[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： LAwl9YnG:  
% By Ruibin 08-9-25 5b9>a5j1;  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 'J`%[,@V  
kE
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clear all;clc &\0`\#R  
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% The Frist Step: Define independent parameters y^oSVj  
r=3.25;               %选择开孔半径 rtz%(4aS  
R=4.25;               %定义曲面底部半径 <eq93  
d=1;                  %设置透镜前方平板高度 g[P8  
n=1.4935;             %定义材料折射率 :hp=>^$Y  
dividing_angle=24;    %定义Core与TIR的分界角 hD>O LoO  
min_angle=1;          %设置计算精度 U9KnW]O%"  
N=4;                  %设定拟合非球面系数阶数 5"[Qs|VjA6  
Z=Oo%lM6B  
% The Second Step：Caculate induced variable 46dh@&U  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Z;_WU  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); \DE`tkV8  
for i=1:(num_Core) b7/1]  
a_Core(i)=(angles_Core(i)*pi/180); $siiG|)C1  
k1(i)=cot(a_Core(i)); g=;c*{  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); G!54 e  
end }cll? 2  
k1(num_Core)=999;k2(num_Core)=0; $ #C$V>  
for i=1:num_TIR H5Rn.n(|  
a_TIR(i)=(angles_TIR(i)*pi/180); X}yEMe{T  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ?.:C+*+  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 3`&2-  
end 7 3k3(r
Z  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); _AQ :<0/#  
h!f7/)|[o  
% The Third Step:Solve functions :_tsS)Q2m  
for i=1:num_Core                    %Solve the curve of Core j0k"iv  
syms x; e/WR\B'1  
f1=k1(i)*x; "YGs<)S  
f2=k2(i)*(x-X0_Core)+Y0_Core; *N$#cz  
f=f1-f2; ?EeHeN_  
x=double(solve(f));y=k1(i)*x; Y>+\:O  
X0_Core=x;Y0_Core=y; )#r]x1[Kn  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; YXH9Q@Gn  
end [KR`%fD0  
for i=1:num_TIR                      %Solve the curve of TIR gJ>?<F;  
syms x; :<s)QD  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; -\j}le6;c  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ">kfX1LT  
f=f1-f2; er}/~@JJ  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; }abM:O "Y  
X0_TIR=x;Y0_TIR=y; ~?dPF;.6_  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; xv9Z~JwH  
end p~28?lYv  
"j9,3yJT  
% The furth Step:Fitting the curve OFCOMM  
P_Core=polyfit(Px_Core,Py_Core,4); Bya!pzbpr  
P_TIR=polyfit(Px_TIR,Py_TIR,4); '?_;s9)  
i7})V
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% The fifth Step:Feedback chief dimensions of the lens and Create it rZZueYuXO  
%Feedback dimensions of the whole lens g!<@6\RB  
result='透镜尺寸如下：' LI?rz<H!D  
Diameter_of_lens=2*Px_TIR(num_TIR) {3C~cK{  
Thickness_of_lens=Py_TIR(num_TIR)+d g^1M]1.f  
Diameter_of_Core=2*r x9 <cT'  
Thickness_of_front_pannel=d ~xu<xy@E  
Bottom_thickness=R-r VZJs@qx:Z  
Lowest_Core=P_Core(5) 8|?$KLz?F>  
zHr1FxD  
%Feedback dimensions of Lens part TIR l.lXto.6)  
result='TIR系数如下：' `w]=xe  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d (M6B$:  
Aperture=Px_TIR(num_TIR) 0W9,uC2:N  
Obstruction=r uU6+cDp  
Position=P_TIR(5) S(Xab_DT)H  
format short e; Jk|c!
,!  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] $
\$5::}r  
format short; |qJQWmJO&U  
N>7INK  
%DDE Connection [a
5L WW  
TP_COMMAND = ddeinit('TracePro','Scheme'); Xf9<kbRw/  
%Create TIR d)(61  
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 j-Q8  
ddeexec(TP_COMMAND,cmd); zMKW@  
cmd =['(entity:move TIR 0 0 -2.3712)']; Tul_/`An  
ddeexec(TP_COMMAND,cmd); YQiTx)_  
cmd =['(property:apply-name TIR "TIR")']; f5Zx:g  
ddeexec(TP_COMMAND,cmd); Z6X?M&-Lz  
Nj qUUkc  
%Feedback dimensions of Lens part TIR v'S}&zmF]  
result='Core系数如下：' t*82^KDU  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d wnP#.[,V  
Aperture=r 93[c^sc9*a  
Obstruction='None' "MKgU[t  
Position=P_Core(5) +o!".Hp  
format short e; ;4Y@xS2M  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] g` 6Xrf  
format short; ;c_X ^"d  
%Create Core ?z171X0  
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)))']; <u*~RYA2  
ddeexec(TP_COMMAND,cmd);
V(A6>0s$|  
cmd =['(entity:move Core 0 0 5.9493)']; D&/(Avx.  
ddeexec(TP_COMMAND,cmd); EMmNlj6  
cmd =['(property:apply-name Core "Core")']; *n N;!*J  
ddeexec(TP_COMMAND,cmd); UC;_}>  
UBrYN'QRNt  
%Create Lens +%=Ao6/#  
cmd =['(define Unite (bool:unite TIR Core))']; }?^5\otu  
ddeexec(TP_COMMAND,cmd); $[6:KV  
cmd =['(define block (insert:block 100 100 100))']; h2zuPgz,  
ddeexec(TP_COMMAND,cmd); +T+f``RcK  
cmd =['(entity:move block 0 0 -50)']; $xyG0Q.  
ddeexec(TP_COMMAND,cmd); D!ToCVos  
cmd =['(define Lens (bool:subtract Unite block))']; {%'(IJ|5z  
ddeexec(TP_COMMAND,cmd); _0 USe  
cmd =['(property:apply-name Lens "Lens")']; kV(}45i]s  
ddeexec(TP_COMMAND,cmd); 0"kNn5  
+g<2t,  
%Close the DDE connection z"u4t.KpL  
ddeterm(TP_COMMAND); =K=FzV'_~  

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