[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： Q>$v~v?9  
% By Ruibin 08-9-25 sXA=KD8  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. X@rAe37h+  
N{0 D<"  
clear all;clc L 'y+^L|X  
3;AAC (X  
% The Frist Step: Define independent parameters "PPwJ/L(  
r=3.25;               %选择开孔半径 Sj\8$QIXC  
R=4.25;               %定义曲面底部半径 ryPzq}#  
d=1;                  %设置透镜前方平板高度 ~Q5HM  
n=1.4935;             %定义材料折射率 ^
Ue>T8  
dividing_angle=24;    %定义Core与TIR的分界角 K9c:K/H  
min_angle=1;          %设置计算精度 G8VWx&RE  
N=4;                  %设定拟合非球面系数阶数 8}2 `^<U  
,b{4GU$3  
% The Second Step：Caculate induced variable HXX"B,N  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); wbTw\b=  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); e8Jd*AKjb  
for i=1:(num_Core) }I"^WCyH  
a_Core(i)=(angles_Core(i)*pi/180); "Z <1Msz  
k1(i)=cot(a_Core(i)); L,$9)`j  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); SX#ATf6#  
end t+t&eg  
k1(num_Core)=999;k2(num_Core)=0; G"]'`2.m  
for i=1:num_TIR Ktoxl+I?  
a_TIR(i)=(angles_TIR(i)*pi/180); %5b2vrg~*  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); }QK-@T@4<  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 6B=J*8 Hs  
end eG.?s;J0  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); W>.qGK|l  
^VD14V3  
% The Third Step:Solve functions ;TY
kJH"  
for i=1:num_Core                    %Solve the curve of Core &0'BCT  
syms x; GKX#-zsh79  
f1=k1(i)*x; kjH0u$n  
f2=k2(i)*(x-X0_Core)+Y0_Core; R b'"09)$  
f=f1-f2; z[th@!3  
x=double(solve(f));y=k1(i)*x; !"Kg b;A
 
X0_Core=x;Y0_Core=y; 72aj4k]^  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; r>Vgo):s  
end uTQ/_$  
for i=1:num_TIR                      %Solve the curve of TIR 8D-g%Aj-  
syms x; I/c* ?  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Hly$ Wm  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); c}Qj
KJ-c  
f=f1-f2; g94NU X  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; <3'r&ks  
X0_TIR=x;Y0_TIR=y; o`G@Je_}x  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; xRb-m$B}L  
end ?g1%-F+  
mAz'
:R[  
% The furth Step:Fitting the curve >>p3#~/  
P_Core=polyfit(Px_Core,Py_Core,4); M*nfWQ a  
P_TIR=polyfit(Px_TIR,Py_TIR,4); Zx@{nVoYe~  
fN@2 B  
% The fifth Step:Feedback chief dimensions of the lens and Create it @X:P`?("^  
%Feedback dimensions of the whole lens QM OOJA  
result='透镜尺寸如下：' E}UlQq  
Diameter_of_lens=2*Px_TIR(num_TIR) wT;D<rqe`  
Thickness_of_lens=Py_TIR(num_TIR)+d ^b'[81%  
Diameter_of_Core=2*r -rUn4a  
Thickness_of_front_pannel=d _jp8;M~Z  
Bottom_thickness=R-r 9M<{@<]dm  
Lowest_Core=P_Core(5) DJhi>!xJ  
aB.`'d)V  
%Feedback dimensions of Lens part TIR -3A#a_fu  
result='TIR系数如下：' +h"RXwlBM  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d F]xo*  
Aperture=Px_TIR(num_TIR) V#zDYrp  
Obstruction=r ]h,XRDK  
Position=P_TIR(5) X2~>Z^, U  
format short e; kP3'BBd,  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] |nIm$
p'  
format short; s/8>(-H#  
7Q2"]f,$CQ  
%DDE Connection !ce5pA  
TP_COMMAND = ddeinit('TracePro','Scheme'); :beBiO  
%Create TIR )=#QTiJ  
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)))']; vn7<>k>dx  
ddeexec(TP_COMMAND,cmd); Zj%l (OVq  
cmd =['(entity:move TIR 0 0 -2.3712)']; zmF_-Q`c  
ddeexec(TP_COMMAND,cmd); w`q):yXX
 
cmd =['(property:apply-name TIR "TIR")']; !q mnMY$  
ddeexec(TP_COMMAND,cmd); 7YrX3Hx8  
vzG(u_,9[  
%Feedback dimensions of Lens part TIR qdWsP9}q  
result='Core系数如下：' l-g+E{ZM  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d =otJf
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Aperture=r ?"\X46Gz;  
Obstruction='None' '7 SFa]tH  
Position=P_Core(5) X2v|O3>/N  
format short e; ^h1EE=E"  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)]  1)U%p  
format short; @|sDb?J  
%Create Core D=i)AZqMPp  
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)))']; ;b-Y$<  
ddeexec(TP_COMMAND,cmd); 0x*L
"HD  
cmd =['(entity:move Core 0 0 5.9493)']; F6`$5%$M;?  
ddeexec(TP_COMMAND,cmd); { <f]6  
cmd =['(property:apply-name Core "Core")']; x8+W9i0[1  
ddeexec(TP_COMMAND,cmd); Lj`MFZ  
fO|oV0Rw  
%Create Lens kdcr*7w  
cmd =['(define Unite (bool:unite TIR Core))']; W6:ei.d+NS  
ddeexec(TP_COMMAND,cmd); Wz',>&a  
cmd =['(define block (insert:block 100 100 100))']; >,wm-4&E  
ddeexec(TP_COMMAND,cmd); n$&xVaF|  
cmd =['(entity:move block 0 0 -50)']; [oqb@J2  
ddeexec(TP_COMMAND,cmd); ~H`~&?  
cmd =['(define Lens (bool:subtract Unite block))']; {@ ygq-TZ  
ddeexec(TP_COMMAND,cmd); '7Q5"M'  
cmd =['(property:apply-name Lens "Lens")']; kqdF)Wa am  
ddeexec(TP_COMMAND,cmd); K=nW|^  
j+YA/54`  
%Close the DDE connection JL.noV3q$  
ddeterm(TP_COMMAND); V/"P};n  

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