[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 c=<5DC&p  
Rz"
gPU4;`  

图片:1.JPG

'7UIzk|  
6XI$ o,{  
然后添加了默认公差分析，基本没变 I2)#."=Ew  
I5#zo,9  

图片:2.jpg

-G
T&46hX  
;` !j~  
然后运行分析的结果如下： ]SG(YrF  
tjbI*Pw7(  
Analysis of Tolerances
tB<|7  
Y(C-o[-N  
File : E:\光学设计资料\zemax练习\f500.ZMX O_^;wey0}?  
Title: !T~C=,;  
Date : TUE JUN 21 2011 5?-@}PL!Y  
JQH>{OB  
Units are Millimeters. 1(jDBP!8  
All changes are computed using linear differences. >=d%t6%(  
%Iv*u sXP  
Paraxial Focus compensation only. ?K= X[  
N.?)s.D(  
WARNING: Solves should be removed prior to tolerancing. 15CKcM6  
lR0WDJv  
Mnemonics: -}9>#<v  
TFRN: Tolerance on curvature in fringes. rfYFS96  
TTHI: Tolerance on thickness. fl o9iifZ  
TSDX: Tolerance on surface decentering in x. oE&#Tl?Vt  
TSDY: Tolerance on surface decentering in y. +K7oyZg  
TSTX: Tolerance on surface tilt in x (degrees). 0 ![  
TSTY: Tolerance on surface tilt in y (degrees). %OAvhutS  
TIRR: Tolerance on irregularity (fringes). eY8rm  
TIND: Tolerance on Nd index of refraction. 3pjK`"Nmz\  
TEDX: Tolerance on element decentering in x. y28 e=i  
TEDY: Tolerance on element decentering in y. VTJxVYE  
TETX: Tolerance on element tilt in x (degrees). l G $s(
 
TETY: Tolerance on element tilt in y (degrees). OpFm:j3  
YOQ>A*@4  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. v-!^a_3Ui  
'ARbJ1a  
WARNING: Boundary constraints on compensators will be ignored. +|zcjI'=O  
:bu]gj4e  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm r"&VG2c0K  
Mode                : Sensitivities ws< (LH  
Sampling            : 2 Wph@LRB]  
Nominal Criterion   : 0.54403234 N~+e\K6  
Test Wavelength     : 0.6328 maVfLVx-  
h+j{;evN  
t>JPK_b0  
Fields: XY Symmetric Angle in degrees >wf.C%  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY cc{^0JT  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 `}S;_g!  
Lb}$)AcC  
Sensitivity Analysis: pd}Cg'}X  
WnL7 A:sZ  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| PAS0 D #  
Type                      Value      Criterion        Change          Value      Criterion        Change \JbOT%1  
Fringe tolerance on surface 1 1`)e}
p&  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 ][1 iKT  
Change in Focus                :      -0.000000                            0.000000 l#fwNM/F  
Fringe tolerance on surface 2 '|@?R|i0  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 >$G'=N:=X&  
Change in Focus                :       0.000000                            0.000000 -^$`5Rk  
Fringe tolerance on surface 3 \`Ow)t:  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 Ft 6{g JBG  
Change in Focus                :      -0.000000                            0.000000 q.!<GqSgb  
Thickness tolerance on surface 1 DE!c+s_g4  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 `%Dz 8Z  
Change in Focus                :       0.000000                            0.000000 +jb<=ERV[  
Thickness tolerance on surface 2 s5J?,xu  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 ].HHTCD`c  
Change in Focus                :       0.000000                           -0.000000 K(}g!iT)~  
Decenter X tolerance on surfaces 1 through 3 W[t0hbVw  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 SSysOeD+  
Change in Focus                :       0.000000                            0.000000 $d5}OI"g  
Decenter Y tolerance on surfaces 1 through 3 v/x~L$[  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 HUalD3 \  
Change in Focus                :       0.000000                            0.000000 Dy|)u1?  
Tilt X tolerance on surfaces 1 through 3 (degrees) /&+*X)#v  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 .qS(-7<  
Change in Focus                :       0.000000                            0.000000 QE+HL8c^s  
Tilt Y tolerance on surfaces 1 through 3 (degrees) SaFNPnk=  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 1"f)\FPGe  
Change in Focus                :       0.000000                            0.000000 I6Ga'5bV  
Decenter X tolerance on surface 1 xTf|u  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 RX?y}BDo0  
Change in Focus                :       0.000000                            0.000000 .O6(QI*  
Decenter Y tolerance on surface 1 fVz0H1\J&  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 *;[g Ga~  
Change in Focus                :       0.000000                            0.000000 ^NXxMC(e+  
Tilt X tolerance on surface (degrees) 1 M`p[ Zq  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 _B7+n"t\r  
Change in Focus                :       0.000000                            0.000000 {ep.So6  
Tilt Y tolerance on surface (degrees) 1 r<5i  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 p(.z#o#  
Change in Focus                :       0.000000                            0.000000 dfT  
Decenter X tolerance on surface 2 uU/'oZ?  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 -8Hv3J'=  
Change in Focus                :       0.000000                            0.000000 #+L:V&QE  
Decenter Y tolerance on surface 2 pvhN.z  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 }///k]_Sh  
Change in Focus                :       0.000000                            0.000000 Xxr"Gc[  
Tilt X tolerance on surface (degrees) 2 7gE/g`"#  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 EIF"{,m  
Change in Focus                :       0.000000                            0.000000 nQ#NW8*Fs  
Tilt Y tolerance on surface (degrees) 2 .4[M7)  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 wL[{6wL  
Change in Focus                :       0.000000                            0.000000 Axw+zO  
Decenter X tolerance on surface 3 ,j(S'Pw  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 @ \*Zq  
Change in Focus                :       0.000000                            0.000000 6"yIk4u:  
Decenter Y tolerance on surface 3 Yc^,Cj{OM  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 y wmC>`0p  
Change in Focus                :       0.000000                            0.000000 /YHnt-}v,  
Tilt X tolerance on surface (degrees) 3 z@[-+Q:  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 h-6x! 6pm  
Change in Focus                :       0.000000                            0.000000 !q 9PO  
Tilt Y tolerance on surface (degrees) 3 $0*D7P^8  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 7M<co,"  
Change in Focus                :       0.000000                            0.000000 xu.TS  
Irregularity of surface 1 in fringes `t>:i!s/  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 L:7 kp<E  
Change in Focus                :       0.000000                            0.000000 WHcw5_3#  
Irregularity of surface 2 in fringes ]/7#[  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 {_ {zs!r  
Change in Focus                :       0.000000                            0.000000 H18pVh
 
Irregularity of surface 3 in fringes Dlg9PyQ  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 R|[gEavFl  
Change in Focus                :       0.000000                            0.000000 Ge1"+:tbJ  
Index tolerance on surface 1 Hb\['VhzM  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 :"gu=u!  
Change in Focus                :       0.000000                            0.000000 %7 $X *  
Index tolerance on surface 2 OlM3G^1e1  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 [I,s:mn  
Change in Focus                :       0.000000                           -0.000000 ^*b11/7  
kOQ!]-;  
Worst offenders: T@d4NF#  
Type                      Value      Criterion        Change wQYW5X  
TSTY   2            -0.20000000     0.35349910    -0.19053324 ]Xg7XY  
TSTY   2             0.20000000     0.35349910    -0.19053324 Iz8gZ:rd0  
TSTX   2            -0.20000000     0.35349910    -0.19053324 >dnDN3x  
TSTX   2             0.20000000     0.35349910    -0.19053324 '#>(JN5\  
TSTY   1            -0.20000000     0.42678383    -0.11724851 D!mx&O9  
TSTY   1             0.20000000     0.42678383    -0.11724851 ijmGk:L(  
TSTX   1            -0.20000000     0.42678383    -0.11724851 \5fvD8>H  
TSTX   1             0.20000000     0.42678383    -0.11724851 0E#?H0<OeG  
TSTY   3            -0.20000000     0.42861670    -0.11541563 |a=7P  
TSTY   3             0.20000000     0.42861670    -0.11541563 ;0-R"c)-  
u5tUm  
Estimated Performance Changes based upon Root-Sum-Square method: RO| }WD)  
Nominal MTF                 :     0.54403234 hfpis==  
Estimated change            :    -0.36299231 W4=A.2[q  
Estimated MTF               :     0.18104003 @zT2!C?^L  
>3&9Wbv>  
Compensator Statistics: a~Yq0d?`D  
Change in back focus: ~)*uJ wW/a  
Minimum            :        -0.000000 ?N&s.  
Maximum            :         0.000000 !ezy v`  
Mean               :        -0.000000 meZZQ:eSl  
Standard Deviation :         0.000000 .gY=<bG/fA  
<MJ-w1A  
Monte Carlo Analysis: 8Yf=)  
Number of trials: 20 z\>ZgRi~n  
`:W}yo<F  
Initial Statistics: Normal Distribution XO}SPf-  
(?ZS9&y}  
  Trial       Criterion        Change j+Q+.39s-~  
      1     0.42804416    -0.11598818 ,%U\@*6=  
Change in Focus                :      -0.400171 cXK.^@du  
      2     0.54384387    -0.00018847 ]3uj~la  
Change in Focus                :       1.018470 g#o9[su  
      3     0.44510003    -0.09893230 ,
;n[_f  
Change in Focus                :      -0.601922 Jt3*(+J>/  
      4     0.18154684    -0.36248550 :VE0eJ]J6  
Change in Focus                :       0.920681 mt4X  
      5     0.28665820    -0.25737414 Z61L;E  
Change in Focus                :       1.253875 f<>CSjQ4c  
      6     0.21263372    -0.33139862 sU/vXweky"  
Change in Focus                :      -0.903878 R#!U
rhh  
      7     0.40051424    -0.14351809 WQMoAPfqL  
Change in Focus                :      -1.354815 fYlqaO4[  
      8     0.48754161    -0.05649072 T-Yb|@4  
Change in Focus                :       0.215922 bd[iD?epD]  
      9     0.40357468    -0.14045766 b{;LbHq+G  
Change in Focus                :       0.281783 2yVQqwQm  
     10     0.26315315    -0.28087919 PoD/i@  
Change in Focus                :      -1.048393 ;f /2u  
     11     0.26120585    -0.28282649 Zi<(>@z2  
Change in Focus                :       1.017611 on 4 $n7  
     12     0.24033815    -0.30369419 )NO,G  
Change in Focus                :      -0.109292 dv?t;D@p!  
     13     0.37164046    -0.17239188 XI"IEwB  
Change in Focus                :      -0.692430 zpg5
12\y  
     14     0.48597489    -0.05805744 M,we,!B0  
Change in Focus                :      -0.662040 rVwW%&  
     15     0.21462327    -0.32940907 A@e!~  
Change in Focus                :       1.611296 j|@8Vx
Z  
     16     0.43378226    -0.11025008 #I#_gjJkx  
Change in Focus                :      -0.640081 @_?Uowc8  
     17     0.39321881    -0.15081353 @{ L|&Mk!  
Change in Focus                :       0.914906 
YTg8Zg-Z  
     18     0.20692530    -0.33710703 dRUmC H  
Change in Focus                :       0.801607 k0
D):  
     19     0.51374068    -0.03029165 v!AfIcEV  
Change in Focus                :       0.947293 ;8w CQ  
     20     0.38013374    -0.16389860 DPfN*a-P(  
Change in Focus                :       0.667010 %yK- Q,'O  
3?TUt{3g  
Number of traceable Monte Carlo files generated: 20 eF?jNO3  
f6
m h_l  
Nominal     0.54403234 B/B`=%~5_^  
Best        0.54384387    Trial     2 -c#vWuLl  
Worst       0.18154684    Trial     4 _~;K]  
Mean        0.35770970 F(w<YU%6  
Std Dev     0.11156454 cL4Xh|NBp  
yF-
`f _  
QV -ZP'e^  
Compensator Statistics: $5@[l5cJU;  
Change in back focus: 0> QqsQ  
Minimum            :        -1.354815 zrwzI+4  
Maximum            :         1.611296 10_>EY`  
Mean               :         0.161872 RtEx WTc  
Standard Deviation :         0.869664 <&HHo>rl  

'tt4"z2  
90% >       0.20977951               f DPLB[  
80% >       0.22748071               WA5.qw  
50% >       0.38667627               [_*?~  
20% >       0.46553746               tUGF8?& G  
10% >       0.50064115                fn8|@)J  
TXqtE("BDl  
End of Run. Ob]J!.  
E9]*!^=/  
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 2B+qS'OT  

图片:3.JPG

+kq+x6&  
$)6x3&]P  
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 <slrzc_>&  
sIRfC< /P  
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                 *hh9
K  
80% >       0.22748071                 wM}AWmH  
50% >       0.38667627                 i/PL!'oq  
20% >       0.46553746                 VFKFO9  
10% >       0.50064115 z&\N^tBv  
*a-KQw  
最后这个数值是MTF值呢，还是MTF的公差？ yi2F#o 'K  
Az/B/BLB  
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？？？   X2{Aa T*M  
q9c-UQB(!  
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  : 5i'KGL  
90% >       0.20977951                 QBA{*@ A-  
80% >       0.22748071                 Z7 ++c<|p  
50% >       0.38667627                 v!=e]w6{  
20% >       0.46553746                
S_s;foT  
10% >       0.50064115 TN/&^/  
....... Ga` 8oY+~  

^;$9>yi1  
pP%+@;  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   9e&*++vf  
Mode                : Sensitivities |
7.X)h`  
Sampling            : 2 a;(,$q3M  
Nominal Criterion   : 0.54403234 @@}muW>;T  
Test Wavelength     : 0.6328 -*2b/=$u  
k"cKxzB  
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？ Eb8z`@p  
j92+kq>Xd  
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