[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： ]b<k%  
% By Ruibin 08-9-25 s bW`  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 8 s:sMU:Q  
l= !KZaH  
clear all;clc 0VsrAV0  
ybf`7KEP2A  
% The Frist Step: Define independent parameters $o1Gxz  
r=3.25;               %选择开孔半径 r"U$udwjg  
R=4.25;               %定义曲面底部半径 U#,2et6  
d=1;                  %设置透镜前方平板高度 0-4WLMx  
n=1.4935;             %定义材料折射率 tM]qR+  
dividing_angle=24;    %定义Core与TIR的分界角 RpS'Tz}  
min_angle=1;          %设置计算精度 jt-ayLq  
N=4;                  %设定拟合非球面系数阶数 eyl+D sK  
0=(5C\w2  
% The Second Step：Caculate induced variable [al$7R&  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ](-:l6  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); PGu6hV{  
for i=1:(num_Core) 7PP76$  
a_Core(i)=(angles_Core(i)*pi/180); /o![%&-l  
k1(i)=cot(a_Core(i)); kV6T#RVob  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ?OvtR:hC  
end eSywWSdf0  
k1(num_Core)=999;k2(num_Core)=0; CQzJ_aSJ(  
for i=1:num_TIR i>q]U:U  
a_TIR(i)=(angles_TIR(i)*pi/180); Kv!CL9^LX7  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); oXV  
k4(i)=tan(asin(cos(a_TIR(i))/n)); RNp3lXf O  
end >,A:zbs&  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 3@s|tm1  
FrB}2  
% The Third Step:Solve functions >K;p+( <6  
for i=1:num_Core                    %Solve the curve of Core #ra:^9;Es:  
syms x; srJ,Jr(  
f1=k1(i)*x; *)U=ZO6S  
f2=k2(i)*(x-X0_Core)+Y0_Core; &FIPEe#n  
f=f1-f2; GZ UDI#  
x=double(solve(f));y=k1(i)*x; LYkW2h`JQ  
X0_Core=x;Y0_Core=y; (?I8/KYR  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :kflq  
end Iz!Blk  
for i=1:num_TIR                      %Solve the curve of TIR N 0&h5  
syms x;  R.*KaCA  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; N6EH  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); .z7F58  
f=f1-f2; I%b, H`  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; #:w/vk  
X0_TIR=x;Y0_TIR=y; j!qO[CJJ  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; FSIV\ u  
end tlQ3BKp  
\O^b|0zc  
% The furth Step:Fitting the curve `8KWZi4 ]  
P_Core=polyfit(Px_Core,Py_Core,4); iAbtv^fn  
P_TIR=polyfit(Px_TIR,Py_TIR,4); +JB. EW/  
QOcB ]G  
% The fifth Step:Feedback chief dimensions of the lens and Create it y
7|x<Z  
%Feedback dimensions of the whole lens ?o"wyF A*  
result='透镜尺寸如下：' |u<qbl  
Diameter_of_lens=2*Px_TIR(num_TIR) j$n[;\]n  
Thickness_of_lens=Py_TIR(num_TIR)+d tB'F`HM:mq  
Diameter_of_Core=2*r \NDSpT<Z  
Thickness_of_front_pannel=d uK="#1z cC  
Bottom_thickness=R-r /4<eI3Z  
Lowest_Core=P_Core(5) kNMhMEez  
"+[
:\  
%Feedback dimensions of Lens part TIR .&TJSIx$  
result='TIR系数如下：' qi.|oL9p  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d x4pl#~Su  
Aperture=Px_TIR(num_TIR) wt? 8-_  
Obstruction=r ,[D
,G  
Position=P_TIR(5) L8Z[Ly+_  
format short e; w6'o<=  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] >w9fFm!Q  
format short; k 9R_27F  
!r,ZyJU  
%DDE Connection 6I.N:)=  
TP_COMMAND = ddeinit('TracePro','Scheme'); 68kxw1xY  
%Create TIR 5^t68 WOl  
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)))']; /Tv=BXL-  
ddeexec(TP_COMMAND,cmd); r3mB"("Z'  
cmd =['(entity:move TIR 0 0 -2.3712)']; MRZWfc  
ddeexec(TP_COMMAND,cmd); xV:.)Dq9  
cmd =['(property:apply-name TIR "TIR")']; fJtJ2xi  
ddeexec(TP_COMMAND,cmd); KN'l/9.  
`Yn^ -W  
%Feedback dimensions of Lens part TIR ,]w-!I  
result='Core系数如下：' f"~+mO  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d \5BI!<  
Aperture=r ;<1O86!  
Obstruction='None' >r2m1}6g"  
Position=P_Core(5) '""qMRCm  
format short e; k
Zs  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 5H1SC8+B,  
format short; 7]_UZ)u  
%Create Core v(3nBZHv_!  
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)))']; \7nlwFAO  
ddeexec(TP_COMMAND,cmd); Ka1
F7b  
cmd =['(entity:move Core 0 0 5.9493)']; i,NN"  
ddeexec(TP_COMMAND,cmd); %np
b.C|+  
cmd =['(property:apply-name Core "Core")']; LDN'o1$qo  
ddeexec(TP_COMMAND,cmd); 7 6~x|6)  
h6}oRz9=g  
%Create Lens pM9Hav@iWU  
cmd =['(define Unite (bool:unite TIR Core))']; xG 7;Ps4L  
ddeexec(TP_COMMAND,cmd); hun LV8z  
cmd =['(define block (insert:block 100 100 100))']; $g$~TuA w  
ddeexec(TP_COMMAND,cmd); 4f~CG r  
cmd =['(entity:move block 0 0 -50)']; Jvw~b\  
ddeexec(TP_COMMAND,cmd); Xw!eB?A  
cmd =['(define Lens (bool:subtract Unite block))']; DZ?>9W{  
ddeexec(TP_COMMAND,cmd); v)N8vFdd  
cmd =['(property:apply-name Lens "Lens")']; v_J\yW'K  
ddeexec(TP_COMMAND,cmd); 41>Bm*if  
1!/cd;{B  
%Close the DDE connection (k"|k  
ddeterm(TP_COMMAND); 0I* ^VGZ  

学习学习