[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： 5P\N"Yjx'  
% By Ruibin 08-9-25 Mo|yv[(K,  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 3]S`|#J  
BTs0o&}e  
clear all;clc b;{h?xc6  
okDJ(AIV+  
% The Frist Step: Define independent parameters JN^bo(kb  
r=3.25;               %选择开孔半径 _80ns&q  
R=4.25;               %定义曲面底部半径 9HKf^+';n  
d=1;                  %设置透镜前方平板高度 hho%~^bn(  
n=1.4935;             %定义材料折射率 ,i![QXZ  
dividing_angle=24;    %定义Core与TIR的分界角 =c]a {|W?  
min_angle=1;          %设置计算精度 ?pKN'`  
N=4;                  %设定拟合非球面系数阶数 )[ b#g(Y(  
<(uTs
t
 
% The Second Step：Caculate induced variable s!`H  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); E0jUewG  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); "G kI5!  
for i=1:(num_Core) |D(&w+(  
a_Core(i)=(angles_Core(i)*pi/180); "OJr*B  
k1(i)=cot(a_Core(i)); AA.Ys89V  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ^Fvr f`A'  
end U#"WrWj  
k1(num_Core)=999;k2(num_Core)=0; /&QQ p3  
for i=1:num_TIR C
2.W[T  
a_TIR(i)=(angles_TIR(i)*pi/180); fp-m.d:|  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 5%'S  
k4(i)=tan(asin(cos(a_TIR(i))/n)); $owb3g(%4  
end xH@'H?  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); qAORWc  
L6kZ2-6  
% The Third Step:Solve functions ;%!tf{Si  
for i=1:num_Core                    %Solve the curve of Core %t{Sb4XZ4k  
syms x; ?q6Z's[  
f1=k1(i)*x; -;<>tq
'3`  
f2=k2(i)*(x-X0_Core)+Y0_Core; kU(kU
2u%9  
f=f1-f2; 8.-S$^hj~6  
x=double(solve(f));y=k1(i)*x; >\&=
[C  
X0_Core=x;Y0_Core=y; ex=)H%_|  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; soxfk+ 9  
end pMDH  
for i=1:num_TIR                      %Solve the curve of TIR e SK((T  
syms x; bkkSIl+Q  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; pd7O`.3  
f2=k4(i)*(x-r)+r*cot(a_TIR(i));
bZK+9
IR  
f=f1-f2; K7S754m  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; qkiJHT  
X0_TIR=x;Y0_TIR=y; *f?S5.  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; [xWEf#', !  
end S_j1=6#^  
b.@H1L  
% The furth Step:Fitting the curve e6o/q)9#  
P_Core=polyfit(Px_Core,Py_Core,4); L1rAT  
P_TIR=polyfit(Px_TIR,Py_TIR,4); InP[yFV-z  
U(P:Je  
% The fifth Step:Feedback chief dimensions of the lens and Create it Dl&PL  
%Feedback dimensions of the whole lens +R9%~Z.=  
result='透镜尺寸如下：' &b!vWX1N  
Diameter_of_lens=2*Px_TIR(num_TIR) U-1VnX9m  
Thickness_of_lens=Py_TIR(num_TIR)+d f@h2;An$w  
Diameter_of_Core=2*r 9n-T5WP  
Thickness_of_front_pannel=d t(wZiK}  
Bottom_thickness=R-r f>O54T .L.  
Lowest_Core=P_Core(5) @|E;}:?u  
t[/\KG8  
%Feedback dimensions of Lens part TIR ,RR;
VKj  
result='TIR系数如下：' F68},N>vr@  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d :ao^/&HZ  
Aperture=Px_TIR(num_TIR) J-b~4  
Obstruction=r G 2!}R  
Position=P_TIR(5) avmcGyL  
format short e; \)p4okpR  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ~d&'Lp[3  
format short; PIgGXNo  
@Jkui  
%DDE Connection ,eyp$^2  
TP_COMMAND = ddeinit('TracePro','Scheme'); 8?A@/  
%Create TIR ^dheJ]n=k  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; sE^ns\&QP=  
ddeexec(TP_COMMAND,cmd); -|6V}wHg~  
cmd =['(entity:move TIR 0 0 -2.3712)']; /L)?> tg  
ddeexec(TP_COMMAND,cmd); !?S5IGLOj  
cmd =['(property:apply-name TIR "TIR")']; ! Zno[R  
ddeexec(TP_COMMAND,cmd); -hQ96S8  
BvSdp6z9Iv  
%Feedback dimensions of Lens part TIR b=V)?"e-  
result='Core系数如下：' jkZ_c!  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d W]} #\\$z  
Aperture=r qw6EPC  
Obstruction='None' 2;dM:FHLhO  
Position=P_Core(5) "9)1K!tH  
format short e; [t {vYo  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] <GSQ2bX[  
format short; #"=%b e3  
%Create Core @QvfN>T  
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)))']; &uv>'S#%  
ddeexec(TP_COMMAND,cmd); czXI?]gg,  
cmd =['(entity:move Core 0 0 5.9493)']; zNNzsT8na  
ddeexec(TP_COMMAND,cmd); b$;HI7)/K  
cmd =['(property:apply-name Core "Core")']; (PRaiE  
ddeexec(TP_COMMAND,cmd); 9`OG  
sx<} tbG  
%Create Lens cjCE3V9X  
cmd =['(define Unite (bool:unite TIR Core))']; Kh>?!`lL  
ddeexec(TP_COMMAND,cmd); Vww@eK%5Q  
cmd =['(define block (insert:block 100 100 100))']; _K 4eD.  
ddeexec(TP_COMMAND,cmd); 516VQ<?B  
cmd =['(entity:move block 0 0 -50)']; xmCm3ekmpC  
ddeexec(TP_COMMAND,cmd); |U8>:DEl  
cmd =['(define Lens (bool:subtract Unite block))']; P}ehNt*($  
ddeexec(TP_COMMAND,cmd); .q AQPL  
cmd =['(property:apply-name Lens "Lens")']; V`WI"HO+  
ddeexec(TP_COMMAND,cmd); SS>:Sw  
\DG( 8l  
%Close the DDE connection [{hLF9yPx  
ddeterm(TP_COMMAND); (1QdZD|  

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