[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： , 'pYR]3  
% By Ruibin 08-9-25 TNu%_ 34  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. V;SfW2`)  
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clear all;clc 3qWrSziD  
[+[W\6
 
% The Frist Step: Define independent parameters |O8e;v72g^  
r=3.25;               %选择开孔半径 rc=E%Qv%?  
R=4.25;               %定义曲面底部半径 3p#UEH3  
d=1;                  %设置透镜前方平板高度 s\*p|vc  
n=1.4935;             %定义材料折射率 48xgl1R(j  
dividing_angle=24;    %定义Core与TIR的分界角 RZz?_1'  
min_angle=1;          %设置计算精度 !@z9n\Yj  
N=4;                  %设定拟合非球面系数阶数 0}i 9`p  
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% The Second Step：Caculate induced variable IogLk
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angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 1]}\h]*  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); HYl+xH'.j  
for i=1:(num_Core) x.1=QF{!  
a_Core(i)=(angles_Core(i)*pi/180); d!I%AlV  
k1(i)=cot(a_Core(i)); Ec7xwPk  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 11PL1zzH  
end 1RkN^FZOxq  
k1(num_Core)=999;k2(num_Core)=0; 2tz4Ag  
for i=1:num_TIR u$w.'lK  
a_TIR(i)=(angles_TIR(i)*pi/180); gc4o |x  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); rVabkwYD  
k4(i)=tan(asin(cos(a_TIR(i))/n)); W8<QgpV*  
end }cz
58%  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 0hS&4nW  

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% The Third Step:Solve functions Md6u4c  
for i=1:num_Core                    %Solve the curve of Core u8"s#%>Ny  
syms x; H;=yR]E  
f1=k1(i)*x; hTBJ
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f2=k2(i)*(x-X0_Core)+Y0_Core; % 3#g-  
f=f1-f2; 1^k}GXsWmE  
x=double(solve(f));y=k1(i)*x; yK{P%oh)  
X0_Core=x;Y0_Core=y; mpYBMSLM  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; S(=@2A+;  
end cJSNV*<  
for i=1:num_TIR                      %Solve the curve of TIR 88u[s@  
syms x; B~o3Z  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; x.gzsd  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 2K~v`c*4  
f=f1-f2; CQ!D{o=  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; PCCE+wC6  
X0_TIR=x;Y0_TIR=y; HtN:v  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ]FR#ZvM>x  
end 0,0WdJAe  
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% The furth Step:Fitting the curve :{w3l O  
P_Core=polyfit(Px_Core,Py_Core,4); 9Zx| L/\  
P_TIR=polyfit(Px_TIR,Py_TIR,4); %YxKWZ/?  
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% The fifth Step:Feedback chief dimensions of the lens and Create it }r04*P(  
%Feedback dimensions of the whole lens X'd\b}Bm  
result='透镜尺寸如下：' n_sV>$f-u  
Diameter_of_lens=2*Px_TIR(num_TIR) =YM  
Thickness_of_lens=Py_TIR(num_TIR)+d Vb 36R_u  
Diameter_of_Core=2*r , wk}[MF  
Thickness_of_front_pannel=d a[t"J*0  
Bottom_thickness=R-r 1sUgjyGQ  
Lowest_Core=P_Core(5) Ps! \k%FUl  
ruhC:rg:/  
%Feedback dimensions of Lens part TIR .==c~>N  
result='TIR系数如下：' Lh+7z>1  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d S?DMeZ{:  
Aperture=Px_TIR(num_TIR) 6heK8*.T  
Obstruction=r uT
oi4]w"y  
Position=P_TIR(5) %5ov!nm7  
format short e; x>i =  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ddYb=L+_b  
format short; = CXX.%N  
:t;\`gQoS  
%DDE Connection Y}vV.q  
TP_COMMAND = ddeinit('TracePro','Scheme'); W__$ i<1  
%Create TIR k]4CN  
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)))']; 7WV"Wrl]  
ddeexec(TP_COMMAND,cmd); "97sH_ ,  
cmd =['(entity:move TIR 0 0 -2.3712)']; ='#7yVVcs  
ddeexec(TP_COMMAND,cmd); J^kSp  
cmd =['(property:apply-name TIR "TIR")']; z#5qI',L  
ddeexec(TP_COMMAND,cmd); vSQB~Vw8t  
:>y5'q@R  
%Feedback dimensions of Lens part TIR ^b&hy&ag  
result='Core系数如下：' 0l(G7Ju  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d j1JdG<n  
Aperture=r ,[n=PJVw/  
Obstruction='None' lz).=N}m  
Position=P_Core(5) CyS.GdyP  
format short e; 5"#xbvRS0H  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 787i4h:71  
format short; 9dg+@FS}=  
%Create Core Gy
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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)))']; ~@^pX*%i  
ddeexec(TP_COMMAND,cmd); Ud-c+, xX  
cmd =['(entity:move Core 0 0 5.9493)']; Lz-(1~o  
ddeexec(TP_COMMAND,cmd); pfk)_;>,  
cmd =['(property:apply-name Core "Core")']; -P]onD  
ddeexec(TP_COMMAND,cmd); \a:-xwUu<  
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%Create Lens J@Nq  
cmd =['(define Unite (bool:unite TIR Core))']; yX\~{%  
ddeexec(TP_COMMAND,cmd); <XpG5vV  
cmd =['(define block (insert:block 100 100 100))']; ovtZHq/  
ddeexec(TP_COMMAND,cmd); K
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cmd =['(entity:move block 0 0 -50)']; G*VcAJ[  
ddeexec(TP_COMMAND,cmd); pr"q-S>E  
cmd =['(define Lens (bool:subtract Unite block))']; Oi!uJofW  
ddeexec(TP_COMMAND,cmd); ;>p{|^X0D  
cmd =['(property:apply-name Lens "Lens")']; ds+0y;vc  
ddeexec(TP_COMMAND,cmd); :as2fO$?  
v~O2y>8Z  
%Close the DDE connection \T!tUd  
ddeterm(TP_COMMAND); cj3P]2B#  

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