[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： Zl+Ba  
% By Ruibin 08-9-25 e[a?5,s2  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 2{o eJ  
xK3}zN$T  
clear all;clc V,CVMbn/%N  
kX^Y{73  
% The Frist Step: Define independent parameters 2E":6:Wsw  
r=3.25;               %选择开孔半径 9xm'0 '  
R=4.25;               %定义曲面底部半径 >AT T<U=  
d=1;                  %设置透镜前方平板高度 hO@VYO  
n=1.4935;             %定义材料折射率 =fr_` "?k  
dividing_angle=24;    %定义Core与TIR的分界角 %VD>S  
min_angle=1;          %设置计算精度 VU[4 W8f  
N=4;                  %设定拟合非球面系数阶数 <>FpvdB  
>C|i^4ppI  
% The Second Step：Caculate induced variable %"0g}tK6  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); =icynW^Fr  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); zU)Ib<$  
for i=1:(num_Core) p/k6}Wl  
a_Core(i)=(angles_Core(i)*pi/180); 7#BUd/  
k1(i)=cot(a_Core(i)); y`OL^D4  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); f
udIUG.  
end xi
=\]  
k1(num_Core)=999;k2(num_Core)=0; h#>%\Pvt;  
for i=1:num_TIR oJEUNgY&  
a_TIR(i)=(angles_TIR(i)*pi/180); V=v7<I=]  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); d]*a:>58  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ZCbnDj  
end XeT{y]lkd  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Z/S7ei@56  
D!oELZ3  
% The Third Step:Solve functions ?{ 0MF  
for i=1:num_Core                    %Solve the curve of Core ny]R,D0  
syms x; 1/H9(2{L  
f1=k1(i)*x; k7gm)}RKcu  
f2=k2(i)*(x-X0_Core)+Y0_Core; =#"ZO  
f=f1-f2; _26<}&]b*  
x=double(solve(f));y=k1(i)*x; TEK]$%2  
X0_Core=x;Y0_Core=y; 855JAf  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :sY pZX1  
end u`]J]gE  
for i=1:num_TIR                      %Solve the curve of TIR hZobFf  
syms x; 5k^UZw  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; JPt=~e(  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); a\Ond#1p
 
f=f1-f2; Oa'DVfw2J  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ^atX/  
X0_TIR=x;Y0_TIR=y; 7jZ=+2  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; / ao|v  
end @,Iyn<v{B  
kT+Idu  
% The furth Step:Fitting the curve 8a^E{x@HT  
P_Core=polyfit(Px_Core,Py_Core,4); 8"zFTP*;u  
P_TIR=polyfit(Px_TIR,Py_TIR,4); uP-I7l0i1  
9f ^c9@=  
% The fifth Step:Feedback chief dimensions of the lens and Create it Whd2mKwiO  
%Feedback dimensions of the whole lens xSQ:#o=8G  
result='透镜尺寸如下：' =
wEqI)Td  
Diameter_of_lens=2*Px_TIR(num_TIR) %`cP|k  
Thickness_of_lens=Py_TIR(num_TIR)+d csPziH$wl  
Diameter_of_Core=2*r H40~i=.  
Thickness_of_front_pannel=d B
P6|^Q  
Bottom_thickness=R-r #]iSh(|8  
Lowest_Core=P_Core(5) ?J<V-,i  
YjTRz.e{[7  
%Feedback dimensions of Lens part TIR R*l#[D5A  
result='TIR系数如下：' FG^Jh5  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d YQ&Ww|xe  
Aperture=Px_TIR(num_TIR) r{V=)h  
Obstruction=r q;
^Q1[Ari  
Position=P_TIR(5) +ti_?gfx  
format short e; e-Xr^@M*Q  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] [=})^t?8  
format short; &.zG?e.  
fq@r6\TI  
%DDE Connection _NfdJ=[Xh  
TP_COMMAND = ddeinit('TracePro','Scheme'); J 8z|ua  
%Create TIR OM]d}}=Y  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; 5@YrtZI  
ddeexec(TP_COMMAND,cmd); oV)#s!  
cmd =['(entity:move TIR 0 0 -2.3712)']; )<?^~"h  
ddeexec(TP_COMMAND,cmd); 6%hr]>L  
cmd =['(property:apply-name TIR "TIR")']; %yjz@  
ddeexec(TP_COMMAND,cmd); gH+s)6  
o_.f7|U!  
%Feedback dimensions of Lens part TIR \i*QKV<  
result='Core系数如下：' 1%v!8$  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ,eI2#6w|C  
Aperture=r S~~G0GiW  
Obstruction='None' ^/0c`JG!x  
Position=P_Core(5) B1x# 7>K  
format short e; r9nyEzk  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Q"6:W2#v  
format short; Z
%Kkh2-uh  
%Create Core BwLggo  
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)))']; 7Rba@ cs9  
ddeexec(TP_COMMAND,cmd); K@JGGgrE`!  
cmd =['(entity:move Core 0 0 5.9493)']; ma +iIt;  
ddeexec(TP_COMMAND,cmd); EO&PabZWR  
cmd =['(property:apply-name Core "Core")']; mW/6FC  
ddeexec(TP_COMMAND,cmd); JE a~avyJ  
m| /?((s  
%Create Lens
iI!MF1  
cmd =['(define Unite (bool:unite TIR Core))']; FO"sE`  
ddeexec(TP_COMMAND,cmd); 6n|R<DO%\  
cmd =['(define block (insert:block 100 100 100))']; SBf8Ipe  
ddeexec(TP_COMMAND,cmd); #~_ZG% u  
cmd =['(entity:move block 0 0 -50)']; GOKca%DT=  
ddeexec(TP_COMMAND,cmd); $s2Y,0>I6  
cmd =['(define Lens (bool:subtract Unite block))']; I"=a:q  
ddeexec(TP_COMMAND,cmd); ~t>i+{JKE  
cmd =['(property:apply-name Lens "Lens")']; n(}W[bZ4  
ddeexec(TP_COMMAND,cmd); YB`;<+sY  
#j+0jFu  
%Close the DDE connection -4%{Jb-1  
ddeterm(TP_COMMAND); 8h.Dc&V  

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