[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： cVn7
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% By Ruibin 08-9-25 ( L RX  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. #D+Fq^="P  
mXF pGo5 s  
clear all;clc ;wprHXjq  
OG 5n9sx  
% The Frist Step: Define independent parameters n*iaNaU"'  
r=3.25;               %选择开孔半径 XW]|Mv[M  
R=4.25;               %定义曲面底部半径 kZGhE2np  
d=1;                  %设置透镜前方平板高度 =$Q3!bJ  
n=1.4935;             %定义材料折射率 kC9A  
dividing_angle=24;    %定义Core与TIR的分界角 8gBqur{  
min_angle=1;          %设置计算精度 &"C1XM  
N=4;                  %设定拟合非球面系数阶数 4b3p,$BWS  
w6Tb<ja  
% The Second Step：Caculate induced variable r?/>t1Z  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); OR"ni  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 2#W%--  
for i=1:(num_Core) +S%@/q  
a_Core(i)=(angles_Core(i)*pi/180); F<-Pbtw  
k1(i)=cot(a_Core(i)); 'Dk(jpYB  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2);
gYzKUX@  
end 3y 3 U`Mo  
k1(num_Core)=999;k2(num_Core)=0; 7P|(j<JX6'  
for i=1:num_TIR ?QVD)JI*k  
a_TIR(i)=(angles_TIR(i)*pi/180); ^QW%<X  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); gi;V~>kh  
k4(i)=tan(asin(cos(a_TIR(i))/n)); aeBth{  
end <"[}8  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); n{'
[[2U  
oHi&Z$#!n  
% The Third Step:Solve functions `8'T*KU  
for i=1:num_Core                    %Solve the curve of Core i,yK&*>JJ  
syms x; U;V. +onv  
f1=k1(i)*x; l1W5pmhK]'  
f2=k2(i)*(x-X0_Core)+Y0_Core; At bqj?  
f=f1-f2; q}\\p  
x=double(solve(f));y=k1(i)*x; bNaJ{Dm$R  
X0_Core=x;Y0_Core=y; {8B\-LUR  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Zp__  
end qo. 6T  
for i=1:num_TIR                      %Solve the curve of TIR ? ! 1uw  
syms x; ?ST}0F00}  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Bxa],inuZ  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); <&L;9fr  
f=f1-f2; hU=J^Gi0  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; *!s4#|h  
X0_TIR=x;Y0_TIR=y; +j@|D@z  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 1 yzxA(  
end @$nI\n?*  
mML^kgy\N  
% The furth Step:Fitting the curve Spk
VV/  
P_Core=polyfit(Px_Core,Py_Core,4); |y:DLsom?i  
P_TIR=polyfit(Px_TIR,Py_TIR,4); RD_;us@&&*  
g3Xz-  
% The fifth Step:Feedback chief dimensions of the lens and Create it A|>C3S  
%Feedback dimensions of the whole lens *UyV@  
result='透镜尺寸如下：' "BVz5?  
Diameter_of_lens=2*Px_TIR(num_TIR) &%*S  
Thickness_of_lens=Py_TIR(num_TIR)+d ,^<+5TYM7
 
Diameter_of_Core=2*r
N0qC/da1  
Thickness_of_front_pannel=d X ]a>  
Bottom_thickness=R-r ynDx'Q*N'  
Lowest_Core=P_Core(5) {X =\  
;Q"F@v}18  
%Feedback dimensions of Lens part TIR eh`V#%S=  
result='TIR系数如下：' 6/-!oo
 
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d Fb``&-Qm:  
Aperture=Px_TIR(num_TIR) - 5k4vx N}  
Obstruction=r Wig0OZj  
Position=P_TIR(5) Qrt8O7&('  
format short e; ]Z84w!z  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] v =?V{"wk!  
format short; DS$ _"'g%i  
$>h#|?*?  
%DDE Connection 18n84RkI9  
TP_COMMAND = ddeinit('TracePro','Scheme'); iP!Y4F  
%Create TIR gP`!MlY@  
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)))']; 8uGPyH  
ddeexec(TP_COMMAND,cmd); #P4dx'vm  
cmd =['(entity:move TIR 0 0 -2.3712)']; (jm.vL&5j  
ddeexec(TP_COMMAND,cmd); Z~,.l  
cmd =['(property:apply-name TIR "TIR")']; apMYBbC  
ddeexec(TP_COMMAND,cmd); V?O%kd  
@NHRuk+  
%Feedback dimensions of Lens part TIR aEk*-v#{  
result='Core系数如下：' b
 #^aM  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d __V]HcP;  
Aperture=r \G=E%aK  
Obstruction='None' Gzir>'d2'V  
Position=P_Core(5) n% `r  
format short e; dikWk  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] b"Mq7&cf  
format short; `HS4(2+C  
%Create Core y[zA[H:  
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)))']; vW{cBy  
ddeexec(TP_COMMAND,cmd); h/fCCfO,  
cmd =['(entity:move Core 0 0 5.9493)']; @\DD|o67  
ddeexec(TP_COMMAND,cmd); y{{EC#  
cmd =['(property:apply-name Core "Core")']; B![5+  
ddeexec(TP_COMMAND,cmd); Ds G *  
38m%if
h)  
%Create Lens YMi(Cyja&  
cmd =['(define Unite (bool:unite TIR Core))']; _RW[]MN3*  
ddeexec(TP_COMMAND,cmd); KyyG8;G%  
cmd =['(define block (insert:block 100 100 100))']; q%k+x)  
ddeexec(TP_COMMAND,cmd); +_gT|vlU  
cmd =['(entity:move block 0 0 -50)']; "pZ3  
ddeexec(TP_COMMAND,cmd); p-pw*wH0  
cmd =['(define Lens (bool:subtract Unite block))']; #8z,'~\  
ddeexec(TP_COMMAND,cmd); i)2))C  
cmd =['(property:apply-name Lens "Lens")']; Vf?#W,5>=  
ddeexec(TP_COMMAND,cmd); Wv0'?NL.  
qp W#!Vbx  
%Close the DDE connection ' 4~5ez|:  
ddeterm(TP_COMMAND);
HL
e
^|  

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