[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

谢谢哈~

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看看e:matlab画准直透镜曲线？

程序如下： 4Ww.CkRG  
% By Ruibin 08-9-25 QV_e6r1t#m  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 4^>FN"Ve`B  
hp<NVST  
clear all;clc aplOo[  
{YT@$K]w,  
% The Frist Step: Define independent parameters Lfj]Y~*z  
r=3.25;               %选择开孔半径 fcLVE  
R=4.25;               %定义曲面底部半径 8h=Rfa9  
d=1;                  %设置透镜前方平板高度 uLK4tQ  
n=1.4935;             %定义材料折射率 rf[w&~R  
dividing_angle=24;    %定义Core与TIR的分界角 tXu_o6]  
min_angle=1;          %设置计算精度 oDvE0"Sz  
N=4;                  %设定拟合非球面系数阶数 NR@n%p  
gbclk~kX  
% The Second Step：Caculate induced variable `VzjXJw  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 7z@Jw  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 8`?vWJS  
for i=1:(num_Core) uz8Y)b  
a_Core(i)=(angles_Core(i)*pi/180); ]>%M%B  
k1(i)=cot(a_Core(i)); g5,Bj
  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); zK@DQ5  
end m@2;9  
k1(num_Core)=999;k2(num_Core)=0; ^7zXi xp  
for i=1:num_TIR D)my@W0,  
a_TIR(i)=(angles_TIR(i)*pi/180); ns/L./z  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); OY?x'h  
k4(i)=tan(asin(cos(a_TIR(i))/n)); zwEZ?m!  
end nsM :\t+ p  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 8E:d!?<^&I  
F\"`^`(O  
% The Third Step:Solve functions Ce%fz~*b  
for i=1:num_Core                    %Solve the curve of Core 'GJ'Vli  
syms x; 4#c-?mh_  
f1=k1(i)*x; g/v"E+  
f2=k2(i)*(x-X0_Core)+Y0_Core; S.$/uDwo  
f=f1-f2; #rs]5tx([  
x=double(solve(f));y=k1(i)*x; @$bEY#*C  
X0_Core=x;Y0_Core=y; c|,6(4j>$  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; `r$c53|<u  
end 1P17]j2C  
for i=1:num_TIR                      %Solve the curve of TIR dRXEF6G  
syms x; /ivA[LSS  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ja_.{Zv  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); L=1~)>mP  
f=f1-f2; JPq2C\Ka  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; q0a8=o"|  
X0_TIR=x;Y0_TIR=y; $QB~ x{v@n  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; o8A1cb4<T  
end Qv`Lc]'  
&P,z$H{o@  
% The furth Step:Fitting the curve 5?{ytNCY  
P_Core=polyfit(Px_Core,Py_Core,4); =bwuLno>  
P_TIR=polyfit(Px_TIR,Py_TIR,4); bWe_<'N  
/`b(} m  
% The fifth Step:Feedback chief dimensions of the lens and Create it f'>270pH  
%Feedback dimensions of the whole lens Pgp`g.$<  
result='透镜尺寸如下：' >Y\$9W=t  
Diameter_of_lens=2*Px_TIR(num_TIR) pm 4"Q!K  
Thickness_of_lens=Py_TIR(num_TIR)+d 2[;4D/`*  
Diameter_of_Core=2*r zx7g5
;J  
Thickness_of_front_pannel=d 9jC>OZ0s  
Bottom_thickness=R-r z|5Sy.H>  
Lowest_Core=P_Core(5) A/%
+AH(  
>2%*(nL  
%Feedback dimensions of Lens part TIR
6L)]nE0^  
result='TIR系数如下：' Up/s)8$.  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d F^mMyK  
Aperture=Px_TIR(num_TIR) k-`5TmW  
Obstruction=r hj_%'kk-A  
Position=P_TIR(5) wj$J}F  
format short e; IB sQaxt.  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] *NEA(9  
format short; \`!M5FJ  
S=R}#  
%DDE Connection ox2?d<dC6  
TP_COMMAND = ddeinit('TracePro','Scheme'); =%\y E0#  
%Create TIR  >>n
t3q  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; "")I1iO g  
ddeexec(TP_COMMAND,cmd); yl#(jb[?1  
cmd =['(entity:move TIR 0 0 -2.3712)']; ]sbj8  
ddeexec(TP_COMMAND,cmd); \en}8r9cy  
cmd =['(property:apply-name TIR "TIR")']; g3`:d)|  
ddeexec(TP_COMMAND,cmd);
@o g&l;  
6u'+#nm  
%Feedback dimensions of Lens part TIR fF"\$Ny  
result='Core系数如下：' bc{ {a  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Y5Ub[o  
Aperture=r 9~En;e  
Obstruction='None' .YT&V  
Position=P_Core(5) )0Lno|l  
format short e; z TM1 e  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] %nmD>QCe  
format short; Y@+e)p{  
%Create Core w[A$bqz  
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)))']; [ ;$(;  
ddeexec(TP_COMMAND,cmd); b&i0)/;  
cmd =['(entity:move Core 0 0 5.9493)']; 0rjH`H]M  
ddeexec(TP_COMMAND,cmd); !='?+Ysxs  
cmd =['(property:apply-name Core "Core")']; |K H&,  
ddeexec(TP_COMMAND,cmd); wTL&m+xr  
%pR:.u|  
%Create Lens _"Bh 3 7  
cmd =['(define Unite (bool:unite TIR Core))']; Q|O! cEW/  
ddeexec(TP_COMMAND,cmd); y7s:Buyc  
cmd =['(define block (insert:block 100 100 100))']; 4]VoIUIuN  
ddeexec(TP_COMMAND,cmd); &6yh4-(7  
cmd =['(entity:move block 0 0 -50)']; 3V,$FS]  
ddeexec(TP_COMMAND,cmd); ?0U.1N  
cmd =['(define Lens (bool:subtract Unite block))']; t81}jD  
ddeexec(TP_COMMAND,cmd); R43yr+p  
cmd =['(property:apply-name Lens "Lens")']; iEtnwSt  
ddeexec(TP_COMMAND,cmd); EEU)eltI
 
?3x7_=4t@  
%Close the DDE connection I1IuvH6  
ddeterm(TP_COMMAND); m~LB0u$ac  

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