[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： aBAoSn  
% By Ruibin 08-9-25 @2Z|\ojJ  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. +t7HlAXB#  
3D|Lb]=  
clear all;clc Gs
:g  
{v"f){   
% The Frist Step: Define independent parameters "*lx9bvV_  
r=3.25;               %选择开孔半径 s< tG  
R=4.25;               %定义曲面底部半径 '(]Wtx%9"  
d=1;                  %设置透镜前方平板高度 (Jq m9  
n=1.4935;             %定义材料折射率 ?eJ'$  
dividing_angle=24;    %定义Core与TIR的分界角 t>[QW`EeP  
min_angle=1;          %设置计算精度 &9e  
N=4;                  %设定拟合非球面系数阶数 }9OMXLbRv  
vn.5X  
% The Second Step：Caculate induced variable %Wtf24'o;v  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); zw<<st Bp  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 6~dAK3v5  
for i=1:(num_Core) E~y8X9HZ)  
a_Core(i)=(angles_Core(i)*pi/180); XDK Me}  
k1(i)=cot(a_Core(i)); XT^=v6^H  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); +w0Wg.4V  
end U6JD^G=qR,  
k1(num_Core)=999;k2(num_Core)=0; tB;PGk_6  
for i=1:num_TIR <$A,|m  
a_TIR(i)=(angles_TIR(i)*pi/180); uQdeKp4(  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); W6?=9].gc  
k4(i)=tan(asin(cos(a_TIR(i))/n)); P2'c{],3V  
end <Sot{_"li  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); c!@|yE,  
{aE[h[=r  
% The Third Step:Solve functions UP#@gxF  
for i=1:num_Core                    %Solve the curve of Core Zbo4{.#  
syms x; %DuPM66r  
f1=k1(i)*x; 0A}XhX  
f2=k2(i)*(x-X0_Core)+Y0_Core; <EnmH/C.  
f=f1-f2; ]ZLF=  
x=double(solve(f));y=k1(i)*x; W[jg+|  
X0_Core=x;Y0_Core=y; *twGIX
 
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; qkfof{z  
end Rk9n,"xpv  
for i=1:num_TIR                      %Solve the curve of TIR /l`zZ>  
syms x; mx
qZj8VuH  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ]Zb9F[  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 1F.._5_"]  
f=f1-f2; Y
6wr}U  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Y*xgY*K  
X0_TIR=x;Y0_TIR=y; iv`G}.Bo  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; bfeTf66c  
end 9@1n:X  
W~H`{x%Av>  
% The furth Step:Fitting the curve YusmMsN?  
P_Core=polyfit(Px_Core,Py_Core,4); |X{j^JP5  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 9>{ml&$  
Q]5_s{kiz  
% The fifth Step:Feedback chief dimensions of the lens and Create it 5k
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%Feedback dimensions of the whole lens ) `{jPK*`  
result='透镜尺寸如下：' G;gsDn1t  
Diameter_of_lens=2*Px_TIR(num_TIR) '&Ur(axs  
Thickness_of_lens=Py_TIR(num_TIR)+d uP4yJ/]  
Diameter_of_Core=2*r @o[ZJ4>*  
Thickness_of_front_pannel=d e=XP4h  
Bottom_thickness=R-r [fCnq  
Lowest_Core=P_Core(5) i:Y5aZc/Ds  
,'C*?mms  
%Feedback dimensions of Lens part TIR T=NLBJ  
result='TIR系数如下：' ")ys!V9  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d )h ,v(Rxa  
Aperture=Px_TIR(num_TIR) 6b*xhu\  
Obstruction=r 5_A*IC]  
Position=P_TIR(5) [<r.M<3  
format short e; 2KO`+
  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] )fo0YpE^|  
format short; h5P ]`r  
"E<+idoz  
%DDE Connection idHI)6!  
TP_COMMAND = ddeinit('TracePro','Scheme'); iB99.,o-&  
%Create TIR )Q9Qo)D T  
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)))']; @GXKqi  
ddeexec(TP_COMMAND,cmd); {'alA  
cmd =['(entity:move TIR 0 0 -2.3712)']; zWPX  
ddeexec(TP_COMMAND,cmd); 7.2G}O6$  
cmd =['(property:apply-name TIR "TIR")']; 1q=Q/
L4P  
ddeexec(TP_COMMAND,cmd); 1z|bQ,5  
x+~!M:fAc9  
%Feedback dimensions of Lens part TIR h[Sd3Z*  
result='Core系数如下：' X<_HQ  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Qu<6X@+5  
Aperture=r ElTB{C>u  
Obstruction='None' "Plo[E  
Position=P_Core(5) 6wT ])84  
format short e; Z@Q/P(t  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)]  &I-T  
format short; (z;lNl(*C  
%Create Core 1mHS -oI9J  
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)))']; G8'{nPA~  
ddeexec(TP_COMMAND,cmd); ]'n4e*  
cmd =['(entity:move Core 0 0 5.9493)']; 3ouy-SQ  
ddeexec(TP_COMMAND,cmd); ";Cf@}i>  
cmd =['(property:apply-name Core "Core")']; {tOf0W|  
ddeexec(TP_COMMAND,cmd); a/s5Oit2'X  
a:GM|X  
%Create Lens ~u!V_su]GY  
cmd =['(define Unite (bool:unite TIR Core))']; 6jm?d"9  
ddeexec(TP_COMMAND,cmd); 3S#p4{3  
cmd =['(define block (insert:block 100 100 100))']; izcjI.3e,  
ddeexec(TP_COMMAND,cmd); oM>UIDCY_v  
cmd =['(entity:move block 0 0 -50)']; DO{otn9<  
ddeexec(TP_COMMAND,cmd); Hr=|xw8.  
cmd =['(define Lens (bool:subtract Unite block))']; y
(iq  
ddeexec(TP_COMMAND,cmd); |_g7k2oLY  
cmd =['(property:apply-name Lens "Lens")']; sk07|9nU  
ddeexec(TP_COMMAND,cmd); ;:oXe*d  
G2y1S/  
%Close the DDE connection +qpG$#J0  
ddeterm(TP_COMMAND); :B=Gb8?  

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