[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： Ox-|JJ=  
% By Ruibin 08-9-25 !Ta>U^7  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. bAx?&$  
8}(]]ayl  
clear all;clc m?&1yU9  
`ta7Gc/:UY  
% The Frist Step: Define independent parameters '{B!6|"X  
r=3.25;               %选择开孔半径 CJ++?hB]X  
R=4.25;               %定义曲面底部半径 95
V@X ^Ee  
d=1;                  %设置透镜前方平板高度 ^k\e8F/  
n=1.4935;             %定义材料折射率 k]I0o)+O.  
dividing_angle=24;    %定义Core与TIR的分界角 wT{nu[=GH*  
min_angle=1;          %设置计算精度 ,tg0L$qC  
N=4;                  %设定拟合非球面系数阶数 &%/7E_j7  
b?'yAXk  
% The Second Step：Caculate induced variable p"U,G -_  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); "V}[':fen  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 71{p+3Z&  
for i=1:(num_Core) 2j&AiD  
a_Core(i)=(angles_Core(i)*pi/180); l(#)WWr+  
k1(i)=cot(a_Core(i)); =3v]gOcO  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2);
Xp}Yw"7  
end G}G#i`6o  
k1(num_Core)=999;k2(num_Core)=0; 7!N2-6GV  
for i=1:num_TIR ~B(6+~%  
a_TIR(i)=(angles_TIR(i)*pi/180); wLH] <k  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); Zg.&V  
k4(i)=tan(asin(cos(a_TIR(i))/n)); E^S
H\5B  
end Pp5^@A  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); NW&b&o  
Ho *AAg  
% The Third Step:Solve functions h?azFA~  
for i=1:num_Core                    %Solve the curve of Core qZA).12qS  
syms x; HC}Y
Y2  
f1=k1(i)*x; ,xxR\}  
f2=k2(i)*(x-X0_Core)+Y0_Core; TG5XSy  
f=f1-f2; MHC^8VL  
x=double(solve(f));y=k1(i)*x; L;f!.FX#  
X0_Core=x;Y0_Core=y; J>bJ 449B  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; c?,i3s+2Y  
end E2{FK)qT  
for i=1:num_TIR                      %Solve the curve of TIR <|Pun8j  
syms x; ]]wA[c~G  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 9,r rQQD_  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); oTuOw|[  
f=f1-f2; w&
KK3*=""  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; S9",d~EM  
X0_TIR=x;Y0_TIR=y; #
"5 Dk#@  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 9^p;UA  
end }I2@%tt?  
bG(3^"dS  
% The furth Step:Fitting the curve %V ;?  
P_Core=polyfit(Px_Core,Py_Core,4); 2j[&=R/.  
P_TIR=polyfit(Px_TIR,Py_TIR,4); UTH_^HAN#G  
1cD! :[  
% The fifth Step:Feedback chief dimensions of the lens and Create it '4#}e[e  
%Feedback dimensions of the whole lens K]0JC/R6(@  
result='透镜尺寸如下：' W0]gLw9*  
Diameter_of_lens=2*Px_TIR(num_TIR) V:c;-)(  
Thickness_of_lens=Py_TIR(num_TIR)+d )}?#  
Diameter_of_Core=2*r SK#(#OQoh  
Thickness_of_front_pannel=d Q{lpKe0  
Bottom_thickness=R-r a,WICv0E  
Lowest_Core=P_Core(5)  #c66)  
[a wjio  
%Feedback dimensions of Lens part TIR eXf22;Lz  
result='TIR系数如下：' M!XsJ<jN/  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d vsl]92xI  
Aperture=Px_TIR(num_TIR) 9^G/8<^^>  
Obstruction=r 0PrLuej
z  
Position=P_TIR(5) 07^iP>?  
format short e; ssN6M./6  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] tyqT  
format short; n@,G8=J?  
rMhB9zB1  
%DDE Connection Evjj"h&0J  
TP_COMMAND = ddeinit('TracePro','Scheme'); cj'}4(  
%Create TIR z3;*Em8Ir  
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)))']; f__cn^1  
ddeexec(TP_COMMAND,cmd); pv Gf\pu  
cmd =['(entity:move TIR 0 0 -2.3712)']; "*srx]  
ddeexec(TP_COMMAND,cmd); K$E3QVa  
cmd =['(property:apply-name TIR "TIR")']; %YC_Se7  
ddeexec(TP_COMMAND,cmd); 5X:*/FuS@  
G%W8S \  
%Feedback dimensions of Lens part TIR <yH4HY  
result='Core系数如下：' CyXRi}W.  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d lUvpszH=  
Aperture=r 8Y7Q+p|O  
Obstruction='None' tE`u(B,  
Position=P_Core(5) m1Mt#@,$  
format short e; YLzx<~E4a  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] k@
3Q|na  
format short; +N:o-9  
%Create Core xY^%&n  
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)))']; [J4gH^Z_  
ddeexec(TP_COMMAND,cmd); Wg<(ms dj  
cmd =['(entity:move Core 0 0 5.9493)']; [8*jw'W|[  
ddeexec(TP_COMMAND,cmd); !FElW`F  
cmd =['(property:apply-name Core "Core")']; ,l:ORoND  
ddeexec(TP_COMMAND,cmd); [nrYpb4  
G2Qlt@.T  
%Create Lens 3 +G$-ru  
cmd =['(define Unite (bool:unite TIR Core))']; O\"3J(y,  
ddeexec(TP_COMMAND,cmd); {_ i\f ]L  
cmd =['(define block (insert:block 100 100 100))']; v{ 0=  
ddeexec(TP_COMMAND,cmd); \b?" b  
cmd =['(entity:move block 0 0 -50)']; ECrex>zr%  
ddeexec(TP_COMMAND,cmd); zGAq-<  
cmd =['(define Lens (bool:subtract Unite block))']; opy("qH  
ddeexec(TP_COMMAND,cmd); /2=#t-p+  
cmd =['(property:apply-name Lens "Lens")']; rMLp-aR'  
ddeexec(TP_COMMAND,cmd); .ZVUd84B  
Tk:h@F|B.|  
%Close the DDE connection NnDxq%l%  
ddeterm(TP_COMMAND); @M_oH:GV  

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