[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 ``wS
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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 Djg,Lvhm  
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图片:2.jpg

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然后运行分析的结果如下： :Nz9xD$S5  
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Analysis of Tolerances PYGRsrcFd#  
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File : E:\光学设计资料\zemax练习\f500.ZMX y&V@^"`  
Title: =3L;Z[^9  
Date : TUE JUN 21 2011 Z<vKQ4G  
V#iPj'*   
Units are Millimeters. p6;OL@\~  
All changes are computed using linear differences. r-Pkfy(  
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Paraxial Focus compensation only. 8uWa=C)  
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WARNING: Solves should be removed prior to tolerancing. lhqg$lb  
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Mnemonics: \SBc;  
TFRN: Tolerance on curvature in fringes. INJEsz  
TTHI: Tolerance on thickness. k7T`bYv  
TSDX: Tolerance on surface decentering in x. U H*r5o3  
TSDY: Tolerance on surface decentering in y. c-(UhN3WG  
TSTX: Tolerance on surface tilt in x (degrees). Dy:|g1>  
TSTY: Tolerance on surface tilt in y (degrees). |aVn&qK  
TIRR: Tolerance on irregularity (fringes). (jAg_$6  
TIND: Tolerance on Nd index of refraction. ?vbvBu{a  
TEDX: Tolerance on element decentering in x. `Tv[DIVW  
TEDY: Tolerance on element decentering in y. njputEGX  
TETX: Tolerance on element tilt in x (degrees). eS~LF.^Jw  
TETY: Tolerance on element tilt in y (degrees). ?`PvL!'  
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WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. 5:KQg  
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WARNING: Boundary constraints on compensators will be ignored. Pu"P9  
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Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm Xg;}R:g '  
Mode                : Sensitivities \RC'XKQ*n  
Sampling            : 2 ?gt l)q  
Nominal Criterion   : 0.54403234 *^VRGfpb
 
Test Wavelength     : 0.6328 \D*KGd]M0  
V<T9&8l+:  
6\q]rfQ  
Fields: XY Symmetric Angle in degrees K3#@SYj  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 6[ j.@[t  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 b?tB(if!I  

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Sensitivity Analysis: x"~8*V'0  
#."-#"0  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| Q7jb'y$ozO  
Type                      Value      Criterion        Change          Value      Criterion        Change z`f($t[  
Fringe tolerance on surface 1 #_^Lb]jkM  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 Ac2n  
Change in Focus                :      -0.000000                            0.000000 l3ko?k  
Fringe tolerance on surface 2 ix)M`F%P3  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 $QLcH;+7t  
Change in Focus                :       0.000000                            0.000000 Ch<[l8;K  
Fringe tolerance on surface 3 Qp_i
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TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 |EX(8y  
Change in Focus                :      -0.000000                            0.000000 #P0&ewy  
Thickness tolerance on surface 1 Krqtf  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 +0nJ  
Change in Focus                :       0.000000                            0.000000 g| I6'K!<  
Thickness tolerance on surface 2 :VRNs  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 keL&b/@  
Change in Focus                :       0.000000                           -0.000000 v$?+MNks  
Decenter X tolerance on surfaces 1 through 3 mwHB(7YS,  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 8]/bK5`  
Change in Focus                :       0.000000                            0.000000 Vc\MV0lr  
Decenter Y tolerance on surfaces 1 through 3 chM%]|gey  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 <Tzrj1"Q3  
Change in Focus                :       0.000000                            0.000000 %)zodf  
Tilt X tolerance on surfaces 1 through 3 (degrees) Vc&!OE  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 3no%E03p  
Change in Focus                :       0.000000                            0.000000 V5V bJBpf  
Tilt Y tolerance on surfaces 1 through 3 (degrees) S9]'?|  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 E7j(QOf  
Change in Focus                :       0.000000                            0.000000 [9evz}X  
Decenter X tolerance on surface 1 PUp6Q;AdQ  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 ayR-\mZ  
Change in Focus                :       0.000000                            0.000000 1"MhGNynB>  
Decenter Y tolerance on surface 1 [1g8*j~L  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 [=6]+V83M  
Change in Focus                :       0.000000                            0.000000 #rMlI3;  
Tilt X tolerance on surface (degrees) 1 ;=)k<6  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 Dp,L/1GQ8  
Change in Focus                :       0.000000                            0.000000 #+ 0M2Sa  
Tilt Y tolerance on surface (degrees) 1 Lb:g4A"  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 V_:1EBzz  
Change in Focus                :       0.000000                            0.000000 ,w<S|#W~+  
Decenter X tolerance on surface 2 sJL&:!}V>  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 j4gF;-m<  
Change in Focus                :       0.000000                            0.000000 nLbFg0?+t  
Decenter Y tolerance on surface 2 Ns
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TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 1H? u Qy  
Change in Focus                :       0.000000                            0.000000 t<.)Z-Ii  
Tilt X tolerance on surface (degrees) 2 7zXvnxYE  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324
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Change in Focus                :       0.000000                            0.000000 X`kk]8=  
Tilt Y tolerance on surface (degrees) 2 'f!8DGix  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 cLpYW7vZ[  
Change in Focus                :       0.000000                            0.000000 [+2[`K c]  
Decenter X tolerance on surface 3 ##,a0s^  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 XKj|f`  
Change in Focus                :       0.000000                            0.000000 n\Z!ff/  
Decenter Y tolerance on surface 3 g
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TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 _C%3h5  
Change in Focus                :       0.000000                            0.000000 :;t:H] f  
Tilt X tolerance on surface (degrees) 3 "jeb%k  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 :3v}kLO7|  
Change in Focus                :       0.000000                            0.000000 Yg]-wQrH  
Tilt Y tolerance on surface (degrees) 3 + [iQLM?zo  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 uw>Ba %5  
Change in Focus                :       0.000000                            0.000000 SE@LYeC}dE  
Irregularity of surface 1 in fringes %aG5F}S2~  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 k^3>Y%^1  
Change in Focus                :       0.000000                            0.000000 [_R~%Yh+'E  
Irregularity of surface 2 in fringes }NHaCG[,  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 p|X"@kuseO  
Change in Focus                :       0.000000                            0.000000 Qf~vZtJ+J  
Irregularity of surface 3 in fringes <GS^  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 DrKP%BnS  
Change in Focus                :       0.000000                            0.000000 B]nEkO'a:  
Index tolerance on surface 1 BRw .]&/  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 yZ0-wI  
Change in Focus                :       0.000000                            0.000000 w$3,A$8  
Index tolerance on surface 2 ~8'sBT  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 ePOG}k($/%  
Change in Focus                :       0.000000                           -0.000000 $t$Sh
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Worst offenders: Nyku4r0  
Type                      Value      Criterion        Change Z;ht  
TSTY   2            -0.20000000     0.35349910    -0.19053324 ;v}GJ
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TSTY   2             0.20000000     0.35349910    -0.19053324 %f&/E"M  
TSTX   2            -0.20000000     0.35349910    -0.19053324 QyEnpZ8?a  
TSTX   2             0.20000000     0.35349910    -0.19053324 /C:Y94B-z  
TSTY   1            -0.20000000     0.42678383    -0.11724851 G)EU_UE9  
TSTY   1             0.20000000     0.42678383    -0.11724851 8}I$'x  
TSTX   1            -0.20000000     0.42678383    -0.11724851 qzYwt]GNS  
TSTX   1             0.20000000     0.42678383    -0.11724851 [;n9:Qxf  
TSTY   3            -0.20000000     0.42861670    -0.11541563 R3 -n>
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TSTY   3             0.20000000     0.42861670    -0.11541563 K^ vIUZ>  
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Estimated Performance Changes based upon Root-Sum-Square method: E-T)*`e  
Nominal MTF                 :     0.54403234 C8J[Up  
Estimated change            :    -0.36299231 rMdt:`  
Estimated MTF               :     0.18104003 Ot4 Z{mA  
S3q&rqarC%  
Compensator Statistics: UFXaEl}R   
Change in back focus: v"y-0$M  
Minimum            :        -0.000000 %^?fMeI|Y  
Maximum            :         0.000000 TJ10s%,V  
Mean               :        -0.000000 cq,SP&T~
 
Standard Deviation :         0.000000 wg9t)1k{e  
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Monte Carlo Analysis: m]'#t)B_m  
Number of trials: 20 7BE>RE=)  
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Initial Statistics: Normal Distribution ;;!yC  
GA$V0YQX  
  Trial       Criterion        Change OSRp0G20k\  
      1     0.42804416    -0.11598818 Y4J3-wK5  
Change in Focus                :      -0.400171
h=W:^@G  
      2     0.54384387    -0.00018847 h1j!IG  
Change in Focus                :       1.018470 ,1y@Z 5wy  
      3     0.44510003    -0.09893230 1auIR/=-  
Change in Focus                :      -0.601922 W\>fh&!)  
      4     0.18154684    -0.36248550 Q)~aiI0  
Change in Focus                :       0.920681 qLO4#CKCL6  
      5     0.28665820    -0.25737414 ]3D0R;  
Change in Focus                :       1.253875 BGvre'67  
      6     0.21263372    -0.33139862 S(k3 `;K  
Change in Focus                :      -0.903878 =rMUov h  
      7     0.40051424    -0.14351809 pd:WEI ,  
Change in Focus                :      -1.354815 piJu+tUy  
      8     0.48754161    -0.05649072 r)Ma3FL0;  
Change in Focus                :       0.215922 G0CW}e@)  
      9     0.40357468    -0.14045766 [u =+3b  
Change in Focus                :       0.281783 8+~ >E  
     10     0.26315315    -0.28087919 6gL#C&  
Change in Focus                :      -1.048393 
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     11     0.26120585    -0.28282649 MR;1 2*p  
Change in Focus                :       1.017611 DEBB()6,  
     12     0.24033815    -0.30369419 I&fozO   
Change in Focus                :      -0.109292 OTvPUkp*
 
     13     0.37164046    -0.17239188 )cX*I gO  
Change in Focus                :      -0.692430 IQAZuN"<  
     14     0.48597489    -0.05805744 .8 2P(}h  
Change in Focus                :      -0.662040 >f|||H}Snw  
     15     0.21462327    -0.32940907 034iK[ib"  
Change in Focus                :       1.611296 ?1*cO:O  
     16     0.43378226    -0.11025008 ^-TE([bW  
Change in Focus                :      -0.640081 r7RIRg_  
     17     0.39321881    -0.15081353 ;@0;pY  
Change in Focus                :       0.914906 /}((l%UE.  
     18     0.20692530    -0.33710703 E:,/!9n  
Change in Focus                :       0.801607 ?so=;gh  
     19     0.51374068    -0.03029165 4(#'_jS  
Change in Focus                :       0.947293 kVuUjP6(c  
     20     0.38013374    -0.16389860 vt/x ,Y  
Change in Focus                :       0.667010 v3*_9e  

X@--m6-  
Number of traceable Monte Carlo files generated: 20
t*=CZE-  
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Nominal     0.54403234
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Best        0.54384387    Trial     2 DRSr%d  
Worst       0.18154684    Trial     4 O;+ m
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Mean        0.35770970 'S20\hwt-  
Std Dev     0.11156454 t0(A4E  
CLxynZ\;  
1m'k|Ka  
Compensator Statistics: aFl;BhM  
Change in back focus: L\37xJo  
Minimum            :        -1.354815 '<gI8W</  
Maximum            :         1.611296 1ufp qqk  
Mean               :         0.161872 S%$ }(  
Standard Deviation :         0.869664 loEP
r5bL  
I~[F|d>  
90% >       0.20977951               @CNi{. RX
 
80% >       0.22748071               -5)H<dAQZ  
50% >       0.38667627               q?H|o(  
20% >       0.46553746               S~<$Hy*kh  
10% >       0.50064115                $1SPy|y  
|sa]F5  
End of Run. .zr-:L5{  
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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 _H9 MwJ  

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 ?'IP4z;y  
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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                 .28<tEf  
80% >       0.22748071                 evenq$ H  
50% >       0.38667627                 f0!))/rSD  
20% >       0.46553746                 P=qa::A  
10% >       0.50064115 1v#%Ei$6`t  
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最后这个数值是MTF值呢，还是MTF的公差？ ]{!U@b  
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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？？？   MlcR"gl*  
?llXd4  
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  : A]<y:^2])C  
90% >       0.20977951                 t 4PK}>QW  
80% >       0.22748071                 3e #p@sB  
50% >       0.38667627                 +Um( h-;  
20% >       0.46553746                 56
}U8X  
10% >       0.50064115 k;2GEa]w  
....... t,QyfN  

X]'{(?Ch  
lun#^J  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   wy yWyf
  
Mode                : Sensitivities 4F)-"ck  
Sampling            : 2 hq%?=2'9?  
Nominal Criterion   : 0.54403234 $Oq^jUJ  
Test Wavelength     : 0.6328 uPhK3nCGo  
vBRQp&Yw
X  
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？ y6LWx:  
!LggIk1  
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