[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 ^+P.f[  
;W?#l$R  

图片:1.JPG

{^dq7!  
f7_(C0d  
然后添加了默认公差分析，基本没变 h vYRAQR:  
?kO
.>o  

图片:2.jpg

4^W!,@W  
^!\1q<@n  
然后运行分析的结果如下： 0/su`  
J 8%gC  
Analysis of Tolerances x2B8G;6u  
PGP#$JC  
File : E:\光学设计资料\zemax练习\f500.ZMX 12Oa_6<\0;  
Title: \V$qAfP)  
Date : TUE JUN 21 2011 n2mO-ZXud  
'.bf88D  
Units are Millimeters. s:tX3X  
All changes are computed using linear differences. wo0j/4o  
EQ$k^Y8
"  
Paraxial Focus compensation only. Ok_}d&A  
3xy2Z
Yw  
WARNING: Solves should be removed prior to tolerancing. +F)-n2Bi  
|HmY`w6*z  
Mnemonics: VgNB^w  
TFRN: Tolerance on curvature in fringes. Ar!0GwE+  
TTHI: Tolerance on thickness. 'SFAJ  
TSDX: Tolerance on surface decentering in x. YCDH0M  
TSDY: Tolerance on surface decentering in y. FLWVI4*  
TSTX: Tolerance on surface tilt in x (degrees). c~vhkRA  
TSTY: Tolerance on surface tilt in y (degrees). T<B}Z11R  
TIRR: Tolerance on irregularity (fringes). %aNm j)L  
TIND: Tolerance on Nd index of refraction. eNd&
47lJ  
TEDX: Tolerance on element decentering in x. *tUOTA 3L  
TEDY: Tolerance on element decentering in y. f'=u`*(b7  
TETX: Tolerance on element tilt in x (degrees). %LrOGr  
TETY: Tolerance on element tilt in y (degrees). O t)}:oG  
Y%?S:&GH  
WARNING: RAY AIMING IS OFF. Very loose tolerances may not be computed accurately. qofAA!3z  
"-=fi 'D  
WARNING: Boundary constraints on compensators will be ignored. }MQ:n8  
=de'Yy:\-  
Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm =@!t/LR7kg  
Mode                : Sensitivities _Tj&gyS  
Sampling            : 2 G!6b )4L-  
Nominal Criterion   : 0.54403234 6nL^"3@S!  
Test Wavelength     : 0.6328 8* A%k1+  
>/A]C$?3  
]CzK{-
W  
Fields: XY Symmetric Angle in degrees .P1WY  
#      X-Field      Y-Field       Weight    VDX    VDY    VCX    VCY D6L+mTN  
1   0.000E+000   0.000E+000   1.000E+000  0.000  0.000  0.000  0.000 i47LX;}  
,m{R m0  
Sensitivity Analysis: "Wj{+|f  
E]' f&0s  
                 |----------------- Minimum ----------------| |----------------- Maximum ----------------| _
f^6F<!  
Type                      Value      Criterion        Change          Value      Criterion        Change %6 *c40  
Fringe tolerance on surface 1 UH MJ(.Wa-  
TFRN   1            -1.00000000     0.54257256    -0.00145977     1.00000000     0.54548607     0.00145374 ?0; 2ct  
Change in Focus                :      -0.000000                            0.000000 ?h[HC"V/2  
Fringe tolerance on surface 2 a^%)6E.[,  
TFRN   2            -1.00000000     0.54177471    -0.00225762     1.00000000     0.54627463     0.00224230  WwB_L.{  
Change in Focus                :       0.000000                            0.000000 _Ay^v#a  
Fringe tolerance on surface 3 Y!L-5|G  
TFRN   3            -1.00000000     0.54779866     0.00376632     1.00000000     0.54022572    -0.00380662 osXEzr(  
Change in Focus                :      -0.000000                            0.000000 f8;?WSGyD2  
Thickness tolerance on surface 1 PZ|I3z  
TTHI   1   3        -0.20000000     0.54321462    -0.00081772     0.20000000     0.54484759     0.00081525 LTe ({6l0  
Change in Focus                :       0.000000                            0.000000 t$$YiO  
Thickness tolerance on surface 2 T_D3WHp  
TTHI   2   3        -0.20000000     0.54478712     0.00075478     0.20000000     0.54327558    -0.00075675 r]!#v{#.  
Change in Focus                :       0.000000                           -0.000000 *:n7B\.  
Decenter X tolerance on surfaces 1 through 3 Lng. X8D  
TEDX   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005
94w)Yln  
Change in Focus                :       0.000000                            0.000000 }.A]=Ew  
Decenter Y tolerance on surfaces 1 through 3 M G$+
Blw>  
TEDY   1   3        -0.20000000     0.54401464   -1.7700E-005     0.20000000     0.54401464   -1.7700E-005 'V?FeWp  
Change in Focus                :       0.000000                            0.000000 0OM^,5%8  
Tilt X tolerance on surfaces 1 through 3 (degrees) WK6,K92  
TETX   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 c]uieig0~  
Change in Focus                :       0.000000                            0.000000 ZPH_s^  
Tilt Y tolerance on surfaces 1 through 3 (degrees) ;O}%SCF7  
TETY   1   3        -0.20000000     0.54897548     0.00494314     0.20000000     0.54897548     0.00494314 W_}j~[&  
Change in Focus                :       0.000000                            0.000000 W4
o8]&A  
Decenter X tolerance on surface 1 K%dQ;C*?  
TSDX   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 gkd4)\9  
Change in Focus                :       0.000000                            0.000000
~3.*b%,  
Decenter Y tolerance on surface 1 RvAgv[8  
TSDY   1            -0.20000000     0.53999563    -0.00403671     0.20000000     0.53999563    -0.00403671 ,1{qZ(l1  
Change in Focus                :       0.000000                            0.000000 Q` &#u#  
Tilt X tolerance on surface (degrees) 1 4;AF\De  
TSTX   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 J3mLjYy  
Change in Focus                :       0.000000                            0.000000 RxqNgun@  
Tilt Y tolerance on surface (degrees) 1 v7"VH90`!  
TSTY   1            -0.20000000     0.42678383    -0.11724851     0.20000000     0.42678383    -0.11724851 /Z6lnm7wJ  
Change in Focus                :       0.000000                            0.000000 7GO9z<m)  
Decenter X tolerance on surface 2 ;y,g%uqE  
TSDX   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 bJIYe ld  
Change in Focus                :       0.000000                            0.000000 ~pZ0B#K J  
Decenter Y tolerance on surface 2 ,,uhEoH  
TSDY   2            -0.20000000     0.51705427    -0.02697807     0.20000000     0.51705427    -0.02697807 '6M
6e(  
Change in Focus                :       0.000000                            0.000000 Nud =K'P=  
Tilt X tolerance on surface (degrees) 2 c0zcR)=mL  
TSTX   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 g)#?$OhP"  
Change in Focus                :       0.000000                            0.000000 rC!O}(4t%$  
Tilt Y tolerance on surface (degrees) 2 ym|7i9  
TSTY   2            -0.20000000     0.35349910    -0.19053324     0.20000000     0.35349910    -0.19053324 !An?<Sv$  
Change in Focus                :       0.000000                            0.000000 6-|?ya  
Decenter X tolerance on surface 3 _]zX W  
TSDX   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 \1Y|$:T/  
Change in Focus                :       0.000000                            0.000000 3WP\
MM  
Decenter Y tolerance on surface 3 7n#-3#_mG  
TSDY   3            -0.20000000     0.53419039    -0.00984195     0.20000000     0.53419039    -0.00984195 \oWpyT _  
Change in Focus                :       0.000000                            0.000000 !K(  
Tilt X tolerance on surface (degrees) 3 >UCg3uFj  
TSTX   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 ?XY'<]o E  
Change in Focus                :       0.000000                            0.000000 Tv"T+!Z  
Tilt Y tolerance on surface (degrees) 3
i(|ug_^  
TSTY   3            -0.20000000     0.42861670    -0.11541563     0.20000000     0.42861670    -0.11541563 x6,ozun  
Change in Focus                :       0.000000                            0.000000 cjN)3L{  
Irregularity of surface 1 in fringes +%XByY5  
TIRR   1            -0.20000000     0.50973587    -0.03429647     0.20000000     0.57333868     0.02930634 p/(Z2N"  
Change in Focus                :       0.000000                            0.000000 )zxb]Pg+  
Irregularity of surface 2 in fringes pL,XHR@Iv  
TIRR   2            -0.20000000     0.53400904    -0.01002330     0.20000000     0.55360281     0.00957047  ?^Aj\z>  
Change in Focus                :       0.000000                            0.000000 <q=Zg7zB  
Irregularity of surface 3 in fringes f,yl'2{  
TIRR   3            -0.20000000     0.58078982     0.03675748     0.20000000     0.49904394    -0.04498840 , ~ 1+MZ=  
Change in Focus                :       0.000000                            0.000000 Led\S;pl  
Index tolerance on surface 1 UE^o}Eyg  
TIND   1            -0.00100000     0.52606778    -0.01796456     0.00100000     0.56121811     0.01718578 inU5eronuj  
Change in Focus                :       0.000000                            0.000000 vS
HPN|*  
Index tolerance on surface 2 [p6:uNo  
TIND   2            -0.00100000     0.55639086     0.01235852     0.00100000     0.53126361    -0.01276872 {`D]%e
RO  
Change in Focus                :       0.000000                           -0.000000 =;-C;gn:w  
EK4%4<"  
Worst offenders: J+t51B(a  
Type                      Value      Criterion        Change uMDd Zj&  
TSTY   2            -0.20000000     0.35349910    -0.19053324 rhkKK_  
TSTY   2             0.20000000     0.35349910    -0.19053324 A{s-
g>s  
TSTX   2            -0.20000000     0.35349910    -0.19053324 Pp }Z"  
TSTX   2             0.20000000     0.35349910    -0.19053324 r{.pXf  
TSTY   1            -0.20000000     0.42678383    -0.11724851 +r!NR?^m  
TSTY   1             0.20000000     0.42678383    -0.11724851 h|]cZMGo  
TSTX   1            -0.20000000     0.42678383    -0.11724851 26/<\{q~  
TSTX   1             0.20000000     0.42678383    -0.11724851 k{mBG9[z  
TSTY   3            -0.20000000     0.42861670    -0.11541563 ML>M:Ik+  
TSTY   3             0.20000000     0.42861670    -0.11541563 ht%qjE  
b[:,p?:@  
Estimated Performance Changes based upon Root-Sum-Square method: iz=cjmV?  
Nominal MTF                 :     0.54403234 (W h)Ov"  
Estimated change            :    -0.36299231 fJ8>nOh  
Estimated MTF               :     0.18104003 _]5UuIMl  
)f$4:Pq  
Compensator Statistics: b|-)p+ba  
Change in back focus: `T*Y1@FV  
Minimum            :        -0.000000 [RKk-8I  
Maximum            :         0.000000 pG"wQ  
Mean               :        -0.000000 .hH_1Mo
8  
Standard Deviation :         0.000000 MDytA0M  
XB!qPh.  
Monte Carlo Analysis: c/+6M  
Number of trials: 20 DU6j0lz  
{v
0r'+`  
Initial Statistics: Normal Distribution 5,,'hAq_  
/4(HVua  
  Trial       Criterion        Change bhpaC8|  
      1     0.42804416    -0.11598818 /x@aAJ|
 
Change in Focus                :      -0.400171 d_we?DZ|  
      2     0.54384387    -0.00018847 C:No ^nH>  
Change in Focus                :       1.018470 K W&muD  
      3     0.44510003    -0.09893230 iT&4;W=72~  
Change in Focus                :      -0.601922 s3sRMB2  
      4     0.18154684    -0.36248550 )&T 5/+  
Change in Focus                :       0.920681 Jw5@#
j  
      5     0.28665820    -0.25737414 %P~;>4i,  
Change in Focus                :       1.253875
v_Vw!u  
      6     0.21263372    -0.33139862 '1DY5`i{  
Change in Focus                :      -0.903878 jywS<9c@  
      7     0.40051424    -0.14351809 w#)u+^-  
Change in Focus                :      -1.354815 U+'zz#0qN  
      8     0.48754161    -0.05649072 }< '6FxR  
Change in Focus                :       0.215922 sxr,]@  
      9     0.40357468    -0.14045766 lF64g  
Change in Focus                :       0.281783 &iWTf K7  
     10     0.26315315    -0.28087919 `^/8dIya  
Change in Focus                :      -1.048393 .'o=J`|  
     11     0.26120585    -0.28282649 !4Zy$69R  
Change in Focus                :       1.017611 - c>Vw&1  
     12     0.24033815    -0.30369419 +pgHCzwJE  
Change in Focus                :      -0.109292 h._eP.W`  
     13     0.37164046    -0.17239188 dBA&NW07  
Change in Focus                :      -0.692430 iPl,KjGk  
     14     0.48597489    -0.05805744 I`oJ
OLV  
Change in Focus                :      -0.662040 9IXy96]]6  
     15     0.21462327    -0.32940907 ~zfF*A  
Change in Focus                :       1.611296 A-L1vu;  
     16     0.43378226    -0.11025008 0p[k7W u  
Change in Focus                :      -0.640081 4G:~|N.{p  
     17     0.39321881    -0.15081353 3r#['UmT  
Change in Focus                :       0.914906 ! (lF#MG}  
     18     0.20692530    -0.33710703 6p  }a!  
Change in Focus                :       0.801607 cZ)JvU9]  
     19     0.51374068    -0.03029165 ?ch?q~e)  
Change in Focus                :       0.947293 dH5*%  
     20     0.38013374    -0.16389860 vTFG*\Cq  
Change in Focus                :       0.667010 NsYEBT7f  
s@$0!8sxm  
Number of traceable Monte Carlo files generated: 20 :vIJ>
6lIR  
PeIi@0vA  
Nominal     0.54403234 ;bG?R0a  
Best        0.54384387    Trial     2 XK\n
OHLS  
Worst       0.18154684    Trial     4 3|w$gG;Y  
Mean        0.35770970 9=$pV==  
Std Dev     0.11156454 5cf?u3r!qJ  
[xY-=-T*4  
|WS@q'
  
Compensator Statistics: Q?T+^J   
Change in back focus: [Y!HQ9^LEp  
Minimum            :        -1.354815 l"JM%LV  
Maximum            :         1.611296 E4o{Z+C  
Mean               :         0.161872 qbSI98rw  
Standard Deviation :         0.869664 U"|1@W#  
DjaXJ?'  
90% >       0.20977951               Y?1T XsvF  
80% >       0.22748071               esZhX)dS  
50% >       0.38667627               E> pr})^w  
20% >       0.46553746               v+xrnz  
10% >       0.50064115                `D=OEc  
5"40{3  
End of Run. .9Oj+:n  
\C~6 '  
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 &+02Sn3A  

图片:3.JPG

2HVqJib4Yn  
/L2ZI1v  
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 7;@YR
 
0sSBwG  
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                 |9 *$6Y  
80% >       0.22748071                 Q$'\_zV  
50% >       0.38667627                 h$~$a;2cR  
20% >       0.46553746                 J+0 ?e9  
10% >       0.50064115 >~_>.R+{  
uU$/4{  
最后这个数值是MTF值呢，还是MTF的公差？ |1!|SarM{B  
wU]8hkl?  
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？？？   nf_(_O=  
+LWgby4q  
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  : E"H>[E  
90% >       0.20977951                 bzMs\rj\  
80% >       0.22748071                 q/tC/V%@(  
50% >       0.38667627                 }xzb
g  
20% >       0.46553746                 p@xK`=Urb  
10% >       0.50064115 Tq.%_/@M<  
....... PmE2T\{s!  

Sh5SOYLz  
Op<|Oz$Q|l  
这些数值都是MTF值

Criterion           : Geometric MTF average S&T at 30.0000 cycles per mm   IC7S +v  
Mode                : Sensitivities u>-!5=D8  
Sampling            : 2 q^w3n2
 
Nominal Criterion   : 0.54403234 *[_>d.i  
Test Wavelength     : 0.6328 Z)zmT%t  
^t\AB)(8  
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？ uB:utg  
~?{"H<  
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