[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： iDJ2dM}v  
% By Ruibin 08-9-25 (H^o8J   
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Bw[VK7  
+=4b5*+qG  
clear all;clc 2ra4t]f6  
RPwSo.c4
 
% The Frist Step: Define independent parameters iL<O|'be  
r=3.25;               %选择开孔半径 L4%LE/t|e  
R=4.25;               %定义曲面底部半径 o~p^`5#  
d=1;                  %设置透镜前方平板高度 Gx($q;8  
n=1.4935;             %定义材料折射率 uyIA]OtyN  
dividing_angle=24;    %定义Core与TIR的分界角 /8T{bJ5  
min_angle=1;          %设置计算精度 ww,'n{_  
N=4;                  %设定拟合非球面系数阶数 g>f394j  
r9[J3t*({~  
% The Second Step：Caculate induced variable zT"#9"["  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); S0cO00_ob  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); tTal<4  
for i=1:(num_Core) M*%Z5,Tc  
a_Core(i)=(angles_Core(i)*pi/180); Lq.k?!D3uh  
k1(i)=cot(a_Core(i)); PX]v"xf  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); r>\.b{wI  
end qS>el3G  
k1(num_Core)=999;k2(num_Core)=0; Zlhr0itf  
for i=1:num_TIR '1<QK  
a_TIR(i)=(angles_TIR(i)*pi/180); /<~IKVz\&  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); /DCUwg=0  
k4(i)=tan(asin(cos(a_TIR(i))/n)); }<p%PyM  
end &CgD smJo#  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); `KN{0<Ne  

q_bB/   
% The Third Step:Solve functions fy5)Tih%.*  
for i=1:num_Core                    %Solve the curve of Core nm..$QL  
syms x; Rd/!CJ@g  
f1=k1(i)*x; S3
w? X  
f2=k2(i)*(x-X0_Core)+Y0_Core; +}]xuYzo
 
f=f1-f2; uP:'e8  
x=double(solve(f));y=k1(i)*x; gueCP+a_  
X0_Core=x;Y0_Core=y; A]1](VQ)4  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Flsf5 Tr0  
end &LE/hA  
for i=1:num_TIR                      %Solve the curve of TIR uP.3(n[&  
syms x; :B im`mHl  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ?]S*=6  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); MFrVGEQBRL  
f=f1-f2; t$b`Am  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ? T9-FGW  
X0_TIR=x;Y0_TIR=y; /KkUCq2A  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Y&nY]VV  
end Wuk
D|BCC  
c;VW>&,B  
% The furth Step:Fitting the curve gwyz)CUkL  
P_Core=polyfit(Px_Core,Py_Core,4); U:H*b{`TU  
P_TIR=polyfit(Px_TIR,Py_TIR,4); h8Gp>b  
N]3XDd|q  
% The fifth Step:Feedback chief dimensions of the lens and Create it YC{od5a  
%Feedback dimensions of the whole lens #H|]F86(  
result='透镜尺寸如下：' ^c*'O0y[D  
Diameter_of_lens=2*Px_TIR(num_TIR) OvkYzI`  
Thickness_of_lens=Py_TIR(num_TIR)+d k
AMt8  
Diameter_of_Core=2*r B--`=@IRf"  
Thickness_of_front_pannel=d \7RP6o  
Bottom_thickness=R-r wNn6".S   
Lowest_Core=P_Core(5) (c;$^xZK  
>Gkkr{s9  
%Feedback dimensions of Lens part TIR Re`= B  
result='TIR系数如下：' [dL#0~CL$  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d AyddkjX  
Aperture=Px_TIR(num_TIR) ~e|~c<!z8@  
Obstruction=r gq
E{  
Position=P_TIR(5) N7XRk=J  
format short e; m6s32??m  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] JHcC}+H[  
format short; b1-JnEc  
h<[o;E  
%DDE Connection UPH:$Fk&  
TP_COMMAND = ddeinit('TracePro','Scheme'); 7P=j2;7 v  
%Create TIR X=lOwPvP  
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)))']; IYd)Vv3'j  
ddeexec(TP_COMMAND,cmd); )!'SSVaRs  
cmd =['(entity:move TIR 0 0 -2.3712)']; VK8 5A  
ddeexec(TP_COMMAND,cmd); 13Q|p,^R  
cmd =['(property:apply-name TIR "TIR")']; zUeS7\(l  
ddeexec(TP_COMMAND,cmd); ~Os~pTo  
QHOem=B  
%Feedback dimensions of Lens part TIR P7Kp*He)  
result='Core系数如下：' C]82Mt  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ^J?I-LG  
Aperture=r M%Ov6u<I8  
Obstruction='None' bX8Bn0#a+  
Position=P_Core(5) 3eD#[jkAI;  
format short e; v*kTTaU&  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 'F1NBL  
format short; UW!!!  
%Create Core .7" f~%&oP  
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)))']; \xwE4K  
ddeexec(TP_COMMAND,cmd); 9 u{#S}c`  
cmd =['(entity:move Core 0 0 5.9493)']; :Fm)<VN"  
ddeexec(TP_COMMAND,cmd); z>~Hc8*]3  
cmd =['(property:apply-name Core "Core")']; :`25@<*u  
ddeexec(TP_COMMAND,cmd); G}d@^9FkE  
K[O'@v  
%Create Lens vk&C'&uV9@  
cmd =['(define Unite (bool:unite TIR Core))']; b k 30d  
ddeexec(TP_COMMAND,cmd); ULj'DzlfH  
cmd =['(define block (insert:block 100 100 100))']; ex1bjM7  
ddeexec(TP_COMMAND,cmd); GHfsq|*j,Z  
cmd =['(entity:move block 0 0 -50)']; Qn_*(CSp  
ddeexec(TP_COMMAND,cmd); f3h^R20qmO  
cmd =['(define Lens (bool:subtract Unite block))']; F.zn:yX5  
ddeexec(TP_COMMAND,cmd); d?S7E q9`  
cmd =['(property:apply-name Lens "Lens")']; 4g
zrxV  
ddeexec(TP_COMMAND,cmd); W&qE_r  
Vv#|%^0  
%Close the DDE connection WbB0{s  
ddeterm(TP_COMMAND); B/7
c`V  

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