[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： crmQn ^4\  
% By Ruibin 08-9-25 rQ*+ <`R}  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. -hd
 
m#"_x{oa  
clear all;clc Z@~gN5@,M  
FP@_V-  
% The Frist Step: Define independent parameters `3TR`,=  
r=3.25;               %选择开孔半径 uGU2  
R=4.25;               %定义曲面底部半径 x:SjdT  
d=1;                  %设置透镜前方平板高度 \GFqRRn  
n=1.4935;             %定义材料折射率 5 jrR]X  
dividing_angle=24;    %定义Core与TIR的分界角 B=SA +{o  
min_angle=1;          %设置计算精度 JrP`u4f_  
N=4;                  %设定拟合非球面系数阶数 ,@*5x'auK  
vNO&0~  
% The Second Step：Caculate induced variable {^]qaQ[5N  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); }m:paB"3  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); $^x=i;>aK.  
for i=1:(num_Core) l@`k:?  
a_Core(i)=(angles_Core(i)*pi/180); ^
u$gO3D  
k1(i)=cot(a_Core(i)); rZKh}E  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); &3vm @  
end Kz'GAm\  
k1(num_Core)=999;k2(num_Core)=0; ak7%  
for i=1:num_TIR D#GuF~-F!R  
a_TIR(i)=(angles_TIR(i)*pi/180); SKG U)Rn;  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 5ibr1zs  
k4(i)=tan(asin(cos(a_TIR(i))/n)); CL<-3y*  
end 757&bH|a  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 8mX!mYO3c  
|d0X1
(  
% The Third Step:Solve functions Z$z-Hx@%  
for i=1:num_Core                    %Solve the curve of Core P~7(x7/7~  
syms x; Bg|d2,im  
f1=k1(i)*x; ys=2!P-[#  
f2=k2(i)*(x-X0_Core)+Y0_Core; =!Ik5LiD  
f=f1-f2; "&_+!TBg,  
x=double(solve(f));y=k1(i)*x;
g;l K34{  
X0_Core=x;Y0_Core=y; 'o='Q)Dk  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; #JUh"8N'  
end "6,fIsU  
for i=1:num_TIR                      %Solve the curve of TIR &r,vD,  
syms x; ~/^fdGr  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; %!` %21  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); @!;A^<{ka  
f=f1-f2; B:>:$LIL  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 9Og  
X0_TIR=x;Y0_TIR=y; /qdvzv%T  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Csyh 'v  
end
jV% VN  
T m"B  
% The furth Step:Fitting the curve
l!1_~!{y  
P_Core=polyfit(Px_Core,Py_Core,4); `.@udfog^0  
P_TIR=polyfit(Px_TIR,Py_TIR,4); le:}MM  
:EW1I>}_  
% The fifth Step:Feedback chief dimensions of the lens and Create it 4m~y%> &  
%Feedback dimensions of the whole lens Xl=RaV
^X"  
result='透镜尺寸如下：' 1 -Z&/3T]  
Diameter_of_lens=2*Px_TIR(num_TIR) 8P]nO+  
Thickness_of_lens=Py_TIR(num_TIR)+d *,u{,$}2  
Diameter_of_Core=2*r :1d;jx>  
Thickness_of_front_pannel=d @@ j\OR  
Bottom_thickness=R-r j32*9   
Lowest_Core=P_Core(5) rDl/R^w"  
G 1{m"1M  
%Feedback dimensions of Lens part TIR oVK?lQ~y  
result='TIR系数如下：' \: ZDY(>1  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d olv&K(-ccI  
Aperture=Px_TIR(num_TIR) 0 Rb3|te  
Obstruction=r Q7amp:JFb  
Position=P_TIR(5) H~*N:$C  
format short e; 7<LuL  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] drpx"d[c  
format short; kNP-+o  
27}:f?2hbJ  
%DDE Connection x,: k/]  
TP_COMMAND = ddeinit('TracePro','Scheme'); c,#=In2  
%Create TIR U_jW5mgsG  
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)))']; !I|_vJ@<  
ddeexec(TP_COMMAND,cmd); Ew4D';&;  
cmd =['(entity:move TIR 0 0 -2.3712)']; !- [ZQ  
ddeexec(TP_COMMAND,cmd); UhR^Y{W5  
cmd =['(property:apply-name TIR "TIR")']; =nHkFi@D=t  
ddeexec(TP_COMMAND,cmd); HFB>0<$  
!"FEp  
%Feedback dimensions of Lens part TIR L@RnLaoQ  
result='Core系数如下：' xlcCL?qQj  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d i`YZ;L L  
Aperture=r |Ja5O  
Obstruction='None' kM-8%a2i  
Position=P_Core(5) iwIn3R,  
format short e; */~|IbZ`o  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] DK2Wjr;  
format short; UV|{za$&/  
%Create Core ql%K+4@  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; .NWsr*Tel  
ddeexec(TP_COMMAND,cmd); ipG 0
ie+  
cmd =['(entity:move Core 0 0 5.9493)']; @Y,t]  
ddeexec(TP_COMMAND,cmd); [cFD\"gJAr  
cmd =['(property:apply-name Core "Core")']; t(<k4ji,  
ddeexec(TP_COMMAND,cmd); 51%Rk,/o  
Zk7!CJVM  
%Create Lens .WeSU0XG  
cmd =['(define Unite (bool:unite TIR Core))']; yC@PMyE]  
ddeexec(TP_COMMAND,cmd); m5/]+xdNX  
cmd =['(define block (insert:block 100 100 100))']; 3hkEjR  
ddeexec(TP_COMMAND,cmd); EqHToD I3  
cmd =['(entity:move block 0 0 -50)']; S^q^=q0F  
ddeexec(TP_COMMAND,cmd); uD{^1c3x  
cmd =['(define Lens (bool:subtract Unite block))']; ,nog6\  
ddeexec(TP_COMMAND,cmd); Na]ITCVR  
cmd =['(property:apply-name Lens "Lens")']; b4$g$()  
ddeexec(TP_COMMAND,cmd); f*V^HfiQb  
%/)z!}{  
%Close the DDE connection a^G>|+8  
ddeterm(TP_COMMAND); 5T"h7^}e  

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