[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： WZn;u3,R  
% By Ruibin 08-9-25 fh3uo\`@  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. .Z'NH wCy  
R&;x_4dr^  
clear all;clc jT$J~MpHh  
/CO=!*7fz  
% The Frist Step: Define independent parameters JxwKTFU'3O  
r=3.25;               %选择开孔半径 CEkUXsp  
R=4.25;               %定义曲面底部半径 s|A[HQUtJ  
d=1;                  %设置透镜前方平板高度 \V!{z;.fA  
n=1.4935;             %定义材料折射率 k<Gmb~Tg1  
dividing_angle=24;    %定义Core与TIR的分界角 0$c(<+D  
min_angle=1;          %设置计算精度 A03io8D6  
N=4;                  %设定拟合非球面系数阶数 yP# Y:s  
)
Jk$j  
% The Second Step：Caculate induced variable @(35I  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); xok T  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); i6k6l%  
for i=1:(num_Core) 8Cp@k=  
a_Core(i)=(angles_Core(i)*pi/180); A :KZyd"Z  
k1(i)=cot(a_Core(i)); qhvT,"  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ]tT=jN&(  
end LYL_Ah'=  
k1(num_Core)=999;k2(num_Core)=0; &.DRAD)  
for i=1:num_TIR u9KT_` )  
a_TIR(i)=(angles_TIR(i)*pi/180); iYvzZ7 8f  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); EC8Z. Uu  
k4(i)=tan(asin(cos(a_TIR(i))/n)); FCEmg0qdjD  
end !KOa'Ic$V  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); $Z]@N nA9N  
Qd YYWD   
% The Third Step:Solve functions cL*oO@I&_  
for i=1:num_Core                    %Solve the curve of Core !9NF@e'&!  
syms x; '+{yg+#/wV  
f1=k1(i)*x; R|8L'H+1x  
f2=k2(i)*(x-X0_Core)+Y0_Core; .rO~a.kG  
f=f1-f2; syg{qtBz^  
x=double(solve(f));y=k1(i)*x; 0]*W0#{Zj  
X0_Core=x;Y0_Core=y; 0n6eWwY  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Q njK<}M9  
end YYFS ({  
for i=1:num_TIR                      %Solve the curve of TIR _F[a2PE2+  
syms x; KzV|::S^  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; de2G"'F  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); "]G'^  
f=f1-f2; IoJI|lP  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; B,_K mHItd  
X0_TIR=x;Y0_TIR=y; C}<e3BXc  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; dl8f]y#Q  
end BNjMq  
F%$q]J[  
% The furth Step:Fitting the curve p<'pqf  
P_Core=polyfit(Px_Core,Py_Core,4); 7K.],eo0  
P_TIR=polyfit(Px_TIR,Py_TIR,4); t^KQv~  
(n.IK/:  
% The fifth Step:Feedback chief dimensions of the lens and Create it 3GKKC9C6  
%Feedback dimensions of the whole lens @.a59kP8X  
result='透镜尺寸如下：' *rw6?u9I  
Diameter_of_lens=2*Px_TIR(num_TIR) 8(Ptse  ,  
Thickness_of_lens=Py_TIR(num_TIR)+d m%})H"5  
Diameter_of_Core=2*r m?yztm~u  
Thickness_of_front_pannel=d r
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Bottom_thickness=R-r 0iM'),v[]  
Lowest_Core=P_Core(5) 6(7{|iY  
=s*c(>  
%Feedback dimensions of Lens part TIR {aV,h@>  
result='TIR系数如下：' n(#yGzq  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d g
|| q 3  
Aperture=Px_TIR(num_TIR) ;Dp*.YJ  
Obstruction=r p|nPu*R-\  
Position=P_TIR(5) VhLfSN>W  
format short e;
q%q+2P>  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Z]{=Jy!F  
format short; X=f%!
  

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%DDE Connection "AXgT[ O  
TP_COMMAND = ddeinit('TracePro','Scheme'); S2|pn\0V  
%Create TIR @>$qb|j  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; 2f%+1uU  
ddeexec(TP_COMMAND,cmd); t+F_/_"B  
cmd =['(entity:move TIR 0 0 -2.3712)']; J9tV|
0  
ddeexec(TP_COMMAND,cmd); vJi<PQ6  
cmd =['(property:apply-name TIR "TIR")']; j~.tyxOq#  
ddeexec(TP_COMMAND,cmd); -&1P2m/46  
0/|Ax-dK  
%Feedback dimensions of Lens part TIR l?_Fy_fBt  
result='Core系数如下：' tj*0Y-F~  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d gzvgXZ1q"  
Aperture=r [OOQ0c~  
Obstruction='None' 4Ng:7C2  
Position=P_Core(5) )f^^hEIS  
format short e; AFBWiuwI3  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] P~lU`.X}  
format short; Yc6.v8a  
%Create Core icIWv  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; hg<[@Q%$o  
ddeexec(TP_COMMAND,cmd); .]4MtG  
cmd =['(entity:move Core 0 0 5.9493)']; 2/A*\  
ddeexec(TP_COMMAND,cmd); `S-%}eUv  
cmd =['(property:apply-name Core "Core")']; uJ0'`Q?6R9  
ddeexec(TP_COMMAND,cmd); HrZX~JnTmf  
"WtYqXyd  
%Create Lens jK[*_V  
cmd =['(define Unite (bool:unite TIR Core))']; yDZm)|<.  
ddeexec(TP_COMMAND,cmd); aY.cx1"  
cmd =['(define block (insert:block 100 100 100))']; cl4_M{~  
ddeexec(TP_COMMAND,cmd); jy>?+hm?  
cmd =['(entity:move block 0 0 -50)']; (xTGt",_Jo  
ddeexec(TP_COMMAND,cmd); hP.Km%C)0n  
cmd =['(define Lens (bool:subtract Unite block))']; g2==`f!i  
ddeexec(TP_COMMAND,cmd); -(lP8Y~gFY  
cmd =['(property:apply-name Lens "Lens")']; ]o=ON95ja  
ddeexec(TP_COMMAND,cmd); %;u"2L0@  
2)0J@r'  
%Close the DDE connection w 2U302TZ  
ddeterm(TP_COMMAND); ]2|fc5G'  

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