[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： 0<Rq  
% By Ruibin 08-9-25 "Qk)EY  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 
MZ^(BOe_  
)|&FBz;  
clear all;clc Z>.('  
o#-^Lg&
 
% The Frist Step: Define independent parameters F>k/;@d  
r=3.25;               %选择开孔半径 LoO"d'{  
R=4.25;               %定义曲面底部半径 Dyj>dh-  
d=1;                  %设置透镜前方平板高度 DNRWE1P2bg  
n=1.4935;             %定义材料折射率 ,/eAns`ZU  
dividing_angle=24;    %定义Core与TIR的分界角 DLoH.Fd  
min_angle=1;          %设置计算精度 As|e=ut(  
N=4;                  %设定拟合非球面系数阶数 K{iC'^wP  
gS!zaD7Nr  
% The Second Step：Caculate induced variable  %d0BQ|  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); *3(mNpi{_  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); PSU}
fo  
for i=1:(num_Core) :!wt/Y  
a_Core(i)=(angles_Core(i)*pi/180); mfk^t`w_  
k1(i)=cot(a_Core(i)); 2GRv%:rZ  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 5?>ES*  
end (J.U{N v  
k1(num_Core)=999;k2(num_Core)=0; 
CH0Nkf  
for i=1:num_TIR &iaS3x  
a_TIR(i)=(angles_TIR(i)*pi/180); &Y2Dft_K  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); D1wONss  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 7J|nqr`>t  
end R-Gg= l5  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); YN7JJJ/~T  
L1QDA}6?_Y  
% The Third Step:Solve functions ufocj1IU  
for i=1:num_Core                    %Solve the curve of Core eI/5foA  
syms x; T:*l+<?  
f1=k1(i)*x; =F46v{la  
f2=k2(i)*(x-X0_Core)+Y0_Core; rb]?"lizi  
f=f1-f2; ^(Wu$\SA  
x=double(solve(f));y=k1(i)*x; V=H:`n3k  
X0_Core=x;Y0_Core=y; 5wC,:c[H7  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core;  =tc!"{  
end Fzy5k?R  
for i=1:num_TIR                      %Solve the curve of TIR %0%Tp  
syms x; {vp*m:K  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; #l!nBY~  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); *_K*GCy  
f=f1-f2; pL
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x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; sY&Z/Y  
X0_TIR=x;Y0_TIR=y; KESM5p"f  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Yb%#\.M/y  
end ~P'i /*:  
eaDG7+iS  
% The furth Step:Fitting the curve rXq{WS`  
P_Core=polyfit(Px_Core,Py_Core,4); <sls1,  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ">vi=Tr  
/Edq[5Ah  
% The fifth Step:Feedback chief dimensions of the lens and Create it $#E!/vVwD7  
%Feedback dimensions of the whole lens aAgQ^LY  
result='透镜尺寸如下：' V+t's*9o3  
Diameter_of_lens=2*Px_TIR(num_TIR) wJh/tb=$o  
Thickness_of_lens=Py_TIR(num_TIR)+d v4F+^0?  
Diameter_of_Core=2*r upGLZ#  
Thickness_of_front_pannel=d XfN(7d0  
Bottom_thickness=R-r gKtgW&PYm  
Lowest_Core=P_Core(5) W"&,=wvg2  
LX#gc.c  
%Feedback dimensions of Lens part TIR }ldpudU  
result='TIR系数如下：' DTHWL  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d }lGui>/D  
Aperture=Px_TIR(num_TIR) M[(
pLYq:  
Obstruction=r |mcc?*%t8  
Position=P_TIR(5) ?@;#|^k9  
format short e; %a!gN  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] G"h}6Za;DO  
format short; \J;_%-Z  
9+3 VK  
%DDE Connection .AZwVP<  
TP_COMMAND = ddeinit('TracePro','Scheme'); tTWEhHQ`  
%Create TIR B:Hr{%O  
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)))']; PlCj<b1D:  
ddeexec(TP_COMMAND,cmd); OsKtxtLO  
cmd =['(entity:move TIR 0 0 -2.3712)']; _tE55X&  
ddeexec(TP_COMMAND,cmd); /*MioaQB}p  
cmd =['(property:apply-name TIR "TIR")']; ^9kx3Pw?8  
ddeexec(TP_COMMAND,cmd); uaZHM@D  
n}c~+0`un  
%Feedback dimensions of Lens part TIR Nnq1&j"m  
result='Core系数如下：' gFsqCx<q  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 8e1Z:axn0  
Aperture=r zjOOEvi  
Obstruction='None' tS-gaT`T  
Position=P_Core(5) x,ZF+vE  
format short e; P>(FCX  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] kpxGC,I^*.  
format short; Q!_d6-*u  
%Create Core wxYGr`f  
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)))']; b
`@J"E}  
ddeexec(TP_COMMAND,cmd); /aIGq/;Y+a  
cmd =['(entity:move Core 0 0 5.9493)']; E;[Uhh|78!  
ddeexec(TP_COMMAND,cmd); 7Gy:T47T\@  
cmd =['(property:apply-name Core "Core")']; Ov^##E  
ddeexec(TP_COMMAND,cmd); W
#=,FZT  
b'Km-'MtH  
%Create Lens 3#Bb4\_v  
cmd =['(define Unite (bool:unite TIR Core))']; Keem\/  
ddeexec(TP_COMMAND,cmd); Gr#3GvL  
cmd =['(define block (insert:block 100 100 100))']; pdvnpzj  
ddeexec(TP_COMMAND,cmd); <'N:K@Cs  
cmd =['(entity:move block 0 0 -50)']; ]qxl^Himq  
ddeexec(TP_COMMAND,cmd); `.J17mQe"  
cmd =['(define Lens (bool:subtract Unite block))']; z+-o}i  
ddeexec(TP_COMMAND,cmd);
x0WinLQ  
cmd =['(property:apply-name Lens "Lens")']; w)`XM  
ddeexec(TP_COMMAND,cmd); 9bspf {  
: ]
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%Close the DDE connection PjH'5Y  
ddeterm(TP_COMMAND); _^NyLI%  

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