[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 Dt9[uyP&  
xlqh,?'>W  

图片:1.JPG

X"KX_)GZD  
u_C/Y[ik  
然后添加了默认公差分析，基本没变 \9*,[mvC
 
2xchjU-  

图片:2.jpg

O~r.sJ}  
(5SN=6O  
然后运行分析的结果如下： k0=$mmmPY  
@q?zh'@;  
Analysis of Tolerances Btmv{'T_y@  
`g;`yJX<  
File : E:\光学设计资料\zemax练习\f500.ZMX -m&8SN  
Title: ]"3(UKx  
Date : TUE JUN 21 2011 e7j30Iy  
$6ZO V/0  
Units are Millimeters. ]#C;)Vy  
All changes are computed using linear differences. F
M c9oyU~  
`dH[&=S  
Paraxial Focus compensation only. 8?lp:kM  
g|W|>`>  
WARNING: Solves should be removed prior to tolerancing. '$]
u?m  
![wV}.}  
Mnemonics: 6wzTX8  
TFRN: Tolerance on curvature in fringes. +%$'(ts  
TTHI: Tolerance on thickness. ?#8s=t  
TSDX: Tolerance on surface decentering in x. YGBVGpE9  
TSDY: Tolerance on surface decentering in y. D(MolsKc?  
TSTX: Tolerance on surface tilt in x (degrees). :EISms  
TSTY: Tolerance on surface tilt in y (degrees). 1!@KRV  
TIRR: Tolerance on irregularity (fringes). IAD_Tck  
TIND: Tolerance on Nd index of refraction. 2d,q?VH$  
TEDX: Tolerance on element decentering in x. AwhXCq|k  
TEDY: Tolerance on element decentering in y. ,cR=W|6cQm  
TETX: Tolerance on element tilt in x (degrees). MCOz-8@|Y  
TETY: Tolerance on element tilt in y (degrees). I/ pv0  
3[Rb
VT  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. %)7HBj(*J  
;:nO5VFOg  
WARNING: Boundary constraints on compensators will be ignored. N798("  

`TM[7'  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm /( /)nYAjk  
Mode                : Sensitivities ]j.??'+rg  
Sampling            : 2 niZ/yW{w  
Nominal Criterion   : 0.54403234 4s?x 8oAy  
Test Wavelength     : 0.6328 aZ%
  
C.r9)#G  
Rc2|o.'y  
Fields: XY Symmetric Angle in degrees |OXufV?I  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY RO-ABFEi(  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 0jY#,t?>  
"o +" Jd  
Sensitivity Analysis: ;><9R@0  
KGCm@oy  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| FFH9$>A  
Type                      Value      Criterion        Change          Value      Criterion        Change .JNU3%s  
Fringe tolerance on surface 1 ,t4g^67R{  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 c;w%R8z  
Change in Focus                :      -0.000000                            0.000000 6~Y-bn"%D5  
Fringe tolerance on surface 2 gl/n*s#r_  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 zG_e=  
Change in Focus                :       0.000000                            0.000000 t_@xzt10y  
Fringe tolerance on surface 3 >gAq/'.Q  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 WH F>J  
Change in Focus                :      -0.000000                            0.000000 nwlo,[  
Thickness tolerance on surface 1 gf`uC0  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 |k~\E|^  
Change in Focus                :       0.000000                            0.000000 uf;^yQi  
Thickness tolerance on surface 2 zbt>5S_  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 -ec~~95  
Change in Focus                :       0.000000                           -0.000000 @Oe!*|?mS  
Decenter X tolerance on surfaces 1 through 3 tcYbM+4e  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 Xp<RGp7E  
Change in Focus                :       0.000000                            0.000000 a9=,P  
Decenter Y tolerance on surfaces 1 through 3 #t /.fd  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 30 VvZb  
Change in Focus                :       0.000000                            0.000000 ^ q]BCOfJ(  
Tilt X tolerance on surfaces 1 through 3 (degrees) V#;6<H"  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 =/@c9QaVB  
Change in Focus                :       0.000000                            0.000000 4&IBNc,sn  
Tilt Y tolerance on surfaces 1 through 3 (degrees) Cj?X+#J/@d  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 OczVObbS  
Change in Focus                :       0.000000                            0.000000 |t^7L )&y  
Decenter X tolerance on surface 1 " &B/v"nj  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 eR.ucTji  
Change in Focus                :       0.000000                            0.000000 yZ t}Jnv  
Decenter Y tolerance on surface 1 0r=:l/Pz  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 rf"%D<bb  
Change in Focus                :       0.000000                            0.000000 k36%n
*4  
Tilt X tolerance on surface (degrees) 1 S_cba(0-|\  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 eiB5 8b3  
Change in Focus                :       0.000000                            0.000000 3R%'<MV|  
Tilt Y tolerance on surface (degrees) 1 24_F`" :-=  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 wrq0fHwM  
Change in Focus                :       0.000000                            0.000000 7Wg0-{yK4  
Decenter X tolerance on surface 2 
?C   
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 N%{&%C6{  
Change in Focus                :       0.000000                            0.000000 lJ!+n<K+  
Decenter Y tolerance on surface 2 -[?q?w!?  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 YC\~PVG  
Change in Focus                :       0.000000                            0.000000 iJ_FJ[ U  
Tilt X tolerance on surface (degrees) 2 SS@F:5),  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 uGl+"/uDu  
Change in Focus                :       0.000000                            0.000000 dxlaoyv:  
Tilt Y tolerance on surface (degrees) 2 ^YzFEu$  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 b'`8$;MII  
Change in Focus                :       0.000000                            0.000000 -fu=RR  
Decenter X tolerance on surface 3 }0
c  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 \?)@ #Qs  
Change in Focus                :       0.000000                            0.000000 C.dN)?O  
Decenter Y tolerance on surface 3 `As
.1@  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 R*I{?+  
Change in Focus                :       0.000000                            0.000000 &Mbpv)V8  
Tilt X tolerance on surface (degrees) 3 -p =b5L  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 Hs<vCL \  
Change in Focus                :       0.000000                            0.000000 b`
E'MX_ m  
Tilt Y tolerance on surface (degrees) 3 az3rK4g  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 6bCC6G  
Change in Focus                :       0.000000                            0.000000 o|G.t
BpKg  
Irregularity of surface 1 in fringes 1lu_<?O  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 M
H }4F  
Change in Focus                :       0.000000                            0.000000 H"f%\'  
Irregularity of surface 2 in fringes )6dvWK  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 RS@*/.]o  
Change in Focus                :       0.000000                            0.000000 uNV(r"
 
Irregularity of surface 3 in fringes ;1K[N0xE  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 
2F+K(  
Change in Focus                :       0.000000                            0.000000 tv,iCV  
Index tolerance on surface 1 ='<0z?Af  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578
;Ad$Q9)EE  
Change in Focus                :       0.000000                            0.000000 +9>t; Ty  
Index tolerance on surface 2 _O~DJ"  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 D 4^2F(YRX  
Change in Focus                :       0.000000                           -0.000000 MnUal}MO  
Hw[u Sv8  
Worst offenders: x]6OE]]8L  
Type                      Value      Criterion        Change nE)?P*$3Z  
TSTY   2            -0.20000000     0.35349910    -0.19053324 lCg'K(|"  
TSTY   2             0.20000000     0.35349910    -0.19053324 i[A$K~f  
TSTX   2            -0.20000000     0.35349910    -0.19053324 [#V?]P\uV  
TSTX   2             0.20000000     0.35349910    -0.19053324 =rcqYPul0  
TSTY   1            -0.20000000     0.42678383    -0.11724851 ai[st+1  
TSTY   1             0.20000000     0.42678383    -0.11724851 XJTY91~R  
TSTX   1            -0.20000000     0.42678383    -0.11724851 +/*,%TdQ4  
TSTX   1             0.20000000     0.42678383    -0.11724851 9r!psRA:`)  
TSTY   3            -0.20000000     0.42861670    -0.11541563 ^.
y}2  
TSTY   3             0.20000000     0.42861670    -0.11541563 1I^[_ /_\y  
[5^"U+`{x  
Estimated Performance Changes based upon Root-Sum-Square method: /qA\|'~  
Nominal MTF                 :     0.54403234 k2muHKBlk  
Estimated change            :    -0.36299231 FS30RP3 `/  
Estimated MTF               :     0.18104003 _c?&G`  
yU3fM?
a  
Compensator Statistics: P#bZtWx'<N  
Change in back focus: 0t?:  
Minimum            :        -0.000000 p7}xgUxX  
Maximum            :         0.000000 '+^HeM^;  
Mean               :        -0.000000 %{g<{\@4(;  
Standard Deviation :         0.000000 ,Hn{nVU1R=  
Z?Y14L~%  
Monte Carlo Analysis: C]K|;VQ  
Number of trials: 20 gq4le=,v  
smW 7zGE  
Initial Statistics: Normal Distribution Fu:VRul=5$  
eS9uKb5n(  
  Trial       Criterion        Change ZAVjq;bq  
      1     0.42804416    -0.11598818 H->J.5~,K  
Change in Focus                :      -0.400171 Zoh[tO  
      2     0.54384387    -0.00018847 GV'Y'  
Change in Focus                :       1.018470 ZW n j-  
      3     0.44510003    -0.09893230 NL%5'8F>,  
Change in Focus                :      -0.601922 > f,G3Ay  
      4     0.18154684    -0.36248550 VeidB!GyP  
Change in Focus                :       0.920681 -bT1Qh X  
      5     0.28665820    -0.25737414 gnF]m0LR  
Change in Focus                :       1.253875 hDI_qZ  
      6     0.21263372    -0.33139862 rAq2  
Change in Focus                :      -0.903878 ?bu-6pkx]  
      7     0.40051424    -0.14351809 B B*]" gT  
Change in Focus                :      -1.354815 Uc]S7F#  
      8     0.48754161    -0.05649072 dBkw.VOW  
Change in Focus                :       0.215922 aaW(S K  
      9     0.40357468    -0.14045766 F[mL_JU   
Change in Focus                :       0.281783 `''\FPhh  
     10     0.26315315    -0.28087919 ;:NW  
Change in Focus                :      -1.048393 0w}OE8uq  
     11     0.26120585    -0.28282649 +@>K]hdr  
Change in Focus                :       1.017611 1:5jUUL8  
     12     0.24033815    -0.30369419 zI77#AUM  
Change in Focus                :      -0.109292 P 0v&*y3Y  
     13     0.37164046    -0.17239188 '=}F}[d"kk  
Change in Focus                :      -0.692430 aj;OG^(!2_  
     14     0.48597489    -0.05805744 Xi`K`Cu+  
Change in Focus                :      -0.662040 Kk|uN#m  
     15     0.21462327    -0.32940907 7xidBVx  
Change in Focus                :       1.611296 ]Z%9l(  
     16     0.43378226    -0.11025008 ~LqjW
U  
Change in Focus                :      -0.640081 z)N8#Y~vn  
     17     0.39321881    -0.15081353 :^7/+|}9p  
Change in Focus                :       0.914906 53X H|Ap  
     18     0.20692530    -0.33710703 bC{1LY0  
Change in Focus                :       0.801607 @%mJw u  
     19     0.51374068    -0.03029165 *CG-F=  
Change in Focus                :       0.947293 uBp"YX9rx  
     20     0.38013374    -0.16389860 V*HkFT  
Change in Focus                :       0.667010 Tov!X8p  
9D,`9L5-=  
Number of traceable Monte Carlo files generated: 20 AdV&w: ^yf  
Fy_D
[g  
Nominal     0.54403234 uh#"4-v  
Best        0.54384387    Trial     2 SJ4[n.tPI  
Worst       0.18154684    Trial     4 &0A^_Z .nA  
Mean        0.35770970 w+c%Y\:  
Std Dev     0.11156454 Kppi N+||  
Jb+cC)(  
4 0as7.q  
Compensator Statistics: 1#BMc%  
Change in back focus: ;Gf,$dbWn  
Minimum            :        -1.354815 8bT]NvCA  
Maximum            :         1.611296 v%8.o%G  
Mean               :         0.161872 _?Q0yVH;,  
Standard Deviation :         0.869664 I6!~(ND7  
+zM
WIG  
90% >       0.20977951               xx[XwN;  
80% >       0.22748071               ~wtl\-cY  
50% >       0.38667627               Se*o{V3s$  
20% >       0.46553746               701ei;  
10% >       0.50064115                
M:&g5y&  
i> }P V  
End of Run. `a*_b9  
x,)|;HXm  
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 t.0F  

图片:3.JPG

90ZMO7_  
w"?H4  
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 `
<}Q4p  
X
)P;UVR0  
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                 Nu}x`Qkmr  
80% >       0.22748071                 "$@>n(w  
50% >       0.38667627                 e u{  
20% >       0.46553746                 (T
&rvE  
10% >       0.50064115 :.2Tcq  
c:[z({
`  
最后这个数值是MTF值呢，还是MTF的公差？ \W%Aeg*c  
k 5~#_D>  
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？？？   S_ELZO#7  
c4\N
uy  
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  : @,9cpaL3  
90% >       0.20977951                 m-wK8]t9  
80% >       0.22748071                 '{-7%>`bn  
50% >       0.38667627                 <3SO1@
?  
20% >       0.46553746                 ]YF_c,Q  
10% >       0.50064115 .%x1%TN  
....... Y|3n^%I  

Q 1:7 9  
ab@1JAgs  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   ?c6`p3p3L  
Mode                : Sensitivities k^i\<@v  
Sampling            : 2 02F\1fXS  
Nominal Criterion   : 0.54403234 vMHJgpd&j  
Test Wavelength     : 0.6328 d7U%Q8?wUR  
6!|/(~  
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？ 5bHS|<  
Xf/qUa
o  
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