[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 [
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图片:1.JPG

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然后添加了默认公差分析，基本没变 2(GLc*B>  
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图片:2.jpg

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然后运行分析的结果如下： UYpln[S  
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Analysis of Tolerances $:?=A5ttuo  
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File : E:\光学设计资料\zemax练习\f500.ZMX 2XeNE[  
Title: Y1BxRd?D  
Date : TUE JUN 21 2011 9y)}-TcSpY  
5=!aq\ 5  
Units are Millimeters. sZokiFJ  
All changes are computed using linear differences. 0JhUncx  
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Paraxial Focus compensation only. Tn$| Xa+:s  
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WARNING: Solves should be removed prior to tolerancing. ; d}  
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Mnemonics: 24Htr/lPCT  
TFRN: Tolerance on curvature in fringes. \BSPv]d  
TTHI: Tolerance on thickness. ur k@v  
TSDX: Tolerance on surface decentering in x. 9(BB>o54r  
TSDY: Tolerance on surface decentering in y. IZ]L.0,  
TSTX: Tolerance on surface tilt in x (degrees). %5<t3H"  
TSTY: Tolerance on surface tilt in y (degrees). nm<S#i*  
TIRR: Tolerance on irregularity (fringes). ^X<ytOd5  
TIND: Tolerance on Nd index of refraction. opCQ=G1  
TEDX: Tolerance on element decentering in x. !i=k=l=  
TEDY: Tolerance on element decentering in y. ||4++84{  
TETX: Tolerance on element tilt in x (degrees). Zr;(a;QKs  
TETY: Tolerance on element tilt in y (degrees). cp+eh  
n\YWWW[wf  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. xCm`g{  
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WARNING: Boundary constraints on compensators will be ignored. e#4 iue7U  
Zg!E}B:z  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm
om,=.,|Ld  
Mode                : Sensitivities bJ6v5YA%  
Sampling            : 2 *\[GfTL  
Nominal Criterion   : 0.54403234 B 6,X)  
Test Wavelength     : 0.6328 hfQ
^C6yR  
O[&G6+  
[0n&?<<  
Fields: XY Symmetric Angle in degrees 6z+*
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#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY 1Q9eS&  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 ]b@:?DX8  
%MN>b[z  
Sensitivity Analysis: VW9BQs2w  
o=doL{#  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| LpSd/_^b  
Type                      Value      Criterion        Change          Value      Criterion        Change j'FBt8P'  
Fringe tolerance on surface 1 ?I#zcD)w  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 l@%7] 0!T  
Change in Focus                :      -0.000000                            0.000000 iI%"]- 0@1  
Fringe tolerance on surface 2 {\-IAuM  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230 Q,xKi|$r  
Change in Focus                :       0.000000                            0.000000 3?DM AV  
Fringe tolerance on surface 3 Z9 tjo1X  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 |Ok1
E  
Change in Focus                :      -0.000000                            0.000000 3`m n#RM  
Thickness tolerance on surface 1 \o,`@2H+'  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 las|ougLy  
Change in Focus                :       0.000000                            0.000000 1)wzSEV@  
Thickness tolerance on surface 2 D|!^8jHj  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 2qUC@d<K  
Change in Focus                :       0.000000                           -0.000000 K)t+lJ  
Decenter X tolerance on surfaces 1 through 3 B(dq$+4  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 p[-buB]  
Change in Focus                :       0.000000                            0.000000 D'+kzb@  
Decenter Y tolerance on surfaces 1 through 3 lO0 PZnW9  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 c1p*}T  
Change in Focus                :       0.000000                            0.000000 t5pf4M7  
Tilt X tolerance on surfaces 1 through 3 (degrees) ySwvj
P7f  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 AW:WDNQh8n  
Change in Focus                :       0.000000                            0.000000 {sL(PS.z  
Tilt Y tolerance on surfaces 1 through 3 (degrees) 9l:Bum)9  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 l %{$CmG\  
Change in Focus                :       0.000000                            0.000000 ,~- dZs  
Decenter X tolerance on surface 1 *.9.BD9  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 nr<&j#!L  
Change in Focus                :       0.000000                            0.000000 9:tKRN_D  
Decenter Y tolerance on surface 1 cB9`U4<  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 }x1*4+Y1  
Change in Focus                :       0.000000                            0.000000 ?Y#0Je
 
Tilt X tolerance on surface (degrees) 1 M&iA^Wrs  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 L7tC?F]}SK  
Change in Focus                :       0.000000                            0.000000 s9Aq-N  
Tilt Y tolerance on surface (degrees) 1 +kKfx!  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 g^DPbpWxu  
Change in Focus                :       0.000000                            0.000000 P=V=\T<4_  
Decenter X tolerance on surface 2
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TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 RWi~34r  
Change in Focus                :       0.000000                            0.000000 @OlV6M;qJ  
Decenter Y tolerance on surface 2 2*K _RMr~  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 +[ 9
44n  
Change in Focus                :       0.000000                            0.000000 v/BMzVi  
Tilt X tolerance on surface (degrees) 2 lT3,G#(  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 L{\au5-4  
Change in Focus                :       0.000000                            0.000000 @^$Xy<x  
Tilt Y tolerance on surface (degrees) 2 *a7&v3X  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 S5Q$dAL  
Change in Focus                :       0.000000                            0.000000 tc@([XqH  
Decenter X tolerance on surface 3 T.zUerbO  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 `AA[k  
Change in Focus                :       0.000000                            0.000000 9ci=]C5o3K  
Decenter Y tolerance on surface 3 T&=1IoOg  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 1e>,QX
  
Change in Focus                :       0.000000                            0.000000 'o2
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Tilt X tolerance on surface (degrees) 3 Ncu\;K\N  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 W|@/<K$V  
Change in Focus                :       0.000000                            0.000000 el*C8TWlw  
Tilt Y tolerance on surface (degrees) 3 S/|'ggC  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 +_HPZo  
Change in Focus                :       0.000000                            0.000000  ajayj|h  
Irregularity of surface 1 in fringes .4
"9o%  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 $gN1&K  
Change in Focus                :       0.000000                            0.000000 0FFx  
Irregularity of surface 2 in fringes X'Dg= |  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047  Yq.Cz:>b  
Change in Focus                :       0.000000                            0.000000
>*v^E9Y  
Irregularity of surface 3 in fringes 7 Znr2I  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 vb-L "S?kC  
Change in Focus                :       0.000000                            0.000000 99}n%(V  
Index tolerance on surface 1 j1)HIQE|5f  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 sV/#P<9  
Change in Focus                :       0.000000                            0.000000 5Y 4W:S  
Index tolerance on surface 2 ~B%=g)
w  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 aU3 m{pE  
Change in Focus                :       0.000000                           -0.000000 \5$N> 2kO  
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Worst offenders: Z_Ox'  
Type                      Value      Criterion        Change n_%JXm#\  
TSTY   2            -0.20000000     0.35349910    -0.19053324 m?G}%u  
TSTY   2             0.20000000     0.35349910    -0.19053324 9qe6hF/29  
TSTX   2            -0.20000000     0.35349910    -0.19053324 HPAd@5d(  
TSTX   2             0.20000000     0.35349910    -0.19053324 =~% B}T  
TSTY   1            -0.20000000     0.42678383    -0.11724851 ;6I{7[  
TSTY   1             0.20000000     0.42678383    -0.11724851 >8~+[e  
TSTX   1            -0.20000000     0.42678383    -0.11724851 m-lUgx7  
TSTX   1             0.20000000     0.42678383    -0.11724851 a3L]'E'*#  
TSTY   3            -0.20000000     0.42861670    -0.11541563 "PBUyh-Z  
TSTY   3             0.20000000     0.42861670    -0.11541563 y(B~)T~e@  
l|`%FB^k  
Estimated Performance Changes based upon Root-Sum-Square method: ^IuHc_  
Nominal MTF                 :     0.54403234 \.A~>=
:  
Estimated change            :    -0.36299231 g83!il\  
Estimated MTF               :     0.18104003 iKa}@U  
@4m_\]Wy  
Compensator Statistics: Ep0L51Q  
Change in back focus: &%`IPhbT  
Minimum            :        -0.000000 9)Y]05us  
Maximum            :         0.000000 rp.S4;=Q9  
Mean               :        -0.000000 C:g2E[#  
Standard Deviation :         0.000000 '2a}1?  
^9o;=!D!9  
Monte Carlo Analysis: Zr_{Z@IpU  
Number of trials: 20 ;8;nY6Ie  
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Initial Statistics: Normal Distribution *A`hKx  
-c!{'
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  Trial       Criterion        Change HH3WZ^0>  
      1     0.42804416    -0.11598818 ZGa>^k[:  
Change in Focus                :      -0.400171 O,ZvV3  
      2     0.54384387    -0.00018847 t<9oEjk["  
Change in Focus                :       1.018470 b&A+`d  
      3     0.44510003    -0.09893230 AZxx%6  
Change in Focus                :      -0.601922 0ANqEQX  
      4     0.18154684    -0.36248550 q
[Hxy  
Change in Focus                :       0.920681 8zGe5Dn9  
      5     0.28665820    -0.25737414 ZVJbpn<lo)  
Change in Focus                :       1.253875 "?V4Tl~uu  
      6     0.21263372    -0.33139862 B5u06O  
Change in Focus                :      -0.903878 {IJV(%E  
      7     0.40051424    -0.14351809 7rc^-!k  
Change in Focus                :      -1.354815 )h,+>U@  
      8     0.48754161    -0.05649072 @#1k+tSA,  
Change in Focus                :       0.215922 Rk56H  
      9     0.40357468    -0.14045766 ZrnZ7,!@  
Change in Focus                :       0.281783 cu]2`DF  
     10     0.26315315    -0.28087919 g1L$+xD^  
Change in Focus                :      -1.048393 %xf6U>T  
     11     0.26120585    -0.28282649 XRKL;|cd  
Change in Focus                :       1.017611 s2iR }<  
     12     0.24033815    -0.30369419 qr$=oCqa  
Change in Focus                :      -0.109292 Z:09]r1  
     13     0.37164046    -0.17239188 xj)*K
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Change in Focus                :      -0.692430 cUaLv1:HI  
     14     0.48597489    -0.05805744 ~qLbyzHaB  
Change in Focus                :      -0.662040 vL{~?vq6  
     15     0.21462327    -0.32940907 vY<(3[pp  
Change in Focus                :       1.611296 V{@<Z8sW#  
     16     0.43378226    -0.11025008 Zgt, 'T  
Change in Focus                :      -0.640081 tQbDP!,A*=  
     17     0.39321881    -0.15081353 f GE+DjeA  
Change in Focus                :       0.914906 MFaK=1  
     18     0.20692530    -0.33710703 .t4IR =Z  
Change in Focus                :       0.801607 JSt%L|}Y  
     19     0.51374068    -0.03029165 #tKc!]m  
Change in Focus                :       0.947293 7qV_QZ!.  
     20     0.38013374    -0.16389860 7w_`<b6  
Change in Focus                :       0.667010 y. @7aT5  
3_
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Number of traceable Monte Carlo files generated: 20 Zaf].R  
yJc<;Qx  
Nominal     0.54403234 ++F #Z(p  
Best        0.54384387    Trial     2 gfw,S;  
Worst       0.18154684    Trial     4 n>)CCf@H  
Mean        0.35770970 1`r 4  
Std Dev     0.11156454 '0GCaL*Sd  
^E8&!s  
a9mLPP  
Compensator Statistics: X{P_HCd  
Change in back focus: FF6[qSV  
Minimum            :        -1.354815 rXuhd [!(P  
Maximum            :         1.611296 DGj:qd(  
Mean               :         0.161872 hf^,  
Standard Deviation :         0.869664 Bjq1za  
63QMv[`,  
90% >       0.20977951               ! pR&&uG  
80% >       0.22748071               (Ybc~M)z  
50% >       0.38667627               wAkpk&R  
20% >       0.46553746               kq8:h  
10% >       0.50064115                [94A?pn[z  
}L>}_NV\  
End of Run. tm@&f  
RZ:Yu  
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 d
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图片:3.JPG

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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 n'9Wl'  
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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                 .A<G$ db ?  
80% >       0.22748071                 S[JeW  
50% >       0.38667627                 \@;$xdA$  
20% >       0.46553746                 r*HbglB  
10% >       0.50064115 SK [1h
3d  
Y[)b".K  
最后这个数值是MTF值呢，还是MTF的公差？ _QBN/KE9  
kH~ z07:  
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？？？   @W6:JO  
G2qv)7{l2  
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  : {W+IUvn  
90% >       0.20977951                 RW{y.WhB  
80% >       0.22748071                 (+yH   
50% >       0.38667627                 mT:NC'b<9  
20% >       0.46553746                 GY>G}bfh  
10% >       0.50064115 @C-03`JWuK  
....... clG@]<a`_  

{N3&JL5\"E  
{Qi J-[q  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   Y-UXr8  
Mode                : Sensitivities -MRX@a^1  
Sampling            : 2 NbC
2N)L4  
Nominal Criterion   : 0.54403234 )I#{\^  
Test Wavelength     : 0.6328 qnCjNN  
~NZL~p  
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？ &|j0GP&  
Y)
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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