[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 2^\67@9  
LrL ZlJf  

图片:1.JPG

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然后添加了默认公差分析，基本没变 zHEH?xZ6sD  
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图片:2.jpg

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然后运行分析的结果如下： KTQy pv  
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Analysis of Tolerances 2EU((Q`>=(  
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File : E:\光学设计资料\zemax练习\f500.ZMX 3.c0PRZ  
Title: gHB*u!w7Z  
Date : TUE JUN 21 2011 gE_i#=bw  
=.sg$VX  
Units are Millimeters. 5\?\|*WT  
All changes are computed using linear differences. u@"nVHgMJ  
;g:!WXd  
Paraxial Focus compensation only. 2!7)7wlj0  
3[RP:W@%  
WARNING: Solves should be removed prior to tolerancing. uVQH,NA,  
9}=]oX!+V  
Mnemonics: OrZ=-9"  
TFRN: Tolerance on curvature in fringes. n.323tNY  
TTHI: Tolerance on thickness. OIqisQ7ZB  
TSDX: Tolerance on surface decentering in x. 0|D^_1W`R  
TSDY: Tolerance on surface decentering in y. d"P\ =`+  
TSTX: Tolerance on surface tilt in x (degrees). '1jG?D  
TSTY: Tolerance on surface tilt in y (degrees). vz[-8m:f  
TIRR: Tolerance on irregularity (fringes). @lYm2l^  
TIND: Tolerance on Nd index of refraction. r
}9a31i  
TEDX: Tolerance on element decentering in x. %ja8DRQ.  
TEDY: Tolerance on element decentering in y. 74h[YyVi  
TETX: Tolerance on element tilt in x (degrees). fW'@+<b  
TETY: Tolerance on element tilt in y (degrees). T[z}^"  
~)ecQ  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. $wQk
Tx  
`2B,+ytW8  
WARNING: Boundary constraints on compensators will be ignored. |2YkZ nJn  
O]XdPH20  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm ?tf/#5t}  
Mode                : Sensitivities BkH- d z  
Sampling            : 2 }Sxuc/%:  
Nominal Criterion   : 0.54403234 :cvZk|b%  
Test Wavelength     : 0.6328 Ez= Q{g  
JB_<Haj  
/^F_~.u{  
Fields: XY Symmetric Angle in degrees /9K,W)h_  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY #]~l]Eq  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 &yQilyU{V  
\e=Iw"yd  
Sensitivity Analysis: \BoRYb9h  
`YK2hr  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------|  wfecM(  
Type                      Value      Criterion        Change          Value      Criterion        Change e]1&f.K  
Fringe tolerance on surface 1 }k`-n32)|  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 5`!Bj0Uf  
Change in Focus                :      -0.000000                            0.000000 6 aE:vR2  
Fringe tolerance on surface 2 QM"\;l??  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 Mdj?;'Yv  
Change in Focus                :       0.000000                            0.000000 rzR=% >
 
Fringe tolerance on surface 3 z vM=k-Ec  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 86bRfW'  
Change in Focus                :      -0.000000                            0.000000  ?^8CD.|  
Thickness tolerance on surface 1

,C=Lu9  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 GH6HdZ  
Change in Focus                :       0.000000                            0.000000 f>*D@TrU  
Thickness tolerance on surface 2 k2"DFXsv  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 h~!KNF*XW  
Change in Focus                :       0.000000                           -0.000000 hPb erc2  
Decenter X tolerance on surfaces 1 through 3 0ESxsba  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 *an^ 0  
Change in Focus                :       0.000000                            0.000000 _F2R x@Y  
Decenter Y tolerance on surfaces 1 through 3 JlM0]__v  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 ~x!"(  
Change in Focus                :       0.000000                            0.000000 s>RtCw3,  
Tilt X tolerance on surfaces 1 through 3 (degrees) d){o#@  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 +b9gP\Hke  
Change in Focus                :       0.000000                            0.000000 ?4[IIX-  
Tilt Y tolerance on surfaces 1 through 3 (degrees) b3h3$kIYN  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 $$,/F  
Change in Focus                :       0.000000                            0.000000 G$eA(GE  
Decenter X tolerance on surface 1 hS( )OY  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 E1=WH-iA0  
Change in Focus                :       0.000000                            0.000000 kF1Tg KSd  
Decenter Y tolerance on surface 1 }o'WR'LX  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 ~]d3 f  
Change in Focus                :       0.000000                            0.000000 ~6<'cun@x  
Tilt X tolerance on surface (degrees) 1 BE#s@-zR=p  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 {\SJr:  
Change in Focus                :       0.000000                            0.000000 b3zxiq x  
Tilt Y tolerance on surface (degrees) 1 [i9.#*  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 ;Nd,K C0k  
Change in Focus                :       0.000000                            0.000000 ;cFlZGw   
Decenter X tolerance on surface 2 6*{sZMG  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 C:?mOM#_  
Change in Focus                :       0.000000                            0.000000 :4&q2-  
Decenter Y tolerance on surface 2 y<h~jz#hkq  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 G1X${x7  
Change in Focus                :       0.000000                            0.000000 <r8sZrY  
Tilt X tolerance on surface (degrees) 2 4@Q`8N.  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 e[>c>F^  
Change in Focus                :       0.000000                            0.000000 GY%2
EM(  
Tilt Y tolerance on surface (degrees) 2 wa)E.(x  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 THOXs; k0  
Change in Focus                :       0.000000                            0.000000 PQ#zF&gL9t  
Decenter X tolerance on surface 3 lCX*Q{s22  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 J%:D%=9 )  
Change in Focus                :       0.000000                            0.000000 )6t=Bel  
Decenter Y tolerance on surface 3 3YFbT Z  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 k)a3j{{  
Change in Focus                :       0.000000                            0.000000 RqONVytx  
Tilt X tolerance on surface (degrees) 3 2i4&*&A  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 S5,y!K]C~  
Change in Focus                :       0.000000                            0.000000 ~8j4IO(  
Tilt Y tolerance on surface (degrees) 3 |([|F|"  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 (FY<%.Pa  
Change in Focus                :       0.000000                            0.000000 b:c$EPK  
Irregularity of surface 1 in fringes O1 KT  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 %xJ6t5.-  
Change in Focus                :       0.000000                            0.000000 GY3g`M   
Irregularity of surface 2 in fringes o)M=; !  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 3jJd)C R  
Change in Focus                :       0.000000                            0.000000 KkCA*GS  
Irregularity of surface 3 in fringes FUD M]:XQ  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 ,WA[HwY-  
Change in Focus                :       0.000000                            0.000000 4)DI0b"  
Index tolerance on surface 1 v5/2-<6x  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 Cb1fTl%  
Change in Focus                :       0.000000                            0.000000 ]E:P-xTwaI  
Index tolerance on surface 2 9iwSE(},  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 1B5]1&M  
Change in Focus                :       0.000000                           -0.000000 HTa]T'  
 hb,G'IU  
Worst offenders: e*Y>+*2y  
Type                      Value      Criterion        Change G|LJOq7QB  
TSTY   2            -0.20000000     0.35349910    -0.19053324 T+q3]&  
TSTY   2             0.20000000     0.35349910    -0.19053324 _P:}]5-|  
TSTX   2            -0.20000000     0.35349910    -0.19053324 j@98UZ{g\  
TSTX   2             0.20000000     0.35349910    -0.19053324 `nvm>u~[Hq  
TSTY   1            -0.20000000     0.42678383    -0.11724851 U7(t >/  
TSTY   1             0.20000000     0.42678383    -0.11724851 zQt"i`{U  
TSTX   1            -0.20000000     0.42678383    -0.11724851 Or2J  
TSTX   1             0.20000000     0.42678383    -0.11724851 (9A`[TRwi  
TSTY   3            -0.20000000     0.42861670    -0.11541563 kuZs30^  
TSTY   3             0.20000000     0.42861670    -0.11541563 v<Ozr:lL  
c[6=&  
Estimated Performance Changes based upon Root-Sum-Square method: WS7a]~3'  
Nominal MTF                 :     0.54403234 #A@d;U%  
Estimated change            :    -0.36299231 RoY"Haa  
Estimated MTF               :     0.18104003 {0ozpE*(  
?%]?#4bkc  
Compensator Statistics: tnn,lWu|  
Change in back focus: g3h:oQCS  
Minimum            :        -0.000000 ?04$1n:  
Maximum            :         0.000000 8#_"WzDw  
Mean               :        -0.000000 yaw33/iN  
Standard Deviation :         0.000000 Aq5@k\[  
7XDze(O5  
Monte Carlo Analysis: Y;B#_}yF  
Number of trials: 20 fN
-y8  
hj*Fn  
Initial Statistics: Normal Distribution /iwL$xQQ  
b~L8m4L  
  Trial       Criterion        Change @:M?Re`L  
      1     0.42804416    -0.11598818 "{X_[  
Change in Focus                :      -0.400171 %(v<aEQtt  
      2     0.54384387    -0.00018847 @0qDhv s  
Change in Focus                :       1.018470 )h&*b9[B=  
      3     0.44510003    -0.09893230 4or8fG  
Change in Focus                :      -0.601922 k@RIM(^t  
      4     0.18154684    -0.36248550 ywl7bU-f  
Change in Focus                :       0.920681 $mF(6<w  
      5     0.28665820    -0.25737414 1oVjx_I5y  
Change in Focus                :       1.253875 $(PWN6{\r^  
      6     0.21263372    -0.33139862 g218%i  
Change in Focus                :      -0.903878 6j{O/  
      7     0.40051424    -0.14351809 }aJ
K^>^>A  
Change in Focus                :      -1.354815 OBBEsD/bc  
      8     0.48754161    -0.05649072 SaA9)s  
Change in Focus                :       0.215922 ]di9dLT  
      9     0.40357468    -0.14045766 ~p'DPg4  
Change in Focus                :       0.281783 h5>38Kd  
     10     0.26315315    -0.28087919 aN}l&4d  
Change in Focus                :      -1.048393 FE[{*8  
     11     0.26120585    -0.28282649 7K\H_YY8#  
Change in Focus                :       1.017611 j1hx{P'  
     12     0.24033815    -0.30369419 `tjH#
W`  
Change in Focus                :      -0.109292 @m99xF\e  
     13     0.37164046    -0.17239188 SB<09|2  
Change in Focus                :      -0.692430 cz6\qSh\,  
     14     0.48597489    -0.05805744 "v9i;Ba>+  
Change in Focus                :      -0.662040 ZR|cZH1}C  
     15     0.21462327    -0.32940907 r!,/~~mT  
Change in Focus                :       1.611296 jh*aD=y  
     16     0.43378226    -0.11025008 &
8^1:CcE  
Change in Focus                :      -0.640081 O:
>9yZhV  
     17     0.39321881    -0.15081353 AWqc?K@   
Change in Focus                :       0.914906 oP0ZJK&;  
     18     0.20692530    -0.33710703 n!>#o1Qr  
Change in Focus                :       0.801607 ^HM9'*&KJ  
     19     0.51374068    -0.03029165
oO8opS7F  
Change in Focus                :       0.947293 kpU-//lk+  
     20     0.38013374    -0.16389860 u3XQ<N{Gj  
Change in Focus                :       0.667010 "k%B;!We)  
k"V@9q;*  
Number of traceable Monte Carlo files generated: 20 V
(LE4P1  
w' gKE'c  
Nominal     0.54403234 $kM8E@x2  
Best        0.54384387    Trial     2 ji~P?5(:  
Worst       0.18154684    Trial     4 0k7kmDW  
Mean        0.35770970 6'^Gh B  
Std Dev     0.11156454 PM A61g  
V,W":&!x  
WV8?zB1  
Compensator Statistics: O(Tdn;1  
Change in back focus: nY
F *f  
Minimum            :        -1.354815 .bT|:Q~@{  
Maximum            :         1.611296 UJX=lh.o  
Mean               :         0.161872 oF(<}0Z  
Standard Deviation :         0.869664 = Nd&My  
ZvS|a~jO  
90% >       0.20977951               .-(s`2  
80% >       0.22748071               9j6  
50% >       0.38667627               ny,a5zEnF  
20% >       0.46553746               }?vc1%w  
10% >       0.50064115                S/XkxGZ2  
|4XR [eX  
End of Run. ;Npv 2yAab  
\s[/{3  
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 tluyx  

图片:3.JPG

G\S>H  
6a=Y_fma  
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 %](H?'H  
~D9VjXfL)  
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                 tkG0xRH  
80% >       0.22748071                 CXQPbt[5  
50% >       0.38667627                 w :w  
20% >       0.46553746                 f|*vWHSM  
10% >       0.50064115 u7e g:0Y  
A-GRuC  
最后这个数值是MTF值呢，还是MTF的公差？ }^Unx W  
1D0_k  
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？？？   Zm:Wig ,a  
,u^S(vxyz  
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  : *M_.>".P  
90% >       0.20977951                 ,.`";='o  
80% >       0.22748071                 b;&
J2:`  
50% >       0.38667627                 P5ii3a?R  
20% >       0.46553746                 Aa;R_Jz  
10% >       0.50064115 W"fdK_F\  
....... YF=@nR$_~j  

+[9~ta|j  
uG\+`[-{0  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   B`a5%asJn  
Mode                : Sensitivities __""!Yz  
Sampling            : 2 4J2NIFZ  
Nominal Criterion   : 0.54403234 4YkH;!M>ji  
Test Wavelength     : 0.6328 ([s}bD.9  
GmN} +(  
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？ J0w[vrs&]  
Mw7 ~:O`  
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