[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： ?9 <:QE;I>  
% By Ruibin 08-9-25 T
(id^
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% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. lXW%FH6c+  
NG+GEqx  
clear all;clc 6m}Ev95  
y%"{I7
!A  
% The Frist Step: Define independent parameters 11Q1AN  
r=3.25;               %选择开孔半径 C0T;![/4A  
R=4.25;               %定义曲面底部半径 Ni9/}bb  
d=1;                  %设置透镜前方平板高度 s
lCx w$  
n=1.4935;             %定义材料折射率 5-:?&|JK;  
dividing_angle=24;    %定义Core与TIR的分界角 J!dm-L  
min_angle=1;          %设置计算精度 f,U.7E  
N=4;                  %设定拟合非球面系数阶数 <sb~ ^B  
P)Jgs  
% The Second Step：Caculate induced variable n\mO6aJ  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); /6)<}#  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); zu_8># i-  
for i=1:(num_Core) ?1~`*LE  
a_Core(i)=(angles_Core(i)*pi/180); Ri<u/ ]oR"  
k1(i)=cot(a_Core(i)); ^UP`
%egR  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 0yk]o5a++  
end ^pp\bVh2Q]  
k1(num_Core)=999;k2(num_Core)=0; Kn5~d(:  
for i=1:num_TIR ER%^!xA  
a_TIR(i)=(angles_TIR(i)*pi/180); >FeX<L  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 3#LlDC_WC  
k4(i)=tan(asin(cos(a_TIR(i))/n)); qU \w=  
end q}3`|'3  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); p*XANGA  
(p"%O  
% The Third Step:Solve functions ROH|PKb7  
for i=1:num_Core                    %Solve the curve of Core )3cAQ'w  
syms x; \1k79c  
f1=k1(i)*x; $o+j El>  
f2=k2(i)*(x-X0_Core)+Y0_Core; <$D`Z-6  
f=f1-f2; L^1NY3=$  
x=double(solve(f));y=k1(i)*x; 2=*H 8'k  
X0_Core=x;Y0_Core=y; 1KU! tL  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; XY5K%dMU  
end ahusta  
for i=1:num_TIR                      %Solve the curve of TIR Ki;*u_4{  
syms x; Akq2 d;  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ) ;EBz  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 1.}d.t  
f=f1-f2; {a =#B)6  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; mVj9,q0  
X0_TIR=x;Y0_TIR=y; tR#OjkvX  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; l[dK[4  
end *IB4[6  
=O~_Q-  
% The furth Step:Fitting the curve y\/1/WjBn  
P_Core=polyfit(Px_Core,Py_Core,4); _qF+tm  
P_TIR=polyfit(Px_TIR,Py_TIR,4); dB{Q"!
 
p'Y^X  
% The fifth Step:Feedback chief dimensions of the lens and Create it  CT&|QH{  
%Feedback dimensions of the whole lens Pd8![Z3  
result='透镜尺寸如下：' S;Fi?M  
Diameter_of_lens=2*Px_TIR(num_TIR) x[cL Bc<  
Thickness_of_lens=Py_TIR(num_TIR)+d A[B<~  
Diameter_of_Core=2*r kXViWOXU^  
Thickness_of_front_pannel=d QFA8N  
Bottom_thickness=R-r qv-8)MSr  
Lowest_Core=P_Core(5) &j;wCvE4+  
|44Ploz2b  
%Feedback dimensions of Lens part TIR kpuz]a7pK  
result='TIR系数如下：' _?nL+\'V  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d \UA[  
Aperture=Px_TIR(num_TIR) ."g`3tVK  
Obstruction=r Z*F3G#A  
Position=P_TIR(5) )L? P}$+  
format short e; <3nMx^  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Usvl}{L[  
format short; :'Vf g[Uq  
td$E/h=3  
%DDE Connection <|HV. O/!  
TP_COMMAND = ddeinit('TracePro','Scheme'); _YRFet[,m  
%Create TIR 'B|JAi?  
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)))']; H8=N@l  
ddeexec(TP_COMMAND,cmd); /l3V3B7  
cmd =['(entity:move TIR 0 0 -2.3712)']; .e#w)K  
ddeexec(TP_COMMAND,cmd); nkPh,X\N0  
cmd =['(property:apply-name TIR "TIR")']; [+Iz@0q  
ddeexec(TP_COMMAND,cmd); Q3'llOx  
6bg ;q(*7  
%Feedback dimensions of Lens part TIR Dm981t>wL  
result='Core系数如下：' PrqlTT}Px  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Lj({[H7D!  
Aperture=r cZ,b?I"Q%  
Obstruction='None' !
|(-=2`  
Position=P_Core(5) ROI7eU  
format short e; }CSDV9).S  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] iqsCB%;5  
format short; RHW]Z Pr<  
%Create Core X0HZH?V+  
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)))']; b!t0w{^w  
ddeexec(TP_COMMAND,cmd); HZE#Ab*L  
cmd =['(entity:move Core 0 0 5.9493)']; : $1?i)  
ddeexec(TP_COMMAND,cmd); G[PtkPSJ  
cmd =['(property:apply-name Core "Core")']; @?sRj&w  
ddeexec(TP_COMMAND,cmd); H*n-_{h"t  
=jN.1}  
%Create Lens .^`{1%  
cmd =['(define Unite (bool:unite TIR Core))']; T=DbBy0-  
ddeexec(TP_COMMAND,cmd); fgTg7 m  
cmd =['(define block (insert:block 100 100 100))']; ~ah~cwmpS  
ddeexec(TP_COMMAND,cmd); LENq_@$  
cmd =['(entity:move block 0 0 -50)']; u[;\y|75  
ddeexec(TP_COMMAND,cmd); +fB5w?Rg  
cmd =['(define Lens (bool:subtract Unite block))']; ;fTKfa  
ddeexec(TP_COMMAND,cmd); c^xIm'eob  
cmd =['(property:apply-name Lens "Lens")']; !/b>sN}  
ddeexec(TP_COMMAND,cmd); BKCiIfkZ  
s[>,X#7 y  
%Close the DDE connection 6yG^p]zZ  
ddeterm(TP_COMMAND); 8 /]S^'>  

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