[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 ~/C9VR&  
{+Zj}3o  

图片:1.JPG

[A\DuJx  
(r*"}"ZG  
然后添加了默认公差分析，基本没变 -A1@a=q  
^-nL!>FYY  

图片:2.jpg

`s8*n(\h  
C}jFR] x)  
然后运行分析的结果如下： A
cHr X=O  
FT8<a }o  
Analysis of Tolerances 9t8NK{
  
T:/mk`>  
File : E:\光学设计资料\zemax练习\f500.ZMX /dI8o  
Title: "zE>+zRl  
Date : TUE JUN 21 2011 ly9tI-E  
`@3{}  
Units are Millimeters. d#(ffPlq  
All changes are computed using linear differences. 3R>"X c  
K]SsEsd  
Paraxial Focus compensation only. v]h^0WU  
WQiIS0BJ *  
WARNING: Solves should be removed prior to tolerancing. :;Xh`br  
{Qba`lOkq  
Mnemonics: E%%iVFPX  
TFRN: Tolerance on curvature in fringes. TGDrTyI?y  
TTHI: Tolerance on thickness. um,G^R  
TSDX: Tolerance on surface decentering in x. tNvjwgV\  
TSDY: Tolerance on surface decentering in y. KOhK#t>H@0  
TSTX: Tolerance on surface tilt in x (degrees). P(xgIMc H  
TSTY: Tolerance on surface tilt in y (degrees). u~8=ikn+T  
TIRR: Tolerance on irregularity (fringes). 3D}Pa  
TIND: Tolerance on Nd index of refraction. :P8X?C63W]  
TEDX: Tolerance on element decentering in x. B=}s7
$^  
TEDY: Tolerance on element decentering in y. 6c6w w"  
TETX: Tolerance on element tilt in x (degrees). W:VX^8</  
TETY: Tolerance on element tilt in y (degrees). V7<w9MM  
A$3ll|%j  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. ]bP1gV(b-  
w,*#z  
WARNING: Boundary constraints on compensators will be ignored. .QW@rV:T  
{ui{Yc  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm a)S{9q}%  
Mode                : Sensitivities 6o.Dgt/f  
Sampling            : 2 cv5+[;(b  
Nominal Criterion   : 0.54403234 XUVBD;"f!  
Test Wavelength     : 0.6328 uCHM  
}ijFvIHV  
"_0sW3rG  
Fields: XY Symmetric Angle in degrees 9\Md.>  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY B7.<A#y2  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000  G){A&F  
o&$Of  
Sensitivity Analysis: 14`S9SL{V  
\E1CQP-  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| .6c Bx  
Type                      Value      Criterion        Change          Value      Criterion        Change B{K_?ae!  
Fringe tolerance on surface 1 ;T
KsAU  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 GdM|?u&s"  
Change in Focus                :      -0.000000                            0.000000 LfvNO/:,  
Fringe tolerance on surface 2 u p zBd]  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 #y8Esik  
Change in Focus                :       0.000000                            0.000000 e7yn"kd  
Fringe tolerance on surface 3 jZk dTiI  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 W0S\g#  
Change in Focus                :      -0.000000                            0.000000 O[8wF86R  
Thickness tolerance on surface 1 oXQI"?^+  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 Y,m=&U  
Change in Focus                :       0.000000                            0.000000 8&:dzS  
Thickness tolerance on surface 2 t(99m=9>  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 <9[>+X  
Change in Focus                :       0.000000                           -0.000000 B A i ^t  
Decenter X tolerance on surfaces 1 through 3 GPrq(  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 ~H4Tr[8a  
Change in Focus                :       0.000000                            0.000000 (g>&ov(d  
Decenter Y tolerance on surfaces 1 through 3 zG7y$\A  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 xUPg~c0  
Change in Focus                :       0.000000                            0.000000 ,V
y_%f  
Tilt X tolerance on surfaces 1 through 3 (degrees) n){u!z)Al  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 )&[ol9+\  
Change in Focus                :       0.000000                            0.000000 /&em%/  
Tilt Y tolerance on surfaces 1 through 3 (degrees) U9XOs)^  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 &23{(]eO  
Change in Focus                :       0.000000                            0.000000 +.a->SZ5"  
Decenter X tolerance on surface 1 ?'si^N  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 be]Zx`)k  
Change in Focus                :       0.000000                            0.000000 M1eM^m8U  
Decenter Y tolerance on surface 1 gMPvzBpP  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 ynn>d  
Change in Focus                :       0.000000                            0.000000 z J V>;  
Tilt X tolerance on surface (degrees) 1 )%q )!x  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 [M?&JA_$}  
Change in Focus                :       0.000000                            0.000000 nu X`>Oy  
Tilt Y tolerance on surface (degrees) 1 |H%,>r`9S  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 \/!jGy*  
Change in Focus                :       0.000000                            0.000000 ?:7.3{|Aq  
Decenter X tolerance on surface 2 d&X <&)a7  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 t?FPmbjv  
Change in Focus                :       0.000000                            0.000000 #Wt1Ph_;  
Decenter Y tolerance on surface 2 eK/rsr  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 v
"sN K  
Change in Focus                :       0.000000                            0.000000 U3pMv|b  
Tilt X tolerance on surface (degrees) 2 |iVw7M:  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 V0*9Tnc  
Change in Focus                :       0.000000                            0.000000 `8D'r|=`Eh  
Tilt Y tolerance on surface (degrees) 2 3JZ9 G79H  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 Zzv,p  
Change in Focus                :       0.000000                            0.000000 R}$A>)%dx  
Decenter X tolerance on surface 3 CMfR&G,)  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 S^)xioKsJ  
Change in Focus                :       0.000000                            0.000000 #Qd"d3QG  
Decenter Y tolerance on surface 3 e9eBD   
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 b|U3\Fmc  
Change in Focus                :       0.000000                            0.000000 \P9HAz'6  
Tilt X tolerance on surface (degrees) 3 Ns-3\~QSi  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 #rx@ 2zi  
Change in Focus                :       0.000000                            0.000000 ?r R, h{~  
Tilt Y tolerance on surface (degrees) 3 !%'c$U2  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 IJ6&*t wT  
Change in Focus                :       0.000000                            0.000000 E>rWm_G  
Irregularity of surface 1 in fringes $,jynRk7q  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 .*L_*}tno  
Change in Focus                :       0.000000                            0.000000 W4=<hB  
Irregularity of surface 2 in fringes yV5AVMo  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 Cc` )P>L  
Change in Focus                :       0.000000                            0.000000 xcN >L  
Irregularity of surface 3 in fringes @W!cC#u  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 mTZgvPJ!  
Change in Focus                :       0.000000                            0.000000 z.*=3   
Index tolerance on surface 1 yQ+C}8r5  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 ~'/_q4  
Change in Focus                :       0.000000                            0.000000 !Baq4V?KN  
Index tolerance on surface 2 ?)XPY<  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 si|b>R&Z  
Change in Focus                :       0.000000                           -0.000000 .8Gmy07  
m>-(c=3  
Worst offenders: N,u~ZEI  
Type                      Value      Criterion        Change &;oWmmvz{  
TSTY   2            -0.20000000     0.35349910    -0.19053324 0V?:5r<  
TSTY   2             0.20000000     0.35349910    -0.19053324 H3jb{S b  
TSTX   2            -0.20000000     0.35349910    -0.19053324 ch]Q%M  
TSTX   2             0.20000000     0.35349910    -0.19053324 =]F15:%Zq  
TSTY   1            -0.20000000     0.42678383    -0.11724851 T\o!^|8
 
TSTY   1             0.20000000     0.42678383    -0.11724851 qEB]Tj e[  
TSTX   1            -0.20000000     0.42678383    -0.11724851 .{LJ  
TSTX   1             0.20000000     0.42678383    -0.11724851 {;ur~KE  
TSTY   3            -0.20000000     0.42861670    -0.11541563 ( O/+.qb  
TSTY   3             0.20000000     0.42861670    -0.11541563 D[R<H((  
UZqk2D  
Estimated Performance Changes based upon Root-Sum-Square method: @|J+f5O  
Nominal MTF                 :     0.54403234 ue#Yh  
Estimated change            :    -0.36299231 a |+q:g0M  
Estimated MTF               :     0.18104003 r2 o-/$  
GHo=)NTjy  
Compensator Statistics: `)s>},8W!  
Change in back focus: =H2.1 :'  
Minimum            :        -0.000000 IBr|A  
Maximum            :         0.000000 =o+))R4  
Mean               :        -0.000000 \%N | X  
Standard Deviation :         0.000000 3re|=_ Hy  
5\$8"/H  
Monte Carlo Analysis: o%\p
I%  
Number of trials: 20 hh>mX6A  
kKRZ79"7s  
Initial Statistics: Normal Distribution -g]g  
M/mUY  
  Trial       Criterion        Change VwV`tKit  
      1     0.42804416    -0.11598818 GS4 HYF  
Change in Focus                :      -0.400171 = A;B-_c  
      2     0.54384387    -0.00018847 QBiLH]qa  
Change in Focus                :       1.018470 , *A',  
      3     0.44510003    -0.09893230 ONw;NaE,  
Change in Focus                :      -0.601922 {JlW1;Jc7  
      4     0.18154684    -0.36248550 Y l1sAf/  
Change in Focus                :       0.920681 )R`w{V  
      5     0.28665820    -0.25737414 *P
jW,   
Change in Focus                :       1.253875 kM T73OI>_  
      6     0.21263372    -0.33139862 $!_]mz6*  
Change in Focus                :      -0.903878 30v 3C7o=  
      7     0.40051424    -0.14351809 -5 YvtL  
Change in Focus                :      -1.354815 T7{Z0-  
      8     0.48754161    -0.05649072 `Vqpo/  
Change in Focus                :       0.215922 Y|iJO>_Uu=  
      9     0.40357468    -0.14045766 GKNH{|B$D  
Change in Focus                :       0.281783 |Skk1#  
     10     0.26315315    -0.28087919 a}+7MEUmZ/  
Change in Focus                :      -1.048393 R1DXi  
     11     0.26120585    -0.28282649 Xbb('MoI63  
Change in Focus                :       1.017611 PDnwaK   
     12     0.24033815    -0.30369419 }#/,nJm'  
Change in Focus                :      -0.109292 1MCHwX3/  
     13     0.37164046    -0.17239188 !`G7X  
Change in Focus                :      -0.692430 .V?i3  
     14     0.48597489    -0.05805744 \e/'d~F  
Change in Focus                :      -0.662040 IP`;hC  
     15     0.21462327    -0.32940907 + fQ=G/  
Change in Focus                :       1.611296 u8Au `  
     16     0.43378226    -0.11025008 b1}P3W  
Change in Focus                :      -0.640081 a N|MB
X;  
     17     0.39321881    -0.15081353 pA*cF!tq7  
Change in Focus                :       0.914906 8h#/b1\  
     18     0.20692530    -0.33710703 O&!tW^ih  
Change in Focus                :       0.801607 z Lw=*  
     19     0.51374068    -0.03029165 Ny>tJ~I  
Change in Focus                :       0.947293 f-?00*T  
     20     0.38013374    -0.16389860 =yfLqU  
Change in Focus                :       0.667010 b0CtQe  
UpgY}pf}  
Number of traceable Monte Carlo files generated: 20 MEQ:[;1  
#KonVM(`  
Nominal     0.54403234 DdTTWp/  
Best        0.54384387    Trial     2 hN6j
5.x%  
Worst       0.18154684    Trial     4 {@u;F2?  
Mean        0.35770970 eyZ /%4'q  
Std Dev     0.11156454 #L{QnV.3  
`":ch9rK  
/!kKL$j  
Compensator Statistics: dFF[2  
Change in back focus: h'x|yy]@3  
Minimum            :        -1.354815 P+sxlf:0  
Maximum            :         1.611296 J3fcnI  
Mean               :         0.161872 5A:mu+Iz6H  
Standard Deviation :         0.869664 Kc*h@#`~oL  
;/W;M> ^  
90% >       0.20977951               }Lx?RU+@=  
80% >       0.22748071               M`ETH8Su=  
50% >       0.38667627               ~O~c^fLH(B  
20% >       0.46553746               2B7X~t>8a  
10% >       0.50064115                ]k%Yz@*S  
_yyQ^M/  
End of Run. 2;G^>BP<  
nJ#uz:(w,  
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 VpJ/M(UD-  

图片:3.JPG

[0D( PV(n  
NamBJ\2E1[  
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 I=wP"
(2  
DD\:glo  
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[=VW0  
80% >       0.22748071                 Fd-PjW/E8  
50% >       0.38667627                 - *!R  
20% >       0.46553746                 j`A%(()d  
10% >       0.50064115 _6&x$*O  
[
k.|iCD  
最后这个数值是MTF值呢，还是MTF的公差？ &,2h=H,M  
ps"DL4*  
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？？？   >tnQuFKg]  
CN@bJo2  
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  : fVx<f.xuW  
90% >       0.20977951                 :U
M>`Y  
80% >       0.22748071                 ste0:.*qb  
50% >       0.38667627                 /MYl:>e>  
20% >       0.46553746                 [E<NEl*  
10% >       0.50064115 ZN#mu]jC?  
....... Wsya:9|  

VA+ ?xk  
F \6-s`(  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   D*.U?  
Mode                : Sensitivities `&y Qtj# '  
Sampling            : 2 K",YAfJa  
Nominal Criterion   : 0.54403234 "IQ' (^-P  
Test Wavelength     : 0.6328 UW%zR5q  
ZLm?8g6-  
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？ jlaU3qXL  
*iLlBE  
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