[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： >goAf`sqo  
% By Ruibin 08-9-25 gP"Mu#/D  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. M KE[Yb?  
e^K=8IW  
clear all;clc iJ~iJ'vf  
B3i=pcef  
% The Frist Step: Define independent parameters ;L/T}!Dx  
r=3.25;               %选择开孔半径 1OJD\wc  
R=4.25;               %定义曲面底部半径 [pyXX>:M  
d=1;                  %设置透镜前方平板高度 Ts?>"@  
n=1.4935;             %定义材料折射率 !&:.Uh  
dividing_angle=24;    %定义Core与TIR的分界角 EJiF_  
min_angle=1;          %设置计算精度 :X'U`jE  
N=4;                  %设定拟合非球面系数阶数 ?R~Ye  
GCmVmOdKr  
% The Second Step：Caculate induced variable '$&(+>)z`  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); l2_E6U"  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); we@En .>f  
for i=1:(num_Core) 5;uX"zG  
a_Core(i)=(angles_Core(i)*pi/180); 2%, ' }Bus  
k1(i)=cot(a_Core(i)); 8`R}L  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); f0s<Y  
end K,T]Fuy  
k1(num_Core)=999;k2(num_Core)=0; 4~J1pcBno%  
for i=1:num_TIR [8(9.6f  
a_TIR(i)=(angles_TIR(i)*pi/180); rD)v%vvr&`  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); lKD<  
k4(i)=tan(asin(cos(a_TIR(i))/n)); bTYP{x~ y  
end \|4MU"
ri  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ;`Ch2b1+  
Q\th8/ /  
% The Third Step:Solve functions DT~y^h  
for i=1:num_Core                    %Solve the curve of Core %)@(Tye -  
syms x; Jd_1>p  
f1=k1(i)*x; qSs^}eN  
f2=k2(i)*(x-X0_Core)+Y0_Core; LFry?HO,D  
f=f1-f2; KPvYq?F>4  
x=double(solve(f));y=k1(i)*x; i /U{dzZ  
X0_Core=x;Y0_Core=y; Zvw3C%In  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; /bj`%Q.n  
end ,lGwW8$R  
for i=1:num_TIR                      %Solve the curve of TIR rnrx%
Q  
syms x;
#1lS\!  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; #~qp8 w  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); i: uA&9  
f=f1-f2; r}M4()9L  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; SYhspB  
X0_TIR=x;Y0_TIR=y; u~Cqdr5 \l  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; S:T>oFUot  
end iPL'JVPZ  
].+G-<.:  
% The furth Step:Fitting the curve A>,fG9pR  
P_Core=polyfit(Px_Core,Py_Core,4); CAObC%  
P_TIR=polyfit(Px_TIR,Py_TIR,4); "f$A0RL  
?ew]i'9(  
% The fifth Step:Feedback chief dimensions of the lens and Create it tQ<2K*3]  
%Feedback dimensions of the whole lens ju6_L<  
result='透镜尺寸如下：' PqeQe5  
Diameter_of_lens=2*Px_TIR(num_TIR) X-^Oz@.>  
Thickness_of_lens=Py_TIR(num_TIR)+d ^mb*w)-p?  
Diameter_of_Core=2*r EjC
s  
Thickness_of_front_pannel=d 9W r(w  
Bottom_thickness=R-r !f2>6}hE  
Lowest_Core=P_Core(5) T1TZ+\  
r_CN/a  
%Feedback dimensions of Lens part TIR 3W WxpTU  
result='TIR系数如下：' g5'bUYsa  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d jWCC`0 T  
Aperture=Px_TIR(num_TIR) I>zn$d*0  
Obstruction=r im\W
s./  
Position=P_TIR(5) 6E&&0'm  
format short e; t`D@bzLC%  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] gVWLY;c 3}  
format short; 4vJIO{m  
c8W=Is`  
%DDE Connection |n%N'-el  
TP_COMMAND = ddeinit('TracePro','Scheme'); d'J?QH!N0  
%Create TIR _!vbX mb  
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)))']; OH~qJ<  
ddeexec(TP_COMMAND,cmd); =l_"M  
cmd =['(entity:move TIR 0 0 -2.3712)']; M:M<bz Vu  
ddeexec(TP_COMMAND,cmd); t;6/bT-  
cmd =['(property:apply-name TIR "TIR")']; =jHy6)6w  
ddeexec(TP_COMMAND,cmd); "61n?Z#,M[  
\'b-;exH  
%Feedback dimensions of Lens part TIR L zy|<:K+$  
result='Core系数如下：' 6g&nnA  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ,g.=vQm:?  
Aperture=r @~HD<K  
Obstruction='None' (]dZ+"O{  
Position=P_Core(5) zYJxoC{  
format short e; Fje%hcV  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 351'l7F\  
format short; }_TdXY #w\  
%Create Core `Nr7N#g+u  
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)))']; Fb-TCq1y#  
ddeexec(TP_COMMAND,cmd); } 4^UVdz  
cmd =['(entity:move Core 0 0 5.9493)']; osI(g'Xb  
ddeexec(TP_COMMAND,cmd); ,iy   
cmd =['(property:apply-name Core "Core")']; mK4A/bsE  
ddeexec(TP_COMMAND,cmd); w
xrT(x|  
jz0\F,s  
%Create Lens v}i}pQ\DK  
cmd =['(define Unite (bool:unite TIR Core))']; sP!qv"u  
ddeexec(TP_COMMAND,cmd); "yk%/:G+  
cmd =['(define block (insert:block 100 100 100))']; 4[wP$  
ddeexec(TP_COMMAND,cmd); Q0q$ZK6C  
cmd =['(entity:move block 0 0 -50)']; o~ed0>D-LS  
ddeexec(TP_COMMAND,cmd); =)LpMTz  
cmd =['(define Lens (bool:subtract Unite block))']; 
-t?G8,,  
ddeexec(TP_COMMAND,cmd); :gC2zv  
cmd =['(property:apply-name Lens "Lens")']; X'<xw  
ddeexec(TP_COMMAND,cmd); [5-5tipvWp  
}+1oD{  
%Close the DDE connection &B C#u.^!  
ddeterm(TP_COMMAND); ^DOcw@Z6HC  

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