[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： @JVax-N  
% By Ruibin 08-9-25 T|`nw_0  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. fx2r\ usX[  
PB*mD7"  
clear all;clc Dp4\rp
s  
3QM6M9M  
% The Frist Step: Define independent parameters Xn^gxOPM  
r=3.25;               %选择开孔半径 ,r!_
4|\  
R=4.25;               %定义曲面底部半径 #u`i4  
d=1;                  %设置透镜前方平板高度
>/k[6r5  
n=1.4935;             %定义材料折射率 & F\HR  
dividing_angle=24;    %定义Core与TIR的分界角 NPF"_[RoeV  
min_angle=1;          %设置计算精度 p3>p1tC  
N=4;                  %设定拟合非球面系数阶数 `2Rd=M]?  
=S7Xj`/  
% The Second Step：Caculate induced variable H5j6$y|I|N  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); E-\Wo3  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ")LcB'C  
for i=1:(num_Core) bim}{wMb  
a_Core(i)=(angles_Core(i)*pi/180); /@-!JF#g  
k1(i)=cot(a_Core(i)); Q]wM WV  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); xsn2Qn/P  
end h3U| ~h  
k1(num_Core)=999;k2(num_Core)=0; IGqg,OEAp  
for i=1:num_TIR 1\K%^<QY  
a_TIR(i)=(angles_TIR(i)*pi/180); =0!PnBGYn  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 6V)P4ao  
k4(i)=tan(asin(cos(a_TIR(i))/n)); <WhdQKFf-  
end eK
[8$1  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); n?'I&0>M  
;zk& 7P0  
% The Third Step:Solve functions C.`C T7  
for i=1:num_Core                    %Solve the curve of Core IJ >qs8  
syms x; M,nX@8 _h  
f1=k1(i)*x; 3VNYDY`>  
f2=k2(i)*(x-X0_Core)+Y0_Core; d^AXhQjQN-  
f=f1-f2; mX2i^.zH  
x=double(solve(f));y=k1(i)*x; s?r:McF`  
X0_Core=x;Y0_Core=y; b?S,%  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; eW%Cef  
end i
[,9hp  
for i=1:num_TIR                      %Solve the curve of TIR jFS])",\i  
syms x; ,=!_7'm
 
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Uj]Tdg  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 2ZUI~:U Z  
f=f1-f2; rD^ b{]E3  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; V?pqKQL0  
X0_TIR=x;Y0_TIR=y; zY_?$9l0  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ,i0Dw"/u  
end ~^Ceru"<  
^\o3V<  
% The furth Step:Fitting the curve cP8g.+  
P_Core=polyfit(Px_Core,Py_Core,4); APye  
P_TIR=polyfit(Px_TIR,Py_TIR,4); R#QOG}  
s}3g+T\l1w  
% The fifth Step:Feedback chief dimensions of the lens and Create it vZhC_G+tGd  
%Feedback dimensions of the whole lens MPaF  
result='透镜尺寸如下：' Fl8*dXG&  
Diameter_of_lens=2*Px_TIR(num_TIR) S)`%clN}J  
Thickness_of_lens=Py_TIR(num_TIR)+d xLX2F  
Diameter_of_Core=2*r \mGx-g6  
Thickness_of_front_pannel=d aYy+iP'$  
Bottom_thickness=R-r ?x
kw~3Yfi  
Lowest_Core=P_Core(5) 5pC+*n.  
@-B)a Z  
%Feedback dimensions of Lens part TIR ]{sx#|_S  
result='TIR系数如下：' }J_"/bB  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 04o>POR  
Aperture=Px_TIR(num_TIR) ]Q8[,HTG  
Obstruction=r Ddu1>"p-x  
Position=P_TIR(5) d`eX_]Z  
format short e; irZMgRQAT  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] w^BF.Nu  
format short; &oJ1v<`  
R%%Uw %`  
%DDE Connection 19#s:nt9  
TP_COMMAND = ddeinit('TracePro','Scheme'); '.{tE*  
%Create TIR p"'knZG  
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)))']; EU5^"\  
ddeexec(TP_COMMAND,cmd); ?ZF~U  
cmd =['(entity:move TIR 0 0 -2.3712)']; Qk5pRoL_  
ddeexec(TP_COMMAND,cmd); :r+BL@9  
cmd =['(property:apply-name TIR "TIR")']; FGRdA^`  
ddeexec(TP_COMMAND,cmd); 6VUkZKc  
@XJzM]*w&  
%Feedback dimensions of Lens part TIR ]S2F9  
result='Core系数如下：' qpt},yn)C  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ;#)vw;XR  
Aperture=r )I{~Pcq  
Obstruction='None' s@$SM,tnn  
Position=P_Core(5) fo$s9g^<  
format short e; -f&m4J} E  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] +hZ{/  
format short; S' <X)  
%Create Core @r130eLh  
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)))']; #q
nK nxD  
ddeexec(TP_COMMAND,cmd); k00&+C  
cmd =['(entity:move Core 0 0 5.9493)']; \Bvy~UeE)>  
ddeexec(TP_COMMAND,cmd); eV5 e:9  
cmd =['(property:apply-name Core "Core")']; N{}o*K  
ddeexec(TP_COMMAND,cmd); /:=,mWoO  
<(E9U.  
%Create Lens }+/F?_I= %  
cmd =['(define Unite (bool:unite TIR Core))']; =".sCV9"N  
ddeexec(TP_COMMAND,cmd); 7*MjQzg-P  
cmd =['(define block (insert:block 100 100 100))']; eaWK2%v  
ddeexec(TP_COMMAND,cmd); )k~{p;Ke  
cmd =['(entity:move block 0 0 -50)']; 6Zx'$F.iqK  
ddeexec(TP_COMMAND,cmd); c,,(s{1  
cmd =['(define Lens (bool:subtract Unite block))']; ^1\[hyZ!  
ddeexec(TP_COMMAND,cmd); LLV1W0VO=P  
cmd =['(property:apply-name Lens "Lens")']; K%@#a}kRb  
ddeexec(TP_COMMAND,cmd); T/Bx3VWL  
S=zW wo$  
%Close the DDE connection M>rertUR  
ddeterm(TP_COMMAND); Xw'Y &!z  

学习学习