[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： {_*G"A 9  
% By Ruibin 08-9-25 i~v[3e9y7  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Or?c21un  
=`|BofR  
clear all;clc HH7WMYoKY  
j2IK\~W?-  
% The Frist Step: Define independent parameters 1;<Vr<.  
r=3.25;               %选择开孔半径 7bO>[RQB  
R=4.25;               %定义曲面底部半径 v@GhwL  
d=1;                  %设置透镜前方平板高度 z&9MkbH1  
n=1.4935;             %定义材料折射率 {*hvzS{1d  
dividing_angle=24;    %定义Core与TIR的分界角 ,4'y(X<R  
min_angle=1;          %设置计算精度 M\k[?i  
N=4;                  %设定拟合非球面系数阶数 [kN_b<Pc,  
FGP^rTP)e  
% The Second Step：Caculate induced variable tCO?<QBE  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); .-T P1C  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Zazs".  
for i=1:(num_Core) Z?=o(hkd  
a_Core(i)=(angles_Core(i)*pi/180); UcB&pt&  
k1(i)=cot(a_Core(i)); x"C7NW[$  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 9Xa.%vw>  
end `S-l.zSZ4B  
k1(num_Core)=999;k2(num_Core)=0; Z&iW1  
for i=1:num_TIR Ut'T!RD  
a_TIR(i)=(angles_TIR(i)*pi/180); Hik=(pTu>  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); B/@LE{qUn  
k4(i)=tan(asin(cos(a_TIR(i))/n)); r_Ou\|jU  
end qyVARy  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); )7+z/y+[n  
2(~Zl\  
% The Third Step:Solve functions 5RWqHPw+  
for i=1:num_Core                    %Solve the curve of Core iZ}c[hC'3`  
syms x; H?Sv6W.~  
f1=k1(i)*x; ;P juO  
f2=k2(i)*(x-X0_Core)+Y0_Core; 3J 5,V  
f=f1-f2; DMDtry?1:  
x=double(solve(f));y=k1(i)*x; :tnW ivrwR  
X0_Core=x;Y0_Core=y; xq,ql@7  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 6E1~dK0t  
end ZQKo ]Kdr  
for i=1:num_TIR                      %Solve the curve of TIR T!9AEG  
syms x; l/nBin&YGv  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; rX5"p!z  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); l"`VvW[  
f=f1-f2; 73'AQ")UJ  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; =ca[*0^Z7  
X0_TIR=x;Y0_TIR=y; t@MUNW`Q  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 4<PupJ  
end a]5y CBm  
U"
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% The furth Step:Fitting the curve jz=
V*p}6  
P_Core=polyfit(Px_Core,Py_Core,4); LdO
me[C1  
P_TIR=polyfit(Px_TIR,Py_TIR,4); RkF^V(  
CC3i@  
% The fifth Step:Feedback chief dimensions of the lens and Create it f2o6GC_  
%Feedback dimensions of the whole lens t$t'{*t( T  
result='透镜尺寸如下：' 2TB'HNTFx  
Diameter_of_lens=2*Px_TIR(num_TIR) DQ/rx`BG  
Thickness_of_lens=Py_TIR(num_TIR)+d owA8hGF  
Diameter_of_Core=2*r n=~!x  
Thickness_of_front_pannel=d .L%pWRxA[  
Bottom_thickness=R-r VrfEa d  
Lowest_Core=P_Core(5) EJ<L,QH3  
"m6G;cv  
%Feedback dimensions of Lens part TIR X|!@%wuGC  
result='TIR系数如下：' t$VRNZ`dy  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d h/:LC 7  
Aperture=Px_TIR(num_TIR) l4taD!WD/  
Obstruction=r Zon7G6s9`  
Position=P_TIR(5) -!5l4  
format short e; r|uR!=*|?  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] keD?#yY  
format short; "O$WfpKX  
"'Gq4<&y  
%DDE Connection Ce}m$k  
TP_COMMAND = ddeinit('TracePro','Scheme'); Z{l`X#':  
%Create TIR D'ZUbAh!  
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)))']; lg )xQV  
ddeexec(TP_COMMAND,cmd); 'CJ_&HR  
cmd =['(entity:move TIR 0 0 -2.3712)']; dZ*&3.#D5  
ddeexec(TP_COMMAND,cmd); ALO/{:l(  
cmd =['(property:apply-name TIR "TIR")']; <v_Wh@m  
ddeexec(TP_COMMAND,cmd); *>[q*SF  
SCMvq?9  
%Feedback dimensions of Lens part TIR !UPB4I  
result='Core系数如下：' k^;/@:  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d :?z@T[-  
Aperture=r dG~U3
\!  
Obstruction='None' l]t^MEoc8  
Position=P_Core(5) |=VWE>g  
format short e; 2{l|<'  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)]
!h
}Vz  
format short; @J6r;4|&  
%Create Core =
2rdbq6R  
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)))']; )`Qr=DIsW  
ddeexec(TP_COMMAND,cmd); #fx"tx6  
cmd =['(entity:move Core 0 0 5.9493)']; Ywt9^M|z;  
ddeexec(TP_COMMAND,cmd); ?kV_!2U)'K  
cmd =['(property:apply-name Core "Core")']; g%^/^<ei  
ddeexec(TP_COMMAND,cmd); LB$0'dZU  
&"A:_5AU  
%Create Lens n,-*$~{  
cmd =['(define Unite (bool:unite TIR Core))']; x+%> 2qgj"  
ddeexec(TP_COMMAND,cmd); OaoHN& "  
cmd =['(define block (insert:block 100 100 100))']; wpQp1){%Q  
ddeexec(TP_COMMAND,cmd); >bhF{*t#;y  
cmd =['(entity:move block 0 0 -50)']; &ID
T[J  
ddeexec(TP_COMMAND,cmd); {A ,w%  
cmd =['(define Lens (bool:subtract Unite block))']; &E!m(|6?+  
ddeexec(TP_COMMAND,cmd); 5=9Eb  
cmd =['(property:apply-name Lens "Lens")']; 5__B M5|  
ddeexec(TP_COMMAND,cmd); m`xYd  
HKOSS-`5  
%Close the DDE connection 6Qz=g t%I=  
ddeterm(TP_COMMAND); xa?auv!  

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