[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： D L_{q6ZK  
% By Ruibin 08-9-25 kScq#<Y&  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 
x-k}RI  
y88FT#hR|5  
clear all;clc oQ=Q}  
ewqfs/  
% The Frist Step: Define independent parameters aE6I|6W
?  
r=3.25;               %选择开孔半径 Y&aFAjj  
R=4.25;               %定义曲面底部半径 nZa.3/7dJ  
d=1;                  %设置透镜前方平板高度 "w0>  
n=1.4935;             %定义材料折射率 mHo}, |  
dividing_angle=24;    %定义Core与TIR的分界角 %^m6Q!
  
min_angle=1;          %设置计算精度 zg&<HJO  
N=4;                  %设定拟合非球面系数阶数 b w!
;ZRK  
sB ]~=vUP  
% The Second Step：Caculate induced variable 1vBR\!d?7  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle);  /E/J<  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); t5#IiPp  
for i=1:(num_Core) 
Ns2M8  
a_Core(i)=(angles_Core(i)*pi/180); !CROc}  
k1(i)=cot(a_Core(i)); l [?o du4  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); OWFLw  
end ywpk\  
k1(num_Core)=999;k2(num_Core)=0; KFdTw{GlJ7  
for i=1:num_TIR Qwb=N  
a_TIR(i)=(angles_TIR(i)*pi/180); }s=D,_}m  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); v2:A 4Pd:+  
k4(i)=tan(asin(cos(a_TIR(i))/n)); Tm5]M$)  
end "o/:LCE  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1));  2&O!<C j  
" 4#V$V  
% The Third Step:Solve functions <<gk<_7`  
for i=1:num_Core                    %Solve the curve of Core WF<`CQg[  
syms x; Rz1&(_Ps  
f1=k1(i)*x; zME75;{
 
f2=k2(i)*(x-X0_Core)+Y0_Core; u?Jw)
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f=f1-f2; o ^L3Xiv  
x=double(solve(f));y=k1(i)*x; Eym<DPu$n  
X0_Core=x;Y0_Core=y; i ~fkjn  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 6Yebc_, R  
end f8kPbpV,  
for i=1:num_TIR                      %Solve the curve of TIR ~;k-/Z"  
syms x; NARW3\  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; ULqnr@/FbK  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); @dQIl#  
f=f1-f2; 08{0i,Fs  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; V #W,}+_Sz  
X0_TIR=x;Y0_TIR=y; X[:Hp`_$  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; %mPIr4$Pg  
end qc\]~]H]r  
okJ+Yl.[?7  
% The furth Step:Fitting the curve m!5P5U x  
P_Core=polyfit(Px_Core,Py_Core,4); &U ]L@]x  
P_TIR=polyfit(Px_TIR,Py_TIR,4); x?Doe`/6?  
`q7O\  
% The fifth Step:Feedback chief dimensions of the lens and Create it R9nW5f Nf  
%Feedback dimensions of the whole lens 3JM0 m (  
result='透镜尺寸如下：' sL|*0,#K  
Diameter_of_lens=2*Px_TIR(num_TIR) 7
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Thickness_of_lens=Py_TIR(num_TIR)+d "2q}G16K  
Diameter_of_Core=2*r /)Bk r/  
Thickness_of_front_pannel=d |u8IQR'B  
Bottom_thickness=R-r 4Tgy2[D?q  
Lowest_Core=P_Core(5) -iWt~  
NrT!&>M  
%Feedback dimensions of Lens part TIR dO}6zQ\  
result='TIR系数如下：' Nw[TP G5  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d _0ki19rs  
Aperture=Px_TIR(num_TIR) %!I7tR#;  
Obstruction=r YKKZRlQo  
Position=P_TIR(5) G#-t&gO3  
format short e; 5xe}ljo  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] -/rP0h5#  
format short; <dl:';@a-  
reJw&t}Q  
%DDE Connection U;u
@\E@2  
TP_COMMAND = ddeinit('TracePro','Scheme'); |l)SX\Qf`@  
%Create TIR LgXc}3  
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)))']; -qaJ@T+J+7  
ddeexec(TP_COMMAND,cmd); O_}R~p  
cmd =['(entity:move TIR 0 0 -2.3712)'];  |`[0U  
ddeexec(TP_COMMAND,cmd); .1<QB{4~v  
cmd =['(property:apply-name TIR "TIR")']; n4,b?-E>(  
ddeexec(TP_COMMAND,cmd); ")m0{  
/ r6^]grg  
%Feedback dimensions of Lens part TIR jsB%RvX  
result='Core系数如下：' NQ~keN  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d z5`AJrj%  
Aperture=r ^k6 A,Ak  
Obstruction='None' /W\@
/b,  
Position=P_Core(5) x9Um4!/t  
format short e; zLEl/yPE  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 1"tyxAo\  
format short; E{x<P0 ;  
%Create Core +*&bgGhT  
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)))']; Z$ q{!aY  
ddeexec(TP_COMMAND,cmd); {2"8^;  
cmd =['(entity:move Core 0 0 5.9493)']; Gy 0 m  
ddeexec(TP_COMMAND,cmd); -{[5P!  
cmd =['(property:apply-name Core "Core")']; e>z  
ddeexec(TP_COMMAND,cmd); (%.[MilxPM  
%gUf
  
%Create Lens  %f3qCN  
cmd =['(define Unite (bool:unite TIR Core))']; CqK&J /8  
ddeexec(TP_COMMAND,cmd); D>tex/Of3  
cmd =['(define block (insert:block 100 100 100))']; }#%3y&7M7  
ddeexec(TP_COMMAND,cmd);  *-Y`7=^$  
cmd =['(entity:move block 0 0 -50)']; q,S[[{("  
ddeexec(TP_COMMAND,cmd); X
c8r[dX  
cmd =['(define Lens (bool:subtract Unite block))']; LB9D6,*t  
ddeexec(TP_COMMAND,cmd); CVUA7eG+  
cmd =['(property:apply-name Lens "Lens")']; 2tPW1"M.n  
ddeexec(TP_COMMAND,cmd); EHI%QT  
,', S  
%Close the DDE connection
I_hus  
ddeterm(TP_COMMAND); C7PVJnY0  

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