[求助]matlab画准直透镜曲线？ [复制链接]

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算出来也就自然画出来了啊

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看看e:matlab画准直透镜曲线？

程序如下： *e-A6Sh  
% By Ruibin 08-9-25 _>9.v%5cs(  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. s
O.`x*  
G.(mp<-  
clear all;clc /\H>y  
QF&W`c  
% The Frist Step: Define independent parameters ^NX"sM0g  
r=3.25;               %选择开孔半径 {W]=~*w  
R=4.25;               %定义曲面底部半径 u%/goxA  
d=1;                  %设置透镜前方平板高度 cZT({uYGL  
n=1.4935;             %定义材料折射率 zOGU8Wg  
dividing_angle=24;    %定义Core与TIR的分界角 DSt]{fl`P  
min_angle=1;          %设置计算精度 7{I h_.#  
N=4;                  %设定拟合非球面系数阶数 Sr%;fq  
NMww>80  
% The Second Step：Caculate induced variable sgO'wXcoP  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); uPRQU+  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); jLpc Zb,  
for i=1:(num_Core) $6CwkM:  
a_Core(i)=(angles_Core(i)*pi/180); z,VD=Hnz  
k1(i)=cot(a_Core(i)); ^D<r  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); XK: 9r{r{  
end Z7RiPSdxp  
k1(num_Core)=999;k2(num_Core)=0; HW7; {QMg
 
for i=1:num_TIR 5cEcTJL[C  
a_TIR(i)=(angles_TIR(i)*pi/180); MW PvR|Q  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); JB>b`W9  
k4(i)=tan(asin(cos(a_TIR(i))/n)); +e-G,%>9  
end ZeEWp3vW  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); N
D5`Q"k   
%s&ChM?8F  
% The Third Step:Solve functions H6&J;yT}  
for i=1:num_Core                    %Solve the curve of Core :OW;?{ ~j  
syms x; kWNV%RlSx  
f1=k1(i)*x; <D::9c j  
f2=k2(i)*(x-X0_Core)+Y0_Core; /__PSK  
f=f1-f2; P1NJ
^rX  
x=double(solve(f));y=k1(i)*x; hAm`NJMSO  
X0_Core=x;Y0_Core=y; 1ylk4@`  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; a\%xB >LX  
end r YF #^  
for i=1:num_TIR                      %Solve the curve of TIR F*.g;So  
syms x; <ERB.d!  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; +Y V|ij  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); EZYBeqv  
f=f1-f2; Q6X
RsFc  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; +n7?S~R$  
X0_TIR=x;Y0_TIR=y; NuYkz"O]  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; jZ%TJ0(H  
end rYp3(k3  
tw(JZDc  
% The furth Step:Fitting the curve qVdwfT{1J  
P_Core=polyfit(Px_Core,Py_Core,4); meCC?YAB  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 7#~+@'Oe  
YOrrkbJ(  
% The fifth Step:Feedback chief dimensions of the lens and Create it (D 9Su^:1  
%Feedback dimensions of the whole lens jr)7kP@  
result='透镜尺寸如下：' r)T:7zy  
Diameter_of_lens=2*Px_TIR(num_TIR) >+mD$:L  
Thickness_of_lens=Py_TIR(num_TIR)+d XTd3|Pm  
Diameter_of_Core=2*r o=RM-tR`v  
Thickness_of_front_pannel=d m] W5+  
Bottom_thickness=R-r E( h<$w8s  
Lowest_Core=P_Core(5) ZlHDi!T  
XK"
-'  
%Feedback dimensions of Lens part TIR 4Td{;Y="yF  
result='TIR系数如下：' kvh&d|  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d /1 RAAa  
Aperture=Px_TIR(num_TIR) KE1ao9H8wR  
Obstruction=r Y $u9%0q|?  
Position=P_TIR(5) St<mDTi  
format short e; 87WBM;$&s  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] >I<r)w]  
format short; tV9LD>3  
Z--@.IYoJ  
%DDE Connection }@+NN ?P  
TP_COMMAND = ddeinit('TracePro','Scheme'); |8bq>01~  
%Create TIR ~Xlrvb}LP  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; j&UMjI9[  
ddeexec(TP_COMMAND,cmd); [I:KpAd/  
cmd =['(entity:move TIR 0 0 -2.3712)']; }dxDtqb  
ddeexec(TP_COMMAND,cmd); [Px'\nVf  
cmd =['(property:apply-name TIR "TIR")']; O,<IGO  
ddeexec(TP_COMMAND,cmd); ZvGgmLN  
j,d*?'X  
%Feedback dimensions of Lens part TIR
%Rh;=p`  
result='Core系数如下：' Gd+ET  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d /j"sS2$U  
Aperture=r x"4} isp<  
Obstruction='None' ~Z ~v  
Position=P_Core(5) s!+"yK  
format short e; Y:ldR  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 7DKz;o  
format short; CU:o*;jP  
%Create Core h7X_S4p/Mg  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 0e[d=)XG  
ddeexec(TP_COMMAND,cmd); 93IFcmO.H@  
cmd =['(entity:move Core 0 0 5.9493)']; \tyg(srw0  
ddeexec(TP_COMMAND,cmd); *[eL~oN.c  
cmd =['(property:apply-name Core "Core")']; O9(r{Vu7u  
ddeexec(TP_COMMAND,cmd); ki;UY~  
"&Qctk`<P  
%Create Lens -S%x wJKM  
cmd =['(define Unite (bool:unite TIR Core))']; qpJ{2Q  
ddeexec(TP_COMMAND,cmd); pbHsR^  
cmd =['(define block (insert:block 100 100 100))']; ]v G{kAnH  
ddeexec(TP_COMMAND,cmd); Q>qFM9Z  
cmd =['(entity:move block 0 0 -50)']; sP'0Sl~NU  
ddeexec(TP_COMMAND,cmd); x\s,= n3z  
cmd =['(define Lens (bool:subtract Unite block))']; 2}vg U$a  
ddeexec(TP_COMMAND,cmd); @OV-KT[>  
cmd =['(property:apply-name Lens "Lens")']; utlpY1#q/  
ddeexec(TP_COMMAND,cmd); w>xV  
gLE7Edcp6V  
%Close the DDE connection he+#Q6  
ddeterm(TP_COMMAND); =\, qP  

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