[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： QX'qyojxN  
% By Ruibin 08-9-25 );&:9[b_  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Vb]=B~^`  
8>in_h9  
clear all;clc K^<BW
(s  
N~zdWnSZ@G  
% The Frist Step: Define independent parameters 0[?Xxk}s0  
r=3.25;               %选择开孔半径 fSvM(3Y<Qh  
R=4.25;               %定义曲面底部半径 dE{dZ#Jfi  
d=1;                  %设置透镜前方平板高度 )cMh0SGcM1  
n=1.4935;             %定义材料折射率 _TQj
~W<  
dividing_angle=24;    %定义Core与TIR的分界角 )W _v:?A9  
min_angle=1;          %设置计算精度 Iom'Y@x  
N=4;                  %设定拟合非球面系数阶数 +E(L\  
-ifFbT+x  
% The Second Step：Caculate induced variable <FkFs{(t  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); XrGglBIV  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); p}pjfG  
for i=1:(num_Core) HJ[cM6$2  
a_Core(i)=(angles_Core(i)*pi/180); XW)lDiJl  
k1(i)=cot(a_Core(i)); O23k:=Av  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ['tY4$L(  
end ^EQ<SCh  
k1(num_Core)=999;k2(num_Core)=0; y'nK>)WG4  
for i=1:num_TIR `%"\@<  
a_TIR(i)=(angles_TIR(i)*pi/180); q\4Xs$APq  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); XnMvKPerv'  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 9`X\6s  
end [uN? ~lp\%  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Ad9}9!<  
~t~k2^)|"  
% The Third Step:Solve functions fW1CFRHH  
for i=1:num_Core                    %Solve the curve of Core 3J|F?M"N7  
syms x; `MN4uC  
f1=k1(i)*x; V1`o%;j  
f2=k2(i)*(x-X0_Core)+Y0_Core; u?<%q!  
f=f1-f2; Ed df2;-.  
x=double(solve(f));y=k1(i)*x; &>W$6>@  
X0_Core=x;Y0_Core=y; sW'AjI  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Y0dEH^I  
end cj|80$cSA  
for i=1:num_TIR                      %Solve the curve of TIR W ]?G}Q;  
syms x; Eib5  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; a;qryUyG  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); +RMSA^  
f=f1-f2; SaAFz&WRl  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; .*S#aq4S  
X0_TIR=x;Y0_TIR=y; ub#a`  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Ru!iR#s)!  
end G+"t/?/  
N&+x+;Kx  
% The furth Step:Fitting the curve U175{N%3  
P_Core=polyfit(Px_Core,Py_Core,4); ;yLu R  
P_TIR=polyfit(Px_TIR,Py_TIR,4); p\tm:QWD;  
*-=(Q`3  
% The fifth Step:Feedback chief dimensions of the lens and Create it Zd}9O jz5  
%Feedback dimensions of the whole lens D4lG[qb  
result='透镜尺寸如下：' CR`Q#Yi  
Diameter_of_lens=2*Px_TIR(num_TIR) < #}5IQ5`Z  
Thickness_of_lens=Py_TIR(num_TIR)+d BB!THj69a6  
Diameter_of_Core=2*r z2_*%S@  
Thickness_of_front_pannel=d ~"&|W'he[  
Bottom_thickness=R-r {JO  
Lowest_Core=P_Core(5) #@9/g  
t~EPn.  
%Feedback dimensions of Lens part TIR Vvn
2 Ep  
result='TIR系数如下：' vrhT<+q  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d gx8ouOh  
Aperture=Px_TIR(num_TIR) t?x<g<PJ4  
Obstruction=r k}kQI~S9  
Position=P_TIR(5) ,j2Udn}  
format short e; fF$<7O)+]  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 0w\
zLU  
format short; ~Ei$nV  
Jr ,;>   
%DDE Connection XSe=s
HEI  
TP_COMMAND = ddeinit('TracePro','Scheme'); 6ryak!|[  
%Create TIR 'KS,'%  
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)))']; Yq0| J  
ddeexec(TP_COMMAND,cmd); iwZPpl";  
cmd =['(entity:move TIR 0 0 -2.3712)']; &Fzb6/  
ddeexec(TP_COMMAND,cmd); @uqd.Q  
cmd =['(property:apply-name TIR "TIR")']; I {S;L  
ddeexec(TP_COMMAND,cmd); h5{'Q$Erl  
<;eW=HT+uq  
%Feedback dimensions of Lens part TIR ?cBwPetp  
result='Core系数如下：' G~^r)fm_  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d SO|NaqWa  
Aperture=r \}u Y'F  
Obstruction='None' (lBCO?`fx  
Position=P_Core(5) LEbB(x;@  
format short e; N ,'GN[s  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] g|DF[  
format short; d6?j`~[7#-  
%Create Core 8rnwXPBN  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; W7R<%?  
ddeexec(TP_COMMAND,cmd); k$z_:X  
cmd =['(entity:move Core 0 0 5.9493)']; <y2U3;t  
ddeexec(TP_COMMAND,cmd); fnjPSts0  
cmd =['(property:apply-name Core "Core")']; IXMop7~  
ddeexec(TP_COMMAND,cmd); VuhGx:Xl  
?K$(817  
%Create Lens #l\=}#\1Wb  
cmd =['(define Unite (bool:unite TIR Core))']; U2tV4_ e  
ddeexec(TP_COMMAND,cmd); 1y4|{7bb  
cmd =['(define block (insert:block 100 100 100))']; )0.kv2o.  
ddeexec(TP_COMMAND,cmd); ajbA\/\G;  
cmd =['(entity:move block 0 0 -50)']; 5Md=-,'J!  
ddeexec(TP_COMMAND,cmd); fIx+ILs  
cmd =['(define Lens (bool:subtract Unite block))']; 9N#_(uwt  
ddeexec(TP_COMMAND,cmd); fa jGZyd0:  
cmd =['(property:apply-name Lens "Lens")']; >a!/QMh  
ddeexec(TP_COMMAND,cmd); Z, zWuE3  
:[p}  
%Close the DDE connection vjbASFF0=  
ddeterm(TP_COMMAND); ,8S/t+H  

学习学习