[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 Gm[XnUR7V  
':7gYP*v  

图片:1.JPG

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然后添加了默认公差分析，基本没变 (&1565  
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图片:2.jpg

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然后运行分析的结果如下： f_z]kA +H  
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Analysis of Tolerances }BWT21'-Y  
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File : E:\光学设计资料\zemax练习\f500.ZMX PQrc#dfc|  
Title: k!V@Q!>,  
Date : TUE JUN 21 2011 eWr2UXv$  
r<[G~n  
Units are Millimeters. BUUc9&f3o  
All changes are computed using linear differences. Ae* 6&R4  
=J`M}BBx  
Paraxial Focus compensation only. i|x
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ub]s>aqy   
WARNING: Solves should be removed prior to tolerancing. %-L T56T  
bh+m_$X~  
Mnemonics: 0|| 5r#  
TFRN: Tolerance on curvature in fringes. [ZL<Q  
TTHI: Tolerance on thickness. 1fTf+P  
TSDX: Tolerance on surface decentering in x. ;!B,P-Z"g  
TSDY: Tolerance on surface decentering in y. UHS"{%  
TSTX: Tolerance on surface tilt in x (degrees). G%>{Z?!B  
TSTY: Tolerance on surface tilt in y (degrees). > .K  
TIRR: Tolerance on irregularity (fringes). ! u9LZ  
TIND: Tolerance on Nd index of refraction. y\=^pla  
TEDX: Tolerance on element decentering in x. SNC)c
q+{  
TEDY: Tolerance on element decentering in y. ~!P&LZ  
TETX: Tolerance on element tilt in x (degrees). xHe"c<  
TETY: Tolerance on element tilt in y (degrees). y?UB?2
VN  
_FkH;MGWS  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. #i=m%>zjN  
EKUiX#p:M  
WARNING: Boundary constraints on compensators will be ignored. Y/f8rN  
N j:W6? A  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm 
oK3PA  
Mode                : Sensitivities -0+h&CO  
Sampling            : 2 IeAi'  
Nominal Criterion   : 0.54403234 -YS9u[   
Test Wavelength     : 0.6328 W^i[7 r  
ri49r*_1  
usw(]CnH  
Fields: XY Symmetric Angle in degrees h*?]A  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY q!WiX|P  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 B.}j1Bb  
NCVhWD21|  
Sensitivity Analysis: ++BQ==@  
2BO"mc<#$  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| 0GQKM~|H  
Type                      Value      Criterion        Change          Value      Criterion        Change Pu(kCH{  
Fringe tolerance on surface 1 S<g~VK!Tt  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 Y?%=6S  
Change in Focus                :      -0.000000                            0.000000 bp'\nso/  
Fringe tolerance on surface 2 k/i&e~! \  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 `We?j7O  
Change in Focus                :       0.000000                            0.000000 @=K*gbq
5  
Fringe tolerance on surface 3 @DKph!cr  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 6%MM)Vj+u  
Change in Focus                :      -0.000000                            0.000000 |eksvO'~  
Thickness tolerance on surface 1 K/$5SN1  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 _pkmHj(  
Change in Focus                :       0.000000                            0.000000 Ue=1NnRDkA  
Thickness tolerance on surface 2 =WK's8FB;8  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 Sc:)H2k`$  
Change in Focus                :       0.000000                           -0.000000 S~B{G T\M  
Decenter X tolerance on surfaces 1 through 3 !T.yv5ge'  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 bQHJ}aCi  
Change in Focus                :       0.000000                            0.000000 Y ^5RM  
Decenter Y tolerance on surfaces 1 through 3 [x0*x~1B  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 ufN`=IJ%  
Change in Focus                :       0.000000                            0.000000 L(}/W~En  
Tilt X tolerance on surfaces 1 through 3 (degrees) {w]L'0ES[  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 LAuaowE\v  
Change in Focus                :       0.000000                            0.000000 !Hj 7|5  
Tilt Y tolerance on surfaces 1 through 3 (degrees) " t,ZO  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 X]s="^  
Change in Focus                :       0.000000                            0.000000 <W/YC2b  
Decenter X tolerance on surface 1 AbB+<0  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 o),@I#fM  
Change in Focus                :       0.000000                            0.000000 0+k=gO  
Decenter Y tolerance on surface 1 +<3e@s&  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 :JK+V2B$H  
Change in Focus                :       0.000000                            0.000000 Dk}t
xw}#  
Tilt X tolerance on surface (degrees) 1 )H{OqZZYD  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 BX2}ar  
Change in Focus                :       0.000000                            0.000000 .]/k#Hv  
Tilt Y tolerance on surface (degrees) 1 %V92q0XW  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 W7w*VD|  
Change in Focus                :       0.000000                            0.000000 Fyc":{Jd  
Decenter X tolerance on surface 2 V5+|H1=  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 x";4)u=  
Change in Focus                :       0.000000                            0.000000 ~zFwSF  
Decenter Y tolerance on surface 2 =g)SZK  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 UZo[]$"Q`  
Change in Focus                :       0.000000                            0.000000 "F?p Y@4  
Tilt X tolerance on surface (degrees) 2 ]T%wRd5&-  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 *a`_,Q{x  
Change in Focus                :       0.000000                            0.000000 *7C l1o  
Tilt Y tolerance on surface (degrees) 2 ~uuM
0POo  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 )_K:A(V>  
Change in Focus                :       0.000000                            0.000000 2lxA/.f  
Decenter X tolerance on surface 3 [k=LX+w@  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 <H|]^An!H  
Change in Focus                :       0.000000                            0.000000 >ajcfG.k(  
Decenter Y tolerance on surface 3 D;Y2yc[v  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 D\ P-|}  
Change in Focus                :       0.000000                            0.000000 -_

f-j  
Tilt X tolerance on surface (degrees) 3 fAD {sg  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 XW*d\vDun  
Change in Focus                :       0.000000                            0.000000 aK8X,1g%)  
Tilt Y tolerance on surface (degrees) 3 c/,B?  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 P]4@|u;=6[  
Change in Focus                :       0.000000                            0.000000 l(~NpT{=V  
Irregularity of surface 1 in fringes :D:J_{HJ  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 p9eTrFDy?  
Change in Focus                :       0.000000                            0.000000 Wbi12{C  
Irregularity of surface 2 in fringes XpdjWLO]C<  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 Jg@eGs\*  
Change in Focus                :       0.000000                            0.000000 dbfI!4  
Irregularity of surface 3 in fringes kj`h{
Wc[)  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 FZ
fhiIf  
Change in Focus                :       0.000000                            0.000000 vcSb:('  
Index tolerance on surface 1 xgWVx
X^)  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 LP}j0)n  
Change in Focus                :       0.000000                            0.000000 r,ep{ p  
Index tolerance on surface 2 _j]vR  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 =@.5J'!  
Change in Focus                :       0.000000                           -0.000000 hD7Lgi-N)W  
J!iKW  
Worst offenders: V.w!]{xm  
Type                      Value      Criterion        Change 5,du2  
TSTY   2            -0.20000000     0.35349910    -0.19053324 jo"zdb  
TSTY   2             0.20000000     0.35349910    -0.19053324 uD:tT~  
TSTX   2            -0.20000000     0.35349910    -0.19053324 !H`uN  
TSTX   2             0.20000000     0.35349910    -0.19053324 K}Lu1:~  
TSTY   1            -0.20000000     0.42678383    -0.11724851 }1YQ?:@  
TSTY   1             0.20000000     0.42678383    -0.11724851 @&2#kO~=  
TSTX   1            -0.20000000     0.42678383    -0.11724851 sB<y(}u  
TSTX   1             0.20000000     0.42678383    -0.11724851 @*JS[w$1  
TSTY   3            -0.20000000     0.42861670    -0.11541563 DC=XPn/V  
TSTY   3             0.20000000     0.42861670    -0.11541563 6"V86b0)h}  
eX o@3/  
Estimated Performance Changes based upon Root-Sum-Square method: } BnPNc[I  
Nominal MTF                 :     0.54403234 {Lvta4}7(  
Estimated change            :    -0.36299231 x-SYfvYY  
Estimated MTF               :     0.18104003 BtKbX)R$J  
S{JBV@@tC  
Compensator Statistics: g#[,4o;  
Change in back focus: j8ag}%  
Minimum            :        -0.000000 nPjN\Es6  
Maximum            :         0.000000 CK1gzIg>  
Mean               :        -0.000000 8z*/J=n  
Standard Deviation :         0.000000 f/g-b]0  
 t/a  
Monte Carlo Analysis: J\\o#-H  
Number of trials: 20 ^vo]bq7  
B@,#,-=  
Initial Statistics: Normal Distribution 3NgyF[c  
Ufe@G\uyI  
  Trial       Criterion        Change G4)X~.Fy  
      1     0.42804416    -0.11598818 ]PZ\N~T
 
Change in Focus                :      -0.400171 \Gy+y`   
      2     0.54384387    -0.00018847 8[H)tKf8  
Change in Focus                :       1.018470 E7|P\^}m(f  
      3     0.44510003    -0.09893230 tCr?!Y~  
Change in Focus                :      -0.601922 axdRV1+s  
      4     0.18154684    -0.36248550 yUu+68Z6  
Change in Focus                :       0.920681 jLreN#:9  
      5     0.28665820    -0.25737414 %o#|zaK  
Change in Focus                :       1.253875 Y>PC>  
      6     0.21263372    -0.33139862 Nrk/_0^  
Change in Focus                :      -0.903878 D,, x<JG|  
      7     0.40051424    -0.14351809 R5MY\^H/A  
Change in Focus                :      -1.354815 b "5WsJ:'#  
      8     0.48754161    -0.05649072 "9!CsloWhz  
Change in Focus                :       0.215922 0vcM+}rw  
      9     0.40357468    -0.14045766 nh%Q";  
Change in Focus                :       0.281783 U,GY']J  
     10     0.26315315    -0.28087919 |&H(skF_  
Change in Focus                :      -1.048393 r#/Bz5Jb*  
     11     0.26120585    -0.28282649 of?0 y-LT%  
Change in Focus                :       1.017611 *]* D^'  
     12     0.24033815    -0.30369419 Be2yS]U  
Change in Focus                :      -0.109292 d]QCk&XU  
     13     0.37164046    -0.17239188 O@? *5  
Change in Focus                :      -0.692430 +v"%@lC};  
     14     0.48597489    -0.05805744 lcEin*Oc  
Change in Focus                :      -0.662040 T>pz?e^5&  
     15     0.21462327    -0.32940907
3dC;B@  
Change in Focus                :       1.611296 Q)}z$h55  
     16     0.43378226    -0.11025008 1IV R4:a  
Change in Focus                :      -0.640081 GYNLyd)  
     17     0.39321881    -0.15081353 I xE}v%&  
Change in Focus                :       0.914906 /S&8%fb  
     18     0.20692530    -0.33710703 {Qj7?}xW  
Change in Focus                :       0.801607 hS+R/7  
     19     0.51374068    -0.03029165 ajALca4  
Change in Focus                :       0.947293 E>O1dPZcM  
     20     0.38013374    -0.16389860 -87]$ ax  
Change in Focus                :       0.667010 =hB0p^a
 

n ^_B0Rkv  
Number of traceable Monte Carlo files generated: 20 dX5|A_Ex  

${)s ~[  
Nominal     0.54403234 IRl(H_.  
Best        0.54384387    Trial     2 $(eqZ<y  
Worst       0.18154684    Trial     4 b#E!wMClS  
Mean        0.35770970 {aq}Q|?/  
Std Dev     0.11156454 MuQ'L=iJ  
'7TT4~F  
bcC+af0L  
Compensator Statistics: V-TWC@Y"  
Change in back focus: lT~A~O  
Minimum            :        -1.354815 eFdN"8EW  
Maximum            :         1.611296 "=\@ a=  
Mean               :         0.161872 7H5t!yk|9  
Standard Deviation :         0.869664 YUsMq3^&  
7T}r]C.  
90% >       0.20977951               j9/Ev]im|F  
80% >       0.22748071               W05>\Rl  
50% >       0.38667627               DX%D8atrr  
20% >       0.46553746               \cRe,(?O  
10% >       0.50064115                hz~jyH.h_  
LX_{39?<{  
End of Run. bjYaJtn  
2%(RB4+  
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 =Frbhh57  

图片:3.JPG

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J{bNx8.&  
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 u}~%9Pi  
kw.IVz<  
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                 QP?Deltp  
80% >       0.22748071                 5Si\hk:o  
50% >       0.38667627                 &G"r>,H
U  
20% >       0.46553746                 [Ifhh2  
10% >       0.50064115 q T pvz  
:<$IGzw}.  
最后这个数值是MTF值呢，还是MTF的公差？ BLvI[b|3gn  
>`@yh-'r  
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？？？   5@{+V!o,  
l6S6Y  
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*pihBo7  
90% >       0.20977951                 b,a\`%m}  
80% >       0.22748071                 F!>K8
q  
50% >       0.38667627                 LM'` U-/e$  
20% >       0.46553746                 T , =ga  
10% >       0.50064115 >*}qGk  
....... U8-9^}DBA  

lSyp k-c  
[Pp#l*  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   h/TPd]  
Mode                : Sensitivities .`'SL''c  
Sampling            : 2 LVEVCpp@  
Nominal Criterion   : 0.54403234 A[ iPs9  
Test Wavelength     : 0.6328 W=EO=}l#  
Jj6kZK  
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？ ,){0y%c#y  
=5|5j!
i=q  
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