[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

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看看e:matlab画准直透镜曲线？

程序如下： 9>6?tb"f*H  
% By Ruibin 08-9-25 d$HPpi1LL  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions.
YJF|J2u  
a] P0PH~  
clear all;clc WCP2x.gb5  
97pfMk1_  
% The Frist Step: Define independent parameters GGU>={D)  
r=3.25;               %选择开孔半径 P>hR${
KE  
R=4.25;               %定义曲面底部半径 N (0%C?  
d=1;                  %设置透镜前方平板高度 tfdb9#&?  
n=1.4935;             %定义材料折射率 !}hG|Y6s  
dividing_angle=24;    %定义Core与TIR的分界角 b"y4-KV  
min_angle=1;          %设置计算精度 ig^x%!;  
N=4;                  %设定拟合非球面系数阶数 "XLFw;o  
v(]dIH  
% The Second Step：Caculate induced variable ?h:xO\h8  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Tq,dlDDOR  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); M Al4g+es  
for i=1:(num_Core) W.l#@p  
a_Core(i)=(angles_Core(i)*pi/180); 0D/7X9xg9+  
k1(i)=cot(a_Core(i)); v$Xoxp  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); $"g'C8  
end +ZR>ul-c  
k1(num_Core)=999;k2(num_Core)=0; [ZL<Q  
for i=1:num_TIR fLZ99?J  
a_TIR(i)=(angles_TIR(i)*pi/180); 9vBW CCf
 
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); dN@C)5pm5`  
k4(i)=tan(asin(cos(a_TIR(i))/n)); tu^C<MV  
end \;1nEjIA  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 0py29>"t  
j/F:j5O*  
% The Third Step:Solve functions h\4enu9[RL  
for i=1:num_Core                    %Solve the curve of Core U U3o(Yq  
syms x; _
q}^#-  
f1=k1(i)*x; JvF0s}#4  
f2=k2(i)*(x-X0_Core)+Y0_Core; qG3MyK%O\  
f=f1-f2; O f]/tdPp  
x=double(solve(f));y=k1(i)*x; Lb~' I=9D  
X0_Core=x;Y0_Core=y; 825 QS`  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; a>&dAo}  
end ~En]sj  
for i=1:num_TIR                      %Solve the curve of TIR $ve*j=p  
syms x; -0+h&CO  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 8{)N%r  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ,4r 4 <  
f=f1-f2; #&Rx?V  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; [*g'Y;W  
X0_TIR=x;Y0_TIR=y; }[y_Fr0  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; sC_doh_M  
end CUx-k|\  
~&D5RfK5f  
% The furth Step:Fitting the curve jP.dQj^j&  
P_Core=polyfit(Px_Core,Py_Core,4); ywj'O e41  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 2p
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#Eqx Eo;  
% The fifth Step:Feedback chief dimensions of the lens and Create it _sQhDi  
%Feedback dimensions of the whole lens U.1&'U*  
result='透镜尺寸如下：' 5}2148  
Diameter_of_lens=2*Px_TIR(num_TIR) F1/BtGvQE  
Thickness_of_lens=Py_TIR(num_TIR)+d y24/lc  
Diameter_of_Core=2*r >6|Xvtf  
Thickness_of_front_pannel=d FAq9G
-\B  
Bottom_thickness=R-r @DKph!cr  
Lowest_Core=P_Core(5) 6%MM)Vj+u  
|eksvO'~  
%Feedback dimensions of Lens part TIR 0U!_o2]  
result='TIR系数如下：' 2^)_XVX1  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d } a!HbH  
Aperture=Px_TIR(num_TIR) ITZ}$=   
Obstruction=r cXNR<`   
Position=P_TIR(5) oN,9#*PVL  
format short e; $PMD$c  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] /5~j"| U'  
format short; V]/$ dJ  
:M.]-+(  
%DDE Connection %-an\.a.  
TP_COMMAND = ddeinit('TracePro','Scheme'); 6%&DJBU!  
%Create TIR x5k6"S"1,  
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)))']; 4 ;^  
ddeexec(TP_COMMAND,cmd); .#LHj}u  
cmd =['(entity:move TIR 0 0 -2.3712)']; 5s<.
qDc  
ddeexec(TP_COMMAND,cmd); 8aVj@x$'  
cmd =['(property:apply-name TIR "TIR")']; H<   
ddeexec(TP_COMMAND,cmd); 2 ;Q|h$n  
 *LQt=~  
%Feedback dimensions of Lens part TIR UW&K\P  
result='Core系数如下：' +<3e@s&  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d :JK+V2B$H  
Aperture=r  >1q:-^  
Obstruction='None' *rC%nmJwk!  
Position=P_Core(5) #yOeL3|b'  
format short e; Fu65VLKh  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] _r`(P#Hy  
format short; c#a>> V  
%Create Core )jMk~;'r  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; r|3<UR%  
ddeexec(TP_COMMAND,cmd); twp~#s:\z  
cmd =['(entity:move Core 0 0 5.9493)']; RA}Y$}^#'  
ddeexec(TP_COMMAND,cmd); Ju_(,M-Vgr  
cmd =['(property:apply-name Core "Core")']; ^geY Ay  
ddeexec(TP_COMMAND,cmd); ki8Jl}dr  
8|Wl|@1(  
%Create Lens O*9d[jw[  
cmd =['(define Unite (bool:unite TIR Core))']; *7C l1o  
ddeexec(TP_COMMAND,cmd); LHs^Xo18  
cmd =['(define block (insert:block 100 100 100))']; P?zL`czWd  
ddeexec(TP_COMMAND,cmd); DS7Pioa86  
cmd =['(entity:move block 0 0 -50)']; AZnFOS  
ddeexec(TP_COMMAND,cmd); &zHY0
fxX  
cmd =['(define Lens (bool:subtract Unite block))']; ,9W!cD+0  
ddeexec(TP_COMMAND,cmd); gh%Q9Ni-  
cmd =['(property:apply-name Lens "Lens")']; vZIx>  
ddeexec(TP_COMMAND,cmd); WDh*8!)  
Sv[+~co<l  
%Close the DDE connection L]=LY  
ddeterm(TP_COMMAND); G.qjw]Llf  

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