[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 l@Ma{*s6=5  
GV6!
`@<  

图片:1.JPG

kLMg|48fdI  
-en:81a#  
然后添加了默认公差分析，基本没变 b')CGqbbmT  
ySP1W
K  

图片:2.jpg

NLw#b?%  
!FipKX  
然后运行分析的结果如下： _7~O>
.  
iU9de  
Analysis of Tolerances 'Fo*h6=  
J6Hw05%0=  
File : E:\光学设计资料\zemax练习\f500.ZMX tvP_LNMF  
Title: Qc\JUm]  
Date : TUE JUN 21 2011 vmAMlgZ8{<  
8wwqV{O7  
Units are Millimeters. gC;y
>YGP  
All changes are computed using linear differences. !jMa%;/  
@YdS_W  
Paraxial Focus compensation only. G^p>fy~  
wblEx/FqE^  
WARNING: Solves should be removed prior to tolerancing. w4:S>6X  
d{hbgUSj  
Mnemonics: +c/am``  
TFRN: Tolerance on curvature in fringes. cbs
y&U  
TTHI: Tolerance on thickness. %*e6@Hm  
TSDX: Tolerance on surface decentering in x. x%B^hH;W  
TSDY: Tolerance on surface decentering in y. If\u^c  
TSTX: Tolerance on surface tilt in x (degrees). ~IZ'zuc  
TSTY: Tolerance on surface tilt in y (degrees). Me yQ`%  
TIRR: Tolerance on irregularity (fringes). A|CW4f,  
TIND: Tolerance on Nd index of refraction. qg:R+`z  
TEDX: Tolerance on element decentering in x. @}!1Uk3ud  
TEDY: Tolerance on element decentering in y. %lbSV}V)  
TETX: Tolerance on element tilt in x (degrees). wg^#S  
TETY: Tolerance on element tilt in y (degrees). ;{ XKZ}  
T2Z;)e$m_  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. i]Lt8DiRq  
VxLq,$B76  
WARNING: Boundary constraints on compensators will be ignored. l?NRQTG  
_Z.lr\  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm b(_PCVC  
Mode                : Sensitivities bWt>tEnf  
Sampling            : 2 l]W
Vgu  
Nominal Criterion   : 0.54403234 SOE#@{IXBa  
Test Wavelength     : 0.6328 )W:`Q&/G  
kCL)F\v"iT  
a k@0M[d  
Fields: XY Symmetric Angle in degrees yAU[A  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY jRm:9`.Q  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 gTY\B.  
O4$ra;UM`  
Sensitivity Analysis: Jn +
[:s.  
 8;4vr@EV  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| /v:g' #n  
Type                      Value      Criterion        Change          Value      Criterion        Change Zd1+ZH  
Fringe tolerance on surface 1 j,80EhZ  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 lzBy;i  
Change in Focus                :      -0.000000                            0.000000 'C1=(PE%`  
Fringe tolerance on surface 2 W*QD'  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 $B7<1{<=W  
Change in Focus                :       0.000000                            0.000000 ve.iyr  
Fringe tolerance on surface 3 p \; * :  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 ^uW](2  
Change in Focus                :      -0.000000                            0.000000 s!~M,zsQN  
Thickness tolerance on surface 1 {lT9gJ+  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 3uwu}aw  
Change in Focus                :       0.000000                            0.000000 miCt)Qd  
Thickness tolerance on surface 2 qo}-m7  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 ?O8NyCeb7  
Change in Focus                :       0.000000                           -0.000000 U/>f" F  
Decenter X tolerance on surfaces 1 through 3 d;Z<")  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 gAhCNOp  
Change in Focus                :       0.000000                            0.000000 lJ3/^Htn  
Decenter Y tolerance on surfaces 1 through 3 TgSU}Mf)a  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 LZMdW #,[  
Change in Focus                :       0.000000                            0.000000 )UI$
s"  
Tilt X tolerance on surfaces 1 through 3 (degrees) Vl{CD>$,  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 $yIcut7  
Change in Focus                :       0.000000                            0.000000 }Y(Q7l  
Tilt Y tolerance on surfaces 1 through 3 (degrees) "FT5]h  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 (sW:^0p  
Change in Focus                :       0.000000                            0.000000 4;M  
Decenter X tolerance on surface 1 mn{8"@Z  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 nZfTK>)A0  
Change in Focus                :       0.000000                            0.000000 +uM1#-+h  
Decenter Y tolerance on surface 1 {:IO
Ty  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 Bz_['7D  
Change in Focus                :       0.000000                            0.000000 COOazXtW  
Tilt X tolerance on surface (degrees) 1 ?g}n$%*5y!  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 +Q_X,gZ  
Change in Focus                :       0.000000                            0.000000 Y$--Hp4  
Tilt Y tolerance on surface (degrees) 1 /"- k ;jz  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 ];R5[%:5  
Change in Focus                :       0.000000                            0.000000 n>Y3hY  
Decenter X tolerance on surface 2
5>t&)g  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 yc+#
LZ~(a  
Change in Focus                :       0.000000                            0.000000 /_rQ>PgSZW  
Decenter Y tolerance on surface 2 7$z")JB  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 !w[<?+%%n  
Change in Focus                :       0.000000                            0.000000 :@wO' o  
Tilt X tolerance on surface (degrees) 2 /&$'v:VB  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 }zj w\  
Change in Focus                :       0.000000                            0.000000 pco~Z{n  
Tilt Y tolerance on surface (degrees) 2 =jkC]0qx  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 aP!a?xq  
Change in Focus                :       0.000000                            0.000000 t^Aios~F  
Decenter X tolerance on surface 3 /1h`O@VA  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 7ZET@  
Change in Focus                :       0.000000                            0.000000 0'TqW9P  
Decenter Y tolerance on surface 3 6.6~w\fR8  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 ^v}Z5,aN  
Change in Focus                :       0.000000                            0.000000 ?6p6OB  
Tilt X tolerance on surface (degrees) 3 .lb2`!'r&  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 V3$!`T}g4  
Change in Focus                :       0.000000                            0.000000 uw LT$  
Tilt Y tolerance on surface (degrees) 3 .hg<\-:_  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 "}\2zub9  
Change in Focus                :       0.000000                            0.000000 @I]uK[qd  
Irregularity of surface 1 in fringes O*z x{a6  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 -vGyEd7  
Change in Focus                :       0.000000                            0.000000 ;J2U5Y NO  
Irregularity of surface 2 in fringes N(dn"`
8  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 %\}|&z6  
Change in Focus                :       0.000000                            0.000000 dg4"4\c*P  
Irregularity of surface 3 in fringes @?aNvWeavH  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 TIW6v4  
Change in Focus                :       0.000000                            0.000000 KA`1IW
;  
Index tolerance on surface 1 el
WN-~  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 6](vnS;  
Change in Focus                :       0.000000                            0.000000 Z%`} `(  
Index tolerance on surface 2 B+jT|Y'  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 +LQ2To  
Change in Focus                :       0.000000                           -0.000000 BXa1[7Z  
!
}"npUgE  
Worst offenders: E;$t|~#  
Type                      Value      Criterion        Change 'M_8U0k  
TSTY   2            -0.20000000     0.35349910    -0.19053324 5BS-q"  
TSTY   2             0.20000000     0.35349910    -0.19053324 )FMpfC>An  
TSTX   2            -0.20000000     0.35349910    -0.19053324 Ki^m&P   
TSTX   2             0.20000000     0.35349910    -0.19053324 %;yo\  
TSTY   1            -0.20000000     0.42678383    -0.11724851 "h
7Z(Y  
TSTY   1             0.20000000     0.42678383    -0.11724851 $B~a*zZ7  
TSTX   1            -0.20000000     0.42678383    -0.11724851 U@|{RP  
TSTX   1             0.20000000     0.42678383    -0.11724851 1;fs`k0p  
TSTY   3            -0.20000000     0.42861670    -0.11541563 C0 .Xp  
TSTY   3             0.20000000     0.42861670    -0.11541563 PP.k>zsx  
XC?H  
Estimated Performance Changes based upon Root-Sum-Square method: A{>]M@QC2  
Nominal MTF                 :     0.54403234 Fy`VQ\%7t  
Estimated change            :    -0.36299231 c[sC 2  
Estimated MTF               :     0.18104003 Wfu%,=@,  
nkS6A}i3o  
Compensator Statistics: }C/}8<  
Change in back focus: ?b#/*T}ac  
Minimum            :        -0.000000 ,G"?fQ7zR  
Maximum            :         0.000000 JGn@)!$+/  
Mean               :        -0.000000 YCh!D dy  
Standard Deviation :         0.000000 7vNS@[8  
y3 LWh}~E  
Monte Carlo Analysis: +O
j28vR  
Number of trials: 20 HjGT{o  
t82Bp[t  
Initial Statistics: Normal Distribution 2YuaPq/  
;r49H<z  
  Trial       Criterion        Change I}n"6'*  
      1     0.42804416    -0.11598818 k
su:RJ-  
Change in Focus                :      -0.400171 /%=#*/E7  
      2     0.54384387    -0.00018847 *%B%BJnX  
Change in Focus                :       1.018470 GY@Np^>[a  
      3     0.44510003    -0.09893230 Kl(}s{YFn.  
Change in Focus                :      -0.601922 A~*Wr+pv  
      4     0.18154684    -0.36248550 SK;f#quUQ  
Change in Focus                :       0.920681 t^8#~o!%  
      5     0.28665820    -0.25737414 dXe763~<  
Change in Focus                :       1.253875 DSd 5?  
      6     0.21263372    -0.33139862 g|)e3q{M  
Change in Focus                :      -0.903878 {EW}Wd  
      7     0.40051424    -0.14351809 xqP0Z),Ow  
Change in Focus                :      -1.354815 Sl:\5]'yJ  
      8     0.48754161    -0.05649072 m"86O:S#d  
Change in Focus                :       0.215922 r\_rnM)_xN  
      9     0.40357468    -0.14045766 LFen!FnM  
Change in Focus                :       0.281783 YX^{lD1Jj  
     10     0.26315315    -0.28087919 fkRb;aIl  
Change in Focus                :      -1.048393 vFl|  
     11     0.26120585    -0.28282649 D@DK9?#  
Change in Focus                :       1.017611 -d_FB?X  
     12     0.24033815    -0.30369419 CtjjN=59  
Change in Focus                :      -0.109292 tHJ1MDw'  
     13     0.37164046    -0.17239188 CdWGb[uI  
Change in Focus                :      -0.692430 y"t5%Iv  
     14     0.48597489    -0.05805744 8y|(]5 'r  
Change in Focus                :      -0.662040 A<>W^ow  
     15     0.21462327    -0.32940907 O~'1)k>  
Change in Focus                :       1.611296 _AVCh)Zb  
     16     0.43378226    -0.11025008 C$ZY=UXz!T  
Change in Focus                :      -0.640081 EnwiE  
     17     0.39321881    -0.15081353 {7(h%]  
Change in Focus                :       0.914906 Plm3vk=  
     18     0.20692530    -0.33710703 -BEPpwb<g  
Change in Focus                :       0.801607 n[ba  
     19     0.51374068    -0.03029165 $PrzJc  
Change in Focus                :       0.947293 tG%R_$*  
     20     0.38013374    -0.16389860 J3$`bK6F6  
Change in Focus                :       0.667010 KxJJ?WyM  
\+cQiN b@  
Number of traceable Monte Carlo files generated: 20 (&njZdcb*  
Xk7zXah  
Nominal     0.54403234 }
f6.eqBX4  
Best        0.54384387    Trial     2 T0tG1/O\  
Worst       0.18154684    Trial     4 
Z>CFH9  
Mean        0.35770970 I,  
Std Dev     0.11156454 egr@:5QwZ{  
Ir0er~f+z  
_`D760q}  
Compensator Statistics: _fMooI)U1  
Change in back focus: jj.]R+.G  
Minimum            :        -1.354815 ^.-P]I]  
Maximum            :         1.611296 Dtr'X@U  
Mean               :         0.161872 .3ic%u;|D  
Standard Deviation :         0.869664 @B&hR} 4  
F},JP'\X  
90% >       0.20977951               #jDO?Y Sa  
80% >       0.22748071               ]}'WNy6c&x  
50% >       0.38667627               3%cNePlr  
20% >       0.46553746               vo0[Z,aH5  
10% >       0.50064115                NugJjd56x  
`-w;=_Bm  
End of Run. (8H^{2K~  
'}!dRpx  
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 Aq";z.gi+  

图片:3.JPG

fF *a/\h %  
f(##P|3>R  
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 -Tz9J4xU&  
:;7qup  
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                 f+F /`P%  
80% >       0.22748071                 98V9AOgk  
50% >       0.38667627                 vB#3jI  
20% >       0.46553746                 K_}vmB\2l  
10% >       0.50064115 f PDn
kr  
\y<n{"a  
最后这个数值是MTF值呢，还是MTF的公差？ VT-&"Jn  
rJg!2  
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？？？   XmXHs4  
NShA-G N5  
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#DC;(Pn  
90% >       0.20977951                 6 {5*9!v63  
80% >       0.22748071                 `O0v2?/f0  
50% >       0.38667627                 aBol9`6  
20% >       0.46553746                 O@?? NF6G  
10% >       0.50064115 EPdR-dC^wE  
....... wcB-)Ra  

+9,"ne1'e  
l}Jf;C*j1z  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   @dD70T  
Mode                : Sensitivities )!){4c/  
Sampling            : 2 ;R 'OdQ$o  
Nominal Criterion   : 0.54403234 ~h tV*R  
Test Wavelength     : 0.6328 3[aCy4O  
v-_K'm  
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？ \0'o*nlJ  
_~| j~QE]  
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