[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 \378rQU  
~Ei$nV  

图片:1.JPG

`iAF3:  
h-#6av:  
然后添加了默认公差分析，基本没变 qo90t{|c  
mPtZO*Fc  

图片:2.jpg

Q_Q''j(r6b  
hk(ZM#Bh  
然后运行分析的结果如下： Pmr5S4Ka  
@uqd.Q  
Analysis of Tolerances ?Wr+Q  
( iBl  
File : E:\光学设计资料\zemax练习\f500.ZMX 1MP~dRZ$  
Title: 1#V_Z^OL  
Date : TUE JUN 21 2011 \:# L)  
szZr4y<8|1  
Units are Millimeters. ]YnD  
All changes are computed using linear differences. =)H.cuc  
hLd^ agX  
Paraxial Focus compensation only. 7 S#J>*  
*v jmy/3  
WARNING: Solves should be removed prior to tolerancing. 55nlg>j  
dh`K`b4I  
Mnemonics: q1$N>;&  
TFRN: Tolerance on curvature in fringes. ]_mb7X>  
TTHI: Tolerance on thickness.  N_kMK  
TSDX: Tolerance on surface decentering in x. ??
-[eB.  
TSDY: Tolerance on surface decentering in y. ld|5TN1  
TSTX: Tolerance on surface tilt in x (degrees). G\/zkrxmv  
TSTY: Tolerance on surface tilt in y (degrees). o]J{{M'E  
TIRR: Tolerance on irregularity (fringes). <Dl*l{zba  
TIND: Tolerance on Nd index of refraction. V%7WUq  
TEDX: Tolerance on element decentering in x. ~9,,~db  
TEDY: Tolerance on element decentering in y. 6"LcJ%o  
TETX: Tolerance on element tilt in x (degrees). =1FRFZI!j  
TETY: Tolerance on element tilt in y (degrees). b(eNmu  
)0.kv2o.  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. ajbA\/\G;  
!=*g@mgF  
WARNING: Boundary constraints on compensators will be ignored. r_)' Ps  
xBThq?N?  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm 0rQMLx  
Mode                : Sensitivities :KSV4>X[%a  
Sampling            : 2 APn
|\  
Nominal Criterion   : 0.54403234 !1jBC.G1  
Test Wavelength     : 0.6328 
Q04al=  
)al]*[lY  
f O}pj:  
Fields: XY Symmetric Angle in degrees =57>!)  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 2@n{yYwy  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 Dzpq_F!;V  
lK?uXr7^  
Sensitivity Analysis: :T^a&)aL%  
!fV+z%:  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| 7X`g,b!  
Type                      Value      Criterion        Change          Value      Criterion        Change <,3
a3  
Fringe tolerance on surface 1 vONasD9At  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 du $:jN\}  
Change in Focus                :      -0.000000                            0.000000 CmP9Q2  
Fringe tolerance on surface 2 L4@K~8j7  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 a=|K%ii+Y  
Change in Focus                :       0.000000                            0.000000 1jmjg~W  
Fringe tolerance on surface 3 -V*R\,>  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 D
TX0  
Change in Focus                :      -0.000000                            0.000000 WA<v9#m  
Thickness tolerance on surface 1 a{L%7  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 <O(4
TO  
Change in Focus                :       0.000000                            0.000000 mxvp3t\  
Thickness tolerance on surface 2 8 `v-<J  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 `[y^ :mj  
Change in Focus                :       0.000000                           -0.000000 !4ocZmj\  
Decenter X tolerance on surfaces 1 through 3 aj-Km`5r}  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 YU'k#\gi*  
Change in Focus                :       0.000000                            0.000000 =}<IfNA  
Decenter Y tolerance on surfaces 1 through 3 [$ubNk;!z  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 nQF(vTDN  
Change in Focus                :       0.000000                            0.000000 J@/kIrx  
Tilt X tolerance on surfaces 1 through 3 (degrees) ")1:F>  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 juP7P[d$qW  
Change in Focus                :       0.000000                            0.000000 rP'me2 B  
Tilt Y tolerance on surfaces 1 through 3 (degrees) `Y0%cXi3  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 U"~>jZKk  
Change in Focus                :       0.000000                            0.000000 'NbHa!  
Decenter X tolerance on surface 1 '9%\;
 
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 `_6C{<O  
Change in Focus                :       0.000000                            0.000000 [@_Jj3`4  
Decenter Y tolerance on surface 1 ]"p
Vj6O  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 v1#otrf  
Change in Focus                :       0.000000                            0.000000 \:P>l
e'1  
Tilt X tolerance on surface (degrees) 1 s2a{>II6  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 j
}#w)M  
Change in Focus                :       0.000000                            0.000000 ,=uD^n:  
Tilt Y tolerance on surface (degrees) 1 _kC-dEGf!y  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 h!,v/7=  
Change in Focus                :       0.000000                            0.000000 FBG4pb9=~  
Decenter X tolerance on surface 2 b35fs]}u-6  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 Qry@ s5  
Change in Focus                :       0.000000                            0.000000  >^O7  
Decenter Y tolerance on surface 2 tb 5`cube  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 mwO6g~@`  
Change in Focus                :       0.000000                            0.000000 qRu~$K  
Tilt X tolerance on surface (degrees) 2 qfX6TV5J}!  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 mupT<_Y  
Change in Focus                :       0.000000                            0.000000 :S]\0;8]  
Tilt Y tolerance on surface (degrees) 2 s `e{}\  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 }czrj%6  
Change in Focus                :       0.000000                            0.000000 ~\r*  
Decenter X tolerance on surface 3 ,S\CC{!  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 &L3M]  
Change in Focus                :       0.000000                            0.000000 O4 w(T  
Decenter Y tolerance on surface 3 1l9G[o *  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 &Hrj3E  
Change in Focus                :       0.000000                            0.000000 r[e##M  
Tilt X tolerance on surface (degrees) 3 2bz2KB5>  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 I2XU(pYU  
Change in Focus                :       0.000000                            0.000000 pG_;$8Hc  
Tilt Y tolerance on surface (degrees) 3 ]iVcog"T  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 }ZYd4h|g\z  
Change in Focus                :       0.000000                            0.000000 ^"E^zHM(  
Irregularity of surface 1 in fringes -+-?w|}qV  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 @?ebuj5{e  
Change in Focus                :       0.000000                            0.000000 rDtY[  
Irregularity of surface 2 in fringes \Zk;ikEY  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047 C-xr"]#]  
Change in Focus                :       0.000000                            0.000000 c&6I[R  
Irregularity of surface 3 in fringes b\f O8{k  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 &{5,:%PXw  
Change in Focus                :       0.000000                            0.000000 >[f?vrz  
Index tolerance on surface 1 4>YR{  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 G+9,,`2  
Change in Focus                :       0.000000                            0.000000 XoK:N$\}t  
Index tolerance on surface 2 *YI98  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 VD AaYDi  
Change in Focus                :       0.000000                           -0.000000 TT%M'5&  
oE@a'*.\  
Worst offenders: @ 6\I~s(  
Type                      Value      Criterion        Change D'>_I.  
TSTY   2            -0.20000000     0.35349910    -0.19053324 x%=si[P  
TSTY   2             0.20000000     0.35349910    -0.19053324 B
X/8O<s0  
TSTX   2            -0.20000000     0.35349910    -0.19053324 #&+{mCjs  
TSTX   2             0.20000000     0.35349910    -0.19053324 je\Ph5"  
TSTY   1            -0.20000000     0.42678383    -0.11724851 W<{h,j8  
TSTY   1             0.20000000     0.42678383    -0.11724851 ]Ee?6]bN  
TSTX   1            -0.20000000     0.42678383    -0.11724851 TJd)K$O>  
TSTX   1             0.20000000     0.42678383    -0.11724851 k:i4=5^*GX  
TSTY   3            -0.20000000     0.42861670    -0.11541563 ,O5NLg-  
TSTY   3             0.20000000     0.42861670    -0.11541563 W_293["lS  
;7*[Bcj.  
Estimated Performance Changes based upon Root-Sum-Square method: t3WiomNCc  
Nominal MTF                 :     0.54403234  ,i NXK  
Estimated change            :    -0.36299231 U)TUOwF  
Estimated MTF               :     0.18104003 `%bypHeSp  
5PCqYN(:B  
Compensator Statistics: e)IzQ7Zex  
Change in back focus: _oL?*ks  
Minimum            :        -0.000000 j a[Et/r  
Maximum            :         0.000000 b#c:u2  
Mean               :        -0.000000 AOZP*\k  
Standard Deviation :         0.000000 PN%zIkbo  
,u=`uD  
Monte Carlo Analysis: n)/z0n!\  
Number of trials: 20 n6=By|jRh  
W-f=]eWg  
Initial Statistics: Normal Distribution .Z`R^2MU
 
,]C;sN%~}  
  Trial       Criterion        Change "s-"<&>a(  
      1     0.42804416    -0.11598818 t^-d/yKt0w  
Change in Focus                :      -0.400171 ;<Sd~M4f  
      2     0.54384387    -0.00018847 !.$I["/=  
Change in Focus                :       1.018470 m,28u3@r  
      3     0.44510003    -0.09893230 1#g2A0U,  
Change in Focus                :      -0.601922 X56q-|  
      4     0.18154684    -0.36248550 T.F!+  
Change in Focus                :       0.920681 l9~e". ~'  
      5     0.28665820    -0.25737414 h f)?1z4  
Change in Focus                :       1.253875 CT@ jZtg0  
      6     0.21263372    -0.33139862 yu {d! {6  
Change in Focus                :      -0.903878 X #dmo/L8  
      7     0.40051424    -0.14351809 M7\szv\Zc=  
Change in Focus                :      -1.354815 234p9A@  
      8     0.48754161    -0.05649072 tIi&;tw]  
Change in Focus                :       0.215922 FZQP%]FX  
      9     0.40357468    -0.14045766 iXkF1r]i  
Change in Focus                :       0.281783 S\EyCi+  
     10     0.26315315    -0.28087919 GAzU?a{S  
Change in Focus                :      -1.048393 ^0)g/`H^>  
     11     0.26120585    -0.28282649 L+F@:H6/0  
Change in Focus                :       1.017611 ~NgA  
     12     0.24033815    -0.30369419 y1DL,%j  
Change in Focus                :      -0.109292 5ta `%R_  
     13     0.37164046    -0.17239188 pad*oPH,  
Change in Focus                :      -0.692430 )m+W j  
     14     0.48597489    -0.05805744 ja'T+!k  
Change in Focus                :      -0.662040 NYUL:Tp  
     15     0.21462327    -0.32940907 ;+
_:,_  
Change in Focus                :       1.611296 ~At7 +F[  
     16     0.43378226    -0.11025008 {W`%g^Z|H  
Change in Focus                :      -0.640081 u#fM_>ML  
     17     0.39321881    -0.15081353 MKCsv+   
Change in Focus                :       0.914906 Ny7S  
     18     0.20692530    -0.33710703 /HE
w-M9z  
Change in Focus                :       0.801607 c):/!Q  
     19     0.51374068    -0.03029165 0o4XUW   
Change in Focus                :       0.947293 !,uE]gwLw  
     20     0.38013374    -0.16389860 2qN
t,;DQ  
Change in Focus                :       0.667010 ;d$rdFA_  
EWt[z.`T1  
Number of traceable Monte Carlo files generated: 20 rKc9b<Ir  
bj^5yX;2  
Nominal     0.54403234 \K{ z  
Best        0.54384387    Trial     2 0auYG><=  
Worst       0.18154684    Trial     4 =BeygT^  
Mean        0.35770970 zk+9'r`-D  
Std Dev     0.11156454 ,ng Cv;s  
pF
>i-i  
gg/-k;@ Rf  
Compensator Statistics: :=V[7n])  
Change in back focus: rXq.DvQ  
Minimum            :        -1.354815 J{<X7uB  
Maximum            :         1.611296 3&4(ZH=  
Mean               :         0.161872 7z,C}-q  
Standard Deviation :         0.869664 Oszj$C(jF  
Qljpx?E  
90% >       0.20977951               kH1~k,|\&K  
80% >       0.22748071               /s?`&1v|r  
50% >       0.38667627               3M`M  
20% >       0.46553746               Lb-OsKU  
10% >       0.50064115                #%2rP'He  
Uc>lGo1j  
End of Run. $wa{~'  
hZ,_6mNg  
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 ]N]!o#q}L  

图片:3.JPG

G.B2('  
$HzBD.CF|x  
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 W@IQ^ }E  
?j.,Nw4FC  
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                 mJnIwdW*  
80% >       0.22748071                 #!# l45p6  
50% >       0.38667627                 J8(lIk:e  
20% >       0.46553746                 '<<t]kK[N  
10% >       0.50064115 {P./==^0  
SfyQ$$Z  
最后这个数值是MTF值呢，还是MTF的公差？ G` A4|+W"  
?l )[7LR4  
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？？？   P@B]

 
tNI^@xdim1  
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  : B+`g>h
 
90% >       0.20977951                 ob]w;"  
80% >       0.22748071                 R|(
a@sL  
50% >       0.38667627                 \FaP|28h  
20% >       0.46553746                 ;xTpE2 -~  
10% >       0.50064115 e
0 ecD3  
....... >t+P(*u  

p_4<6{KEt  
h?U O&(  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   \;Weizq5  
Mode                : Sensitivities lOp`m8_=  
Sampling            : 2 |.dRily+  
Nominal Criterion   : 0.54403234 6S#Cl>v  
Test Wavelength     : 0.6328 l[J8!u2Xp  
i6Gu@( 8Q  
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？ ,!9zrYi}  
l^}c!  
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