[求助]matlab画准直透镜曲线？ [复制链接]

謝謝大大的分享

算出来也就自然画出来了啊

谢谢哈~

看一下

下来看看

学习一下

看看吧

看看e:matlab画准直透镜曲线？

程序如下： K*:Im#Q  
% By Ruibin 08-9-25 GZ,j?@  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 'tSnH&c  
v?{vg?vI  
clear all;clc ZmP1C`>  
vC-[#]<  
% The Frist Step: Define independent parameters Crg#6k1~EN  
r=3.25;               %选择开孔半径 R05T5Q1]A  
R=4.25;               %定义曲面底部半径 PbQE{&D#  
d=1;                  %设置透镜前方平板高度 *V<)p%l.  
n=1.4935;             %定义材料折射率 GJ>ypEWo  
dividing_angle=24;    %定义Core与TIR的分界角 !,R  
min_angle=1;          %设置计算精度 9<w=),R`8  
N=4;                  %设定拟合非球面系数阶数 kp.|gzA6  
F*. /D~K  
% The Second Step：Caculate induced variable Es:5yX!  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); wH!}qz/  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); c%b\CP\)W  
for i=1:(num_Core) V"BVvSNu  
a_Core(i)=(angles_Core(i)*pi/180); JkJhfFV  
k1(i)=cot(a_Core(i)); \Qp}|n1JY  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); QdirE4W  
end E4hq}  
k1(num_Core)=999;k2(num_Core)=0; '%:5axg?]  
for i=1:num_TIR O2$!'!hz  
a_TIR(i)=(angles_TIR(i)*pi/180); '&/(oJ;O~  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); )v};C<  
k4(i)=tan(asin(cos(a_TIR(i))/n)); Ag<4r  
end M$#+W?m&  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); KZi+j#7O  
v F]  
% The Third Step:Solve functions Fz{o-4  
for i=1:num_Core                    %Solve the curve of Core s^obJl3
 
syms x; Hc>([?P%t  
f1=k1(i)*x; +$'e4EwqV  
f2=k2(i)*(x-X0_Core)+Y0_Core; ^sJ1 ^
LT  
f=f1-f2; E8+8{ #f;  
x=double(solve(f));y=k1(i)*x; fO0-N>W'P  
X0_Core=x;Y0_Core=y; FU^Y{sbDg  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; #T Z!#,q  
end ST#PMb'izn  
for i=1:num_TIR                      %Solve the curve of TIR HH+TjX/b  
syms x; 7jh
l0  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; nIG[{gGX  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); |WQD=J%~(  
f=f1-f2; W5T
qC  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 0qOM78rE  
X0_TIR=x;Y0_TIR=y; }`#j;H$i  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; "MW55OWYU  
end K@I+]5E%?  
><MGZ?-N  
% The furth Step:Fitting the curve \%Pma8&d  
P_Core=polyfit(Px_Core,Py_Core,4); o@Dk%LxP  
P_TIR=polyfit(Px_TIR,Py_TIR,4); F>p%2II/  
AsV8k_qZL  
% The fifth Step:Feedback chief dimensions of the lens and Create it y>?k<)nA{  
%Feedback dimensions of the whole lens ]eY Qio!  
result='透镜尺寸如下：' jc3ExOH  
Diameter_of_lens=2*Px_TIR(num_TIR) h\Z3yAYd  
Thickness_of_lens=Py_TIR(num_TIR)+d (M4]#5  
Diameter_of_Core=2*r .0rJIO  
Thickness_of_front_pannel=d r7zf+a]  
Bottom_thickness=R-r 9t,aT!f  
Lowest_Core=P_Core(5) rjfc.l#v  
lv*Wnn@k  
%Feedback dimensions of Lens part TIR N;%j#(v j  
result='TIR系数如下：' dP$y>%cB  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d tW'qO:y+  
Aperture=Px_TIR(num_TIR) 8Ng))7g!  
Obstruction=r %w;1*~bH  
Position=P_TIR(5) =f/avGX  
format short e; C6Um6X9/i  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] @Z"QA!OK~c  
format short; 4
yJ01s  
E;ndw/GZjR  
%DDE Connection ?14X8Mb8W_  
TP_COMMAND = ddeinit('TracePro','Scheme'); \z(>h&  
%Create TIR {'cs![U  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; "i;*\+x  
ddeexec(TP_COMMAND,cmd); zW|$x<M^  
cmd =['(entity:move TIR 0 0 -2.3712)']; h5h-}qBA  
ddeexec(TP_COMMAND,cmd); aTmX!!  
cmd =['(property:apply-name TIR "TIR")']; ?)i6:76(  
ddeexec(TP_COMMAND,cmd); 3/]f4D{MMY  
DR#3njjEC  
%Feedback dimensions of Lens part TIR sIP6GWK$  
result='Core系数如下：' 9&?tQ"@x  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 7!]k#|u  
Aperture=r &q kl*#]  
Obstruction='None' dA3`b*nC  
Position=P_Core(5) L>|A6S#y8/  
format short e; zwF7DnW<<  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] &k {t0>  
format short; /0'fcjOaQ  
%Create Core J\,@Bm|1n{  
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)))']; t/4/G']W  
ddeexec(TP_COMMAND,cmd); 9 u6 g  
cmd =['(entity:move Core 0 0 5.9493)']; -0[>}!l=G  
ddeexec(TP_COMMAND,cmd); c;A ew!  
cmd =['(property:apply-name Core "Core")']; (]GY.(F{  
ddeexec(TP_COMMAND,cmd); av$\@4I  
 Wl}G[>P  
%Create Lens dvH67 x  
cmd =['(define Unite (bool:unite TIR Core))']; vM$#m1L?  
ddeexec(TP_COMMAND,cmd); mAtG&my)  
cmd =['(define block (insert:block 100 100 100))']; o F,R@f  
ddeexec(TP_COMMAND,cmd); "@):
*3 4  
cmd =['(entity:move block 0 0 -50)']; Lt ZWs0l0  
ddeexec(TP_COMMAND,cmd); w^vK7Z 1$  
cmd =['(define Lens (bool:subtract Unite block))']; `jl. f  
ddeexec(TP_COMMAND,cmd); }T&;*ww  
cmd =['(property:apply-name Lens "Lens")']; 'SXpb?CZ  
ddeexec(TP_COMMAND,cmd); ,& {5,=  
4%W
n}@  
%Close the DDE connection u+"hr"}${  
ddeterm(TP_COMMAND); Y?q*hS0!H  

学习学习