[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： 76'@}wNnw  
% By Ruibin 08-9-25 E:7R>.g  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. !PySYY  
\jR('5DcB  
clear all;clc JkfVsmc<{h  
Tr\6AN?o  
% The Frist Step: Define independent parameters (7zdbJX  
r=3.25;               %选择开孔半径 t%k1=Ow5i  
R=4.25;               %定义曲面底部半径 ?^X e^1(  
d=1;                  %设置透镜前方平板高度 jsp)e=  
n=1.4935;             %定义材料折射率 {p90  
dividing_angle=24;    %定义Core与TIR的分界角 &x mYpQ  
min_angle=1;          %设置计算精度 _x'?igy  
N=4;                  %设定拟合非球面系数阶数 BH;7CK=7R  
RX"~m!26  
% The Second Step：Caculate induced variable !dcGBj  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); g %e"KnU  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); U %,K8u|WH  
for i=1:(num_Core) 1s"/R  
a_Core(i)=(angles_Core(i)*pi/180); q8=hUD%5C  
k1(i)=cot(a_Core(i)); >}I BPC  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); *LA2@9l  
end USDqh437  
k1(num_Core)=999;k2(num_Core)=0; qX_( M2oLU  
for i=1:num_TIR o$XJSz|6  
a_TIR(i)=(angles_TIR(i)*pi/180); #P,C9OQD  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); jI%g!  
k4(i)=tan(asin(cos(a_TIR(i))/n)); :~PzTUz  
end '#*5jn]CqB  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 6xC$R q  
<\6<-x(H5  
% The Third Step:Solve functions 3W#f Fy  
for i=1:num_Core                    %Solve the curve of Core =7l'3z8  
syms x; 4
Yx\U  
f1=k1(i)*x; ajJ+Jn\  
f2=k2(i)*(x-X0_Core)+Y0_Core; p$+.]  
f=f1-f2; 7O\sQ]i6  
x=double(solve(f));y=k1(i)*x; -ge :y2R_w  
X0_Core=x;Y0_Core=y; PKK18E}{%^  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ]ysEj3  
end zEJZ,<  
for i=1:num_TIR                      %Solve the curve of TIR 2cu?2_,  
syms x; ^?Y x{r~9  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; N5%Cwl6i  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); EWZ?q$  
f=f1-f2; ,bU8S\8  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 2sXNVo8`w"  
X0_TIR=x;Y0_TIR=y; &}."sGK  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; S+mM S  
end loR,f&80=O  
fEgwQ-]  
% The furth Step:Fitting the curve !o{>[  
P_Core=polyfit(Px_Core,Py_Core,4); 6$*\
%  
P_TIR=polyfit(Px_TIR,Py_TIR,4);  ]$=\zL  
gd=gc<zYP  
% The fifth Step:Feedback chief dimensions of the lens and Create it BJ$\Mb##3@  
%Feedback dimensions of the whole lens r,FPTf  
result='透镜尺寸如下：' aZBS!X  
Diameter_of_lens=2*Px_TIR(num_TIR) XqxmvN  
Thickness_of_lens=Py_TIR(num_TIR)+d J =j6rD  
Diameter_of_Core=2*r 5
p]Cwj<u  
Thickness_of_front_pannel=d KN\*|)  
Bottom_thickness=R-r tUXly|k  
Lowest_Core=P_Core(5) %7vjYvo>  
) Z^b)KAk  
%Feedback dimensions of Lens part TIR 'ai3f  
result='TIR系数如下：' BJ,D1E  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d s ~Xa=_+D  
Aperture=Px_TIR(num_TIR) k&dLg5O  
Obstruction=r U1,f$McZs  
Position=P_TIR(5) u}~jNV  
format short e; POl_chq  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 'Io2",~ M  
format short; A6faRi703  
A-GU:B  
%DDE Connection ~REP@!\r^  
TP_COMMAND = ddeinit('TracePro','Scheme'); TTQ(\l4  
%Create TIR D&C83^m  
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)))']; 1v2pPUH\  
ddeexec(TP_COMMAND,cmd); 4n9c  
cmd =['(entity:move TIR 0 0 -2.3712)']; ?VCM@{9  
ddeexec(TP_COMMAND,cmd); ]\ DIJ>JZ  
cmd =['(property:apply-name TIR "TIR")']; NBaXfWh  
ddeexec(TP_COMMAND,cmd); jph"94  
8F(Vd99I  
%Feedback dimensions of Lens part TIR YuVg/ '=  
result='Core系数如下：' FM=-^l,  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d zh60b{  
Aperture=r A!bH0=<I  
Obstruction='None' 4w<4\zT_U}  
Position=P_Core(5) TLWU7aj&!  
format short e; 1nAAs;`'  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 16Gp nb  
format short; x+;"(]#  
%Create Core 2nsW)bd  
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)))'];  ~d\>f  
ddeexec(TP_COMMAND,cmd); 3^x C
=++  
cmd =['(entity:move Core 0 0 5.9493)']; JA(M'&q4  
ddeexec(TP_COMMAND,cmd); *$/!.e  
cmd =['(property:apply-name Core "Core")'];
oD?c]}3  
ddeexec(TP_COMMAND,cmd); lAZn0EU  
cE SSSH!m  
%Create Lens Sn~h[s_(  
cmd =['(define Unite (bool:unite TIR Core))']; 2Ysl|xRo  
ddeexec(TP_COMMAND,cmd); Q/u1$&1  
cmd =['(define block (insert:block 100 100 100))']; tIJ?caX5=  
ddeexec(TP_COMMAND,cmd); XaH%i~}3  
cmd =['(entity:move block 0 0 -50)']; XI8rU)q  
ddeexec(TP_COMMAND,cmd); +w(>UBy-  
cmd =['(define Lens (bool:subtract Unite block))']; blHJhB&8  
ddeexec(TP_COMMAND,cmd); i<>zN^zn  
cmd =['(property:apply-name Lens "Lens")']; ;VlA~tv  
ddeexec(TP_COMMAND,cmd); $EUlh^  
SRfnT?u6  
%Close the DDE connection 530Z>q  
ddeterm(TP_COMMAND); b
8$(j2B~  

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