[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 bmw"-W^U[  
PcEE@W9  

图片:1.JPG

E.
4 X,  
PX5U)  
然后添加了默认公差分析，基本没变 psAr>:\3  
!4}Wp.  

图片:2.jpg

"64D.c(r$  

>$_@p(w  
然后运行分析的结果如下： 8M6Qn7{L  
Z#flu Q%V  
Analysis of Tolerances F>"B7:P1:Q  
wyUfmk_}  
File : E:\光学设计资料\zemax练习\f500.ZMX mO@S
l(9  
Title: 1V;
m8)RF  
Date : TUE JUN 21 2011 ke5_lr(  
M*<Bp   
Units are Millimeters. iYl{V']A  
All changes are computed using linear differences. "/zDcZbL;  
3.?B')  
Paraxial Focus compensation only. fR,7l9<%Zp  
NqZR*/BOz  
WARNING: Solves should be removed prior to tolerancing. F1b~S
;lm  
<'92\O  
Mnemonics:  4d )Q  
TFRN: Tolerance on curvature in fringes. V1\x.0Fs  
TTHI: Tolerance on thickness. AGgL`sP  
TSDX: Tolerance on surface decentering in x. \ Q0-yNt  
TSDY: Tolerance on surface decentering in y. Bt1&C?_$T  
TSTX: Tolerance on surface tilt in x (degrees). =f-.aq(G/  
TSTY: Tolerance on surface tilt in y (degrees). `I)ftj%  
TIRR: Tolerance on irregularity (fringes). @
P xX]e  
TIND: Tolerance on Nd index of refraction. h&6t.2<e  
TEDX: Tolerance on element decentering in x. e(;nhU3a*,  
TEDY: Tolerance on element decentering in y. x\!Uk!fM  
TETX: Tolerance on element tilt in x (degrees). P1}Fn:Xe%7  
TETY: Tolerance on element tilt in y (degrees). "T'?Ah6  
a>/jW-?  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. "\u_gk{g  
]Qb85;0)  
WARNING: Boundary constraints on compensators will be ignored. /Jw65 e  
w`F4.e  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm Y]!{ nW  
Mode                : Sensitivities /?Fa<{  
Sampling            : 2 p?+*R@O  
Nominal Criterion   : 0.54403234 4Js9"<w  
Test Wavelength     : 0.6328 ;\N${YIn  
l~9P4 ,  
H3Z"u  
Fields: XY Symmetric Angle in degrees KZ}F1Mr  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY !O~5<tA[#1  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 $Q!J.}P@  
G>fJ)A  
Sensitivity Analysis: "mm|0PUJ  
;'x\L<b/)  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| MGzuQrl{H  
Type                      Value      Criterion        Change          Value      Criterion        Change h"~GaI  
Fringe tolerance on surface 1 l;gj],*  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 JZ  
Change in Focus                :      -0.000000                            0.000000 ,`lVB#|  
Fringe tolerance on surface 2 ^,.G<2Kx&  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230
#FfUkV  
Change in Focus                :       0.000000                            0.000000 ADa'(#+6  
Fringe tolerance on surface 3 4&c7^ 4w~  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 yb(zyGe  
Change in Focus                :      -0.000000                            0.000000 r ]cC4%in  
Thickness tolerance on surface 1 t,2Q~ied=  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 2-3|0<`  
Change in Focus                :       0.000000                            0.000000 Ih!D6  
Thickness tolerance on surface 2 !y>MchNv  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 !PfIe94{`  
Change in Focus                :       0.000000                           -0.000000 2_4m}T3  
Decenter X tolerance on surfaces 1 through 3 W~1MeAI  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 >qSaF  
Change in Focus                :       0.000000                            0.000000 kOfu7Zj
 
Decenter Y tolerance on surfaces 1 through 3 k-(hJ}N  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 OudD1( )W  
Change in Focus                :       0.000000                            0.000000 ZZa$/q"  
Tilt X tolerance on surfaces 1 through 3 (degrees) Hset(-=X  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 XMM@EN  
Change in Focus                :       0.000000                            0.000000 J jCzCA:K_  
Tilt Y tolerance on surfaces 1 through 3 (degrees) =%:mZ@x'
 
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 ql%>)k /x  
Change in Focus                :       0.000000                            0.000000 )p MZ5|+X  
Decenter X tolerance on surface 1 -L/5Nbup  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 4=H/-v'&  
Change in Focus                :       0.000000                            0.000000 a$c7d~p$I  
Decenter Y tolerance on surface 1 &/7AW(?  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 %^=fjJGV{~  
Change in Focus                :       0.000000                            0.000000 6 m5\f  
Tilt X tolerance on surface (degrees) 1 ,/\%-u? 1x  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 4QnJ;&~  
Change in Focus                :       0.000000                            0.000000 ChLU(IPo6  
Tilt Y tolerance on surface (degrees) 1 *xs8/?  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 7 :s6W%W1*  
Change in Focus                :       0.000000                            0.000000 Llf>C,)  
Decenter X tolerance on surface 2 yZaQ{]"  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 3\FiQ/?  
Change in Focus                :       0.000000                            0.000000 S ~lw5  
Decenter Y tolerance on surface 2 T7YzO,b/   
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 {M]m cRB(
 
Change in Focus                :       0.000000                            0.000000 `xkJ.,#Io  
Tilt X tolerance on surface (degrees) 2 f#414ja  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 p/WEQ2  
Change in Focus                :       0.000000                            0.000000 #]I:}Q51  
Tilt Y tolerance on surface (degrees) 2 pTmG\wA~$  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 MC3XGnT#5  
Change in Focus                :       0.000000                            0.000000 *Yov>lO  
Decenter X tolerance on surface 3 udg;jR-^  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 bdqo2ZO  
Change in Focus                :       0.000000                            0.000000 kaUH#;c>_  
Decenter Y tolerance on surface 3 G <m{o  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 2`t4@T  
Change in Focus                :       0.000000                            0.000000 |U$oS2U\m  
Tilt X tolerance on surface (degrees) 3 Kd;
|Z  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 Oa7`Y`6  
Change in Focus                :       0.000000                            0.000000 [m!\ZK  
Tilt Y tolerance on surface (degrees) 3 "xS",6Sy  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563
WJe  
Change in Focus                :       0.000000                            0.000000 ImklM7A  
Irregularity of surface 1 in fringes 0_qqBL.4  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 L3X>v3CZ5  
Change in Focus                :       0.000000                            0.000000 Qo)>i0  
Irregularity of surface 2 in fringes _V6;`{$WK  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 V'^s5  
Change in Focus                :       0.000000                            0.000000 |/ZpZ7  
Irregularity of surface 3 in fringes 8Z/P<u  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 v.\1-Q?  
Change in Focus                :       0.000000                            0.000000 GIo&zPx  
Index tolerance on surface 1 FL0(q>$*8  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 u Dm=W36  
Change in Focus                :       0.000000                            0.000000 v?!x,H$Qd  
Index tolerance on surface 2 N}VKH5U|  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 lXW.G  
Change in Focus                :       0.000000                           -0.000000 "-A@>*g  
f]%$HfF@  
Worst offenders: lkFv5^%  
Type                      Value      Criterion        Change Bz9!a
k~4  
TSTY   2            -0.20000000     0.35349910    -0.19053324 hM/|k0YV  
TSTY   2             0.20000000     0.35349910    -0.19053324 ,V.X-`Y  
TSTX   2            -0.20000000     0.35349910    -0.19053324  yYp!s
 
TSTX   2             0.20000000     0.35349910    -0.19053324 VCNg`6!x  
TSTY   1            -0.20000000     0.42678383    -0.11724851 +<|6y46  
TSTY   1             0.20000000     0.42678383    -0.11724851 B Lw ssr.  
TSTX   1            -0.20000000     0.42678383    -0.11724851 D$I7Gz,w{  
TSTX   1             0.20000000     0.42678383    -0.11724851 L@t<%fy@  
TSTY   3            -0.20000000     0.42861670    -0.11541563 w2YfFtgD,  
TSTY   3             0.20000000     0.42861670    -0.11541563 "S_t%m&R  
K82pWpR  
Estimated Performance Changes based upon Root-Sum-Square method: : JD%=w_  
Nominal MTF                 :     0.54403234 F%+/j5~^  
Estimated change            :    -0.36299231 # 0dN!l;  
Estimated MTF               :     0.18104003 +(`  
O!\P]W4r$  
Compensator Statistics: nQa5e_q!u  
Change in back focus: U_wn/wcLS  
Minimum            :        -0.000000 3uZY.H+H
 
Maximum            :         0.000000 py]m^)yc  
Mean               :        -0.000000 _b&Mrd  
Standard Deviation :         0.000000 8&IsZPq%
l  
mawomna  
Monte Carlo Analysis: N)RyRR.x1.  
Number of trials: 20 X2}\i5{  
N&]v\MjI62  
Initial Statistics: Normal Distribution +%OINMo.A  
>8"oO[U5>  
  Trial       Criterion        Change Vl%AN;o  
      1     0.42804416    -0.11598818 (CJiCtAsl`  
Change in Focus                :      -0.400171 8V`NQS$  
      2     0.54384387    -0.00018847 GvF8S MO[x  
Change in Focus                :       1.018470 2E33m*C2  
      3     0.44510003    -0.09893230 A[ 9 @:z  
Change in Focus                :      -0.601922 +iz5%Qe<f  
      4     0.18154684    -0.36248550 x%pC.0%  
Change in Focus                :       0.920681 ! @{rkp  
      5     0.28665820    -0.25737414 MUhC6s\F  
Change in Focus                :       1.253875 F[<EXLQ  
      6     0.21263372    -0.33139862 nfJ|&'T  
Change in Focus                :      -0.903878 *Z>Yv37P  
      7     0.40051424    -0.14351809 L-hK(W!8pt  
Change in Focus                :      -1.354815 bE#=\kf|  
      8     0.48754161    -0.05649072 guz{DBlK  
Change in Focus                :       0.215922 6F6[w?   
      9     0.40357468    -0.14045766 ^m;dEe&@F  
Change in Focus                :       0.281783 %_0,z`f  
     10     0.26315315    -0.28087919 7?-eR-  
Change in Focus                :      -1.048393 kT@RA}  
     11     0.26120585    -0.28282649 ]wh8m1  
Change in Focus                :       1.017611 },KY9w  
     12     0.24033815    -0.30369419 7Bm 18  
Change in Focus                :      -0.109292 [t*m$0[:  
     13     0.37164046    -0.17239188 /ZqBO*]  
Change in Focus                :      -0.692430 cTu7U=%  
     14     0.48597489    -0.05805744 #P.jlpZk  
Change in Focus                :      -0.662040 -CfGWO#Gbx  
     15     0.21462327    -0.32940907 0L"CM?C  
Change in Focus                :       1.611296 h>-J
XuN  
     16     0.43378226    -0.11025008 Rn~FCj,-  
Change in Focus                :      -0.640081 ";E Mu(IXb  
     17     0.39321881    -0.15081353 j2# nCU54Z  
Change in Focus                :       0.914906 !-b4@=f:  
     18     0.20692530    -0.33710703 JYL/p9K[I  
Change in Focus                :       0.801607 o"~ODN"L  
     19     0.51374068    -0.03029165 :_JZn`Cab  
Change in Focus                :       0.947293 drP2%u  
     20     0.38013374    -0.16389860 9 P_`IsVK  
Change in Focus                :       0.667010 n"vl%!B  
\bY
uAE1q  
Number of traceable Monte Carlo files generated: 20 []:;8fY  
SQ|pH"  
Nominal     0.54403234 Os^sOOSY  
Best        0.54384387    Trial     2 jT"P$0sJAd  
Worst       0.18154684    Trial     4 y ,
isK  
Mean        0.35770970 3{RuR+yi  
Std Dev     0.11156454 dl;~-'0  
mbxJS_P  
S>}jsP:V  
Compensator Statistics: R~8gw^w![  
Change in back focus: H `y.jSNi  
Minimum            :        -1.354815 fpf1^TZ  
Maximum            :         1.611296 R5 47  
Mean               :         0.161872 #\N?ka}!  
Standard Deviation :         0.869664 0fA42*s;  
a(Ka2;M4J  
90% >       0.20977951               w]]`/`  
80% >       0.22748071               jUtrFl  
50% >       0.38667627               j}XTa[  
20% >       0.46553746               4r#O._Z  
10% >       0.50064115                bcL>S$B  
!Sr^4R+Z  
End of Run. 7vUfA"  
Qw
XM<qG*  
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 o^dt# &  

图片:3.JPG

MV6%~T  
fZ$
<'(t  
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 I8HUH*|)n  
A[J9v{bD  
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                 rsBF\(3b~  
80% >       0.22748071                 FU!U{qDI  
50% >       0.38667627                 xp/u, q  
20% >       0.46553746                 ;G!X?(%+  
10% >       0.50064115 s .^9;%@$J  
[=e61Z  
最后这个数值是MTF值呢，还是MTF的公差？ Q9K Gf;  
*[ Wh9 ,H  
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？？？   GY,@jp|R  
PNT.9 *d  
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  : @+{S-iD"  
90% >       0.20977951                 {UUVN/$  
80% >       0.22748071                 *e8V4P  
50% >       0.38667627                 n!N;WL3k  
20% >       0.46553746                 =}q4ked/  
10% >       0.50064115 )5&m:R9  
....... +}Q4 g]M8  

6F(
yH4  
oqY?#p/  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   +Va?wAnr  
Mode                : Sensitivities I{AU,  
Sampling            : 2 ^GAdl
}  
Nominal Criterion   : 0.54403234 ,mX|TI<*  
Test Wavelength     : 0.6328 ;`+RSr^8$  
?dmMGm0T9  
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？ yUSB{DLpla  
4d 3Znpf  
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