[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： baII!ks  
% By Ruibin 08-9-25 B~KxUp  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. (46'#E z[F  
CXuD%H]tx  
clear all;clc [G|.  
gE2(E0H  
% The Frist Step: Define independent parameters `;6M|5G  
r=3.25;               %选择开孔半径 'OtTq8G  
R=4.25;               %定义曲面底部半径 ]LC4rS  
d=1;                  %设置透镜前方平板高度 G)?*BH  
n=1.4935;             %定义材料折射率 b}R_@_<u  
dividing_angle=24;    %定义Core与TIR的分界角 ^}-l["u`  
min_angle=1;          %设置计算精度 _:m70%i  
N=4;                  %设定拟合非球面系数阶数 y 9]d{:9  
y5j:+2|I  
% The Second Step：Caculate induced variable OOSf<I*>  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle);  pRobx  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); .A< HM}   
for i=1:(num_Core) EE 1D>I  
a_Core(i)=(angles_Core(i)*pi/180); ML12&E>  
k1(i)=cot(a_Core(i)); 3$!QP N  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); I+& T}R  
end })-V,\  
k1(num_Core)=999;k2(num_Core)=0; FLMiW]?x  
for i=1:num_TIR ]jhi"BM  
a_TIR(i)=(angles_TIR(i)*pi/180); 9xK>fM&u  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); &}p\&4  
k4(i)=tan(asin(cos(a_TIR(i))/n)); k_V+;&:%  
end utZI'5i  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); r*`e%`HU   
qIZ+%ZOu  
% The Third Step:Solve functions }U_^zQfaj  
for i=1:num_Core                    %Solve the curve of Core aze#Cn,P}  
syms x; 9A.NM+u7  
f1=k1(i)*x; -t4:%-wv  
f2=k2(i)*(x-X0_Core)+Y0_Core; cn} CI  
f=f1-f2; .:j{d}p}  
x=double(solve(f));y=k1(i)*x; K]m#~J3d>  
X0_Core=x;Y0_Core=y; -w"I  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 6)^*DJy  
end fYP,V0P  
for i=1:num_TIR                      %Solve the curve of TIR B9"o Ru^}  
syms x; v"1&xe^4  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; u* pQVU  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); t08U9`w  
f=f1-f2; o
mpr})c  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ~%*l>GkP*  
X0_TIR=x;Y0_TIR=y; N9/k`ZGC  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; @:zC!dR)G  
end vb~%u;zrC@  
@sn:%/x_  
% The furth Step:Fitting the curve ZvF#J_%gE5  
P_Core=polyfit(Px_Core,Py_Core,4); viG=Ap.Th  
P_TIR=polyfit(Px_TIR,Py_TIR,4); W@AHE?s6g  
%_E5B6xi{  
% The fifth Step:Feedback chief dimensions of the lens and Create it i<Ms2^  
%Feedback dimensions of the whole lens HMUx/M.j  
result='透镜尺寸如下：' KcV"<9rE  
Diameter_of_lens=2*Px_TIR(num_TIR) M#^q <K %  
Thickness_of_lens=Py_TIR(num_TIR)+d 9mDdX
 
Diameter_of_Core=2*r t_Eivm-,B  
Thickness_of_front_pannel=d ti+e U$  
Bottom_thickness=R-r K;"H$0!9  
Lowest_Core=P_Core(5) R WY>`.su  
X]}ai5  
%Feedback dimensions of Lens part TIR <o()14  
result='TIR系数如下：' 85# 3|5n  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d G
%~Vb  
Aperture=Px_TIR(num_TIR) PNAvT$0LaZ  
Obstruction=r [Z/P[370  
Position=P_TIR(5) bq7+l4CGTv  
format short e; eFs5l  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ;*qXjv& K  
format short; i%133in  
^iEf"r  
%DDE Connection S<]k0bC  
TP_COMMAND = ddeinit('TracePro','Scheme'); yam'LF  
%Create TIR  $Z&6  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; <IR@/b!,  
ddeexec(TP_COMMAND,cmd); =Jl\^u%H(x  
cmd =['(entity:move TIR 0 0 -2.3712)']; *P *.'XM  
ddeexec(TP_COMMAND,cmd); Ds] .Ae  
cmd =['(property:apply-name TIR "TIR")']; AT t.}-  
ddeexec(TP_COMMAND,cmd); %rs2{Q2k  
> U3>I^Y  
%Feedback dimensions of Lens part TIR Lb$Uba-_  
result='Core系数如下：' *}:P  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d z]g#2xD2  
Aperture=r .nIGs'P  
Obstruction='None' FsUH/Y y  
Position=P_Core(5) 7Z
]?a  
format short e; \|X 1  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] w#9.U7@.  
format short; 0 F8xS8vK+  
%Create Core WClprSl8  
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)))']; iU.` TqR7  
ddeexec(TP_COMMAND,cmd); mu0L_u(P  
cmd =['(entity:move Core 0 0 5.9493)'];  @B{  
ddeexec(TP_COMMAND,cmd); t#M[w|5?  
cmd =['(property:apply-name Core "Core")']; !pe[H*Cy  
ddeexec(TP_COMMAND,cmd); FBP #_"z  
P `<TO   
%Create Lens 8u[.s`^  
cmd =['(define Unite (bool:unite TIR Core))']; CNuE9|W(vI  
ddeexec(TP_COMMAND,cmd); T\zn&6  
cmd =['(define block (insert:block 100 100 100))']; d<?Zaehe\  
ddeexec(TP_COMMAND,cmd); "c~``i\G  
cmd =['(entity:move block 0 0 -50)']; Q>yj<DR  
ddeexec(TP_COMMAND,cmd); 49/2E@G4.  
cmd =['(define Lens (bool:subtract Unite block))']; 7g8\q@',  
ddeexec(TP_COMMAND,cmd); hDJ+Rk@  
cmd =['(property:apply-name Lens "Lens")']; hQ%X0X,  
ddeexec(TP_COMMAND,cmd); sk5=$My  
9&
kY>M>z0  
%Close the DDE connection  svo%NQ  
ddeterm(TP_COMMAND); #\F8(lZ  

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