[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 azC
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然后添加了默认公差分析，基本没变 lK2=[%,~  
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然后运行分析的结果如下： +YFAZv7`  
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Analysis of Tolerances $p)e.ZMgE  
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File : E:\光学设计资料\zemax练习\f500.ZMX ZQ)vvD<  
Title: c`agrS:P  
Date : TUE JUN 21 2011 ']__V[  
h2_A'  
Units are Millimeters. |e+r|i]  
All changes are computed using linear differences. 9Z^\b)x  
,T;T%/ S  
Paraxial Focus compensation only. >V$ S\"  
q}r{%ypf  
WARNING: Solves should be removed prior to tolerancing. tm|YUat$]r  
Id<O/C  
Mnemonics: %c-T Gr,  
TFRN: Tolerance on curvature in fringes. 6=3;(2u[C"  
TTHI: Tolerance on thickness. Bgf'Hm%r  
TSDX: Tolerance on surface decentering in x. PZYVLUw `  
TSDY: Tolerance on surface decentering in y. c*DBa]u2  
TSTX: Tolerance on surface tilt in x (degrees). >ca w :  
TSTY: Tolerance on surface tilt in y (degrees). QTmMj@R&(  
TIRR: Tolerance on irregularity (fringes). ?Hrj}K27  
TIND: Tolerance on Nd index of refraction. DWXHx  
TEDX: Tolerance on element decentering in x. 3T)_(SM"  
TEDY: Tolerance on element decentering in y. UPGS
/Xs]1  
TETX: Tolerance on element tilt in x (degrees). M=t;t0  
TETY: Tolerance on element tilt in y (degrees). <HXzcWQ$  
K4vOy_wT  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. r=c
m(AHF  
OeYZLC(  
WARNING: Boundary constraints on compensators will be ignored. `s|^  
0 ~^l*  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm >mUSRf4  
Mode                : Sensitivities n>L24rL  
Sampling            : 2 Sp
A-E/el  
Nominal Criterion   : 0.54403234 J_}Rsp ED  
Test Wavelength     : 0.6328 ?atHZLF  
w%uM=YmuT  
rGgP9 (  
Fields: XY Symmetric Angle in degrees Mq Q'Kjo  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 2"pFAQBw~i  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 ,UATT]>  
Dwbt^{N^  
Sensitivity Analysis: 8\BYm|%aa  
7Rl/F1G o}  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| rL23^}+^`  
Type                      Value      Criterion        Change          Value      Criterion        Change V[^+lR  
Fringe tolerance on surface 1 T_I ApC  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 5XF&yYWq  
Change in Focus                :      -0.000000                            0.000000 #%{x*y:Ms  
Fringe tolerance on surface 2 P,*yuF|bk  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 w1:%P36H  
Change in Focus                :       0.000000                            0.000000 !D~\uW1b  
Fringe tolerance on surface 3 ,#8H9<O9t  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 (yv)zg9  
Change in Focus                :      -0.000000                            0.000000 jm&PGZ#n=R  
Thickness tolerance on surface 1 :S=!]la0h  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 q!whWA  
Change in Focus                :       0.000000                            0.000000 CQh6;[\:  
Thickness tolerance on surface 2 TFYp=xK(  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 a'|/=$  
Change in Focus                :       0.000000                           -0.000000 &]jCoBj+_  
Decenter X tolerance on surfaces 1 through 3 -5u. Ix3  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 'da$i  
Change in Focus                :       0.000000                            0.000000 ds:&{~7L<T  
Decenter Y tolerance on surfaces 1 through 3 ]~kgsI[E  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 M <ccfU!  
Change in Focus                :       0.000000                            0.000000 d'!abnF[d  
Tilt X tolerance on surfaces 1 through 3 (degrees) rPkPQn:  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 a8
cX{6  
Change in Focus                :       0.000000                            0.000000 6'\VPjt  
Tilt Y tolerance on surfaces 1 through 3 (degrees) ,.TwM;w=  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 {PS|q?  
Change in Focus                :       0.000000                            0.000000 I!Uj~jV  
Decenter X tolerance on surface 1 P.'$L\  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 @i=_y+|d_  
Change in Focus                :       0.000000                            0.000000 {9|S,<9  
Decenter Y tolerance on surface 1 )O$T; U  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 ^y2}C$1V
 
Change in Focus                :       0.000000                            0.000000 '=1@,Skj-  
Tilt X tolerance on surface (degrees) 1 n~'cKy)m  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 *#
;  
Change in Focus                :       0.000000                            0.000000 an,JV0  
Tilt Y tolerance on surface (degrees) 1 qd@Fb*  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 7da~+(yhr  
Change in Focus                :       0.000000                            0.000000 =:(<lKf,<F  
Decenter X tolerance on surface 2 (F'?c1  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 .(X!*J]G  
Change in Focus                :       0.000000                            0.000000 -|( q9B  
Decenter Y tolerance on surface 2 Qo])A6$IU  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 9}#9i^%}  
Change in Focus                :       0.000000                            0.000000 GpGq' 8|(  
Tilt X tolerance on surface (degrees) 2 BBHoD:l  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 G

 ;  
Change in Focus                :       0.000000                            0.000000 2hFOwI  
Tilt Y tolerance on surface (degrees) 2 y0\=F  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 L,*#  
Change in Focus                :       0.000000                            0.000000 !y7w~UVs  
Decenter X tolerance on surface 3 Z8q*XpUH  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 #r;uM+  
Change in Focus                :       0.000000                            0.000000 *@[N~:z/  
Decenter Y tolerance on surface 3 ({9P, D~2  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 7&*d]#&~j  
Change in Focus                :       0.000000                            0.000000 S@6 :H"  
Tilt X tolerance on surface (degrees) 3 u!9bhL`  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 7!('+x(>  
Change in Focus                :       0.000000                            0.000000 eZ;DNZK av  
Tilt Y tolerance on surface (degrees) 3 #}aBRKZf6  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 A}z1~Z+  
Change in Focus                :       0.000000                            0.000000 K?X 6@u|h  
Irregularity of surface 1 in fringes W24n%Ps  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 XDAwE  
Change in Focus                :       0.000000                            0.000000 SS"Z>talw  
Irregularity of surface 2 in fringes ErY-`8U"  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 D}L4uz?  
Change in Focus                :       0.000000                            0.000000 CV7%ud]E  
Irregularity of surface 3 in fringes (m&''yaH  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 -r@/8"  
Change in Focus                :       0.000000                            0.000000 <hzuPi@  
Index tolerance on surface 1 , \R,O  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 HFTDea+#  
Change in Focus                :       0.000000                            0.000000 T[]kun  
Index tolerance on surface 2 *[0)]|r  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 H <ugc  
Change in Focus                :       0.000000                           -0.000000 xD4G(]d!  
m`H9^w%W  
Worst offenders: HQtUNtZ  
Type                      Value      Criterion        Change YV"LM6`  
TSTY   2            -0.20000000     0.35349910    -0.19053324 %LBT:Aw  
TSTY   2             0.20000000     0.35349910    -0.19053324 ?&se]\  
TSTX   2            -0.20000000     0.35349910    -0.19053324 l527>7 eT  
TSTX   2             0.20000000     0.35349910    -0.19053324 0/0rWqg /  
TSTY   1            -0.20000000     0.42678383    -0.11724851 9Li.B1j  
TSTY   1             0.20000000     0.42678383    -0.11724851 62{[)jt{  
TSTX   1            -0.20000000     0.42678383    -0.11724851 W!4xE  
TSTX   1             0.20000000     0.42678383    -0.11724851 l$eKV(CZ4  
TSTY   3            -0.20000000     0.42861670    -0.11541563 31n|ScXv  
TSTY   3             0.20000000     0.42861670    -0.11541563 &{(8EvuDd  
u(P;) E"1  
Estimated Performance Changes based upon Root-Sum-Square method: "U%jG`q  
Nominal MTF                 :     0.54403234 ybgAyJ{J<  
Estimated change            :    -0.36299231 Cd51.Sk(l  
Estimated MTF               :     0.18104003 2Ik@L,  
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Compensator Statistics: NzuH&o][  
Change in back focus: |4u?Q+k%%  
Minimum            :        -0.000000 %QKRl5RM-  
Maximum            :         0.000000 FAP1Bm  
Mean               :        -0.000000
Rhil]|a/  
Standard Deviation :         0.000000 Mv^G%zg2  
rkC6-9V  
Monte Carlo Analysis: +yYSp8>  
Number of trials: 20 1$adX  
{qkd63X  
Initial Statistics: Normal Distribution {uuvgFC  
B^sHFc""V  
  Trial       Criterion        Change tx
W<r8  
      1     0.42804416    -0.11598818 {glRXR  
Change in Focus                :      -0.400171 kFF)6z:2  
      2     0.54384387    -0.00018847 ^7&0Pm  
Change in Focus                :       1.018470 HOY9{>E}z  
      3     0.44510003    -0.09893230 t(F] -[  
Change in Focus                :      -0.601922 kN,WB  
      4     0.18154684    -0.36248550 13:0%IO  
Change in Focus                :       0.920681 MX#MDA-4  
      5     0.28665820    -0.25737414 $>mTPNF  
Change in Focus                :       1.253875 /o=,\kM  
      6     0.21263372    -0.33139862 4yu ^cix(  
Change in Focus                :      -0.903878 hV4\#K[  
      7     0.40051424    -0.14351809 a,U@ !}K  
Change in Focus                :      -1.354815 9QryW\6.@z  
      8     0.48754161    -0.05649072 xr\wOQ*`  
Change in Focus                :       0.215922 W!G2$e6  
      9     0.40357468    -0.14045766 Ood'kAH1B  
Change in Focus                :       0.281783 Ug|o($CY  
     10     0.26315315    -0.28087919 <r{ )*]#l  
Change in Focus                :      -1.048393 >f*[U/{ K  
     11     0.26120585    -0.28282649 =2=n   
Change in Focus                :       1.017611 2!^[x~t  
     12     0.24033815    -0.30369419 'hM?
J*m  
Change in Focus                :      -0.109292 uKZe"wN;  
     13     0.37164046    -0.17239188 );.q:"  
Change in Focus                :      -0.692430 H21\6 GY  
     14     0.48597489    -0.05805744 +T@a/(Gl  
Change in Focus                :      -0.662040 n/3gx4.g  
     15     0.21462327    -0.32940907 gB?~!J?  
Change in Focus                :       1.611296 n|oAfJUk,  
     16     0.43378226    -0.11025008 2W=( {e)$  
Change in Focus                :      -0.640081 6!}tmdzR  
     17     0.39321881    -0.15081353 kFG>Km(y}  
Change in Focus                :       0.914906 2e
BA&t  
     18     0.20692530    -0.33710703 -\`n{$OR  
Change in Focus                :       0.801607 $I7/FZP  
     19     0.51374068    -0.03029165 YJ`[$0mam  
Change in Focus                :       0.947293 S)0bu(a`Z,  
     20     0.38013374    -0.16389860 syYg, G[  
Change in Focus                :       0.667010 <4W"ne28  
m$xyUv1  
Number of traceable Monte Carlo files generated: 20 dsP1Zq  
%8T:rS  
Nominal     0.54403234 :I5]|pt  
Best        0.54384387    Trial     2 d/GP.d  
Worst       0.18154684    Trial     4 e_wz8]K)n  
Mean        0.35770970 xi=qap=S^9  
Std Dev     0.11156454 eYurg6Ob~  
X"W%(x`w  
kQ$Q}3f  
Compensator Statistics: .d5|Fs~B  
Change in back focus: 9_rNJLj8y  
Minimum            :        -1.354815 Y'n TyH  
Maximum            :         1.611296 <)zh2UI  
Mean               :         0.161872 h@72eav3+  
Standard Deviation :         0.869664 ?'K}bmdt}.  
& CiUU  
90% >       0.20977951               l|ZwZix
 
80% >       0.22748071               ZbYwuyHk(3  
50% >       0.38667627               2k[i7Rl \c  
20% >       0.46553746               \>j._#t$h  
10% >       0.50064115                | %af}# FQ  
I'o9.B8%#  
End of Run. S zOB{  
` BH8v  
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 AjaG.fa]k  
ML0o:8Bd\  
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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 JBa=R^k  
6:B[8otQ  
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                 TeG5|`t],  
80% >       0.22748071                 X'ryfa1|  
50% >       0.38667627                 +|Xx=1_?BK  
20% >       0.46553746                 d/- f]   
10% >       0.50064115 Eti;(>"@  
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``  
最后这个数值是MTF值呢，还是MTF的公差？ r_I7Gd  
KCDEMs}}zM  
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？？？   3yDa5q{  
xc8MOm  
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  : PzWhB* iBR  
90% >       0.20977951                 0hnN>?  
80% >       0.22748071                 `6)GjZh^  
50% >       0.38667627                 \ty{KAc&  
20% >       0.46553746                 uwXquOw  
10% >       0.50064115 C,P>7  
....... 3E$M{l  

JQj?+PI  
|77.Lqqy,  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   fb
3(9  
Mode                : Sensitivities [nZf4KN  
Sampling            : 2 FNL[6.!PV  
Nominal Criterion   : 0.54403234 T2<?4^xN  
Test Wavelength     : 0.6328 1O]'iS"  
2#1"(m{  
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？ sQUJ]h  
yw2Mr+9I  
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