[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： {[2tG U9  
% By Ruibin 08-9-25 c[VrC+e m  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. I?a8h`WS+  
U_}7d"<| ?  
clear all;clc #>8T*B  
G HD^%)T5^  
% The Frist Step: Define independent parameters LBiowd[  
r=3.25;               %选择开孔半径 CQdBf3q  
R=4.25;               %定义曲面底部半径 Tu]&^[B('  
d=1;                  %设置透镜前方平板高度 \\jIl3Z  
n=1.4935;             %定义材料折射率 [}>#YPZ  
dividing_angle=24;    %定义Core与TIR的分界角 GR,J0LT  
min_angle=1;          %设置计算精度 C"6Amnj  
N=4;                  %设定拟合非球面系数阶数 l8z%\p5cR  
U1l0Uke  
% The Second Step：Caculate induced variable Kw)KA^KF  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ,I]7g4~  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); >DL/..  
for i=1:(num_Core) }wG,BB%N  
a_Core(i)=(angles_Core(i)*pi/180); mc?';dEG  
k1(i)=cot(a_Core(i)); O -G1})$  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); OCCEL9d  
end 2G?$X
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k1(num_Core)=999;k2(num_Core)=0; qgtn5]A  
for i=1:num_TIR 5O&d3;p'  
a_TIR(i)=(angles_TIR(i)*pi/180); O@s{uZ|A6  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); Gz?2b#7v  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 8Jr1_a  
end R2l[Q){!  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); /|?F)%v\  
+P|2m"UA  
% The Third Step:Solve functions n12UBvc}%  
for i=1:num_Core                    %Solve the curve of Core I:i<>kG  
syms x; 3YW=||;|Yg  
f1=k1(i)*x; ZRnL_z~  
f2=k2(i)*(x-X0_Core)+Y0_Core; V5AW&kfd  
f=f1-f2; ACb/ITu  
x=double(solve(f));y=k1(i)*x; r0\?WoF2C  
X0_Core=x;Y0_Core=y; MAnp{  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; =h|wwQE  
end '.Z4 hHX  
for i=1:num_TIR                      %Solve the curve of TIR W5.
Va.  
syms x; ?g3 ]~;#  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; :I \9YzSs@  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); DL{R|3{N  
f=f1-f2; XX2h(-  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; {oUAP1V^  
X0_TIR=x;Y0_TIR=y; =1Z;Ma<;  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; e3v5,.  
end ,3HcCuT  
>.<ooWw  
% The furth Step:Fitting the curve M
4KWN'  
P_Core=polyfit(Px_Core,Py_Core,4); D. Kqc  
P_TIR=polyfit(Px_TIR,Py_TIR,4); m!O;>D  
MR$>!Nlp  
% The fifth Step:Feedback chief dimensions of the lens and Create it dlDki.  
%Feedback dimensions of the whole lens 4Po)xo  
result='透镜尺寸如下：' !VP %v&jKm  
Diameter_of_lens=2*Px_TIR(num_TIR) ~e">_;k6  
Thickness_of_lens=Py_TIR(num_TIR)+d lw[e*q{s.  
Diameter_of_Core=2*r Qx)Jtb0`V  
Thickness_of_front_pannel=d ]
]BOk  
Bottom_thickness=R-r y3eHF^K+$  
Lowest_Core=P_Core(5) TWd;EnNM  
QA;!caNp  
%Feedback dimensions of Lens part TIR syPWs57pH  
result='TIR系数如下：' 2p!"p`b~  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d nfdq y)  
Aperture=Px_TIR(num_TIR) uD9|.P}  
Obstruction=r /i_ @  
Position=P_TIR(5) T$+-IAE  
format short e; L}sx<=8.m  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] jrMe G.e=D  
format short; PdeBDFWD  
7~1IO|4t  
%DDE Connection r0]4=6U  
TP_COMMAND = ddeinit('TracePro','Scheme'); D@oCP =m<  
%Create TIR A,gEM4  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; +q<B.XxkA  
ddeexec(TP_COMMAND,cmd); 9`Q<Yy"du  
cmd =['(entity:move TIR 0 0 -2.3712)']; i38[hQR9a  
ddeexec(TP_COMMAND,cmd); G?c-79]U  
cmd =['(property:apply-name TIR "TIR")']; #Q"O4 b:8  
ddeexec(TP_COMMAND,cmd); ^|MjJsn  
9uk<&nqx  
%Feedback dimensions of Lens part TIR .TJEUK  
result='Core系数如下：' @A<PkpNL  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d PU<PhuMd  
Aperture=r Cq)IayD@  
Obstruction='None' ^wb:C[r!V  
Position=P_Core(5) c]-*P7W  
format short e; a>O9pX  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Q Fm|-j  
format short; ``VW;l{  
%Create Core . #lsic8]  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; Iq7}   
ddeexec(TP_COMMAND,cmd); 1 rs&74-  
cmd =['(entity:move Core 0 0 5.9493)']; .xhK'}l[  
ddeexec(TP_COMMAND,cmd); (6l+lru[  
cmd =['(property:apply-name Core "Core")']; gKz(=  
ddeexec(TP_COMMAND,cmd); U6E\AvbRn  
L|-98]8>  
%Create Lens j]|U  
cmd =['(define Unite (bool:unite TIR Core))']; 'H5M|c$s  
ddeexec(TP_COMMAND,cmd); @Jm7^;9/  
cmd =['(define block (insert:block 100 100 100))']; @fv}G>t  
ddeexec(TP_COMMAND,cmd); "tjLc6Xl^  
cmd =['(entity:move block 0 0 -50)']; qyC=(v  
ddeexec(TP_COMMAND,cmd); ,Ys"W x  
cmd =['(define Lens (bool:subtract Unite block))']; o8e?J\?  
ddeexec(TP_COMMAND,cmd); G
,Z^g|6  
cmd =['(property:apply-name Lens "Lens")']; jZ`;Cy\<B  
ddeexec(TP_COMMAND,cmd); ^7zu<lX  
}_=eT]  
%Close the DDE connection `qJw|u>YpJ  
ddeterm(TP_COMMAND); z[`@}}Q  

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