[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： 552c4h/T  
% By Ruibin 08-9-25 2vu"PeU9  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ,?<jue/bd  
:=UeYm @  
clear all;clc  4\dc  
{C|#<}1  
% The Frist Step: Define independent parameters }oj$w?Ex  
r=3.25;               %选择开孔半径 }4 P@`>e/`  
R=4.25;               %定义曲面底部半径 gWv/3hWWB  
d=1;                  %设置透镜前方平板高度 :}o0Eb  
n=1.4935;             %定义材料折射率 l J;wl|9  
dividing_angle=24;    %定义Core与TIR的分界角 s|%mGt &L  
min_angle=1;          %设置计算精度 =>4>Z_q  
N=4;                  %设定拟合非球面系数阶数 n]6xrsE  
}!lLA4XRr  
% The Second Step：Caculate induced variable KX[_eOL  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); X -w#E3  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); h,rGa\X~0  
for i=1:(num_Core) M+ 8!#n  
a_Core(i)=(angles_Core(i)*pi/180); Yf7n0Etd,  
k1(i)=cot(a_Core(i)); 9\R:J"X  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); fPZBm&`C  
end Hx62x X  
k1(num_Core)=999;k2(num_Core)=0; E6y/,s^~S_  
for i=1:num_TIR x44)o:  
a_TIR(i)=(angles_TIR(i)*pi/180); ol:,02E&  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ?U iwr{Q  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ov*zQP  
end aq0J }4U  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ?K|PM<A  
{jJUS>  
% The Third Step:Solve functions +\\*Iy'xK  
for i=1:num_Core                    %Solve the curve of Core 2JUX29rER  
syms x; D0us<9q  
f1=k1(i)*x; e
l;^cMY  
f2=k2(i)*(x-X0_Core)+Y0_Core; fn&gM\<-+(  
f=f1-f2; It(8s)5  
x=double(solve(f));y=k1(i)*x; KaBze67<|  
X0_Core=x;Y0_Core=y; Czid"Ih-  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; rm1R^n  
end A5F< <  
for i=1:num_TIR                      %Solve the curve of TIR f(|qE(  
syms x; Ej F<lw  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; T,`'qZ>  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 3!Rb{  
f=f1-f2; Kg~<
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x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; "n7rbh3VW  
X0_TIR=x;Y0_TIR=y; (GMKIw2  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; F2AM/m^!q  
end va95/(  
B.
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% The furth Step:Fitting the curve pvDr&n9  
P_Core=polyfit(Px_Core,Py_Core,4); J
r%u[d>  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 1LJ ?Ka[_*  
zi:GvTG  
% The fifth Step:Feedback chief dimensions of the lens and Create it gt';_
  
%Feedback dimensions of the whole lens *;,=x<  
result='透镜尺寸如下：' (|bMtT?"x  
Diameter_of_lens=2*Px_TIR(num_TIR) slOki|p;  
Thickness_of_lens=Py_TIR(num_TIR)+d i"F'n0*L  
Diameter_of_Core=2*r jE&kN$.7j  
Thickness_of_front_pannel=d  S`U Gk  
Bottom_thickness=R-r 8r
GW G  
Lowest_Core=P_Core(5) GWM2l?zOP  
9bMM-~  
%Feedback dimensions of Lens part TIR ie 2X.#  
result='TIR系数如下：' 23
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Thickness=Py_TIR(num_TIR)-P_TIR(5)+d jMzHs*:  
Aperture=Px_TIR(num_TIR) \Y Cj/tG8  
Obstruction=r *O)_D bj  
Position=P_TIR(5) |n}W^}S5  
format short e; -=Q_E^'  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] MPAZ%<gmD  
format short; /A9Mv%zjk  
d?v#gW
 
%DDE Connection Bag2sk  
TP_COMMAND = ddeinit('TracePro','Scheme'); 69dFd!G\  
%Create TIR 2^ ^;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)))']; >tr_Ypfv,c  
ddeexec(TP_COMMAND,cmd); r{YyKSL1*K  
cmd =['(entity:move TIR 0 0 -2.3712)']; .sbU-_ij@U  
ddeexec(TP_COMMAND,cmd); ngsa
x1xO  
cmd =['(property:apply-name TIR "TIR")']; xGk@BA=0<  
ddeexec(TP_COMMAND,cmd); o*qEAy?  
r[TS#hQ  
%Feedback dimensions of Lens part TIR c72Oy+#  
result='Core系数如下：' w_KGn17  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d a_
waLH/  
Aperture=r F}H!vh[  
Obstruction='None' Pl}}!<!<z  
Position=P_Core(5) pEH[fA]  
format short e; "*RCV6{  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] hX`WVVoF  
format short; JV36@DVQ  
%Create Core ,*E%D_  
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)))']; x3PeU_9  
ddeexec(TP_COMMAND,cmd); TbIM{X  
cmd =['(entity:move Core 0 0 5.9493)']; ;FMK>%Zq  
ddeexec(TP_COMMAND,cmd); i#kRVua/  
cmd =['(property:apply-name Core "Core")']; O.&6J/  
ddeexec(TP_COMMAND,cmd); xXA$16kd  
-fL|e/  
%Create Lens C;dA?Es>R  
cmd =['(define Unite (bool:unite TIR Core))'];
4=o3ZRV  
ddeexec(TP_COMMAND,cmd); >z>UtT:  
cmd =['(define block (insert:block 100 100 100))']; wS``Q8K+dM  
ddeexec(TP_COMMAND,cmd); k5!k3yI  
cmd =['(entity:move block 0 0 -50)']; ^b-H  
ddeexec(TP_COMMAND,cmd); _q6+]  
cmd =['(define Lens (bool:subtract Unite block))']; oxO}m7ULH  
ddeexec(TP_COMMAND,cmd); "sT`Dhr  
cmd =['(property:apply-name Lens "Lens")']; :Jhx4/10  
ddeexec(TP_COMMAND,cmd); II>X6  
+ {a  
%Close the DDE connection &\<RVE  
ddeterm(TP_COMMAND); R^1= :<)C  

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