[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： S@!_{da  
% By Ruibin 08-9-25 w:nH_x#C4  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. g?|Z/eVJ  
>`3F`@1L0  
clear all;clc ez9F!1  
y$nI?:d  
% The Frist Step: Define independent parameters ewT K2  
r=3.25;               %选择开孔半径
8.jf6 
 
R=4.25;               %定义曲面底部半径 H!0m8LCnb  
d=1;                  %设置透镜前方平板高度 1p5'.~J+Q  
n=1.4935;             %定义材料折射率 J~J+CGT~2  
dividing_angle=24;    %定义Core与TIR的分界角 Z  #  
min_angle=1;          %设置计算精度 4$, W\d  
N=4;                  %设定拟合非球面系数阶数 1P"{TMd?  
Fs~*-R$  
% The Second Step：Caculate induced variable FZ%h7Oe  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); !wUznyYwt  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ugXDnM[S%  
for i=1:(num_Core) CAviP61T  
a_Core(i)=(angles_Core(i)*pi/180); UAz^P6iQ`~  
k1(i)=cot(a_Core(i)); d 4tL  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); %'g)MK!e  
end |J`v w  
k1(num_Core)=999;k2(num_Core)=0; DazoY&AWE  
for i=1:num_TIR I
74Rw*fB  
a_TIR(i)=(angles_TIR(i)*pi/180); <sm"3qs"_  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); hC8WRxEGq  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 'Q=)-  
end R+ \%  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ^HR8.9^[1u  
"y*3p0E  
% The Third Step:Solve functions ID`C  
for i=1:num_Core                    %Solve the curve of Core f U=P$s  
syms x; OO?N)I
B@  
f1=k1(i)*x; xx1lEcj  
f2=k2(i)*(x-X0_Core)+Y0_Core; M`q|GY  
f=f1-f2; nu+^D$ait  
x=double(solve(f));y=k1(i)*x; ]=ApYg7!  
X0_Core=x;Y0_Core=y; Xu~N97\G  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 0+qC_ISns  
end H-&27?s^  
for i=1:num_TIR                      %Solve the curve of TIR 3QZm *. /"  
syms x; 9XQE5^  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; p*g)-/mA  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); p{_*<"cfYn  
f=f1-f2; A{-S )Z3}  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; gi/k#3_m  
X0_TIR=x;Y0_TIR=y; iex%$> "  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; x ~)~v?>T  
end aY,Bt
 
|uz<)  
% The furth Step:Fitting the curve toDi70o  
P_Core=polyfit(Px_Core,Py_Core,4); Ap?,y?  
P_TIR=polyfit(Px_TIR,Py_TIR,4); '{~[e**  
gQSVPbzK  
% The fifth Step:Feedback chief dimensions of the lens and Create it k ?6d\Q  
%Feedback dimensions of the whole lens 5*A5Y E-  
result='透镜尺寸如下：' /d6Rdl`w  
Diameter_of_lens=2*Px_TIR(num_TIR) z__t8yc3  
Thickness_of_lens=Py_TIR(num_TIR)+d aqqo>O3 s  
Diameter_of_Core=2*r C4PT(cezR  
Thickness_of_front_pannel=d *szs"mQ/  
Bottom_thickness=R-r k kD#Bb  
Lowest_Core=P_Core(5) x.t&NP^V)  
Md>C!c  
%Feedback dimensions of Lens part TIR j+-`P5  
result='TIR系数如下：' WzR)R
9x]  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d v4E=)?  
Aperture=Px_TIR(num_TIR) cs\=8_
5  
Obstruction=r 03|nP$g  
Position=P_TIR(5) %=
2sz>M+  
format short e; n7~3~i`D;  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] |Fze9kZO  
format short; YwY?tOxBe  
9&zR i  
%DDE Connection >*O5Ry:4  
TP_COMMAND = ddeinit('TracePro','Scheme'); ;c]O*\/  
%Create TIR a]P%Y.?r  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; 8Vn  
ddeexec(TP_COMMAND,cmd); 1TA!9cz0Z  
cmd =['(entity:move TIR 0 0 -2.3712)']; W!.FnM5x  
ddeexec(TP_COMMAND,cmd); QaEiPn~  
cmd =['(property:apply-name TIR "TIR")']; I*o6Bn |D  
ddeexec(TP_COMMAND,cmd); ]Z\W%'q+  
ND?
"1/s  
%Feedback dimensions of Lens part TIR Z)~?foe'  
result='Core系数如下：' 6A5.n?B{  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d :+QNN<  
Aperture=r |
zfFB7}v  
Obstruction='None' yp=sL' E  
Position=P_Core(5) ?(B}w*G~  
format short e; I+kL;YdS  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] cf>lY  
format short; 2<n18-|OQ  
%Create Core "8zMe L  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; kzUj)  
ddeexec(TP_COMMAND,cmd); n{<@-6  
cmd =['(entity:move Core 0 0 5.9493)']; S{2;PaK  
ddeexec(TP_COMMAND,cmd); NW0se DL  
cmd =['(property:apply-name Core "Core")']; ":/Vp
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ddeexec(TP_COMMAND,cmd); 3HP { a  
H*0g*(  
%Create Lens HES$.a  
cmd =['(define Unite (bool:unite TIR Core))']; 6.45^'t]  
ddeexec(TP_COMMAND,cmd); t'W6Fmwkx  
cmd =['(define block (insert:block 100 100 100))']; )q4n
yT>M  
ddeexec(TP_COMMAND,cmd); bL0]Yuh  
cmd =['(entity:move block 0 0 -50)']; ]P7gEBi  
ddeexec(TP_COMMAND,cmd); 5Y`4%*$  
cmd =['(define Lens (bool:subtract Unite block))']; +U,t*U4,  
ddeexec(TP_COMMAND,cmd); Ym]g0a  
cmd =['(property:apply-name Lens "Lens")']; hV`?, ~K  
ddeexec(TP_COMMAND,cmd); 0]DX KI  
k)F!gV#  
%Close the DDE connection q\!"FDOl4  
ddeterm(TP_COMMAND); `'r]Oe  

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