[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 ,?LE5]  
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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 `NhG|g  

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图片:2.jpg

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然后运行分析的结果如下： lAnOO5@8  
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Analysis of Tolerances <IWg]AJT:  
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File : E:\光学设计资料\zemax练习\f500.ZMX cQ1[x>OcU  
Title: "PMJh3q  
Date : TUE JUN 21 2011 & *tL)qKDc  
dQ;8,JzIw&  
Units are Millimeters. M*k,M=sX  
All changes are computed using linear differences. 
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`BZ|[ q3  
Paraxial Focus compensation only. >}wFePl  
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WARNING: Solves should be removed prior to tolerancing. _#M4zO7  
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Mnemonics: HG /fp<[   
TFRN: Tolerance on curvature in fringes. QcWg  
TTHI: Tolerance on thickness. b7hICO-w  
TSDX: Tolerance on surface decentering in x. M2V`|19Q  
TSDY: Tolerance on surface decentering in y. (J4( Ge  
TSTX: Tolerance on surface tilt in x (degrees). Z>UM gu3c  
TSTY: Tolerance on surface tilt in y (degrees). q-CgXwU  
TIRR: Tolerance on irregularity (fringes). Tf=1p1!3  
TIND: Tolerance on Nd index of refraction. ~NE`Ad.G  
TEDX: Tolerance on element decentering in x. `i|!wD,=\  
TEDY: Tolerance on element decentering in y. )09ltr0@"  
TETX: Tolerance on element tilt in x (degrees). PP!/WX  
TETY: Tolerance on element tilt in y (degrees). uj)vh  
E6R\DM  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. 2
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V.8Vy1$  
WARNING: Boundary constraints on compensators will be ignored. xjD$i'V+  
'=G6$O2  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm j0"4X  
Mode                : Sensitivities ^PC;fn,I  
Sampling            : 2 "%Ief4  
Nominal Criterion   : 0.54403234 B4HMs$>   
Test Wavelength     : 0.6328 7*K2zu3  
,2 xD>+=  
I]+OYWp  
Fields: XY Symmetric Angle in degrees l?b*T#uIk  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY zk1]?  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 tSni[,4Kq  
D?d
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Sensitivity Analysis: %<+Ku11  
<k3KCt  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| ^:$ShbX"P  
Type                      Value      Criterion        Change          Value      Criterion        Change f/z]kfgw  
Fringe tolerance on surface 1 SnX)&>B  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 OI0@lSAo<  
Change in Focus                :      -0.000000                            0.000000 N`d%4)|{  
Fringe tolerance on surface 2 uzb|yV'B  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 >B``+Z^2  
Change in Focus                :       0.000000                            0.000000 ,Y| ;V  
Fringe tolerance on surface 3 OW6dK#CFt  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 <}.!G>X  
Change in Focus                :      -0.000000                            0.000000 \d.\M  
Thickness tolerance on surface 1 -|u yJh  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 T+gH38!e  
Change in Focus                :       0.000000                            0.000000 ?ec
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Thickness tolerance on surface 2 3A0Qjj=  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 mQt0?c _  
Change in Focus                :       0.000000                           -0.000000 2zbn8tO  
Decenter X tolerance on surfaces 1 through 3 K[?@nl?,z  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 v.sjWF  
Change in Focus                :       0.000000                            0.000000 h'GOO(  
Decenter Y tolerance on surfaces 1 through 3  6shN%  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 ?Vh#Gr  
Change in Focus                :       0.000000                            0.000000 S&&QU#  
Tilt X tolerance on surfaces 1 through 3 (degrees) yW*,Llb5  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 ^Nds@MR{8'  
Change in Focus                :       0.000000                            0.000000 UCj<FN `  
Tilt Y tolerance on surfaces 1 through 3 (degrees) ru/{s3  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 [_ uT+q3  
Change in Focus                :       0.000000                            0.000000 v=dK2FaY  
Decenter X tolerance on surface 1 o:*$G~. k  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 RH7!3ye  
Change in Focus                :       0.000000                            0.000000 Ps(oxj7  
Decenter Y tolerance on surface 1
2B)1 tP  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 a*&&6Fo  
Change in Focus                :       0.000000                            0.000000 }fef*>>}  
Tilt X tolerance on surface (degrees) 1 aMT=pGU  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 oO7)7$|1  
Change in Focus                :       0.000000                            0.000000 =j20A6gND  
Tilt Y tolerance on surface (degrees) 1 ]R!YRu  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 \QG2V$  
Change in Focus                :       0.000000                            0.000000 3A =\Mb  
Decenter X tolerance on surface 2 eA``fpr  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 ?I+$KjE+  
Change in Focus                :       0.000000                            0.000000 C%ZPWOc_8  
Decenter Y tolerance on surface 2 ']sjW'~  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 +BhJske  
Change in Focus                :       0.000000                            0.000000  JJs*2y  
Tilt X tolerance on surface (degrees) 2 B\aVE|~PB  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 oLq N  
Change in Focus                :       0.000000                            0.000000 |+[Y_j  
Tilt Y tolerance on surface (degrees) 2 6Z=Qs=q  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 Yi[MoYe/K  
Change in Focus                :       0.000000                            0.000000 ~gQYgv<7  
Decenter X tolerance on surface 3 4MzPm~Ct  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 @.)[U:N  
Change in Focus                :       0.000000                            0.000000 :AQ9-&i/a-  
Decenter Y tolerance on surface 3 u"wWekB  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 9@mvG^  
Change in Focus                :       0.000000                            0.000000 rXBCM  
Tilt X tolerance on surface (degrees) 3 c4Q9foE   
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 .kkhW8:  
Change in Focus                :       0.000000                            0.000000 !&.-{ _$  
Tilt Y tolerance on surface (degrees) 3 <dVJV?i;  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 mQSn*;9\T3  
Change in Focus                :       0.000000                            0.000000 QUZ+#*:s  
Irregularity of surface 1 in fringes 'mm>
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TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 1U^KN~!  
Change in Focus                :       0.000000                            0.000000 XWNo)#_3  
Irregularity of surface 2 in fringes RED@|[Qh  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 `|v/qk7 ^?  
Change in Focus                :       0.000000                            0.000000 }J-e:FUF#  
Irregularity of surface 3 in fringes 8^_e>q*W  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 Lm<WT*@  
Change in Focus                :       0.000000                            0.000000 C9""sVs  
Index tolerance on surface 1 @SaxM4  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 qUn+1.[%  
Change in Focus                :       0.000000                            0.000000 !g)rp`?  
Index tolerance on surface 2 EDh-pK  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 QoxQ
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Change in Focus                :       0.000000                           -0.000000 ][#|5UK8L  
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Worst offenders: ;R<V-gab  
Type                      Value      Criterion        Change Bu?Qyz2O  
TSTY   2            -0.20000000     0.35349910    -0.19053324 to1r 88X  
TSTY   2             0.20000000     0.35349910    -0.19053324 s%>8y\MaK  
TSTX   2            -0.20000000     0.35349910    -0.19053324 8TU(5:xJo  
TSTX   2             0.20000000     0.35349910    -0.19053324 p8?"}  
TSTY   1            -0.20000000     0.42678383    -0.11724851 =8rNOi  
TSTY   1             0.20000000     0.42678383    -0.11724851 Tdz#,]Q   
TSTX   1            -0.20000000     0.42678383    -0.11724851 k{hNv|:,  
TSTX   1             0.20000000     0.42678383    -0.11724851 3Z` wU  
TSTY   3            -0.20000000     0.42861670    -0.11541563 -okq=9  
TSTY   3             0.20000000     0.42861670    -0.11541563 K_:2sDCaN  
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Estimated Performance Changes based upon Root-Sum-Square method: 5Fj9.K~k  
Nominal MTF                 :     0.54403234 4%_xTo  
Estimated change            :    -0.36299231 vM$hCV~N  
Estimated MTF               :     0.18104003 agkKm?xIL  
6R$Yh0%  
Compensator Statistics: 28c6~*Te#  
Change in back focus: &#gh :5  
Minimum            :        -0.000000 rKT.~ZP\  
Maximum            :         0.000000 wf\7sz  
Mean               :        -0.000000 D:z_F
NN  
Standard Deviation :         0.000000 ]|=`-)AP3  
lkR^2P
 
Monte Carlo Analysis: PyK!Cyq  
Number of trials: 20 ab.B?bx  
9HlWoHuC  
Initial Statistics: Normal Distribution $e,r>tgD  
YTTij|(  
  Trial       Criterion        Change nII#uI/!q  
      1     0.42804416    -0.11598818 02NVdpo[wU  
Change in Focus                :      -0.400171 <r>Sj/w<D  
      2     0.54384387    -0.00018847 G%zJ4W%  
Change in Focus                :       1.018470 K)+]as  
      3     0.44510003    -0.09893230 \DBEs02  
Change in Focus                :      -0.601922 q"DHMZB  
      4     0.18154684    -0.36248550 vifw
FPe  
Change in Focus                :       0.920681 D`'Cnt/  
      5     0.28665820    -0.25737414 =K|#5p`  
Change in Focus                :       1.253875 >LN*3&W  
      6     0.21263372    -0.33139862 0S'@(p[A  
Change in Focus                :      -0.903878 =VT\$ 5A  
      7     0.40051424    -0.14351809 D&G?Klq  
Change in Focus                :      -1.354815 ~ISY( &  
      8     0.48754161    -0.05649072 7sWe32  
Change in Focus                :       0.215922 qdmAkYUC  
      9     0.40357468    -0.14045766 (\r^0>H  
Change in Focus                :       0.281783 .jC5 y&  
     10     0.26315315    -0.28087919 q@;1{  
Change in Focus                :      -1.048393 .}Ys+d1b9c  
     11     0.26120585    -0.28282649 q4G$I?4  
Change in Focus                :       1.017611 d<HO~+9  
     12     0.24033815    -0.30369419 V}7)>i$A  
Change in Focus                :      -0.109292 P{:Zxli0  
     13     0.37164046    -0.17239188 ^w"hA;  
Change in Focus                :      -0.692430 wPu.hVz  
     14     0.48597489    -0.05805744 ]\oT({$6B  
Change in Focus                :      -0.662040 l]Xbd{  
     15     0.21462327    -0.32940907 A"s?;hv\fS  
Change in Focus                :       1.611296 ur=:Ha  
     16     0.43378226    -0.11025008 4`fV_H.8  
Change in Focus                :      -0.640081 @uN+]e+3  
     17     0.39321881    -0.15081353 _8F;-7Sz  
Change in Focus                :       0.914906 eOkiB!G.  
     18     0.20692530    -0.33710703 j
vD_{r  
Change in Focus                :       0.801607 sDTw</@  
     19     0.51374068    -0.03029165 #3{}(T7  
Change in Focus                :       0.947293 v6[VdWOx5  
     20     0.38013374    -0.16389860 s,!vBSn8  
Change in Focus                :       0.667010 ST~YO  
?z6K/'?  
Number of traceable Monte Carlo files generated: 20 BS,EW  
9V&+xbR&  
Nominal     0.54403234 }|N88PN  
Best        0.54384387    Trial     2 }~ N\A  
Worst       0.18154684    Trial     4 6gO(  8  
Mean        0.35770970 XP:fL NpQ  
Std Dev     0.11156454 v&7<f
$5  
` "-P g5  
>9i>A:  
Compensator Statistics: $>uUn3hSx\  
Change in back focus: ,O:p`"3`0=  
Minimum            :        -1.354815 vWrTB   
Maximum            :         1.611296  7
( Z9\  
Mean               :         0.161872 |`Yn'Mj8rm  
Standard Deviation :         0.869664 yV(9@lj3;  
e{Vn{.i,5  
90% >       0.20977951               N;BuBm5K  
80% >       0.22748071               m_Z(osoE#W  
50% >       0.38667627               &V
SZ  
20% >       0.46553746               K`uPPyv
 
10% >       0.50064115                X&5N89  
gd#?rc*f<3  
End of Run. O;McPw<&\:  
P2iuB|B@  
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 9IrCu?n9b  

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 /YU8L  
NV?XZ[<*<  
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                 <gH-`3J6  
80% >       0.22748071                 V51kX{S  
50% >       0.38667627                 YDYNAOThnb  
20% >       0.46553746                 FV aC8Kw  
10% >       0.50064115 qTwl\dcncC  
@(E6P;+{  
最后这个数值是MTF值呢，还是MTF的公差？ F`(;@LO  
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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？？？  
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|JWYsqJ0U  
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  : zx2`0%Q  
90% >       0.20977951                 ~?fl8RF\  
80% >       0.22748071                 c_+fA  
50% >       0.38667627                 4^:dmeMZ`  
20% >       0.46553746                 e Ru5/y~  
10% >       0.50064115 6Y,&q|K  
....... glU9A39qx?  

O#18a,o@  
}s@IQay+  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   @jMo/kO/A  
Mode                : Sensitivities !]A
/ID0K  
Sampling            : 2 I{U|'a  
Nominal Criterion   : 0.54403234 g4Dck4^!4  
Test Wavelength     : 0.6328 qk3~]</  
BxlhCu  
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？ !- QB>`7$  
b3%a4Gg&  
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