[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 ,Z5Fea  
&?r*p0MQC  
0Z8/R  
DJ|BM+  
然后添加了默认公差分析，基本没变 10O3Z9  
K:a3+k d
 
3a^)u-9,x  
1a*6ZGk.  
然后运行分析的结果如下： u GAh7Sop  
dQK`sLChv  
Analysis of Tolerances yKlU6t&` G  
hLo>R'@uN  
File : E:\光学设计资料\zemax练习\f500.ZMX j/' g$  
Title: KC]tY9 FK  
Date : TUE JUN 21 2011 P9s_2KOF  
)ji@k(x27q  
Units are Millimeters. gsfhH0  
All changes are computed using linear differences. rei5{PC  
Q0WY$w1<  
Paraxial Focus compensation only. |(&oI(l5K  
+N8aq<l  
WARNING: Solves should be removed prior to tolerancing. xl9(ze  
IX.sy  
Mnemonics: )$h-ZYc  
TFRN: Tolerance on curvature in fringes. cd+^=esSO  
TTHI: Tolerance on thickness. pl?kS8#U?  
TSDX: Tolerance on surface decentering in x. m3luhGn  
TSDY: Tolerance on surface decentering in y. 3>M.]w6{  
TSTX: Tolerance on surface tilt in x (degrees). *F|+2?a:$  
TSTY: Tolerance on surface tilt in y (degrees). }_]As}E  
TIRR: Tolerance on irregularity (fringes). p {?}g
'  
TIND: Tolerance on Nd index of refraction. | +fwvi&a  
TEDX: Tolerance on element decentering in x. zhjJ>d%w  
TEDY: Tolerance on element decentering in y. 0mVuD\#=!  
TETX: Tolerance on element tilt in x (degrees). PF67z]<o  
TETY: Tolerance on element tilt in y (degrees). 7jT#BWt  
zsQF,7/}B  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. kU1 %f o  
Az9J\V~"  
WARNING: Boundary constraints on compensators will be ignored. F^]aC98]1  
"*t6t4/Q  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm Q K j1yG0i  
Mode                : Sensitivities V(Dj
F=8  
Sampling            : 2 80HEAv,O  
Nominal Criterion   : 0.54403234 ) G|"jFP  
Test Wavelength     : 0.6328 F@EZ;[  
r.?+gW!C  
#r(a~  
Fields: XY Symmetric Angle in degrees Zikm?(J  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 8;0^'Qr8  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 Hva{A #  
w~]}
acP  
Sensitivity Analysis: M&OsRrq  
]o `
4Z"  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| RW)k_#%=  
Type                      Value      Criterion        Change          Value      Criterion        Change QU,?}
w'?d  
Fringe tolerance on surface 1 pj+tjF6Np  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 ]a=l^Pc(xN  
Change in Focus                :      -0.000000                            0.000000 v|>BDN@,6  
Fringe tolerance on surface 2 t:disL&!E  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 t9]r  
Change in Focus                :       0.000000                            0.000000 Rn8#0%/Q  
Fringe tolerance on surface 3 [:BW+6  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 kHZKj!!R  
Change in Focus                :      -0.000000                            0.000000 5uzpTNAMM1  
Thickness tolerance on surface 1 [|
jIC  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 ?nY/, q&  
Change in Focus                :       0.000000                            0.000000 F
\:{}782u  
Thickness tolerance on surface 2 XGL"
gD   
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 Sw[=S '(l  
Change in Focus                :       0.000000                           -0.000000 f}A^]6MO:  
Decenter X tolerance on surfaces 1 through 3 =qan%=0"h  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 27$\sG|g  
Change in Focus                :       0.000000                            0.000000 g*^wF?t'T  
Decenter Y tolerance on surfaces 1 through 3 f&f[La  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 c'SM>7L  
Change in Focus                :       0.000000                            0.000000 #i6[4X?  
Tilt X tolerance on surfaces 1 through 3 (degrees) ]2g5Ka[>w  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 \#HL`R"  
Change in Focus                :       0.000000                            0.000000 N:5b1TdI,  
Tilt Y tolerance on surfaces 1 through 3 (degrees) Y*"<@?n8?x  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 e_\SSH@tw  
Change in Focus                :       0.000000                            0.000000 WtMcI>4w  
Decenter X tolerance on surface 1 uLF\K+cz  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 s9=pV4fA~w  
Change in Focus                :       0.000000                            0.000000 g\E ._ab<  
Decenter Y tolerance on surface 1 j^:b-:F  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 zC[i <'h!T  
Change in Focus                :       0.000000                            0.000000 +HYN$>  
Tilt X tolerance on surface (degrees) 1 UqY J#&MqY  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 x`wZtv\  
Change in Focus                :       0.000000                            0.000000 RiwEuY  
Tilt Y tolerance on surface (degrees) 1 dV'6m@C
 
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 F@oT7NB/n  
Change in Focus                :       0.000000                            0.000000 @:I\\S@bN  
Decenter X tolerance on surface 2 34HFrMi  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 3~#ZE;>#  
Change in Focus                :       0.000000                            0.000000 *vEU}SxRuv  
Decenter Y tolerance on surface 2 jp"XS  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 +*WUH513  
Change in Focus                :       0.000000                            0.000000 r@\,VD6J  
Tilt X tolerance on surface (degrees) 2 hrUm}@d  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 Z{Lmd`<w`j  
Change in Focus                :       0.000000                            0.000000 x A@|I#  
Tilt Y tolerance on surface (degrees) 2 `@W3sW/^  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 "0p +SZ~D  
Change in Focus                :       0.000000                            0.000000 Q5T(;u6  
Decenter X tolerance on surface 3 H!Fr("6}  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 EY=\C$3J:  
Change in Focus                :       0.000000                            0.000000 17?NR\Q  
Decenter Y tolerance on surface 3 RI7qsm6RN  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 ot&j HS'  
Change in Focus                :       0.000000                            0.000000 ayB=|*Q"  
Tilt X tolerance on surface (degrees) 3
dfYYyE  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 WMt&8W5  
Change in Focus                :       0.000000                            0.000000 ]0at2  
Tilt Y tolerance on surface (degrees) 3 &6=TtTp"9  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 qJe&jLZa  
Change in Focus                :       0.000000                            0.000000 4+Li)A:4.  
Irregularity of surface 1 in fringes w-{#6/<kI5  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 v]UU&Jq8U  
Change in Focus                :       0.000000                            0.000000 S}XB |  
Irregularity of surface 2 in fringes &VtWSq-)  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 )eIz{Mdp=  
Change in Focus                :       0.000000                            0.000000 GFSlYG  
Irregularity of surface 3 in fringes Xuz8"b5^Zx  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 3}.mp}K5  
Change in Focus                :       0.000000                            0.000000 0%(4G83gw  
Index tolerance on surface 1 (@N~ j&
  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 uaZ"x&oZ#  
Change in Focus                :       0.000000                            0.000000 8VBkIYgb  
Index tolerance on surface 2 9OO0Ht4j  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 'Kt4O9=p  
Change in Focus                :       0.000000                           -0.000000 83p$!8]u  
Z`0r]V`Ys  
Worst offenders: +qu@dU0\`|  
Type                      Value      Criterion        Change ^"6D0!'N  
TSTY   2            -0.20000000     0.35349910    -0.19053324 Q9Xmb2LN  
TSTY   2             0.20000000     0.35349910    -0.19053324 NoSqzJyh  
TSTX   2            -0.20000000     0.35349910    -0.19053324 ~0Q\Lp);  
TSTX   2             0.20000000     0.35349910    -0.19053324 Z]1z*dv  
TSTY   1            -0.20000000     0.42678383    -0.11724851 8Pnqmjjj  
TSTY   1             0.20000000     0.42678383    -0.11724851 VygXhh^7\  
TSTX   1            -0.20000000     0.42678383    -0.11724851 ePu2t3E  
TSTX   1             0.20000000     0.42678383    -0.11724851 !<['iM  
TSTY   3            -0.20000000     0.42861670    -0.11541563 ID{Pzmt-  
TSTY   3             0.20000000     0.42861670    -0.11541563 pE YrmC  
T^-H_|/M  
Estimated Performance Changes based upon Root-Sum-Square method: ZQJw2LAgO  
Nominal MTF                 :     0.54403234 <W^XSk  
Estimated change            :    -0.36299231 Sf.8Ibw  
Estimated MTF               :     0.18104003 7!` C TE  
;{F;e)${M  
Compensator Statistics: z!
t3xFN&/  
Change in back focus: '6Z/-V4k  
Minimum            :        -0.000000 K_w0+oY a  
Maximum            :         0.000000 $HR(|{piZ  
Mean               :        -0.000000 zN729wK  
Standard Deviation :         0.000000 Hi4@!]  
SjNwT[.nr7  
Monte Carlo Analysis: 2kmna/Qa6  
Number of trials: 20 .-1{,o/
&Q  
6m;wO r  
Initial Statistics: Normal Distribution 5e~{7{  
wTgx(LtH  
  Trial       Criterion        Change gC,0+Y~  
      1     0.42804416    -0.11598818  zxynEdO  
Change in Focus                :      -0.400171 %(wsGNd  
      2     0.54384387    -0.00018847 w!GU~0~3[  
Change in Focus                :       1.018470 }1^tK(Am  
      3     0.44510003    -0.09893230 Kw5+4R(5  
Change in Focus                :      -0.601922 bQ:3G;  
      4     0.18154684    -0.36248550 #\!hBL @b  
Change in Focus                :       0.920681 ~]t2?SqNm  
      5     0.28665820    -0.25737414 (w7cdqe  
Change in Focus                :       1.253875 Fy+7{=?^F  
      6     0.21263372    -0.33139862 3\U,Kg  
Change in Focus                :      -0.903878 SUFaHHk@/b  
      7     0.40051424    -0.14351809 fU){]YP  
Change in Focus                :      -1.354815
uzn))/"  
      8     0.48754161    -0.05649072 ~?8x0  
Change in Focus                :       0.215922 y[7xK}`_  
      9     0.40357468    -0.14045766 jJ{ w -$  
Change in Focus                :       0.281783 =w>>7u$4  
     10     0.26315315    -0.28087919 Ul~}@^m]4}  
Change in Focus                :      -1.048393 "=5vgg3  
     11     0.26120585    -0.28282649 OmUw.VH  
Change in Focus                :       1.017611 P A+e= %  
     12     0.24033815    -0.30369419 x@bl]Z(ne/  
Change in Focus                :      -0.109292 A"T. nqB^y  
     13     0.37164046    -0.17239188 bU +eJU_%  
Change in Focus                :      -0.692430 '/"M02a  
     14     0.48597489    -0.05805744 d-S'y-V?d  
Change in Focus                :      -0.662040 :Tl6:=B  
     15     0.21462327    -0.32940907 MH~qfH>K  
Change in Focus                :       1.611296 @BQBNGR1  
     16     0.43378226    -0.11025008 r3bvuq,6$  
Change in Focus                :      -0.640081 f`";
Q/
rG  
     17     0.39321881    -0.15081353 +M%2m3.Jo  
Change in Focus                :       0.914906 kGTc~p(  
     18     0.20692530    -0.33710703 X72X:"  
Change in Focus                :       0.801607 OQb9ijLeK  
     19     0.51374068    -0.03029165 Chi<)P$^  
Change in Focus                :       0.947293 8LM1oal}  
     20     0.38013374    -0.16389860 !iz vY  
Change in Focus                :       0.667010 n[w,x;  
CzsY=DBH=  
Number of traceable Monte Carlo files generated: 20 oP`M\KXau  
N %/DN  
Nominal     0.54403234 _w,0wn9N$  
Best        0.54384387    Trial     2 \rnG 1o  
Worst       0.18154684    Trial     4 !5 :[XvI#  
Mean        0.35770970 ob5nk^y  
Std Dev     0.11156454 Ol5xyj  
qN,FX#DP  
9PfU'm|
h  
Compensator Statistics: o 0 #]EMr  
Change in back focus: .t%Vx  
Minimum            :        -1.354815 Oqe.t;E 0}  
Maximum            :         1.611296 T-8nUo}i  
Mean               :         0.161872 I\6<)2j/L  
Standard Deviation :         0.869664 G+^$JN=  
KIl.?_61O  
90% >       0.20977951               Z!l!3(<G.f  
80% >       0.22748071               :\;uJ5  
50% >       0.38667627               <%JO3E  
20% >       0.46553746               ,%G2>PBt  
10% >       0.50064115                |(ju!&  
[j
n;| 3  
End of Run. ' 1]bjW*!  
l5nDt$Ex  
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 oi4Wxcj  
g*imswj7
 
wupD  
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 ^aWNtY' :  
D ;I;,Z  
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                 WfO$q^'?DP  
80% >       0.22748071                 _oVA0@#n  
50% >       0.38667627                 ha~s< I  
20% >       0.46553746                
n9-[z2n  
10% >       0.50064115 N\&;R$[9:  
6\@, Lb  
最后这个数值是MTF值呢，还是MTF的公差？ ^k##a-t<_>  
1]`HX=cl  
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？？？   3s`3}DKK  
S`
KCVQ>V  
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  : -tQ|&fl  
90% >       0.20977951                 tDo0Q/`  
80% >       0.22748071                 icmDPq  
50% >       0.38667627                 lLhCk>a  
20% >       0.46553746                 *
$!LRmp?  
10% >       0.50064115 "K<VZ  
....... 4SYN$?.Mp  

MR}\fw$(.  
RAC-;~$WB  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   VA0TY/{ ]  
Mode                : Sensitivities Z=|@76  
Sampling            : 2 
oa
|0=  
Nominal Criterion   : 0.54403234 NmQ]qv  
Test Wavelength     : 0.6328 W5p}oN  
kBzzi^cl  
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？ +K?h]v]%  
&eg,*K}'  
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