[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： '<5Gf1 @|  
% By Ruibin 08-9-25 3ddH@Y|  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Ar7vEa81  
H8.U#%  
clear all;clc +Wh0Of  
|0:<Z(  
% The Frist Step: Define independent parameters TV\21  
r=3.25;               %选择开孔半径 EL$l . v  
R=4.25;               %定义曲面底部半径 )%Z<9k  
d=1;                  %设置透镜前方平板高度 b7Jk{x #u  
n=1.4935;             %定义材料折射率 ag^EH"%zw  
dividing_angle=24;    %定义Core与TIR的分界角 +!Q<gWb  
min_angle=1;          %设置计算精度 ,!_$A}@0 ^  
N=4;                  %设定拟合非球面系数阶数 Q4\EI=4P]  
j:B?0~=  
% The Second Step：Caculate induced variable w^EAk(77  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); S{gB~W  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ^+tAgK2   
for i=1:(num_Core) $Q*h+)g<  
a_Core(i)=(angles_Core(i)*pi/180); 7y.$'<  
k1(i)=cot(a_Core(i)); E9TWLB5A)(  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); zC#[  
end E7@0,9AU  
k1(num_Core)=999;k2(num_Core)=0; 0*S]m5#;  
for i=1:num_TIR *>,8+S33r{  
a_TIR(i)=(angles_TIR(i)*pi/180); ;4p_lw@  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 8sjAr.iT.  
k4(i)=tan(asin(cos(a_TIR(i))/n)); PB00\&6H  
end 'MH WNPG0  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 4^\5]d!  
{eA0I\c(C  
% The Third Step:Solve functions .<566g}VP  
for i=1:num_Core                    %Solve the curve of Core SVWtKc<  
syms x; !PJD+SrG  
f1=k1(i)*x; :"5'l>la  
f2=k2(i)*(x-X0_Core)+Y0_Core; k44sV.G4L  
f=f1-f2; C1_':-4  
x=double(solve(f));y=k1(i)*x; k"X<gA  
X0_Core=x;Y0_Core=y; b$\3Y'":  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 5:v"^"Sz  
end E+-ahvk  
for i=1:num_TIR                      %Solve the curve of TIR \g&P5  
syms x; U;f~Q6iu  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; :E'uV"j%  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); k)j,~JH  
f=f1-f2; 7\I,;swo  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; &?C% -"|c  
X0_TIR=x;Y0_TIR=y; 60p*$Vqy
 
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; :H($|$\h  
end 0Snl_@s  
ZdG?fWWA  
% The furth Step:Fitting the curve %_Gc9SI  
P_Core=polyfit(Px_Core,Py_Core,4);
7`-fN|  
P_TIR=polyfit(Px_TIR,Py_TIR,4); d Bn/_  
'jh9n7mH  
% The fifth Step:Feedback chief dimensions of the lens and Create it ~5LlIpf36|  
%Feedback dimensions of the whole lens 6\"g,f  
result='透镜尺寸如下：' K. [2uhB)  
Diameter_of_lens=2*Px_TIR(num_TIR) nP`#z&C  
Thickness_of_lens=Py_TIR(num_TIR)+d {jB& e,  
Diameter_of_Core=2*r 1_$ybftS  
Thickness_of_front_pannel=d pIcvsd  
Bottom_thickness=R-r ;s{k32e  
Lowest_Core=P_Core(5) sk*AlSlM  
W
$&{jr-p  
%Feedback dimensions of Lens part TIR <NRW^#g<x  
result='TIR系数如下：' &ru2&Sz  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d > Q[L,I  
Aperture=Px_TIR(num_TIR) !Ab4'4f  
Obstruction=r _Q&O#
f  
Position=P_TIR(5) x[XN;W&  
format short e; BPRhGG|9j
 
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] qy@v,a  
format short; R%l6+Okr  
"Z xM,kI  
%DDE Connection 5-rG8  
TP_COMMAND = ddeinit('TracePro','Scheme'); !F]7q]g  
%Create TIR |VC|@ Q  
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)))']; 
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ddeexec(TP_COMMAND,cmd); AcC'hr.N+  
cmd =['(entity:move TIR 0 0 -2.3712)']; &oi*]:<FNe  
ddeexec(TP_COMMAND,cmd); :)7{$OR&  
cmd =['(property:apply-name TIR "TIR")']; ~J #^L*  
ddeexec(TP_COMMAND,cmd); _19x`J3  
dC&{zNG  
%Feedback dimensions of Lens part TIR ~+_|J"\  
result='Core系数如下：' Iu(j"b#
 
Thickness=Py_TIR(num_TIR)-P_Core(5)+d w.v yEU^  
Aperture=r kQm\f  
Obstruction='None' ~:h-m\=8Y  
Position=P_Core(5) B?o ?LI  
format short e; *WS'C}T  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] +-8u09-F  
format short; P!uwhha/g  
%Create Core WEX6I16  
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)))']; E<=h6Ha  
ddeexec(TP_COMMAND,cmd); g$=y#<2?  
cmd =['(entity:move Core 0 0 5.9493)']; Ekq&.qjYG"  
ddeexec(TP_COMMAND,cmd); r7dvj#^  
cmd =['(property:apply-name Core "Core")']; y9<]F6TT  
ddeexec(TP_COMMAND,cmd); ';T=kS<^_  
vpTYfE  
%Create Lens .Y@)3  
cmd =['(define Unite (bool:unite TIR Core))']; `8 Q3=^)3  
ddeexec(TP_COMMAND,cmd); 2VSs#z!  
cmd =['(define block (insert:block 100 100 100))']; h7 uv0a~0  
ddeexec(TP_COMMAND,cmd); R 2.y=P8N  
cmd =['(entity:move block 0 0 -50)']; ;4E(n  
ddeexec(TP_COMMAND,cmd); <<Zt.!hS  
cmd =['(define Lens (bool:subtract Unite block))']; $inpiO|s  
ddeexec(TP_COMMAND,cmd); BNA`Cc1VV  
cmd =['(property:apply-name Lens "Lens")']; |q0MM^%"  
ddeexec(TP_COMMAND,cmd); ZH o#2{F  
e G8Zn<:s  
%Close the DDE connection ^Ob#B!=  
ddeterm(TP_COMMAND); '3n?1x  

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