[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： g00XZ0@  
% By Ruibin 08-9-25 :S
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% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. u9VJ{F  
66z1_lA  
clear all;clc @Vb-BC,  
"G4{;!0C  
% The Frist Step: Define independent parameters N'[^n,\(:  
r=3.25;               %选择开孔半径 nnr(\r~  
R=4.25;               %定义曲面底部半径 0eUsvzz15  
d=1;                  %设置透镜前方平板高度 RYvS,hf6z  
n=1.4935;             %定义材料折射率 m _:ib}  
dividing_angle=24;    %定义Core与TIR的分界角 2+ 9">a@  
min_angle=1;          %设置计算精度 U)c,ZxE  
N=4;                  %设定拟合非球面系数阶数 hg\$>W~2  
fmloh1{4  
% The Second Step：Caculate induced variable FQ O6w'  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); m\jp$  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Pb[wysy  
for i=1:(num_Core) nwV\[E  
a_Core(i)=(angles_Core(i)*pi/180); N^`F_R1Z  
k1(i)=cot(a_Core(i)); L4Kkbt<x  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Ng;E]2"  
end v)X1R/z5xw  
k1(num_Core)=999;k2(num_Core)=0; &LYU#$sj  
for i=1:num_TIR Iy`Zh@"~  
a_TIR(i)=(angles_TIR(i)*pi/180); >gVR5o  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); dq|z;,`  
k4(i)=tan(asin(cos(a_TIR(i))/n)); G]5'U"cj3  
end 'VO^H68  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); QEtZ]p1H@  
Vl'|l)b4W  
% The Third Step:Solve functions 30F&FTW  
for i=1:num_Core                    %Solve the curve of Core (^057  
syms x; b]*9![_  
f1=k1(i)*x; <$7*yV  
f2=k2(i)*(x-X0_Core)+Y0_Core; xJZbax[  
f=f1-f2; `Jz"rh-M  
x=double(solve(f));y=k1(i)*x; t;E-9`N  
X0_Core=x;Y0_Core=y; BIX%Bu0'f  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; /<y-pFTg  
end ZEHz/Y%  
for i=1:num_TIR                      %Solve the curve of TIR wRUpQ~=B2  
syms x; $7PFos%@  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; i mJ{wF  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); mqtl0P0  
f=f1-f2; mJWl#3  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ^$yr-p%-  
X0_TIR=x;Y0_TIR=y; }R.cqk\qa^  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; P3@
[x  
end QbS w<V  
| F:?  
% The furth Step:Fitting the curve @\[&_DZ  
P_Core=polyfit(Px_Core,Py_Core,4); VJJw"4DJ  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ywCE2N<-V?  
n_?<q{GW  
% The fifth Step:Feedback chief dimensions of the lens and Create it %'t~+_  
%Feedback dimensions of the whole lens v#D9yttO{  
result='透镜尺寸如下：' kqv>rA3  
Diameter_of_lens=2*Px_TIR(num_TIR) xOD;pRZQ  
Thickness_of_lens=Py_TIR(num_TIR)+d 0UlaB sv  
Diameter_of_Core=2*r KqaeRs.u  
Thickness_of_front_pannel=d `EV[uj&1S  
Bottom_thickness=R-r o-7>^wV%BD  
Lowest_Core=P_Core(5)  :E'38~  
$NJi]g|<3  
%Feedback dimensions of Lens part TIR R-hqaEB  
result='TIR系数如下：' J&Le*R'  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d &*L:4By)]  
Aperture=Px_TIR(num_TIR) 1<fEz  
Obstruction=r f{5)yZ`J*  
Position=P_TIR(5) t~XwF(";  
format short e; )SUT+x(DU  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ^vo^W:   
format short; 0.|tKetHq  
[#uX{!q'  
%DDE Connection z26zl[.  
TP_COMMAND = ddeinit('TracePro','Scheme'); hRGK W  
%Create TIR <@5#  
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|+m)A4@  
ddeexec(TP_COMMAND,cmd); xdp{y=,[  
cmd =['(entity:move TIR 0 0 -2.3712)']; H6r
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ddeexec(TP_COMMAND,cmd); .U9NQwd  
cmd =['(property:apply-name TIR "TIR")']; Qe]@`Vg  
ddeexec(TP_COMMAND,cmd); 0Q%'vBX\`  
.|KxQn}  
%Feedback dimensions of Lens part TIR :NS;y-{^^y  
result='Core系数如下：' QTK\"  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d yq\)8Fe  
Aperture=r N;RZIg(x  
Obstruction='None' t`H^! b  
Position=P_Core(5) <k/'mBDk  
format short e; 'Ys"yY@  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] @T]gwJ  
format short; ?nj _gL  
%Create Core y|iZuHS}  
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)))']; %|oY8;0|A>  
ddeexec(TP_COMMAND,cmd); #C4  
cmd =['(entity:move Core 0 0 5.9493)']; VLu_SXlo*  
ddeexec(TP_COMMAND,cmd); M)Tv(7  
cmd =['(property:apply-name Core "Core")']; Lg_y1Mu7o  
ddeexec(TP_COMMAND,cmd); @+B .<@V  
`H^Nc\P#  
%Create Lens r/:s2oQ  
cmd =['(define Unite (bool:unite TIR Core))']; cd*y{Wt  
ddeexec(TP_COMMAND,cmd); lb`P9mbr+  
cmd =['(define block (insert:block 100 100 100))']; 9j$ OU@N 8  
ddeexec(TP_COMMAND,cmd); Z(*nZT,  
cmd =['(entity:move block 0 0 -50)']; a%Cq?HZ7  
ddeexec(TP_COMMAND,cmd); <w.V!"!  
cmd =['(define Lens (bool:subtract Unite block))']; ZEUd?"gaR  
ddeexec(TP_COMMAND,cmd); t<}'/ )  
cmd =['(property:apply-name Lens "Lens")']; 9BNAj-Xa  
ddeexec(TP_COMMAND,cmd); ^yH|k@y  
-!(3fO:  
%Close the DDE connection  U7tT  
ddeterm(TP_COMMAND); o(C({]UO/  

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