[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 <?{}Bo0xG  
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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 3e6Y
 
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图片:2.jpg

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然后运行分析的结果如下： zHOE.V2Qo  
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Analysis of Tolerances `-EH0'w~"  
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File : E:\光学设计资料\zemax练习\f500.ZMX iq uTT~  
Title: 2C]la  
Date : TUE JUN 21 2011 lJzy)ne  
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Units are Millimeters. 7(~H77  
All changes are computed using linear differences. B%J%TR_  
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Paraxial Focus compensation only. .83v~{n  
!HjNx%o5<  
WARNING: Solves should be removed prior to tolerancing. _|  
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Mnemonics: W_,;eyo  
TFRN: Tolerance on curvature in fringes. ](=wlq)  
TTHI: Tolerance on thickness. 0 {JK4]C  
TSDX: Tolerance on surface decentering in x. iE^a%|?}  
TSDY: Tolerance on surface decentering in y. %|(?!w7  
TSTX: Tolerance on surface tilt in x (degrees). 2vkB<[
tSs  
TSTY: Tolerance on surface tilt in y (degrees). s9rtXBJP  
TIRR: Tolerance on irregularity (fringes). -yAnn  
TIND: Tolerance on Nd index of refraction. CFJjh^ ~=  
TEDX: Tolerance on element decentering in x. 7ITl3>  
TEDY: Tolerance on element decentering in y. d$_q=ywc  
TETX: Tolerance on element tilt in x (degrees). x]R(
twi  
TETY: Tolerance on element tilt in y (degrees). ?S&w0}R  
U7"BlT!V\  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. @\T;PTD-  
O GFE*  
WARNING: Boundary constraints on compensators will be ignored. lgonR  
^5^}MB%  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm {y^|ET7  
Mode                : Sensitivities t+ S
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Sampling            : 2 .^LL9{?  
Nominal Criterion   : 0.54403234 [Yy\>  
Test Wavelength     : 0.6328 II-$WJy  
2b#(X'ob  
f>8B'%]  
Fields: XY Symmetric Angle in degrees =\Vu=I  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY Aa`MK$29F  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 TsX+. i'  
l7'{OB L  
Sensitivity Analysis: v:"m  
~n/Aq*  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| i$bzdc#s  
Type                      Value      Criterion        Change          Value      Criterion        Change j6e}7  
Fringe tolerance on surface 1 ^RV  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 whY~=
lizn  
Change in Focus                :      -0.000000                            0.000000 NuD[-;N]  
Fringe tolerance on surface 2 0F+zG)G"  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 mLg{6qm(q  
Change in Focus                :       0.000000                            0.000000 ;vJ\]T ml  
Fringe tolerance on surface 3 skI(]BDf  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 /^'Bgnez  
Change in Focus                :      -0.000000                            0.000000 9k\)tWe  
Thickness tolerance on surface 1 ';b3Mm #  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 {Z#e{~m#  
Change in Focus                :       0.000000                            0.000000 7$ =Y\P  
Thickness tolerance on surface 2 V#NG+U.B  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 z
j>aaY  
Change in Focus                :       0.000000                           -0.000000 ;}/U+`=D?  
Decenter X tolerance on surfaces 1 through 3 VT% KN`l  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 Dn_"B0$lk  
Change in Focus                :       0.000000                            0.000000 *K(k Kph
 
Decenter Y tolerance on surfaces 1 through 3 H|;*_  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 /mn-+u`K  
Change in Focus                :       0.000000                            0.000000 9c6czirwR^  
Tilt X tolerance on surfaces 1 through 3 (degrees) iiX\it$s  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 > -y&$1  
Change in Focus                :       0.000000                            0.000000 s.yq}Q  
Tilt Y tolerance on surfaces 1 through 3 (degrees) <b d1  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 \.H9$C$  
Change in Focus                :       0.000000                            0.000000 fB~O |g  
Decenter X tolerance on surface 1 ]*N:;J  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 SyK9Is{8  
Change in Focus                :       0.000000                            0.000000 Vd+td;9(  
Decenter Y tolerance on surface 1 p}3NJV  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 #bT8QbJ(  
Change in Focus                :       0.000000                            0.000000 =&A!C"qK4[  
Tilt X tolerance on surface (degrees) 1 #?{qlgv<p  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 sM9FE{,mx  
Change in Focus                :       0.000000                            0.000000 7qe7Fl3  
Tilt Y tolerance on surface (degrees) 1 -<qxO  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 7
\A4vUI3  
Change in Focus                :       0.000000                            0.000000 D~#Ei?aH  
Decenter X tolerance on surface 2 t;8\fIW5  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 _1^8xFe2  
Change in Focus                :       0.000000                            0.000000 AGOx@;w  
Decenter Y tolerance on surface 2 "h=6Q+Ze  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 7J9l.cM3  
Change in Focus                :       0.000000                            0.000000 RU2c*q$^X  
Tilt X tolerance on surface (degrees) 2 "S5S|dBc  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 g(/{.%\k  
Change in Focus                :       0.000000                            0.000000 EM=w?T  
Tilt Y tolerance on surface (degrees) 2 ~U6"?  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 C
jZZm^O  
Change in Focus                :       0.000000                            0.000000 n*Q`g@`  
Decenter X tolerance on surface 3 P|e`^Frxt  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 bGv*-;*  
Change in Focus                :       0.000000                            0.000000 o=pt_!i/  
Decenter Y tolerance on surface 3 ?c!:81+\  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 gH %y  
Change in Focus                :       0.000000                            0.000000 25:Z;J>  
Tilt X tolerance on surface (degrees) 3 3VmI0gsm.>  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 }A]BpSEP  
Change in Focus                :       0.000000                            0.000000 bpCNho$  
Tilt Y tolerance on surface (degrees) 3 gQ37>  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 0n3D~Xzd  
Change in Focus                :       0.000000                            0.000000 '>@4(=I  
Irregularity of surface 1 in fringes _%Bz,C8  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 ?O??cjiA@  
Change in Focus                :       0.000000                            0.000000 x(8n 9Q>  
Irregularity of surface 2 in fringes ?"6Ov ]  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 iq?l#}]  
Change in Focus                :       0.000000                            0.000000 @mf({Q>  
Irregularity of surface 3 in fringes 17}$=#SX  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 Jf7frzw  
Change in Focus                :       0.000000                            0.000000 $;2)s}ci  
Index tolerance on surface 1 \m4T3fy  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 ~-TOsRvxR  
Change in Focus                :       0.000000                            0.000000 z}ElpT[(;  
Index tolerance on surface 2 z{:-!oF&CB  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 V8hO8  
Change in Focus                :       0.000000                           -0.000000 !}y1C
A  
G@gh#[b  
Worst offenders: {.st`n|xz  
Type                      Value      Criterion        Change =m7H)z)i*J  
TSTY   2            -0.20000000     0.35349910    -0.19053324 B5ea(j  
TSTY   2             0.20000000     0.35349910    -0.19053324 $X\va
?(  
TSTX   2            -0.20000000     0.35349910    -0.19053324 -DP*q3  
TSTX   2             0.20000000     0.35349910    -0.19053324 ?}}qu'N:N  
TSTY   1            -0.20000000     0.42678383    -0.11724851 GIT#<+"  
TSTY   1             0.20000000     0.42678383    -0.11724851 !Xj#@e  
TSTX   1            -0.20000000     0.42678383    -0.11724851 Qzqc .T  
TSTX   1             0.20000000     0.42678383    -0.11724851 >"v9iT  
TSTY   3            -0.20000000     0.42861670    -0.11541563 S]^`woD  
TSTY   3             0.20000000     0.42861670    -0.11541563 ~6`iY@)  
-/ +#5.`1  
Estimated Performance Changes based upon Root-Sum-Square method: 0,_b)  
Nominal MTF                 :     0.54403234 PU1,DU  
Estimated change            :    -0.36299231 gbDX7r-  
Estimated MTF               :     0.18104003 A`[@8  
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Compensator Statistics: %MZP)k,&U  
Change in back focus: .oqIZ\iik
 
Minimum            :        -0.000000 \'Ssn(s  
Maximum            :         0.000000 d"E^SBO&  
Mean               :        -0.000000 v4rW2F:X  
Standard Deviation :         0.000000 ]kD"&&HV  
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Monte Carlo Analysis: k?*KnfVh!  
Number of trials: 20 `
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H4:&%"j7  
Initial Statistics: Normal Distribution N\NyXh$  
B
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  Trial       Criterion        Change :z&7W<  
      1     0.42804416    -0.11598818 tF7hFL5f  
Change in Focus                :      -0.400171 x
wi\  
      2     0.54384387    -0.00018847 x|i_P|Z  
Change in Focus                :       1.018470 m&*JMA;^  
      3     0.44510003    -0.09893230 I9?Ec6a_  
Change in Focus                :      -0.601922 Fh8lmOL;?  
      4     0.18154684    -0.36248550 w(9*7pp  
Change in Focus                :       0.920681 E5</h"1  
      5     0.28665820    -0.25737414 *bd[S0l  
Change in Focus                :       1.253875 /3!
fA=+  
      6     0.21263372    -0.33139862 >yB(l
KV  
Change in Focus                :      -0.903878 )Ry<a$Q3  
      7     0.40051424    -0.14351809 UAn&\8g_  
Change in Focus                :      -1.354815 .iG&Lw\,  
      8     0.48754161    -0.05649072 S<`I Jpkv  
Change in Focus                :       0.215922 hI}
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      9     0.40357468    -0.14045766 K/L;8a  
Change in Focus                :       0.281783 Y}s@WJ  
     10     0.26315315    -0.28087919 1yQejw  
Change in Focus                :      -1.048393 1oiRWRe  
     11     0.26120585    -0.28282649 M|,mr~rRG  
Change in Focus                :       1.017611 <\ `$Jx#  
     12     0.24033815    -0.30369419 424(3-/v;  
Change in Focus                :      -0.109292 FAsFjRS  
     13     0.37164046    -0.17239188 W,XTF  
Change in Focus                :      -0.692430 Fv74bC%  
     14     0.48597489    -0.05805744 q_kdCO{:df  
Change in Focus                :      -0.662040 Wp)*Mbq@  
     15     0.21462327    -0.32940907 r [:   
Change in Focus                :       1.611296 "ZwKk G  
     16     0.43378226    -0.11025008 n_?tN\M  
Change in Focus                :      -0.640081 T 20&F  
     17     0.39321881    -0.15081353 [F!Y%Zp  
Change in Focus                :       0.914906 UCWV2Mu  
     18     0.20692530    -0.33710703 lVOu)q@l7g  
Change in Focus                :       0.801607 R:X0'zeRr  
     19     0.51374068    -0.03029165 f>`dF?^6  
Change in Focus                :       0.947293 >-8cU_m7s  
     20     0.38013374    -0.16389860 aJ Z"D8C  
Change in Focus                :       0.667010 km~Ll  
'2^7-3_1  
Number of traceable Monte Carlo files generated: 20 a.N{-2ptH  
VTy9_~q  
Nominal     0.54403234 El\%E"Tk%  
Best        0.54384387    Trial     2 JjaoOe  
Worst       0.18154684    Trial     4 1#IlWEg  
Mean        0.35770970 F8-?dpf'  
Std Dev     0.11156454 ?POUtRN  
%`Z+a.~U  
Od f[*  
Compensator Statistics: xvl3vAN9  
Change in back focus: MZ+^-@X  
Minimum            :        -1.354815 HK`I\,K  
Maximum            :         1.611296 Bn@(zHG+5&  
Mean               :         0.161872 }\J2?Et{  
Standard Deviation :         0.869664 !?c|XdjZ  
.<@8gNm3  
90% >       0.20977951               1`ayc|9BR  
80% >       0.22748071               {|I;YDA  
50% >       0.38667627               _SW3_8SuM.  
20% >       0.46553746               nt*Hc1I  
10% >       0.50064115                ck?YI]q|  
:#@= B]
 
End of Run. AbZKYF P  
}gJ(DbnV  
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 1U
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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 KQB
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8Z(Mvq]f&  
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                 u fw]=h)  
80% >       0.22748071                 \SBc;  
50% >       0.38667627                  iKT[=c  
20% >       0.46553746                 PpAu!2lt9  
10% >       0.50064115 7eAX*Kgt<_  
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最后这个数值是MTF值呢，还是MTF的公差？ G|!on<l&  
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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？？？   d>mo~  
EwvoQ$#jv  
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  : OEA&~4&{7  
90% >       0.20977951                 MyJ%`@+1  
80% >       0.22748071                 0zmE>/O+
 
50% >       0.38667627                 ;-~B)M_S`  
20% >       0.46553746                 g?goZPZB  
10% >       0.50064115 8lvV4
yb  
....... u8&Z!p\  

ls\WXCH  
S&Zm0Ku  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   md)c0Bg8~  
Mode                : Sensitivities ey7 f9  
Sampling            : 2 AVlhNIr  
Nominal Criterion   : 0.54403234 fIn
b[  
Test Wavelength     : 0.6328 +rd|A|hRq  
q;T{|5/O  
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？ lk/n}bx  
0fb2;&pUa  
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