[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： lPP7w`[PA  
% By Ruibin 08-9-25 07&S^ X^/  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. cl5:|)  
W=+ag<@  
clear all;clc F"I@=R-n  
I115Rp0  
% The Frist Step: Define independent parameters \!Pm^FD .  
r=3.25;               %选择开孔半径 nAOId90wue  
R=4.25;               %定义曲面底部半径 BZsxf'eN'  
d=1;                  %设置透镜前方平板高度 'UCL?$  
n=1.4935;             %定义材料折射率 )Q`<O  
dividing_angle=24;    %定义Core与TIR的分界角 `. Z".
  
min_angle=1;          %设置计算精度 jkd8M;Jw  
N=4;                  %设定拟合非球面系数阶数 E.brQx#}  
ygG9ht  
% The Second Step：Caculate induced variable 4}`MV.  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); j\<S6%p#R  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); +`xp+Q  
for i=1:(num_Core) R8_qZ;t:z  
a_Core(i)=(angles_Core(i)*pi/180); ?g2K&  
k1(i)=cot(a_Core(i)); 5sRNqTIr  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); L[efiiLh$  
end mJHX  
k1(num_Core)=999;k2(num_Core)=0; z Ey&%Ok  
for i=1:num_TIR )U?W+0[=  
a_TIR(i)=(angles_TIR(i)*pi/180); =W?c1EPLCx  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); a?dM8zAnc  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 08Gr  
end O`4X[r1LD  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Z2r\aZ-d`  
.x&>H  
% The Third Step:Solve functions )yJjJ:re  
for i=1:num_Core                    %Solve the curve of Core :Li)]qN.I  
syms x; 1JY4E2Q  
f1=k1(i)*x; 1'iRx,  
f2=k2(i)*(x-X0_Core)+Y0_Core; |?8wyP  
f=f1-f2; HD|5:fAqA  
x=double(solve(f));y=k1(i)*x; 1=>$c   
X0_Core=x;Y0_Core=y; (s*}=  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 9;jfg|x1[  
end Nz8iU@!a  
for i=1:num_TIR                      %Solve the curve of TIR .%o:kq@B  
syms x; fw5AZvE6$  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; gDH x+"?  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ??4QDa-  
f=f1-f2; X~0P+E#  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Wr;)3K  
X0_TIR=x;Y0_TIR=y; 6%? NNEM  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; K%;O$ >  
end $JOIK9+3z#  
n D?XP<9UU  
% The furth Step:Fitting the curve 0x84 Ah)  
P_Core=polyfit(Px_Core,Py_Core,4); *i|hcDk  
P_TIR=polyfit(Px_TIR,Py_TIR,4); jU=)4nx  
XHV+Y+VG  
% The fifth Step:Feedback chief dimensions of the lens and Create it WH!<Z=#c}  
%Feedback dimensions of the whole lens 3Xy>kG}  
result='透镜尺寸如下：' >Kxl+F  
Diameter_of_lens=2*Px_TIR(num_TIR) 9P]TIV.  
Thickness_of_lens=Py_TIR(num_TIR)+d X6PfOep  
Diameter_of_Core=2*r jRGG5w}  
Thickness_of_front_pannel=d ~"(1~7_  
Bottom_thickness=R-r wvfCj6}S&  
Lowest_Core=P_Core(5) .!&YO/  
:=* -x  
%Feedback dimensions of Lens part TIR $*tuv?  
result='TIR系数如下：' \.{?TB  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d HtMlSgx,8>  
Aperture=Px_TIR(num_TIR) F"LT\7yjyG  
Obstruction=r =w8*
n2  
Position=P_TIR(5) Z-WWp#b  
format short e; 9F3`hJZRy>  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] t.m $|M>  
format short; A!NT 2YdHZ  
+ISB"a  
%DDE Connection >$}nKPC,Y  
TP_COMMAND = ddeinit('TracePro','Scheme'); &c A?|(7-  
%Create TIR r+>9O  
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)))']; 1 %*X,E  
ddeexec(TP_COMMAND,cmd); UHXlBH@  
cmd =['(entity:move TIR 0 0 -2.3712)']; H94$Xi"Bd
 
ddeexec(TP_COMMAND,cmd); 7IHWj<  
cmd =['(property:apply-name TIR "TIR")']; uH`ds+Hp  
ddeexec(TP_COMMAND,cmd); n32?GRp  
]TGJ|X  
%Feedback dimensions of Lens part TIR 4((Z8@iX/  
result='Core系数如下：' A:N!H_x  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d $ \jly  
Aperture=r B3K%V|;z )  
Obstruction='None' |%$d/<<PZ  
Position=P_Core(5) |ek*wo  
format short e; {`-EX  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] /+'@}u |  
format short;  Vb/J`  
%Create Core `9@!"p f  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; +1e*>jE  
ddeexec(TP_COMMAND,cmd); 5^pQ=Sgt  
cmd =['(entity:move Core 0 0 5.9493)']; d8|:)7PSt  
ddeexec(TP_COMMAND,cmd); Oyz=|[^,W  
cmd =['(property:apply-name Core "Core")']; csYICLj  
ddeexec(TP_COMMAND,cmd); YV0e)bf  
rsrv1A=t?  
%Create Lens Oi7|R7NE  
cmd =['(define Unite (bool:unite TIR Core))']; `,TPd ~#~  
ddeexec(TP_COMMAND,cmd); 2H4+D)  
cmd =['(define block (insert:block 100 100 100))']; |i1z47jN6P  
ddeexec(TP_COMMAND,cmd); x<imMJ  
cmd =['(entity:move block 0 0 -50)']; w:pc5N>we0  
ddeexec(TP_COMMAND,cmd); 5FzG_ w  
cmd =['(define Lens (bool:subtract Unite block))']; 28zt.9  
ddeexec(TP_COMMAND,cmd); G$ipWi  
cmd =['(property:apply-name Lens "Lens")']; ; <3w ,r  
ddeexec(TP_COMMAND,cmd); KPKby?qQ^  
!iITX,'8  
%Close the DDE connection (I
u5QLE  
ddeterm(TP_COMMAND); 'tF<7\!  

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