[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 P]A~:Lj  
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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 *(+*tjcWa  
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图片:2.jpg

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然后运行分析的结果如下： 4{v?<x8  
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Analysis of Tolerances !_P-?u  
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File : E:\光学设计资料\zemax练习\f500.ZMX jtH>&O  
Title: .EfGL_  
Date : TUE JUN 21 2011 S!Bnz(z  
~[Fh+t(Y  
Units are Millimeters. px=k&|l  
All changes are computed using linear differences. -J& b~t@  
7*MjQzg-P  
Paraxial Focus compensation only. eaWK2%v  
^D]y<@01  
WARNING: Solves should be removed prior to tolerancing. :OKU@l|  
>gTQD\k:D  
Mnemonics: BD_"w]bqD  
TFRN: Tolerance on curvature in fringes. AMSn^75  
TTHI: Tolerance on thickness. j e;^i,&  
TSDX: Tolerance on surface decentering in x. J|uSj/8  
TSDY: Tolerance on surface decentering in y. 4qKMnYR  
TSTX: Tolerance on surface tilt in x (degrees). qmF+@R&^i  
TSTY: Tolerance on surface tilt in y (degrees). b~td^  
TIRR: Tolerance on irregularity (fringes). Y$4dqn  
TIND: Tolerance on Nd index of refraction. dfR?O#JPU  
TEDX: Tolerance on element decentering in x. B*;PF  
TEDY: Tolerance on element decentering in y. )VM'^sV?  
TETX: Tolerance on element tilt in x (degrees). 1i=p5,|  
TETY: Tolerance on element tilt in y (degrees). #I-qL/Lm  
6DxT(VU}  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. IAFj_VWC0  
+01bjM6F_1  
WARNING: Boundary constraints on compensators will be ignored. w:|YOeP  
VthM`~3  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm /I@`B2  
Mode                : Sensitivities O|e/(s?$  
Sampling            : 2 KkPr08  
Nominal Criterion   : 0.54403234 +rOfQ'lQ  
Test Wavelength     : 0.6328 @~j--L  
_s~F/G`iT  
[E:-$R  
Fields: XY Symmetric Angle in degrees Sd?+j;/"  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 5X}OUn8  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000
'
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Uv|^k8(  
Sensitivity Analysis:
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Epm%/ {sHV  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| dx)v`.%V  
Type                      Value      Criterion        Change          Value      Criterion        Change <,+6:NmT  
Fringe tolerance on surface 1 $E35W=~)  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 &?0hj@kd~  
Change in Focus                :      -0.000000                            0.000000 LT:*K!>NOL  
Fringe tolerance on surface 2 'qlWDt/  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 jx-8%dxtZ  
Change in Focus                :       0.000000                            0.000000 |7:{vA5  
Fringe tolerance on surface 3 gH[lpRu|7  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 B[{Ie G'  
Change in Focus                :      -0.000000                            0.000000 Jo9!:2?  
Thickness tolerance on surface 1 9 Xx4,#?  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 [+ N 5  
Change in Focus                :       0.000000                            0.000000 /GU%{nT  
Thickness tolerance on surface 2 3@^b's'S|}  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 }< m@82\  
Change in Focus                :       0.000000                           -0.000000 r57rH^Hc  
Decenter X tolerance on surfaces 1 through 3 TM$Ek^fQ.  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 G{{Or  
Change in Focus                :       0.000000                            0.000000 J>S`}p  
Decenter Y tolerance on surfaces 1 through 3 ba"a!#wA
 
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 c[E>2P2-_  
Change in Focus                :       0.000000                            0.000000 P(XNtQ=K  
Tilt X tolerance on surfaces 1 through 3 (degrees) >a5avSn  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 +{/*
P5  
Change in Focus                :       0.000000                            0.000000 ko<VB#pOMr  
Tilt Y tolerance on surfaces 1 through 3 (degrees)
d$*SVd:  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 zP;1mN  
Change in Focus                :       0.000000                            0.000000 a&~]77)  
Decenter X tolerance on surface 1 <B=!ZC=n  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 jHWJpm(  
Change in Focus                :       0.000000                            0.000000 ,';+
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Decenter Y tolerance on surface 1 ;WpPdR2  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 ^><B5A>;  
Change in Focus                :       0.000000                            0.000000 PdD|3B&  
Tilt X tolerance on surface (degrees) 1 *S>,5R0k  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 WX9pJ9d  
Change in Focus                :       0.000000                            0.000000 wfc[B;K\  
Tilt Y tolerance on surface (degrees) 1 #$(wfb9  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 Le':b2o  
Change in Focus                :       0.000000                            0.000000
OJ\rT.{  
Decenter X tolerance on surface 2 4!r> ^a  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 gHzjI[WI  
Change in Focus                :       0.000000                            0.000000 ^Wz3 q-^  
Decenter Y tolerance on surface 2 q{t"=@lX01  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 gZ1|b  
Change in Focus                :       0.000000                            0.000000 UZUG?UUM  
Tilt X tolerance on surface (degrees) 2 Q|W!m0XO  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 e{x|d?)8  
Change in Focus                :       0.000000                            0.000000 Bt^];DjH  
Tilt Y tolerance on surface (degrees) 2 ]0wmvTR  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 4D\+_Ic3  
Change in Focus                :       0.000000                            0.000000 fMFlY%@t  
Decenter X tolerance on surface 3 I NE,/a=  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 H9Pe,eHs  
Change in Focus                :       0.000000                            0.000000 i|Y_X  
Decenter Y tolerance on surface 3  YErn50L  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 o ) FjWf;  
Change in Focus                :       0.000000                            0.000000 Q,A`"e#:  
Tilt X tolerance on surface (degrees) 3 +6* .lRA  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 v1j]&3O  
Change in Focus                :       0.000000                            0.000000 Eh)VU_D  
Tilt Y tolerance on surface (degrees) 3 7" wn024  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 i#~1|2  
Change in Focus                :       0.000000                            0.000000 -=]LQHuQ  
Irregularity of surface 1 in fringes {@u}-6:wAT  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 5}4MXI4  
Change in Focus                :       0.000000                            0.000000 J}.y+b>8
\  
Irregularity of surface 2 in fringes =9;jVaEMJL  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 = *A_{u;E  
Change in Focus                :       0.000000                            0.000000 g loo].z  
Irregularity of surface 3 in fringes =c8U:\0  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 )LYj,do  
Change in Focus                :       0.000000                            0.000000 $u4esg  
Index tolerance on surface 1 ,
b@0Qa"  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 Vy:ER  
Change in Focus                :       0.000000                            0.000000 32IN;X|  
Index tolerance on surface 2 (;T;?v`-  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 ^IGTGY]s  
Change in Focus                :       0.000000                           -0.000000 m`c(J1Et  
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Worst offenders: NwG&uc+Q  
Type                      Value      Criterion        Change ^~5tntb.  
TSTY   2            -0.20000000     0.35349910    -0.19053324 LE Y Y{G?  
TSTY   2             0.20000000     0.35349910    -0.19053324 FK#>E[[  
TSTX   2            -0.20000000     0.35349910    -0.19053324 AMYoSc  
TSTX   2             0.20000000     0.35349910    -0.19053324 EVj48  
TSTY   1            -0.20000000     0.42678383    -0.11724851 =k[!p'~jD  
TSTY   1             0.20000000     0.42678383    -0.11724851 *0R=(Gy  
TSTX   1            -0.20000000     0.42678383    -0.11724851 ^aZ Wu|p  
TSTX   1             0.20000000     0.42678383    -0.11724851 ^U_B>0`ch  
TSTY   3            -0.20000000     0.42861670    -0.11541563 5hpb=2  
TSTY   3             0.20000000     0.42861670    -0.11541563 U<r<$K  
*k'9 %'<  
Estimated Performance Changes based upon Root-Sum-Square method: F ,{nG[PL  
Nominal MTF                 :     0.54403234 _}!Q4K  
Estimated change            :    -0.36299231 zoOm[X=?3  
Estimated MTF               :     0.18104003 vfegIoZ  
7Hpsmfm  
Compensator Statistics: va;d[D,  
Change in back focus: wrn[q{dX  
Minimum            :        -0.000000 (>0d+ KT  
Maximum            :         0.000000 X5U!25d]  
Mean               :        -0.000000 y::;e#.  
Standard Deviation :         0.000000 SQ5*?u\  
(7ew&u\Li  
Monte Carlo Analysis: fD\h5`-  
Number of trials: 20 ^@)/VfV
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=10t3nA1$  
Initial Statistics: Normal Distribution de

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XE$eHx3;  
  Trial       Criterion        Change ]V@!kg(p8  
      1     0.42804416    -0.11598818 +nMgQOs  
Change in Focus                :      -0.400171 o-O/MS
 
      2     0.54384387    -0.00018847 _n}!1(xYa`  
Change in Focus                :       1.018470 v:6b&wSL3  
      3     0.44510003    -0.09893230 wKY6[vvF  
Change in Focus                :      -0.601922 E7_^RWG  
      4     0.18154684    -0.36248550 o JA58/  
Change in Focus                :       0.920681 5[gkGKkf_  
      5     0.28665820    -0.25737414 dIO\ lL   
Change in Focus                :       1.253875 q]Qgg  
      6     0.21263372    -0.33139862 Op%^dwVG(v  
Change in Focus                :      -0.903878 :{66WSa@Dd  
      7     0.40051424    -0.14351809 j9u-C/Q\r  
Change in Focus                :      -1.354815 (tq)64XVz  
      8     0.48754161    -0.05649072 =_yOX=g|  
Change in Focus                :       0.215922 .X2mEnh  
      9     0.40357468    -0.14045766 WejY b;KS  
Change in Focus                :       0.281783 ,XA;S5FE  
     10     0.26315315    -0.28087919 0KDDAkR5R  
Change in Focus                :      -1.048393 n1ED _9  
     11     0.26120585    -0.28282649 2s{yg%U(  
Change in Focus                :       1.017611 y ph  
     12     0.24033815    -0.30369419 5e2mEQU>  
Change in Focus                :      -0.109292 `z=MI66Nl  
     13     0.37164046    -0.17239188 D9LwYftZ  
Change in Focus                :      -0.692430 XPEjMm'*b3  
     14     0.48597489    -0.05805744 p-7dJ  
Change in Focus                :      -0.662040 lHGv:TN  
     15     0.21462327    -0.32940907 s{q2C}=$?D  
Change in Focus                :       1.611296 kcYR:;y  
     16     0.43378226    -0.11025008 5;^8wh(  
Change in Focus                :      -0.640081 8Peqm?{5Y5  
     17     0.39321881    -0.15081353 Zh(f2urKV  
Change in Focus                :       0.914906 r\NnWS J  
     18     0.20692530    -0.33710703 2d>PN^x  
Change in Focus                :       0.801607 W.67, 0m$  
     19     0.51374068    -0.03029165 sJ?kp^!g  
Change in Focus                :       0.947293 ]
Pd*w`R  
     20     0.38013374    -0.16389860 B\=&v8  
Change in Focus                :       0.667010 'QV4=h`  
<K0lS;@K  
Number of traceable Monte Carlo files generated: 20 wM&G-~9ujk  
WWe.1A,  
Nominal     0.54403234 (~OwO_|3  
Best        0.54384387    Trial     2 q@!:<Ra,){  
Worst       0.18154684    Trial     4 =[k9{cVW  
Mean        0.35770970 =az$WRV+7!  
Std Dev     0.11156454 SA&wW\Ym]  
Sph+kiy|  
e!-'O0-Kw  
Compensator Statistics: ;,A\bmC  
Change in back focus: sS|zz,y  
Minimum            :        -1.354815 };+s0:H  
Maximum            :         1.611296 ~J2Q0Jv  
Mean               :         0.161872 )3 r1; ^W  
Standard Deviation :         0.869664 @E)XT\;3  
?SAi tQ3  
90% >       0.20977951               f*
5"Jh@  
80% >       0.22748071               ='JX_U`A^F  
50% >       0.38667627               )} #r"!  
20% >       0.46553746               "Dk:r/  
10% >       0.50064115                2 g8PU$T  
hB.dqv]^  
End of Run. Ya. $x~  
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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 'IP!)DS  

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 :d#NnR0^L  
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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                 O2G+ '  
80% >       0.22748071                 R}>Do=hAO  
50% >       0.38667627                 :tqjm:  
20% >       0.46553746                 `9+EhP$RS  
10% >       0.50064115
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最后这个数值是MTF值呢，还是MTF的公差？ ,lnuu  
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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？？？   C\^K6,m5  
rd))H  
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  : u)`|q_y+8  
90% >       0.20977951                 x7Rq|NQ  
80% >       0.22748071                 !X%!7wsc  
50% >       0.38667627                 +?Jk@lE<  
20% >       0.46553746                 s~Wu0%])Q  
10% >       0.50064115 1qj%a%R  
....... qTHg[sME  

urXb!e{l  
CS5jJi"pD3  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   r(1pvcWY-  
Mode                : Sensitivities 39T&c85  
Sampling            : 2 >\7RIy3
 
Nominal Criterion   : 0.54403234 jaO#><f  
Test Wavelength     : 0.6328 OpbT63@L  
*KjVPs  
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？ Eo {1y  
KSgQ:_u4}  
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