[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

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看看e:matlab画准直透镜曲线？

程序如下： #xrE^Txh  
% By Ruibin 08-9-25 e=Kr>~q=  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. FC8= ru  
UFa00t^5  
clear all;clc BQ~&gy{  
g[xn0rG  
% The Frist Step: Define independent parameters EmcwX4|  
r=3.25;               %选择开孔半径 Nx(y_.I{K  
R=4.25;               %定义曲面底部半径 'cbD;+YH  
d=1;                  %设置透镜前方平板高度 *_yp]z"  
n=1.4935;             %定义材料折射率 K~z9b4a>  
dividing_angle=24;    %定义Core与TIR的分界角 ga91#NWgK  
min_angle=1;          %设置计算精度 C?b_E  
N=4;                  %设定拟合非球面系数阶数 s0'Xihsw6  
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% The Second Step：Caculate induced variable }*0*8~Q'5  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 9hs7B!3pc>  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); d4-cZw}+  
for i=1:(num_Core) 4dvuw{NZ  
a_Core(i)=(angles_Core(i)*pi/180); O7I|<H/gVE  
k1(i)=cot(a_Core(i)); tZY(r {  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); noNL.%I  
end 7Y'.yn  
k1(num_Core)=999;k2(num_Core)=0; P}Ule|&LK  
for i=1:num_TIR KY;E.D`  
a_TIR(i)=(angles_TIR(i)*pi/180); 5fa_L'L#  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); T k>N4yq  
k4(i)=tan(asin(cos(a_TIR(i))/n)); E|^~R}z)  
end nbz?D_  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ~4~>;e  
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% The Third Step:Solve functions .:s**UiDR  
for i=1:num_Core                    %Solve the curve of Core }vdhk0  
syms x; %!1:BQ,p,i  
f1=k1(i)*x; 4;d9bd)A  
f2=k2(i)*(x-X0_Core)+Y0_Core; |"a%S,
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f=f1-f2; y
q>3IS4O  
x=double(solve(f));y=k1(i)*x; M3dNG]3E  
X0_Core=x;Y0_Core=y; pfvNVu  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ^Q4m1? 40  
end #r)c@?T@j  
for i=1:num_TIR                      %Solve the curve of TIR tpi63<N  
syms x; O ijG@bI8  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 7uRXu>h  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); I6FglVQ6  
f=f1-f2; yf7p0;$?  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; yN~: 3  
X0_TIR=x;Y0_TIR=y; p,9eZUGy  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; GVp2|\-L  
end `795K8  
5ff66CRw  
% The furth Step:Fitting the curve a4! AvG  
P_Core=polyfit(Px_Core,Py_Core,4); 9Kyr/6w4-k  
P_TIR=polyfit(Px_TIR,Py_TIR,4); UvOB`Vj  
@[S\ FjI  
% The fifth Step:Feedback chief dimensions of the lens and Create it %-:6#bz  
%Feedback dimensions of the whole lens _dq.hW7  
result='透镜尺寸如下：' E$rn^keM  
Diameter_of_lens=2*Px_TIR(num_TIR) _D(F[p|  
Thickness_of_lens=Py_TIR(num_TIR)+d w]\O3'0Js  
Diameter_of_Core=2*r LE!3'^Zq  
Thickness_of_front_pannel=d DY{JA *N  
Bottom_thickness=R-r G?d28p',.  
Lowest_Core=P_Core(5) :U<`iJwY  
ZuF-$]oL&  
%Feedback dimensions of Lens part TIR kf$0}T`  
result='TIR系数如下：' O.*,e  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d W6~B~L  
Aperture=Px_TIR(num_TIR) @&d/}Mx"t  
Obstruction=r :nw4K(:f  
Position=P_TIR(5) $3%EKi  
format short e; qgU$0enSs  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] !UlG!820  
format short; 
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z&d&Ky  
%DDE Connection ,y?0Iwf  
TP_COMMAND = ddeinit('TracePro','Scheme'); .t0Q>:}&b  
%Create TIR jO$3>q  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; 'LR5s[$j  
ddeexec(TP_COMMAND,cmd); #G
s] u  
cmd =['(entity:move TIR 0 0 -2.3712)']; ; eq^m,oz  
ddeexec(TP_COMMAND,cmd); ;Zc(qA  
cmd =['(property:apply-name TIR "TIR")']; !B(6  
ddeexec(TP_COMMAND,cmd); #tdI;x3  
Jpws1~  
%Feedback dimensions of Lens part TIR H{`S/>)[   
result='Core系数如下：' N/mTG2'<  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d pl V]hu27K  
Aperture=r b4s.`%U  
Obstruction='None' 9#.nNv*z3  
Position=P_Core(5) ep Eg6   
format short e; ~(%n
nG6x  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 7 rOziKZ"  
format short; ,)nO  
%Create Core &aaXw?/zr  
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)))']; Y_)!U`>N?  
ddeexec(TP_COMMAND,cmd); k 0z2)
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cmd =['(entity:move Core 0 0 5.9493)']; vVmoV0kGt  
ddeexec(TP_COMMAND,cmd); )avli@W-3j  
cmd =['(property:apply-name Core "Core")']; /A4zR  
ddeexec(TP_COMMAND,cmd); Id(L}i(X  
kA{[k  
%Create Lens [F/>pL5U$  
cmd =['(define Unite (bool:unite TIR Core))']; {?17Zth  
ddeexec(TP_COMMAND,cmd); NB;8 e>8  
cmd =['(define block (insert:block 100 100 100))']; egxh  
ddeexec(TP_COMMAND,cmd); ksT2_Ic  
cmd =['(entity:move block 0 0 -50)']; {xp/1?Mo*  
ddeexec(TP_COMMAND,cmd); 8/x@
|rjW  
cmd =['(define Lens (bool:subtract Unite block))']; ,n}X,#]  
ddeexec(TP_COMMAND,cmd); lW1Al>dW<  
cmd =['(property:apply-name Lens "Lens")']; YgCJ s;  
ddeexec(TP_COMMAND,cmd); DDyeNuK  
Ua)ARi %  
%Close the DDE connection VlXUrJ9&  
ddeterm(TP_COMMAND); DZ |0CB~  

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