[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 5B=uvp|Y  
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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 * %D_\0;  
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图片:2.jpg

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然后运行分析的结果如下： .a4,Lr#q.  
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Analysis of Tolerances 8t!jo.g  
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File : E:\光学设计资料\zemax练习\f500.ZMX u*C*O4f>OC  
Title: 4=Th<,<  
Date : TUE JUN 21 2011 s~M$Wo8  
b A+_/1C  
Units are Millimeters. f,G*e367:  
All changes are computed using linear differences. M}8P _<,  
jQ{ @ol}n  
Paraxial Focus compensation only. o/Ismg-p  
SBxpJsW>  
WARNING: Solves should be removed prior to tolerancing. Ema[M5$R  
+ktv:d  
Mnemonics: 6KddHyFz  
TFRN: Tolerance on curvature in fringes. D ,kxB~  
TTHI: Tolerance on thickness. u W]gBhO$O  
TSDX: Tolerance on surface decentering in x. qPDNDkjDD  
TSDY: Tolerance on surface decentering in y. {$8+n::  
TSTX: Tolerance on surface tilt in x (degrees). a_b#hM/c;  
TSTY: Tolerance on surface tilt in y (degrees). 6 f*:;  
TIRR: Tolerance on irregularity (fringes). ]IV{;{E)  
TIND: Tolerance on Nd index of refraction. UT;%I_i!'  
TEDX: Tolerance on element decentering in x. o GuAF q  
TEDY: Tolerance on element decentering in y. 
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TETX: Tolerance on element tilt in x (degrees). 5*44QV  
TETY: Tolerance on element tilt in y (degrees). Ul8HWk[6Iw  
7O55mc>cF  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. 50
5c(+  
UFj H8jSBx  
WARNING: Boundary constraints on compensators will be ignored. uE1;@Dm+  
71{Q#%5U~  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm \,13mB6  
Mode                : Sensitivities 
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Sampling            : 2 wUaWF$~y  
Nominal Criterion   : 0.54403234 h$8h@2%  
Test Wavelength     : 0.6328 }ny7LQ  
4X^$"lM  
8H7#[?F  
Fields: XY Symmetric Angle in degrees \ ca<L  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY y i$+rPF1  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 ?^U?ua6  
m!ZY]:)$  
Sensitivity Analysis: 2E1`r@L  
J%?5d:iN+  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| }u
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Type                      Value      Criterion        Change          Value      Criterion        Change p8'$@:M\  
Fringe tolerance on surface 1 |OeWM  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 )K[\j?
 
Change in Focus                :      -0.000000                            0.000000 Ch]d\GM  
Fringe tolerance on surface 2 D>|`+=1'0"  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 4aArxJ  
Change in Focus                :       0.000000                            0.000000 ao)';[%9s  
Fringe tolerance on surface 3 xX-r<:'tmi  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 xt|^~~ /  
Change in Focus                :      -0.000000                            0.000000 YYpC!)  
Thickness tolerance on surface 1 DgT]Nty@b  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 J8)l,J"  
Change in Focus                :       0.000000                            0.000000 &dtst??  
Thickness tolerance on surface 2 fg LY{  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 +&S7l%-  
Change in Focus                :       0.000000                           -0.000000 |$\K/]q-  
Decenter X tolerance on surfaces 1 through 3 -J3~j kf  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 _0+X32HjJ  
Change in Focus                :       0.000000                            0.000000 VpJKH\)Rt(  
Decenter Y tolerance on surfaces 1 through 3 pg%(6dqK4  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 x=cucZ  
Change in Focus                :       0.000000                            0.000000 Z"VP<-  
Tilt X tolerance on surfaces 1 through 3 (degrees) .e7tq\k  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 SMrfEmdH+  
Change in Focus                :       0.000000                            0.000000 <&m50pq  
Tilt Y tolerance on surfaces 1 through 3 (degrees) vCP[7KhGj  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 v,iZnANZ&P  
Change in Focus                :       0.000000                            0.000000 P4@`C{F5m  
Decenter X tolerance on surface 1 %T]$kF++&  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 %
tP*
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Change in Focus                :       0.000000                            0.000000 J
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Decenter Y tolerance on surface 1 ]A2E2~~G  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671  igo9~.  
Change in Focus                :       0.000000                            0.000000 l/={aF7+  
Tilt X tolerance on surface (degrees) 1 WO.u{vW]'
 
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 1(@$bsgu2  
Change in Focus                :       0.000000                            0.000000 aVu!Qk=Z/  
Tilt Y tolerance on surface (degrees) 1 E!ndXz 59  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 ktrIi5B  
Change in Focus                :       0.000000                            0.000000  2yJ{B  
Decenter X tolerance on surface 2 YVccO~!8  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 HThZ4Kg+  
Change in Focus                :       0.000000                            0.000000 'Ou C[$Z  
Decenter Y tolerance on surface 2 R `ViRJh  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 O[VY|.MEk  
Change in Focus                :       0.000000                            0.000000 _Z(t**Zh6y  
Tilt X tolerance on surface (degrees) 2 Wh i#Ii~  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 7_\F$bp`  
Change in Focus                :       0.000000                            0.000000 Hk*1Wrs*  
Tilt Y tolerance on surface (degrees) 2 ~5+RK16  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 9nN1f@Y  
Change in Focus                :       0.000000                            0.000000 8;?4rrS  
Decenter X tolerance on surface 3 FGi7KV=N  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 nsI+04[F  
Change in Focus                :       0.000000                            0.000000 0Ncpi=6  
Decenter Y tolerance on surface 3 V~/G,3:0y%  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 ES4Wtc)&  
Change in Focus                :       0.000000                            0.000000 '?Dxe B  
Tilt X tolerance on surface (degrees) 3 'TS_Am?o  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 ^7yt>  
Change in Focus                :       0.000000                            0.000000 =|-=4.b+|  
Tilt Y tolerance on surface (degrees) 3 At\(/Zy  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 k^Qf
|  
Change in Focus                :       0.000000                            0.000000 s21} a,eB  
Irregularity of surface 1 in fringes RKP,w%  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 kY$EK]s  
Change in Focus                :       0.000000                            0.000000 5csh8i'V  
Irregularity of surface 2 in fringes 12lX-~[["  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 jM\{*!7b  
Change in Focus                :       0.000000                            0.000000 SyVGm@  
Irregularity of surface 3 in fringes :C>7HEh-2_  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 T`!R ki%~  
Change in Focus                :       0.000000                            0.000000 1*=ev,Z  
Index tolerance on surface 1 sm-[=d%@L  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 ;+wB!/k,  
Change in Focus                :       0.000000                            0.000000 _H]^7`;  
Index tolerance on surface 2 M?lh1Yu"  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 H<Sf0>OA  
Change in Focus                :       0.000000                           -0.000000 dO82T3T  
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Worst offenders: 
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Type                      Value      Criterion        Change 2#7|zhgb  
TSTY   2            -0.20000000     0.35349910    -0.19053324 Dylm=ZZa  
TSTY   2             0.20000000     0.35349910    -0.19053324 X6cn8ak3  
TSTX   2            -0.20000000     0.35349910    -0.19053324 w&?XsO@0W  
TSTX   2             0.20000000     0.35349910    -0.19053324 y`va6 %u{  
TSTY   1            -0.20000000     0.42678383    -0.11724851 w5 .^meU  
TSTY   1             0.20000000     0.42678383    -0.11724851 cp@Fj"  
TSTX   1            -0.20000000     0.42678383    -0.11724851 8Nzn%0(Q  
TSTX   1             0.20000000     0.42678383    -0.11724851 |4mvB2r  
TSTY   3            -0.20000000     0.42861670    -0.11541563 !ekByD  
TSTY   3             0.20000000     0.42861670    -0.11541563 kumV|$Y?kA  
>T[/V3Z~K  
Estimated Performance Changes based upon Root-Sum-Square method: b11I$b #  
Nominal MTF                 :     0.54403234 zhw*Bed<  
Estimated change            :    -0.36299231 Y2DL%'K^  
Estimated MTF               :     0.18104003 D<J'\
mo  
Q|)>9m!tt  
Compensator Statistics: !
}!KT(%%  
Change in back focus: ceG\Q2  
Minimum            :        -0.000000 `a&L  
Maximum            :         0.000000 nNCR5&,q  
Mean               :        -0.000000  Gk~aTO  
Standard Deviation :         0.000000 hTDGgSG^  
W+i^tmj  
Monte Carlo Analysis: .hW>#  
Number of trials: 20 %k#+nad  
iL;V5|(sb  
Initial Statistics: Normal Distribution G^ GIHdo  
lBfthLBa  
  Trial       Criterion        Change ;$
iT]S  
      1     0.42804416    -0.11598818 #1%@R<`  
Change in Focus                :      -0.400171 J,Ki2'=  
      2     0.54384387    -0.00018847 @_C]5D^J^~  
Change in Focus                :       1.018470 aE'nW_f  
      3     0.44510003    -0.09893230 !kSemDC  
Change in Focus                :      -0.601922 aA4RC0'  
      4     0.18154684    -0.36248550 vNw(hT5750  
Change in Focus                :       0.920681  9Vm aB  
      5     0.28665820    -0.25737414 ~Fb@E0 }!  
Change in Focus                :       1.253875 MQP9^+f)O?  
      6     0.21263372    -0.33139862 {O>Td9  
Change in Focus                :      -0.903878 yc*cT%?g  
      7     0.40051424    -0.14351809 tCrEcjT-  
Change in Focus                :      -1.354815 wK2$hsque  
      8     0.48754161    -0.05649072 :Hq%y/  
Change in Focus                :       0.215922 1vo3aF  
      9     0.40357468    -0.14045766 %O9Wm_%  
Change in Focus                :       0.281783 +1wEoU.l2  
     10     0.26315315    -0.28087919 h^(
U:M=A  
Change in Focus                :      -1.048393 e&x)g;bn  
     11     0.26120585    -0.28282649 !U?C
_  
Change in Focus                :       1.017611 H}r]j\  
     12     0.24033815    -0.30369419 c$1
u  
Change in Focus                :      -0.109292 QqF<HCO  
     13     0.37164046    -0.17239188 4vL\t uoz  
Change in Focus                :      -0.692430 _zDS-e@  
     14     0.48597489    -0.05805744 j(y<oxh  
Change in Focus                :      -0.662040 s#5#WNzP  
     15     0.21462327    -0.32940907 r#WqXh_uk  
Change in Focus                :       1.611296 fL|9/sojz  
     16     0.43378226    -0.11025008 <zqIq9}r  
Change in Focus                :      -0.640081 er_6PV  
     17     0.39321881    -0.15081353 5{yg  
Change in Focus                :       0.914906 K-]) RIM  
     18     0.20692530    -0.33710703 L&+k`b
  
Change in Focus                :       0.801607 _kBmKE  
     19     0.51374068    -0.03029165 >q;| dn9  
Change in Focus                :       0.947293 0dwD ?GG2  
     20     0.38013374    -0.16389860 2(!W 9#]  
Change in Focus                :       0.667010 j?C[ids<  
Q.$/I+&j  
Number of traceable Monte Carlo files generated: 20 EJ {vJZO  
C)m@/w  
Nominal     0.54403234 06HU6d,  
Best        0.54384387    Trial     2 z2V ->UK)  
Worst       0.18154684    Trial     4 @8c@H#H  
Mean        0.35770970 p*W{*wZ_^  
Std Dev     0.11156454 2.nT k  
O)^F z:  
#.u&2eyqQ  
Compensator Statistics: JQ ?8yl  
Change in back focus: Z<|x6%  
Minimum            :        -1.354815 /QS Nv  
Maximum            :         1.611296 yUcU-pQ  
Mean               :         0.161872 b:9"nALgC  
Standard Deviation :         0.869664 +mG"m hF  
.
&5 3sJ0{  
90% >       0.20977951               J_+2]X7n  
80% >       0.22748071               \=RV?mI3?  
50% >       0.38667627               >Ch2Ep  
20% >       0.46553746               Eva&FHRTY  
10% >       0.50064115                [GCaRk>b,  
6-$95.Y2  
End of Run. i*l=xW;bM  
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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 .`KzA]&#  

图片:3.JPG

D|Tz{DRG  
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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 rLeQBp'  
zBca$Vp  
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                 4K~>  
80% >       0.22748071                 .i;?8?  
50% >       0.38667627                 ]"O*&  
20% >       0.46553746                 5ld?N2<8/  
10% >       0.50064115 Nw,|4S  
Jz0AYiCq  
最后这个数值是MTF值呢，还是MTF的公差？ zk@s#_3ct  
~4#D G^5  
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？？？   %"#ydOy  
r0OP !u  
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  : vr6YE;Rs  
90% >       0.20977951                 @W,<8  
80% >       0.22748071                 mM{cH=  
50% >       0.38667627                 ?O]RQXsZ2  
20% >       0.46553746                 $:A80(#+  
10% >       0.50064115 R
$QhuxT|  
....... d*U<Ww^q  

[e{W:7uFV  
4#t-?5"  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   `'pAiu  
Mode                : Sensitivities g^\!> i  
Sampling            : 2 %E [HMq<H  
Nominal Criterion   : 0.54403234 cVr+Wp7K#|  
Test Wavelength     : 0.6328 T)ISDK4>S"  
V"}Jsr  
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？ 7QoMroR  
Io&HzQW^a  
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