[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 +bU(-yRy5o  
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然后添加了默认公差分析，基本没变 =s<QN*zJB0  
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然后运行分析的结果如下： $@X,J
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Analysis of Tolerances 54-x 14")  
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File : E:\光学设计资料\zemax练习\f500.ZMX 3dfSu'  
Title: A2 rRYzN;  
Date : TUE JUN 21 2011 ,KWeW^z'7  
'=xl}v  
Units are Millimeters. y!].l0e2a  
All changes are computed using linear differences. 
H.e@w3+h  
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Paraxial Focus compensation only. 9dAs
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i "xq SLf=  
WARNING: Solves should be removed prior to tolerancing. dBkB9nz  
1Y_fX  
Mnemonics: !G37K8&&*  
TFRN: Tolerance on curvature in fringes. Mmn[ol
  
TTHI: Tolerance on thickness. `*B8IT)  
TSDX: Tolerance on surface decentering in x. HukHZ;5  
TSDY: Tolerance on surface decentering in y. .,4&/cd  
TSTX: Tolerance on surface tilt in x (degrees). o3yZCz  
TSTY: Tolerance on surface tilt in y (degrees). mDhU wZH  
TIRR: Tolerance on irregularity (fringes). 5 m:nh<)#  
TIND: Tolerance on Nd index of refraction. Nz8iU@!a  
TEDX: Tolerance on element decentering in x. *)Y;`Yg$  
TEDY: Tolerance on element decentering in y. BFY~::<b  
TETX: Tolerance on element tilt in x (degrees). mdwY48b  
TETY: Tolerance on element tilt in y (degrees). 'W)x<Iey1  
-kkXyO8js  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. [Z1EjeX  
%(i(ZW "  
WARNING: Boundary constraints on compensators will be ignored. }-!$KR]:s  
({)_[dJ'  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm i ):el=  
Mode                : Sensitivities FU<rE&X2:  
Sampling            : 2 RZ -w,~  
Nominal Criterion   : 0.54403234 r&#q=R},p  
Test Wavelength     : 0.6328 d 1z   
IMBqy-q  
{Su]P {oJ  
Fields: XY Symmetric Angle in degrees {\k9%2V*+  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY IBR;q[Dj}  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 SL(Q;_  
Y?> S
.B7  
Sensitivity Analysis: |Q$C%7  
R1U\/  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| /g21.*Z  
Type                      Value      Criterion        Change          Value      Criterion        Change dK=BH=S2?X  
Fringe tolerance on surface 1 uzsR*x%s-  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 oY{*X6:6<  
Change in Focus                :      -0.000000                            0.000000 =w8*
n2  
Fringe tolerance on surface 2 q,2 @X~T  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 ?[kO= hs  
Change in Focus                :       0.000000                            0.000000 ;qvZ*  
Fringe tolerance on surface 3 *H;&hq  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 E3`KO'v%  
Change in Focus                :      -0.000000                            0.000000 B]jh$@  
Thickness tolerance on surface 1 ;$nK ^  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 P0W%30Dh  
Change in Focus                :       0.000000                            0.000000 n^'{{@&(v  
Thickness tolerance on surface 2 1r@v \#P  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 `toSU>:  
Change in Focus                :       0.000000                           -0.000000 MjHeUf
 
Decenter X tolerance on surfaces 1 through 3 7"M7N^  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 -i9/1.Z  
Change in Focus                :       0.000000                            0.000000 }(gXlF  
Decenter Y tolerance on surfaces 1 through 3 ;DGp7f#9  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 KExfa4W 3{  
Change in Focus                :       0.000000                            0.000000 5e/%Tue.  
Tilt X tolerance on surfaces 1 through 3 (degrees) $UKDXQF"  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 7%JXVP}A  
Change in Focus                :       0.000000                            0.000000 v%_sCg  
Tilt Y tolerance on surfaces 1 through 3 (degrees) `OduBUI]]  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 i`
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Change in Focus                :       0.000000                            0.000000 9~a_^m/  
Decenter X tolerance on surface 1 5^pQ=Sgt  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 )Y)7p//  
Change in Focus                :       0.000000                            0.000000 j+s8V-7(  
Decenter Y tolerance on surface 1 K":-zS  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 YV0e)bf  
Change in Focus                :       0.000000                            0.000000 Dt8eVWkN~  
Tilt X tolerance on surface (degrees) 1 _w)0r}{  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851
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Change in Focus                :       0.000000                            0.000000 d ;
ry!X  
Tilt Y tolerance on surface (degrees) 1 NJn~XCq  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 w W-GBY3  
Change in Focus                :       0.000000                            0.000000 5C/u`{4]Hg  
Decenter X tolerance on surface 2 s9@IOE GAt  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 &u$l2hSS  
Change in Focus                :       0.000000                            0.000000 E|#'u^`yv  
Decenter Y tolerance on surface 2 u{8Wu;  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 H,] D}r  
Change in Focus                :       0.000000                            0.000000 gm4-w 9M[p  
Tilt X tolerance on surface (degrees) 2 @"Do8p!*(6  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 g~N)~]0{  
Change in Focus                :       0.000000                            0.000000 *_U z**M  
Tilt Y tolerance on surface (degrees) 2 _M{m6k(h  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 &AA u:  
Change in Focus                :       0.000000                            0.000000 _Tev503  
Decenter X tolerance on surface 3 (n#  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 =yk#z84<  
Change in Focus                :       0.000000                            0.000000 ==Ju2D?%  
Decenter Y tolerance on surface 3 ^k~{6S,  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 T7&itgEYG/  
Change in Focus                :       0.000000                            0.000000 U.d*E/OR5  
Tilt X tolerance on surface (degrees) 3 R0{+Xd  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 3 nb3rHQ  
Change in Focus                :       0.000000                            0.000000 0s=GM|y  
Tilt Y tolerance on surface (degrees) 3 _k _F  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 LTG/gif[u  
Change in Focus                :       0.000000                            0.000000 F^KoEWj[H  
Irregularity of surface 1 in fringes WF_G GF{  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 LKztGfy  
Change in Focus                :       0.000000                            0.000000 l0Y(9(M@  
Irregularity of surface 2 in fringes DH@*O
z-  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 R>#T{<<L  
Change in Focus                :       0.000000                            0.000000 (]'4_
~e  
Irregularity of surface 3 in fringes zaR~fO  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 j @sd x)1+  
Change in Focus                :       0.000000                            0.000000 /
\h&t6B1  
Index tolerance on surface 1 uflp4_D   
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 X=_N7!  
Change in Focus                :       0.000000                            0.000000 XA>@0E>1r  
Index tolerance on surface 2 i7:j(W^I8  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 j =[Td  
Change in Focus                :       0.000000                           -0.000000 4LKOBiEM  
RVX-3FvP  
Worst offenders: 4e1Zyi!  
Type                      Value      Criterion        Change %;9wToyK>  
TSTY   2            -0.20000000     0.35349910    -0.19053324 8M8=
uw~#  
TSTY   2             0.20000000     0.35349910    -0.19053324 %F1 Ce/  
TSTX   2            -0.20000000     0.35349910    -0.19053324 sm/l'e  
TSTX   2             0.20000000     0.35349910    -0.19053324 wIL5-k,  
TSTY   1            -0.20000000     0.42678383    -0.11724851 cD]{ Nn  
TSTY   1             0.20000000     0.42678383    -0.11724851 n+j'FfSz  
TSTX   1            -0.20000000     0.42678383    -0.11724851 rEz=\yY^j'  
TSTX   1             0.20000000     0.42678383    -0.11724851 5H`k$[3V  
TSTY   3            -0.20000000     0.42861670    -0.11541563 &`0heJ 5Yn  
TSTY   3             0.20000000     0.42861670    -0.11541563 `QAotSO+  
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Estimated Performance Changes based upon Root-Sum-Square method: $v$
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Nominal MTF                 :     0.54403234 ~~b[X\1  
Estimated change            :    -0.36299231 u%3Z +[  
Estimated MTF               :     0.18104003 ,`)!K}2  
#2{ };)  
Compensator Statistics: =AGsW  
Change in back focus: |'b=xeH.^<  
Minimum            :        -0.000000 }=az6cLE2  
Maximum            :         0.000000 jvCk+n[  
Mean               :        -0.000000 2Pasmh  
Standard Deviation :         0.000000 ?UQE;0 B  
0:Ak4L6k  
Monte Carlo Analysis: 7-Fh!=\f/  
Number of trials: 20 %dKUB4  
>& \QLo[5  
Initial Statistics: Normal Distribution `4gm'C  
6ZR'1_i6i=  
  Trial       Criterion        Change 9=K=gfZ  
      1     0.42804416    -0.11598818 O.
 V!L  
Change in Focus                :      -0.400171 l%rwJLN1  
      2     0.54384387    -0.00018847 CXb)k.L  
Change in Focus                :       1.018470 7P.C~,+D%P  
      3     0.44510003    -0.09893230 f'TdYG  
Change in Focus                :      -0.601922 b-;+&Rb  
      4     0.18154684    -0.36248550 X-e)w  
Change in Focus                :       0.920681 ccZ A  
      5     0.28665820    -0.25737414 -_4U+Cfmtl  
Change in Focus                :       1.253875 =VH, i/@  
      6     0.21263372    -0.33139862 hF.9\X]  
Change in Focus                :      -0.903878 Ti=~ycwi  
      7     0.40051424    -0.14351809 "fL:scq@0  
Change in Focus                :      -1.354815 9=&LMjTQ  
      8     0.48754161    -0.05649072 bWW$_Spr  
Change in Focus                :       0.215922 vLXN{ ]  
      9     0.40357468    -0.14045766 $7T
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Change in Focus                :       0.281783 #7/_Usso  
     10     0.26315315    -0.28087919 )R<hYd  
Change in Focus                :      -1.048393 Ir_K83VM  
     11     0.26120585    -0.28282649 ?Xx,[
Z&  
Change in Focus                :       1.017611 ~Q0gSazXFt  
     12     0.24033815    -0.30369419 /q ;MihK  
Change in Focus                :      -0.109292 0~<d<a -@  
     13     0.37164046    -0.17239188 S=n,unn#t  
Change in Focus                :      -0.692430 2n2{Oy>L  
     14     0.48597489    -0.05805744 EX~ U(JB6  
Change in Focus                :      -0.662040 YrS%Yvhj0  
     15     0.21462327    -0.32940907 pkWzaf  
Change in Focus                :       1.611296 k ?X  
     16     0.43378226    -0.11025008 -y1%c^36_J  
Change in Focus                :      -0.640081 a<B[~J4i  
     17     0.39321881    -0.15081353 l23_K7  
Change in Focus                :       0.914906 +FP*RNM  
     18     0.20692530    -0.33710703 k+f!)7_  
Change in Focus                :       0.801607 #Wey)DI  
     19     0.51374068    -0.03029165 >sv|  
Change in Focus                :       0.947293 &~29%Ns  
     20     0.38013374    -0.16389860 np}F [v  
Change in Focus                :       0.667010 L 5J=+k,  
Bmm#5X@*  
Number of traceable Monte Carlo files generated: 20 TartV3;`  
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Nominal     0.54403234 )cbe4  
Best        0.54384387    Trial     2 @kK${  
Worst       0.18154684    Trial     4 (Eq0 |
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Mean        0.35770970 )@DH&  
Std Dev     0.11156454 )2C_6eR  
K, ae-#wgb  
HeZ! "^w  
Compensator Statistics: jhr{JApbJv  
Change in back focus: *-(J$4RNz  
Minimum            :        -1.354815 RLOB  
Maximum            :         1.611296 f^@`[MJj1C  
Mean               :         0.161872 rR@ t5  
Standard Deviation :         0.869664 sPYG?P(l  
>:!TfuU^R  
90% >       0.20977951               W'hE,  
80% >       0.22748071               GJ edW  
50% >       0.38667627               (9]`3^_,J  
20% >       0.46553746               v|C)Q %v  
10% >       0.50064115                9JV(}v5[  
x48Y#"'  
End of Run. D *RF._  
dVmI.A'nbp  
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 J)vP<.3:  
8aQ\Yx  
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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 {|c <8  
{y0#(8-&  
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                 xzTTK+D@  
80% >       0.22748071                 ${Cb1|g>j  
50% >       0.38667627                 RO?5WJpPj  
20% >       0.46553746                 :c3}J<Z  
10% >       0.50064115 NKf][!bi  
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最后这个数值是MTF值呢，还是MTF的公差？ {)nm {IV,  
HTiqErD2_  
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？？？   ~&B{"d  
L1ZhH3}X  
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  : $:IOoS|e  
90% >       0.20977951                 H",w$$eF  
80% >       0.22748071                 Ia_I~ U$  
50% >       0.38667627                 $="t7C9S  
20% >       0.46553746                 B-Bgk  
10% >       0.50064115 +M4X r*  
....... _<tWy+.  

GJ YXCi  
0>@D{_}s  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   n~~0iU)  
Mode                : Sensitivities `qP <S  
Sampling            : 2 mOiA}BGw  
Nominal Criterion   : 0.54403234 b| e7mis@  
Test Wavelength     : 0.6328 $|J16tW  
M#<U=Ha  
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？ ZUDdLJ  
jC<1bf$K  
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