[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： NPc@;g]d"  
% By Ruibin 08-9-25 cP8g.+  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ktE~)G  
.T;:6/??1  
clear all;clc [{R^!Az&b<  
r:rM~``  
% The Frist Step: Define independent parameters |AD"}8  
r=3.25;               %选择开孔半径 <K6gzi0fl  
R=4.25;               %定义曲面底部半径 (.r9bl  
d=1;                  %设置透镜前方平板高度 Y 1v9sMN,  
n=1.4935;             %定义材料折射率 l=+hs  
dividing_angle=24;    %定义Core与TIR的分界角 N>a. dYXr  
min_angle=1;          %设置计算精度 {nQ?+o3  
N=4;                  %设定拟合非球面系数阶数 OGA_3|[S  
NJ%>|`FEi7  
% The Second Step：Caculate induced variable mV~aZM0'  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); $qndG,([F  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); M{(g"ha  
for i=1:(num_Core) 'c]Fhe fb  
a_Core(i)=(angles_Core(i)*pi/180); 4\?z^^  
k1(i)=cot(a_Core(i)); hD)'bd  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); {Sl#z}@s  
end 7\;4 d4u  
k1(num_Core)=999;k2(num_Core)=0; VK)vb.:  
for i=1:num_TIR Hsdcv~Xr;l  
a_TIR(i)=(angles_TIR(i)*pi/180); D5Z@6RVt  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); oh^/)2W  
k4(i)=tan(asin(cos(a_TIR(i))/n)); GvB;o^Wd  
end 8D]&wBR:  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); )s-[d_g  
0eMO`8u[A  
% The Third Step:Solve functions d+m}Z>iQ1O  
for i=1:num_Core                    %Solve the curve of Core 6VUkZKc  
syms x; Q
 L 1e  
f1=k1(i)*x; $V/Hr/0  
f2=k2(i)*(x-X0_Core)+Y0_Core; e9\eh? bPU  
f=f1-f2; iNO}</7?  
x=double(solve(f));y=k1(i)*x; fpPB_P{Ua  
X0_Core=x;Y0_Core=y; D(X:dB50@  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; $c1zMkY)u  
end 4lp90sa  
for i=1:num_TIR                      %Solve the curve of TIR 7M.TLV!f]  
syms x; r$Tu``z \  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; d~QZcR  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); l b9O  
f=f1-f2; #q
nK nxD  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 7=wPd4  
X0_TIR=x;Y0_TIR=y; q2{Aq[  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; vB?(|  
end ev
Qk,;pIm  
<V b SEi  
% The furth Step:Fitting the curve <(E9U.  
P_Core=polyfit(Px_Core,Py_Core,4); }+/F?_I= %  
P_TIR=polyfit(Px_TIR,Py_TIR,4); =".sCV9"N  
7*MjQzg-P  
% The fifth Step:Feedback chief dimensions of the lens and Create it eaWK2%v  
%Feedback dimensions of the whole lens )k~{p;Ke  
result='透镜尺寸如下：' Tfytc$aQ  
Diameter_of_lens=2*Px_TIR(num_TIR) dxa[9>V  
Thickness_of_lens=Py_TIR(num_TIR)+d SB)Hz8<  
Diameter_of_Core=2*r s$3WJ'yr  
Thickness_of_front_pannel=d K%@#a}kRb  
Bottom_thickness=R-r T/Bx3VWL  
Lowest_Core=P_Core(5) S=zW wo$  
M>rertUR  
%Feedback dimensions of Lens part TIR Xw'Y &!z  
result='TIR系数如下：' JY0}#FtgV  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d Rq[VP#  
Aperture=Px_TIR(num_TIR) na`8ulN_  
Obstruction=r e_h`x+\:  
Position=P_TIR(5) JTS<n4<a  
format short e; y**>l{!!  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 3d;w\#?L;  
format short; @|;XDO`k;  
8h{;*Wr-  
%DDE Connection ;kLp}CqV  
TP_COMMAND = ddeinit('TracePro','Scheme'); Egm-PoPe  
%Create TIR =vD}O@tN  
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)))']; =rzhaU'A'  
ddeexec(TP_COMMAND,cmd); q6T>y%|FZ  
cmd =['(entity:move TIR 0 0 -2.3712)']; @~j--L  
ddeexec(TP_COMMAND,cmd); 'iikcf*)C  
cmd =['(property:apply-name TIR "TIR")']; cHw-;  
ddeexec(TP_COMMAND,cmd); JPmZ%]wA  
T,uVt^.R+  
%Feedback dimensions of Lens part TIR omZ bn  
result='Core系数如下：' }Zp5d7(@w  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Lv<)Dur0K  
Aperture=r 3IYbgUG  
Obstruction='None' PESJ7/
^E  
Position=P_Core(5) e)Pm{:E  
format short e; F m$;p6&j  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ,&aD U  
format short; 2`cVi"U  
%Create Core 'qlWDt/  
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)))']; z\6/?5D#
v  
ddeexec(TP_COMMAND,cmd); |7:{vA5  
cmd =['(entity:move Core 0 0 5.9493)']; gH[lpRu|7  
ddeexec(TP_COMMAND,cmd); 9 :FzSD   
cmd =['(property:apply-name Core "Core")']; 9 Xx4,#?  
ddeexec(TP_COMMAND,cmd); InfUH8./t  
JNSH'9!n6  
%Create Lens nH(Hk%~  
cmd =['(define Unite (bool:unite TIR Core))']; a^MR"i>@G  
ddeexec(TP_COMMAND,cmd); :}[[G2|9  
cmd =['(define block (insert:block 100 100 100))']; .ta*M{t  
ddeexec(TP_COMMAND,cmd); %q5iy0~P  
cmd =['(entity:move block 0 0 -50)']; QP[
`*X  
ddeexec(TP_COMMAND,cmd); 5:x .<  
cmd =['(define Lens (bool:subtract Unite block))']; t.]c44RY  
ddeexec(TP_COMMAND,cmd); % ovk}}%;  
cmd =['(property:apply-name Lens "Lens")']; 0ZpWfL  
ddeexec(TP_COMMAND,cmd); gA~faje  
f')3~)"  
%Close the DDE connection K}YOs.  
ddeterm(TP_COMMAND); u9^R ?y  

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