[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 ^*fZ  
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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 |<q9Ee  
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图片:2.jpg

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然后运行分析的结果如下： ]S=AO/'  
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Analysis of Tolerances w>q:&Q  
#
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File : E:\光学设计资料\zemax练习\f500.ZMX y ;$8C  
Title: 6_s_2cr  
Date : TUE JUN 21 2011 HZHzjrx  
APC,p,"  
Units are Millimeters. F{g^4  
All changes are computed using linear differences. OZ/!=;  
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Paraxial Focus compensation only. w!=Fi  
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WARNING: Solves should be removed prior to tolerancing. aq|R?  
EPZ^I)  
Mnemonics: qXH\e|  
TFRN: Tolerance on curvature in fringes. @4'bI)  
TTHI: Tolerance on thickness. !p4y@U{  
TSDX: Tolerance on surface decentering in x. jBTXs5q  
TSDY: Tolerance on surface decentering in y. 5yHarC  
TSTX: Tolerance on surface tilt in x (degrees). Pa{)@xT  
TSTY: Tolerance on surface tilt in y (degrees). oBm^RHTZ  
TIRR: Tolerance on irregularity (fringes). *,UD&N_)*6  
TIND: Tolerance on Nd index of refraction. pnvHh0ck_  
TEDX: Tolerance on element decentering in x. 99\;jz7  
TEDY: Tolerance on element decentering in y. 0x-58i0  
TETX: Tolerance on element tilt in x (degrees). 7h3#5Y  
TETY: Tolerance on element tilt in y (degrees). \GR M,c  
]7d~,<3R  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately.  fn1G^a=  
y~w -z4  
WARNING: Boundary constraints on compensators will be ignored. I.M@we/bR}  
KVvzVQ1  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm RO([R=.`/  
Mode                : Sensitivities #DN5S#Ic  
Sampling            : 2 x tJ_azt  
Nominal Criterion   : 0.54403234 L+c7.l.yT  
Test Wavelength     : 0.6328 4TBK:Vm5  
lR^OS*v  
:DxCjv  
Fields: XY Symmetric Angle in degrees YSvZ7G(m>  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY fY|Bc<,V9)  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 AF=9KWqf  
jWg7
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Sensitivity Analysis: yN0!uzdW*  
hU}!:6G%[P  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| ;Jn"^zT  
Type                      Value      Criterion        Change          Value      Criterion        Change ",b3C.  
Fringe tolerance on surface 1 M<A*{@4$w&  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 ha;Xali ]  
Change in Focus                :      -0.000000                            0.000000 U%Kv}s/(F{  
Fringe tolerance on surface 2 h"7:&=e  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 `sS\8~A  
Change in Focus                :       0.000000                            0.000000 %7X<:f|N8x  
Fringe tolerance on surface 3 SG&VZY  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 =5UT'3p>  
Change in Focus                :      -0.000000                            0.000000 JH%^FF2  
Thickness tolerance on surface 1 !Od?69W, $  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 CDy *8<-&  
Change in Focus                :       0.000000                            0.000000 an4^(SY  
Thickness tolerance on surface 2 6N{Vcfq  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 d$3;o&VUNI  
Change in Focus                :       0.000000                           -0.000000 >y2;sJ4]D%  
Decenter X tolerance on surfaces 1 through 3 ~\4B 1n7  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 %{fa .>6  
Change in Focus                :       0.000000                            0.000000 arCi$:-z@  
Decenter Y tolerance on surfaces 1 through 3 M  `QYrH  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 -:hiLZJ7-  
Change in Focus                :       0.000000                            0.000000 B@:c8}2.  
Tilt X tolerance on surfaces 1 through 3 (degrees) BZ]6W/0  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 ElAho3W  
Change in Focus                :       0.000000                            0.000000 M~0A-*N  
Tilt Y tolerance on surfaces 1 through 3 (degrees) jm-J_o;}z6  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 ; bBz<  
Change in Focus                :       0.000000                            0.000000 )JO#Z(  
Decenter X tolerance on surface 1 @>wD`<U|  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 F-\Swbx+  
Change in Focus                :       0.000000                            0.000000 B8jSdlvz  
Decenter Y tolerance on surface 1 *^BW[C/CTR  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 BFU6?
\r  
Change in Focus                :       0.000000                            0.000000 [j6EzMN  
Tilt X tolerance on surface (degrees) 1 W\'njN  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 v^Eg ,&(  
Change in Focus                :       0.000000                            0.000000 ;XJK*QDN  
Tilt Y tolerance on surface (degrees) 1 WjyuaAWY  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 W+A-<Rh\  
Change in Focus                :       0.000000                            0.000000 |H:JwxH  
Decenter X tolerance on surface 2 SIJ:[=5!7  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 =!axQ[)A  
Change in Focus                :       0.000000                            0.000000 0WasE1t|  
Decenter Y tolerance on surface 2 l7 +#gPA  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 Q9(J$_:  
Change in Focus                :       0.000000                            0.000000 56;(mbW  
Tilt X tolerance on surface (degrees) 2 0_}^IiG  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 }(g`l)OX  
Change in Focus                :       0.000000                            0.000000 yIm@m[B;  
Tilt Y tolerance on surface (degrees) 2 6GxQ<  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 RL|13CG OP  
Change in Focus                :       0.000000                            0.000000 [DW}z  
Decenter X tolerance on surface 3 /`M>3q[  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 T;cyU9  
Change in Focus                :       0.000000                            0.000000 ]!u12^A{  
Decenter Y tolerance on surface 3 hK!Z~  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 -#=y  
Change in Focus                :       0.000000                            0.000000 L53qQej<  
Tilt X tolerance on surface (degrees) 3 2?",2x09  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 pK)*{fC$`  
Change in Focus                :       0.000000                            0.000000 *WSH-*0  
Tilt Y tolerance on surface (degrees) 3 'Zq$W]i  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 [x{S ,?6  
Change in Focus                :       0.000000                            0.000000 sU {'  
Irregularity of surface 1 in fringes Gj[+{  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 '%W'HqVcG1  
Change in Focus                :       0.000000                            0.000000 ;z6Gk&?  
Irregularity of surface 2 in fringes Wvhg:vup  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 u9
WQ0.  
Change in Focus                :       0.000000                            0.000000 Qg)=4(<Hr  
Irregularity of surface 3 in fringes 4T*RJ3Fz!  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 <O`yM2/pS  
Change in Focus                :       0.000000                            0.000000 z3l=aAw8  
Index tolerance on surface 1 $rB20!  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 o8!gV/oy  
Change in Focus                :       0.000000                            0.000000 aR }|^ex  
Index tolerance on surface 2 cJEOwAN  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 _n.2'  
Change in Focus                :       0.000000                           -0.000000 traJub  
P);:t~  
Worst offenders: =F!DwaZ  
Type                      Value      Criterion        Change GP"(+5  
TSTY   2            -0.20000000     0.35349910    -0.19053324 oB9t&yM  
TSTY   2             0.20000000     0.35349910    -0.19053324 8\Y/?$on  
TSTX   2            -0.20000000     0.35349910    -0.19053324 aBPaC=g{HO  
TSTX   2             0.20000000     0.35349910    -0.19053324 'xNPy =#  
TSTY   1            -0.20000000     0.42678383    -0.11724851 ^wL n  
TSTY   1             0.20000000     0.42678383    -0.11724851 e*O-LI2O  
TSTX   1            -0.20000000     0.42678383    -0.11724851 9aLS%-x!+  
TSTX   1             0.20000000     0.42678383    -0.11724851 RU>Hr5ebo  
TSTY   3            -0.20000000     0.42861670    -0.11541563 L  lP  
TSTY   3             0.20000000     0.42861670    -0.11541563 a:C'N4K  

$#4J^(I*:  
Estimated Performance Changes based upon Root-Sum-Square method: f%LzWXA  
Nominal MTF                 :     0.54403234 u-W6 hZ$  
Estimated change            :    -0.36299231 ,`7;S,f  
Estimated MTF               :     0.18104003 Onr#p4UT  
nZF(92
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Compensator Statistics: zE{@
'  
Change in back focus: xl%!7?G|$>  
Minimum            :        -0.000000 UOn L^Z}  
Maximum            :         0.000000 dzYB0vut@  
Mean               :        -0.000000 By=/DVm)=  
Standard Deviation :         0.000000 20hF2V  
4\HB rd#P  
Monte Carlo Analysis: P)fv:a  
Number of trials: 20 )oOcV%  
Z+!3m.q  
Initial Statistics: Normal Distribution CIt>D'/YT  
LGN,8v<W(  
  Trial       Criterion        Change mU1lEx$  
      1     0.42804416    -0.11598818 kl.)A-6V  
Change in Focus                :      -0.400171 "7R"(.~>  
      2     0.54384387    -0.00018847 <!.'"*2  
Change in Focus                :       1.018470 r`]&{0}23  
      3     0.44510003    -0.09893230 <BIj a  
Change in Focus                :      -0.601922 z/*nY?  
      4     0.18154684    -0.36248550 9wP_dJvb  
Change in Focus                :       0.920681 )hH9VGZq(  
      5     0.28665820    -0.25737414 |irqv< r  
Change in Focus                :       1.253875 8?S32Gdu  
      6     0.21263372    -0.33139862 :$&%Pxm  
Change in Focus                :      -0.903878 qC9$xIWq  
      7     0.40051424    -0.14351809 'hl>pso.  
Change in Focus                :      -1.354815 i/rdPbq  
      8     0.48754161    -0.05649072 DPvM|n`TW  
Change in Focus                :       0.215922 _A*5BAB:h(  
      9     0.40357468    -0.14045766 s)$N&0\  
Change in Focus                :       0.281783 gWp\?La  
     10     0.26315315    -0.28087919 _W41
;OY  
Change in Focus                :      -1.048393 daT[2M  
     11     0.26120585    -0.28282649 ?45kN=%*s  
Change in Focus                :       1.017611 _//)|.6c3  
     12     0.24033815    -0.30369419 \F%5TRoC  
Change in Focus                :      -0.109292 **rA
/*Oc  
     13     0.37164046    -0.17239188 U^4 /rbQ  
Change in Focus                :      -0.692430 N=K|Nw  
     14     0.48597489    -0.05805744 eqcV70E8cK  
Change in Focus                :      -0.662040 Q
Rnkj]b  
     15     0.21462327    -0.32940907 >_QC_UX>4i  
Change in Focus                :       1.611296 Gx?p,Fj  
     16     0.43378226    -0.11025008 nAn/Vu  
Change in Focus                :      -0.640081 #LlHsY530N  
     17     0.39321881    -0.15081353 ~\tI9L?|A  
Change in Focus                :       0.914906 *loPwV8  
     18     0.20692530    -0.33710703 0bxB@(NO  
Change in Focus                :       0.801607 ODK$G [-  
     19     0.51374068    -0.03029165 =whZ?,u1   
Change in Focus                :       0.947293 gnmKh>0@6o  
     20     0.38013374    -0.16389860 <@FOqi{o{  
Change in Focus                :       0.667010 V,bfD3S3  
|pJ)w  
Number of traceable Monte Carlo files generated: 20 Zam.g>{]  
mLU4RQ}5  
Nominal     0.54403234 SU OuayE  
Best        0.54384387    Trial     2 7N"$~UfC  
Worst       0.18154684    Trial     4 5EDN 9?a  
Mean        0.35770970 Ev;HV}G  
Std Dev     0.11156454 ~lMw*Qw^  
5T;M,w6DV  
TEl:;4  
Compensator Statistics: &P&LjHFK  
Change in back focus: <A&mc,kj  
Minimum            :        -1.354815 Go3EWM`Cd8  
Maximum            :         1.611296 }}XYV eI  
Mean               :         0.161872 edhNQWn  
Standard Deviation :         0.869664 brJ_q0@  
h5WS<P  
90% >       0.20977951               t3K7W2bz  
80% >       0.22748071               knX0b$$  
50% >       0.38667627               AOQim
jW9a  
20% >       0.46553746               
lk{  
10% >       0.50064115                Ddde,WJA  
1g6AzUXg  
End of Run. _f$8{&`k  
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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 T1hr5V<U  

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 2#l<L>#  
{.$5:<8aC  
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                 0UZ>y/ C)=  
80% >       0.22748071                 tAFKq>\  
50% >       0.38667627                 Ai
fc0P-H  
20% >       0.46553746                 OQMkpX-dH  
10% >       0.50064115 sS;6QkI"y  
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最后这个数值是MTF值呢，还是MTF的公差？ ~>&7~N8  
O6Bs!0,  
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？？？   ~Q"3#4l  
E8gXa-hv  
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  : AGaM &x=  
90% >       0.20977951                 H$'|hUwds%  
80% >       0.22748071                 Ku;|Dz/=o  
50% >       0.38667627                 .EeX
q}a[  
20% >       0.46553746                 {UqSq  
10% >       0.50064115 hojP3 [  
....... od~^''/b  

fP3e{dVf  
.OhpItn  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   rP4v_?Zg
+  
Mode                : Sensitivities wQ1_Q8:Z  
Sampling            : 2 :`u?pc27Sm  
Nominal Criterion   : 0.54403234 V
|6PKED  
Test Wavelength     : 0.6328 tW<i;2 l  
]5(T{  
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？ zzlqj){F  
|gXtP-  
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