in Focus                :       0.000000                           -0.000000 S #C;"se  
3^`.bm4 ^  
Worst offenders: *qKf!&  
Type                      Value      Criterion        Change q@d6P~[-gj  
TSTY   2            -0.20000000     0.35349910    -0.19053324 g>n1mK|  
TSTY   2             0.20000000     0.35349910    -0.19053324 (AT)w/  
TSTX   2            -0.20000000     0.35349910    -0.19053324 DcsQ6  
TSTX   2             0.20000000     0.35349910    -0.19053324 ]D@y""{--s  
TSTY   1            -0.20000000     0.42678383    -0.11724851 ZW ZKyJQ  
TSTY   1             0.20000000     0.42678383    -0.11724851 -c p)aH)  
TSTX   1            -0.20000000     0.42678383    -0.11724851 "9OOyeKu%  
TSTX   1             0.20000000     0.42678383    -0.11724851 N6h.zl&04  
TSTY   3            -0.20000000     0.42861670    -0.11541563 oRHWb_$"  
TSTY   3             0.20000000     0.42861670    -0.11541563 S~\u]j^%y  
IRbZ ;*3dO  
Estimated Performance Changes based upon Root-Sum-Square method: fvM|Jb  
Nominal MTF                 :     0.54403234 }b/G{92  
Estimated change            :    -0.36299231 $Hal]  
Estimated MTF               :     0.18104003 f/pr  
\SA$:^zO  
Compensator Statistics: r(Y@;  
Change in back focus: Y4)=D@JI  
Minimum            :        -0.000000 K~ VUD(  
Maximum            :         0.000000 'cf8VD  
Mean               :        -0.000000 q&V=A[<rz  
Standard Deviation :         0.000000 
|\/V1  
w6.J&O  
Monte Carlo Analysis: =Cp}iM  
Number of trials: 20 3ms{gZbw  
F}4jm,w  
Initial Statistics: Normal Distribution
$-lP"m@}  
2@a]x(  
  Trial       Criterion        Change "uD^1'IW2  
      1     0.42804416    -0.11598818 *_tJ;  
Change in Focus                :      -0.400171 Q*caX   
      2     0.54384387    -0.00018847 wIK
&EGQ  
Change in Focus                :       1.018470 nX-%qc"  
      3     0.44510003    -0.09893230 S@eI3PkE  
Change in Focus                :      -0.601922 Y 9~z7  
      4     0.18154684    -0.36248550 :a y-2  
Change in Focus                :       0.920681 $jNp-5+Q;  
      5     0.28665820    -0.25737414 v1~`76^  
Change in Focus                :       1.253875 ;T?4=15c  
      6     0.21263372    -0.33139862 j:J{m0  
Change in Focus                :      -0.903878 -,}ppTG  
      7     0.40051424    -0.14351809 qJLtqv  
Change in Focus                :      -1.354815 hFr?84sAd  
      8     0.48754161    -0.05649072 roE*8:Y  
Change in Focus                :       0.215922 e"6!0Py#*  
      9     0.40357468    -0.14045766 9`v[Jm% $m  
Change in Focus                :       0.281783 &ajpD sz;  
     10     0.26315315    -0.28087919 s9b 6l,Z  
Change in Focus                :      -1.048393 kV3Zt@+  
     11     0.26120585    -0.28282649 *8j2iu-|  
Change in Focus                :       1.017611 O;~dao  
     12     0.24033815    -0.30369419 A+bU{oLr  
Change in Focus                :      -0.109292 06~HVv  
     13     0.37164046    -0.17239188 'U3+'du^8  
Change in Focus                :      -0.692430 1U< g  
     14     0.48597489    -0.05805744 
d`&F  
Change in Focus                :      -0.662040 )gP0+W!u  
     15     0.21462327    -0.32940907 y}!}*Qj+/  
Change in Focus                :       1.611296 |HMpVT-;j  
     16     0.43378226    -0.11025008 cG~-OHU  
Change in Focus                :      -0.640081 =)9@rV&~  
     17     0.39321881    -0.15081353 q/HwcX+[b  
Change in Focus                :       0.914906 8m;tgMFO  
     18     0.20692530    -0.33710703 [p# }=&d  
Change in Focus                :       0.801607 T?'Vb  
     19     0.51374068    -0.03029165 and)>$)|  
Change in Focus                :       0.947293 CN, oH4IU  
     20     0.38013374    -0.16389860 )I`Ma6bX  
Change in Focus                :       0.667010 )Y}8)/Pud  
6!^&]4  
Number of traceable Monte Carlo files generated: 20 vZl]C%  
}Pn]j7u!  
Nominal     0.54403234 o7;#B)jWS  
Best        0.54384387    Trial     2 2RC|u?+@  
Worst       0.18154684    Trial     4 PhOtSml0  
Mean        0.35770970 q2C._{ 0'  
Std Dev     0.11156454 a@&P\"k  
d~U}IMj  
k2cC:5Xf3  
Compensator Statistics: $D)Ajd;  
Change in back focus: vMB`TpZ  
Minimum            :        -1.354815 eAD
uk!Iq  
Maximum            :         1.611296 =1'vXPv`  
Mean               :         0.161872 rr=e  
Standard Deviation :         0.869664 ^N\$oV$  
n^2p jTkl  
90% >       0.20977951               08TeGUjJ  
80% >       0.22748071               mjtmN0^SR  
50% >       0.38667627               +__PT4ps  
20% >       0.46553746               c_#+xGS!7  
10% >       0.50064115                l@OY8z-_  
H<`<5M8  
End of Run. at-+%e  
zZax![Z  
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 [R~`6  
Btgxzf  
%!X|X
,b^O  
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 ?\.aq p1B  
^Voi4;  
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                 T{:~v+I=  
80% >       0.22748071                 1XpG7  
50% >       0.38667627                 \~!!h.xR  
20% >       0.46553746                 
Z.l4<  
10% >       0.50064115 (& UQ^  
MOia]5
 
最后这个数值是MTF值呢，还是MTF的公差？ a7@':Rb n  
Oe~x,=X)  
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？？？   pRys 5/&v  
:2zga=)g  
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  : f{.4#C'  
90% >       0.20977951                 -VeCX]  
80% >       0.22748071                 RR+{uSO,t  
50% >       0.38667627                 ?I[*{}@n"  
20% >       0.46553746                 ]OtnekkK$  
10% >       0.50064115 :sQ>oNnz  
....... vc :%  

g#MLA5%=u  
pM^ZC  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   xeL"FzF:V  
Mode                : Sensitivities 8IA1@0n&  
Sampling            : 2 zXM,cV/s  
Nominal Criterion   : 0.54403234 H %c6I  
Test Wavelength     : 0.6328 p#CjkL  
c"v75lW-J  
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？ w`;HwK$ ,  
WFiX=@SS  
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