[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： iW6O9~  
% By Ruibin 08-9-25 z[f]mU  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. CC=I|/mBM  
r4mh:T4i  
clear all;clc 50MM05aC  
&`qYe)1Eo  
% The Frist Step: Define independent parameters \s#~ %l  
r=3.25;               %选择开孔半径 >2
s6Y  
R=4.25;               %定义曲面底部半径 MUl`0H"tR  
d=1;                  %设置透镜前方平板高度  9Vm aB  
n=1.4935;             %定义材料折射率 nDvfb*\  
dividing_angle=24;    %定义Core与TIR的分界角 GUu8 N  
min_angle=1;          %设置计算精度 ^dpM2$J  
N=4;                  %设定拟合非球面系数阶数 'aEK{#en  
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% The Second Step：Caculate induced variable XdJD"|,h  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); C?|sQcCE  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); eA1g}ipm  
for i=1:(num_Core) +1wEoU.l2  
a_Core(i)=(angles_Core(i)*pi/180); eI ( S)q  
k1(i)=cot(a_Core(i)); )"\= _E#  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); (/uN+  
end J~K
O#`  
k1(num_Core)=999;k2(num_Core)=0; _qE9]mU  
for i=1:num_TIR %/3+
:}@G  
a_TIR(i)=(angles_TIR(i)*pi/180);
G T~rr*X  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); B5 /8LEWw  
k4(i)=tan(asin(cos(a_TIR(i))/n)); Lz1KDXr`)+  
end l0G{{R0Y  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1));  C@*x  
FZgf"XM>  
% The Third Step:Solve functions X}'rPz\Lu  
for i=1:num_Core                    %Solve the curve of Core #Tc`W_-  
syms x; R>"pJbS;L  
f1=k1(i)*x;
GOxP{d?  
f2=k2(i)*(x-X0_Core)+Y0_Core; <,DMD  
f=f1-f2; \'=svJ   
x=double(solve(f));y=k1(i)*x; P>q
~ocq<  
X0_Core=x;Y0_Core=y; $E[O}+L$#  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; qf K gNZ  
end ^N7cXK*  
for i=1:num_TIR                      %Solve the curve of TIR r } Wdj  
syms x; GdC=>\]  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 1;m?:|6K{  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); JVg}XwR  
f=f1-f2; c*#$sZ@YA  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ,sj(g/hg  
X0_TIR=x;Y0_TIR=y; f]10^y5&  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; L__{U_p  
end yUcU-pQ  
b:9"nALgC  
% The furth Step:Fitting the curve +mG"m hF  
P_Core=polyfit(Px_Core,Py_Core,4); [.l,#-vp  
P_TIR=polyfit(Px_TIR,Py_TIR,4); A PSkW9H  
nEUH;z  
% The fifth Step:Feedback chief dimensions of the lens and Create it ih("`//nP  
%Feedback dimensions of the whole lens sz%]rN6$  
result='透镜尺寸如下：' @RB^m(> 5  
Diameter_of_lens=2*Px_TIR(num_TIR) L|{vkkBo  
Thickness_of_lens=Py_TIR(num_TIR)+d X%I@4 B7Ts  
Diameter_of_Core=2*r lw8t#_P  
Thickness_of_front_pannel=d "$5cKbJ  
Bottom_thickness=R-r k_1;YOBF  
Lowest_Core=P_Core(5) ;]R5:LbXS  
Rex86!TO  
%Feedback dimensions of Lens part TIR KY2z)#/  
result='TIR系数如下：' rLeQBp'  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d DIYR8l}x  
Aperture=Px_TIR(num_TIR) l^tRy_T:-  
Obstruction=r tHqa%  
Position=P_TIR(5) j<WsFVS  
format short e; v\(6uej^  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)]
-m,Y6  
format short; B!x6N"  
K d#(eGe  
%DDE Connection ?Z!R  
TP_COMMAND = ddeinit('TracePro','Scheme'); q(EN]W],  
%Create TIR I=Y_EjZD  
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)))']; sc-+?i  
ddeexec(TP_COMMAND,cmd); q(46v`u  
cmd =['(entity:move TIR 0 0 -2.3712)']; AH#a+<;a  
ddeexec(TP_COMMAND,cmd); Bvj  
cmd =['(property:apply-name TIR "TIR")']; _^?_Vb  
ddeexec(TP_COMMAND,cmd); {qSMJja!t  
?]*"S{Cqv  
%Feedback dimensions of Lens part TIR +u |SX/C  
result='Core系数如下：' [g@Uc  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d a$iDn_{  
Aperture=r Qo]qs+  
Obstruction='None' 18j>x3tn  
Position=P_Core(5) 3:w_49~:~  
format short e; !gsrPM  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] YHgNL LZ?  
format short; kTzO4s?  
%Create Core 6 %`h2Z  
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)))']; Jz0AYiCq  
ddeexec(TP_COMMAND,cmd); $PlMyLu7jc  
cmd =['(entity:move Core 0 0 5.9493)']; H7drDw  
ddeexec(TP_COMMAND,cmd); <Pf4[q&wM  
cmd =['(property:apply-name Core "Core")']; # dUi['  
ddeexec(TP_COMMAND,cmd); jMX+uYx M  
Gf!c  
%Create Lens J`; 9Z  
cmd =['(define Unite (bool:unite TIR Core))']; (bpxj3@R  
ddeexec(TP_COMMAND,cmd); Ag{)?5/d_  
cmd =['(define block (insert:block 100 100 100))']; 8B "^}y\0  
ddeexec(TP_COMMAND,cmd); +~==qLsU  
cmd =['(entity:move block 0 0 -50)']; (B*,|D[J@i  
ddeexec(TP_COMMAND,cmd); 5)rN#_BKj  
cmd =['(define Lens (bool:subtract Unite block))']; 9[&q C  
ddeexec(TP_COMMAND,cmd); 2h@&yW2j  
cmd =['(property:apply-name Lens "Lens")']; FUL'=Xo  
ddeexec(TP_COMMAND,cmd); 1;,<UHF8N  
NTGWI$  
%Close the DDE connection qx0F*EH|  
ddeterm(TP_COMMAND); roi,?B_8  

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