[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 '/%H3A#L  
2I{"XB  

<QGXy=  

h!9ei6  
然后添加了默认公差分析，基本没变 Srd4))2/0  
kg\>
k2h  
|(^PS8wG  
<ZR9GlIr  
然后运行分析的结果如下： UkGCyGyZ[  
Y\'}a+:@Ph  
Analysis of Tolerances ~flV`wy$$1  
8*a&Jl  
File : E:\光学设计资料\zemax练习\f500.ZMX g< .qUBPKX  
Title: `5Zz5V  
Date : TUE JUN 21 2011 jZrq{Z<  
Eu04e N  
Units are Millimeters. eh#(eua0/  
All changes are computed using linear differences. [z9Z5sLO  
0+b1vhQ  
Paraxial Focus compensation only. Yc*;/T}  
lsNd_7k  
WARNING: Solves should be removed prior to tolerancing. #:%/(j  
)dd@\
n$6  
Mnemonics: %ULr8)R;  
TFRN: Tolerance on curvature in fringes. 9(wK@  
TTHI: Tolerance on thickness. x]ot 2  
TSDX: Tolerance on surface decentering in x. ;i:d+!3XwC  
TSDY: Tolerance on surface decentering in y. ;t`&n['N>  
TSTX: Tolerance on surface tilt in x (degrees). 9=2$8JN=(l  
TSTY: Tolerance on surface tilt in y (degrees).
IIx#
2r  
TIRR: Tolerance on irregularity (fringes). Uf+%W;}  
TIND: Tolerance on Nd index of refraction. NQ2E  
TEDX: Tolerance on element decentering in x. H} g{Cr"Ex  
TEDY: Tolerance on element decentering in y. jWfa;&Ra  
TETX: Tolerance on element tilt in x (degrees). S|+o-[e8O  
TETY: Tolerance on element tilt in y (degrees). jEJT-*I1+  
M
\Kx'N  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. UW EV^ &"x  
Ooy7*W';  
WARNING: Boundary constraints on compensators will be ignored. VyGJ=[ ]  
)53y AyP  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm Mf``_=K  
Mode                : Sensitivities bA->{OPkT  
Sampling            : 2 x-3\Ls[I  
Nominal Criterion   : 0.54403234 lnR{j
tWP  
Test Wavelength     : 0.6328 sD wqH.L  
:9 ^* ^T  
@F*%9LPv  
Fields: XY Symmetric Angle in degrees f& '  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY VP]%Hni]  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 12LL48bi  
?6Y?a2 |  
Sensitivity Analysis: rw #$lP  
|Xy6PN8  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| M=r)I~  
Type                      Value      Criterion        Change          Value      Criterion        Change
s->^=dy  
Fringe tolerance on surface 1 V "h +L7T  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 J/*`7Pd  
Change in Focus                :      -0.000000                            0.000000 sLQ^F  
Fringe tolerance on surface 2 ~/P[J  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 | %Vh`HT  
Change in Focus                :       0.000000                            0.000000 b SU~XGPB  
Fringe tolerance on surface 3 w`zTR0`  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 9q[oa5INd  
Change in Focus                :      -0.000000                            0.000000 z' >_Mc6  
Thickness tolerance on surface 1 kPLxEwl  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 /I0%Z+`=  
Change in Focus                :       0.000000                            0.000000 y h9*z3  
Thickness tolerance on surface 2 @I!0-OjL  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 FJP-y5  
Change in Focus                :       0.000000                           -0.000000 S|`o]?nc>  
Decenter X tolerance on surfaces 1 through 3 e**qF=HCw  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 [u*5z.^  
Change in Focus                :       0.000000                            0.000000 s!
7y  
Decenter Y tolerance on surfaces 1 through 3 Npy:!  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 G<v&4/\p`M  
Change in Focus                :       0.000000                            0.000000 C>*u()q>4h  
Tilt X tolerance on surfaces 1 through 3 (degrees) *bA.zmzM  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 O@C@eW#  
Change in Focus                :       0.000000                            0.000000 ;;N9>M?b  
Tilt Y tolerance on surfaces 1 through 3 (degrees) NHZz _a=  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 ^$hH1H+V  
Change in Focus                :       0.000000                            0.000000 %OOl'o"V{s  
Decenter X tolerance on surface 1 _zi|  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 $ gS>FJ  
Change in Focus                :       0.000000                            0.000000 A2jUmK.&  
Decenter Y tolerance on surface 1 nc|p)  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 | h#u^v3  
Change in Focus                :       0.000000                            0.000000 ]3.;PWa:  
Tilt X tolerance on surface (degrees) 1 '$%l7  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 wi6 ~}~%  
Change in Focus                :       0.000000                            0.000000 DN57p!z
 
Tilt Y tolerance on surface (degrees) 1 wcY?rE9  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 }?Ai87-{  
Change in Focus                :       0.000000                            0.000000 F@B]et7  
Decenter X tolerance on surface 2 (0_2sfS  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 XuM'_FN`A<  
Change in Focus                :       0.000000                            0.000000 :^B1~p(?sK  
Decenter Y tolerance on surface 2 RdRp.pb8  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 ;@Y;g(bw:  
Change in Focus                :       0.000000                            0.000000 5taT5?n2  
Tilt X tolerance on surface (degrees) 2 _^%,x  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 _.Uh)-yR  
Change in Focus                :       0.000000                            0.000000 x-&@wMqkc  
Tilt Y tolerance on surface (degrees) 2 mSh[}%swj  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 nk's_a*Z  
Change in Focus                :       0.000000                            0.000000 CN8Y\<Ar  
Decenter X tolerance on surface 3 Vb]=B~^`  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 %^1V4  
Change in Focus                :       0.000000                            0.000000 JO6)-U$7UG  
Decenter Y tolerance on surface 3 +}os&[S  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 KF!Yf\  
Change in Focus                :       0.000000                            0.000000 ,M ^<CJ  
Tilt X tolerance on surface (degrees) 3 PP33i@G  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 R)s:rJQ=p  
Change in Focus                :       0.000000                            0.000000 jkF
^-Up.  
Tilt Y tolerance on surface (degrees) 3 SbrecZ  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 Ls+2Zbh  
Change in Focus                :       0.000000                            0.000000 "n5N[1bk  
Irregularity of surface 1 in fringes dn$!&
  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 Gm^U;u}=f  
Change in Focus                :       0.000000                            0.000000 |~mOfuQb  
Irregularity of surface 2 in fringes >$/>#e~  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 N]=q|D  
Change in Focus                :       0.000000                            0.000000 ,w:U#r~s"  
Irregularity of surface 3 in fringes HJ[cM6$2  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 XW)lDiJl  
Change in Focus                :       0.000000                            0.000000 O23k:=Av  
Index tolerance on surface 1 YHygo#4=8  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 4*cEag   
Change in Focus                :       0.000000                            0.000000 a![{M<Y~  
Index tolerance on surface 2 ytJ/g/,A0i  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 `%9 uE(  
Change in Focus                :       0.000000                           -0.000000 bI9~jWgGp  
LG|fq/;  
Worst offenders: ~/iKh11  
Type                      Value      Criterion        Change aP
@N)"  
TSTY   2            -0.20000000     0.35349910    -0.19053324 Ww+IWW@  
TSTY   2             0.20000000     0.35349910    -0.19053324 ZdWm:(nkU  
TSTX   2            -0.20000000     0.35349910    -0.19053324 h_3E)jc  
TSTX   2             0.20000000     0.35349910    -0.19053324 U,{eHe ?>T  
TSTY   1            -0.20000000     0.42678383    -0.11724851 J$w<$5UY  
TSTY   1             0.20000000     0.42678383    -0.11724851 `MN4uC  
TSTX   1            -0.20000000     0.42678383    -0.11724851 V1`o%;j  
TSTX   1             0.20000000     0.42678383    -0.11724851 :v&$o'Sak  
TSTY   3            -0.20000000     0.42861670    -0.11541563 Ed df2;-.  
TSTY   3             0.20000000     0.42861670    -0.11541563 &>W$6>@  
ep)n_!$OH"  
Estimated Performance Changes based upon Root-Sum-Square method: dhf!o0'1M  
Nominal MTF                 :     0.54403234 x,@B(9No  
Estimated change            :    -0.36299231 U-(01-  
Estimated MTF               :     0.18104003 S3*`jF>q  
XZ]uUP  
Compensator Statistics: bP$dU,@p~  
Change in back focus: lc1(t:"[  
Minimum            :        -0.000000 }t=!(GOb}  
Maximum            :         0.000000 3-qr)h  
Mean               :        -0.000000 _Gi4A  
Standard Deviation :         0.000000 }Gm>`cw-  
 eFTpnG  
Monte Carlo Analysis: 5o'FS{6U  
Number of trials: 20 :tB1D@Cb6  
;dtA4:IRZ4  
Initial Statistics: Normal Distribution l<LP&  
kY|utoAP  
  Trial       Criterion        Change mt+Oi70  
      1     0.42804416    -0.11598818 RSyUaA  
Change in Focus                :      -0.400171 %G/hD  
      2     0.54384387    -0.00018847 K6/Q}W
 
Change in Focus                :       1.018470 I7vz+>Jr  
      3     0.44510003    -0.09893230 < #}5IQ5`Z  
Change in Focus                :      -0.601922 5z8d} I  
      4     0.18154684    -0.36248550 TA`1U;c{n  
Change in Focus                :       0.920681 *ebSq)  
      5     0.28665820    -0.25737414 c%2QZC  
Change in Focus                :       1.253875 ;
!mzyb*  
      6     0.21263372    -0.33139862 F^t DL:  
Change in Focus                :      -0.903878 [P=Jw:E  
      7     0.40051424    -0.14351809 vrhT<+q  
Change in Focus                :      -1.354815 y^,1a[U.  
      8     0.48754161    -0.05649072 oWim}Er=  
Change in Focus                :       0.215922 rq/yD,I,  
      9     0.40357468    -0.14045766 :bu/^mW[  
Change in Focus                :       0.281783 T@:Wp4>69  
     10     0.26315315    -0.28087919 L
_uVL#To  
Change in Focus                :      -1.048393 7Oa#c<2]  
     11     0.26120585    -0.28282649 RK'\C\gMDu  
Change in Focus                :       1.017611 tqvN0vY5  
     12     0.24033815    -0.30369419 0d"[l@UU0  
Change in Focus                :      -0.109292 p$NQyS5C"S  
     13     0.37164046    -0.17239188 Pw7]r<Q  
Change in Focus                :      -0.692430 <ro7vPKNa  
     14     0.48597489    -0.05805744 *8yAG]z  
Change in Focus                :      -0.662040 F3v!AvA|  
     15     0.21462327    -0.32940907 B:;pvW]  
Change in Focus                :       1.611296 U0 Yll4E  
     16     0.43378226    -0.11025008 b8`)y<7  
Change in Focus                :      -0.640081 G C),N\@Q  
     17     0.39321881    -0.15081353 [LjT*bi  
Change in Focus                :       0.914906 g:'xae/]S  
     18     0.20692530    -0.33710703 qPX~@^`9  
Change in Focus                :       0.801607 0_95|3kc  
     19     0.51374068    -0.03029165 [fya)}  
Change in Focus                :       0.947293 6y%qVx#!  
     20     0.38013374    -0.16389860 (lBCO?`fx  
Change in Focus                :       0.667010 dUeN*Nq&(,  
E"\<s3  
Number of traceable Monte Carlo files generated: 20 DkY4MH?  
q1$N>;&  
Nominal     0.54403234 ]_mb7X>  
Best        0.54384387    Trial     2  N_kMK  
Worst       0.18154684    Trial     4 ??
-[eB.  
Mean        0.35770970 :t"^6xt  
Std Dev     0.11156454 (Du@ S  
~drS} V  
F'={q{2wH  
Compensator Statistics: V%7WUq  
Change in back focus: Gv!2f  
Minimum            :        -1.354815 ]^. _z  
Maximum            :         1.611296 =1FRFZI!j  
Mean               :         0.161872 I+%[d^,  
Standard Deviation :         0.869664 {NmWQyEv  
U8s2|G;K  
90% >       0.20977951               7{e 4c  
80% >       0.22748071               i^X]j  
50% >       0.38667627               9N#_(uwt  
20% >       0.46553746               fa jGZyd0:  
10% >       0.50064115                {k>&?Vd!   
I*:%ni2  
End of Run.
aD<A.Lhy  
XV7Ex\D*  
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 vjbASFF0=  
,8S/t+H  
''A_[J `>  
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 |k )=0mCz  
YFLZ%(  
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                 ]vB$~3||  
80% >       0.22748071                 vSGH[nyCY  
50% >       0.38667627                 i7CX65&b  
20% >       0.46553746                 H9Gh>u]}  
10% >       0.50064115 PF0_8,@U  
[CTnXb  
最后这个数值是MTF值呢，还是MTF的公差？ F;
Spi  
T )&A2q  
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？？？   =bAx,,D#  
v1#otrf  
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  : G+9,,`2  
90% >       0.20977951                 qyb?49I  
80% >       0.22748071                 _=>He=v/  
50% >       0.38667627                 `K"L /I9  
20% >       0.46553746                 3F"lXguS  
10% >       0.50064115 e v}S+!|U  
....... 'B$
yo]  

kb%;=t2  
q$L%36u~/  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   4(n-_BS  
Mode                : Sensitivities =>S]q71  
Sampling            : 2 >dXGee>'M  
Nominal Criterion   : 0.54403234 ]|pe>:gf'  
Test Wavelength     : 0.6328 t|?ez4/{z  
d7^}tM  
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？ hR n<em  
hF?1y`20  
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