[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(p\0V  
% By Ruibin 08-9-25 9Zry]$0~R
 
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 9a\nszwa  
[ EFMu;q  
clear all;clc Spo?i.#  
Zwcy4>8  
% The Frist Step: Define independent parameters |@,|F:h<M  
r=3.25;               %选择开孔半径 <FMq>d$\  
R=4.25;               %定义曲面底部半径 b|Q)[y]  
d=1;                  %设置透镜前方平板高度 $aHAv/&(5  
n=1.4935;             %定义材料折射率 8
}H1_y-g[  
dividing_angle=24;    %定义Core与TIR的分界角 />'V!iWyz  
min_angle=1;          %设置计算精度 5aad$f  
N=4;                  %设定拟合非球面系数阶数 {3})=>u:S  
3nT Z)L }  
% The Second Step：Caculate induced variable M(#m0xB  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); +^*iZ6{+7  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); lo%;aK  
for i=1:(num_Core) PH"hn
]  
a_Core(i)=(angles_Core(i)*pi/180); N#lDW~e'  
k1(i)=cot(a_Core(i)); .@ xF6UZ  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); x21dku<6K[  
end %Qg+R26U  
k1(num_Core)=999;k2(num_Core)=0; +&zYZA8v  
for i=1:num_TIR Kp+CH7I*  
a_TIR(i)=(angles_TIR(i)*pi/180); E_KCNn-f  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); b:qY gg  
k4(i)=tan(asin(cos(a_TIR(i))/n)); #r PP*  
end Zm
OfEg|h\  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); $$:ZX  
%uv?we7  
% The Third Step:Solve functions r=yK,d/1  
for i=1:num_Core                    %Solve the curve of Core jx acg^c  
syms x; `eu9dLzH  
f1=k1(i)*x; Y#!h9F  
f2=k2(i)*(x-X0_Core)+Y0_Core; PtqJ*Z  
f=f1-f2; pP(XIC  
x=double(solve(f));y=k1(i)*x; E}%hz*Q)(  
X0_Core=x;Y0_Core=y; + [Hh,I7  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; d #jK=:eK  
end 3\T2?w9u(  
for i=1:num_TIR                      %Solve the curve of TIR 42>Ge>#F  
syms x; ~=R SKyzt  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; =^ T\Xs;GK  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 1-.~7yC  
f=f1-f2; <b/~.$a'  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; '+j} >Q  
X0_TIR=x;Y0_TIR=y; nQ|r"|g  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ~b{Gz6u>  
end s,a}?W  
Be+0NXLVy  
% The furth Step:Fitting the curve qRbf2;  
P_Core=polyfit(Px_Core,Py_Core,4); fO#vF.k%  
P_TIR=polyfit(Px_TIR,Py_TIR,4); T{wuj[Q#:  
:$MG*/Q  
% The fifth Step:Feedback chief dimensions of the lens and Create it $=?@*p  
%Feedback dimensions of the whole lens d GP*O  
result='透镜尺寸如下：' mZ1)wH,  
Diameter_of_lens=2*Px_TIR(num_TIR) vM_:&j_?``  
Thickness_of_lens=Py_TIR(num_TIR)+d lsN~*q?~]  
Diameter_of_Core=2*r Fs[aa#v4B  
Thickness_of_front_pannel=d m|OO,gR  
Bottom_thickness=R-r %'0TXr$  
Lowest_Core=P_Core(5) VY)s+Bx  
tE7[Smzuf  
%Feedback dimensions of Lens part TIR :x_'i_w  
result='TIR系数如下：' Ecs,$\  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d $['Bv  
Aperture=Px_TIR(num_TIR) +**!@uY  
Obstruction=r BC'llD  
Position=P_TIR(5) FZ8b7nJ)4m  
format short e; [ Bl c^C{f  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ?ve#} \  
format short; KD^N)&k^Kp  
}jill+]  
%DDE Connection sUPz/Z.h  
TP_COMMAND = ddeinit('TracePro','Scheme'); F
v<`AU  
%Create TIR :T9<der,  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; }`+B=h-dW  
ddeexec(TP_COMMAND,cmd); /r_~:3F  
cmd =['(entity:move TIR 0 0 -2.3712)']; <id}<H  
ddeexec(TP_COMMAND,cmd); ,-z9 #t  
cmd =['(property:apply-name TIR "TIR")']; q{+_ <2U|  
ddeexec(TP_COMMAND,cmd); &IlU|4`R%  
qTQBt}  
%Feedback dimensions of Lens part TIR vB+ '  
result='Core系数如下：' `=7j$#6U  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Y3O#Q)-j$  
Aperture=r 4 {9B9={  
Obstruction='None' .H,xl
e  
Position=P_Core(5) In[Cr/&/Y  
format short e; jMpD+Mb  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] H'HSD,>(  
format short; xZV1k~C  
%Create Core 9Vf1Xz  
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)))']; (dv]=5""  
ddeexec(TP_COMMAND,cmd); +T8B:  
cmd =['(entity:move Core 0 0 5.9493)']; ,*7d  
ddeexec(TP_COMMAND,cmd); Ge<nxl<Bd  
cmd =['(property:apply-name Core "Core")']; a.z;t8  
ddeexec(TP_COMMAND,cmd); f^VP/rdg  
: >>@rF ,  
%Create Lens <mAhr  
cmd =['(define Unite (bool:unite TIR Core))']; LQjsOo  
ddeexec(TP_COMMAND,cmd); 6"}?.E$  
cmd =['(define block (insert:block 100 100 100))']; 5YrBW:_OI  
ddeexec(TP_COMMAND,cmd); JY6 Qp  
cmd =['(entity:move block 0 0 -50)']; #UbF9})q  
ddeexec(TP_COMMAND,cmd); q&d~ \{J  
cmd =['(define Lens (bool:subtract Unite block))']; ?Ae ven  
ddeexec(TP_COMMAND,cmd); Qf@  
cmd =['(property:apply-name Lens "Lens")']; 0tU.(  
ddeexec(TP_COMMAND,cmd); &iV,W4  
p}cw{  
%Close the DDE connection RSo&(Uv  
ddeterm(TP_COMMAND); >;[*!<pfK5  

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