[求助]matlab画准直透镜曲线？ [复制链接]

謝謝大大的分享

算出来也就自然画出来了啊

谢谢哈~

看一下

下来看看

学习一下

看看吧

看看e:matlab画准直透镜曲线？

程序如下： g~A`N=r;h  
% By Ruibin 08-9-25 ByNn  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. I75DUJqy]  
czRFMYE  
clear all;clc 76h ,]xi  
u frL<]A  
% The Frist Step: Define independent parameters l#Y,R 0  
r=3.25;               %选择开孔半径 e [mm  
R=4.25;               %定义曲面底部半径 Q:k}Jl  
d=1;                  %设置透镜前方平板高度 ;P%1j|7  
n=1.4935;             %定义材料折射率 !58@pLJw  
dividing_angle=24;    %定义Core与TIR的分界角 .MoU1n{Yc  
min_angle=1;          %设置计算精度 X
Bu"-(  
N=4;                  %设定拟合非球面系数阶数 wHMX=N1/  
Xg!{K3OS  
% The Second Step：Caculate induced variable A!WKnb_`  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); uH- l%17  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ::{Q1F  
for i=1:(num_Core) fN^8{w/O  
a_Core(i)=(angles_Core(i)*pi/180); 
Oso#+  
k1(i)=cot(a_Core(i)); !/i{
l  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); CxOob1@  
end JL}_72gs  
k1(num_Core)=999;k2(num_Core)=0; V_}"+&W9  
for i=1:num_TIR ywm8N%]v  
a_TIR(i)=(angles_TIR(i)*pi/180); .Una+Z  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); s/ qYa])  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 9BBmw(M}  
end ( !fKNia@S  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); peuZ&yK+"  
EPM
-df!=  
% The Third Step:Solve functions k(7&N0V%zz  
for i=1:num_Core                    %Solve the curve of Core ^sEYOX\  
syms x; >T3-  
f1=k1(i)*x; Nk VK  
f2=k2(i)*(x-X0_Core)+Y0_Core; &n}f?  
f=f1-f2; !_D0vI;  
x=double(solve(f));y=k1(i)*x; KD7dye  
X0_Core=x;Y0_Core=y; Rmt~,cW!\  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; [KaAXv .X  
end ipgC RHE  
for i=1:num_TIR                      %Solve the curve of TIR {xB!EQ"  
syms x; '+!1Y o'G  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; J1RJ*mo7,  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 1 A !bE  
f=f1-f2; udUyh%n  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; JZ*/,|1}EC  
X0_TIR=x;Y0_TIR=y; +tIF h'  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ujq=F  
end 0c'<3@39k|  
]kRfB:4ED  
% The furth Step:Fitting the curve u4F5h PO]  
P_Core=polyfit(Px_Core,Py_Core,4); =eXU@B  
P_TIR=polyfit(Px_TIR,Py_TIR,4); a85$K$b>  
(\hx` Yh=>  
% The fifth Step:Feedback chief dimensions of the lens and Create it [{<`o5qR  
%Feedback dimensions of the whole lens 5Y'qaIFR  
result='透镜尺寸如下：' aweV#j(y  
Diameter_of_lens=2*Px_TIR(num_TIR) 2%@4]  
Thickness_of_lens=Py_TIR(num_TIR)+d #TX/aKr:  
Diameter_of_Core=2*r Cc' 37~6~P  
Thickness_of_front_pannel=d fg!__Rdi  
Bottom_thickness=R-r ith 3=`3  
Lowest_Core=P_Core(5) K'Tm_"[u  
%.Fi4}+O  
%Feedback dimensions of Lens part TIR RJ ||}5  
result='TIR系数如下：' NI}yVV  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d K>r,(zgVc  
Aperture=Px_TIR(num_TIR) 5k3b3&  
Obstruction=r l7259Ro~  
Position=P_TIR(5) +N9X/QFKV  
format short e; EQyC1j  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] XQs1eP'{  
format short; % X+:o]T  
eJVjuG  
%DDE Connection qL&[K>2z  
TP_COMMAND = ddeinit('TracePro','Scheme'); F2dHH^  
%Create TIR #!qm ZN  
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)))']; ^aMg/.
j  
ddeexec(TP_COMMAND,cmd); lL3khJ:%  
cmd =['(entity:move TIR 0 0 -2.3712)']; KL:j
?.0  
ddeexec(TP_COMMAND,cmd); I<4Pur>"  
cmd =['(property:apply-name TIR "TIR")']; 7he,?T)vD  
ddeexec(TP_COMMAND,cmd); q J=~Y|(  
5k3n\sqZA  
%Feedback dimensions of Lens part TIR BNl5!X^{  
result='Core系数如下：' tl4V7!U@^z  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 1N^[.=  
Aperture=r kg~mgMR+w  
Obstruction='None' @ ZwvBH  
Position=P_Core(5) UcDS9f_87  
format short e; NP#w+Qw  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)]  ZrxD`1L  
format short; u\x}8pn  
%Create Core ?)?Ng}  
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)))']; 6BHXp# #z  
ddeexec(TP_COMMAND,cmd); +L|?~p`
V  
cmd =['(entity:move Core 0 0 5.9493)']; G<8/F<m/  
ddeexec(TP_COMMAND,cmd); Gg3,:A_ w  
cmd =['(property:apply-name Core "Core")']; Sh~dwxp*"
 
ddeexec(TP_COMMAND,cmd); Ae^~Cz1qz  
88gM?G _X  
%Create Lens @=Uh',F  
cmd =['(define Unite (bool:unite TIR Core))']; %lx!.G  
ddeexec(TP_COMMAND,cmd); kr5">"7  
cmd =['(define block (insert:block 100 100 100))']; S8w _ii3zd  
ddeexec(TP_COMMAND,cmd); 5 +YH.4R  
cmd =['(entity:move block 0 0 -50)']; 7qLpZ/  
ddeexec(TP_COMMAND,cmd); fZzoAzfv2  
cmd =['(define Lens (bool:subtract Unite block))']; Oo8VeRZ  
ddeexec(TP_COMMAND,cmd); `$<.pOm  
cmd =['(property:apply-name Lens "Lens")']; 9y8&9<#  
ddeexec(TP_COMMAND,cmd); 
O67W&nz  
<X^
@*79m  
%Close the DDE connection 4qbBc1,7y  
ddeterm(TP_COMMAND); 4*#18<u5  

学习学习