[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： :z B}z^8-  
% By Ruibin 08-9-25 +O)]^"TG  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Q Oz9\,C  
aRbx   
clear all;clc }X=87ud  
*f79=x  
% The Frist Step: Define independent parameters LYp'vZ!  
r=3.25;               %选择开孔半径 %0vTA_W  
R=4.25;               %定义曲面底部半径 HR;/Br  
d=1;                  %设置透镜前方平板高度 q.-y)C) ;  
n=1.4935;             %定义材料折射率 }KK2WJp#M  
dividing_angle=24;    %定义Core与TIR的分界角 M(qxq(#{U  
min_angle=1;          %设置计算精度 92!JKZe  
N=4;                  %设定拟合非球面系数阶数 >Y}7[XK  
>4,{6<|  
% The Second Step：Caculate induced variable W@l+ciZ_  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); yc*<:(p  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ?$3r5sx  
for i=1:(num_Core) 6^Ph '  
a_Core(i)=(angles_Core(i)*pi/180); Y5HfN[u^7  
k1(i)=cot(a_Core(i)); I[ai:   
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ,!`SY)  
end N;<//,  
k1(num_Core)=999;k2(num_Core)=0; fCB:733H  
for i=1:num_TIR CoJ55TAW  
a_TIR(i)=(angles_TIR(i)*pi/180); xS"$g9o0  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); WM/#.  
k4(i)=tan(asin(cos(a_TIR(i))/n)); $'^&\U~?  
end O7v]p  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); qtHfz"p  
qh-[L  
% The Third Step:Solve functions _().t5<  
for i=1:num_Core                    %Solve the curve of Core JX{KYU  
syms x; ~wTX>qV  
f1=k1(i)*x; <{giHT  
f2=k2(i)*(x-X0_Core)+Y0_Core; N=#4L
$@-  
f=f1-f2; 7$ d}!S  
x=double(solve(f));y=k1(i)*x; ^;zWWg/d  
X0_Core=x;Y0_Core=y; y?>#t^  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; e&2wdH&  
end vh &GIb  
for i=1:num_TIR                      %Solve the curve of TIR \83sSw  
syms x; 1i u =Y  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; \OcMiuw  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Z v4<b  
f=f1-f2; O-j$vzHpdY  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; E:FO_R(Xq  
X0_TIR=x;Y0_TIR=y; J='W+=N  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; "V
3}t4  
end JvkL37^n:  
.|uLt J  
% The furth Step:Fitting the curve )Pli})  
P_Core=polyfit(Px_Core,Py_Core,4); &3Tx@XhO  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ?>V6P_r>  
Xr
S\+y3  
% The fifth Step:Feedback chief dimensions of the lens and Create it 7 jjU  
%Feedback dimensions of the whole lens t[EfOQ  
result='透镜尺寸如下：' 8.?E[~  
Diameter_of_lens=2*Px_TIR(num_TIR) fYBH
)E  
Thickness_of_lens=Py_TIR(num_TIR)+d '"'Btxz  
Diameter_of_Core=2*r ID4~Gn  
Thickness_of_front_pannel=d f7J,&<<5w  
Bottom_thickness=R-r r~8;kcu7  
Lowest_Core=P_Core(5) `U{mbw,  
w(BH247`  
%Feedback dimensions of Lens part TIR .$Bwb/a  
result='TIR系数如下：' B,_`btJ
h  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d .+E#q&=  
Aperture=Px_TIR(num_TIR) LmQ/#Gx  
Obstruction=r z/1{OL  
Position=P_TIR(5) aI(>]sWJ  
format short e; gi]ZG  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] |;u}sX1t9  
format short; =Ikg.jYq&F  
f-g1[!"F  
%DDE Connection R#(G%66   
TP_COMMAND = ddeinit('TracePro','Scheme'); @T&t.|`  
%Create TIR H{V)g  
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)))']; 3]U]?h  
ddeexec(TP_COMMAND,cmd); +y&d;0!  
cmd =['(entity:move TIR 0 0 -2.3712)']; Y)XvlfJ,h?  
ddeexec(TP_COMMAND,cmd); Pl+xH%U+?  
cmd =['(property:apply-name TIR "TIR")']; j'GtgT  
ddeexec(TP_COMMAND,cmd); n.hElgkUOr  
kIvvEh<L=  
%Feedback dimensions of Lens part TIR phP>3f.T  
result='Core系数如下：' KWhZ +i`  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Ht[{ryTxu  
Aperture=r }nud  
Obstruction='None' jtKn3m7 +p  
Position=P_Core(5) a3@w|KLt  
format short e; |d7$*7TvV  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 44sy`e  
format short; O8|*M "  
%Create Core `cr(wdvI  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; ._CP% R  
ddeexec(TP_COMMAND,cmd); 7*s8ttX  
cmd =['(entity:move Core 0 0 5.9493)']; v27Ja .tA  
ddeexec(TP_COMMAND,cmd); &uM^0eM  
cmd =['(property:apply-name Core "Core")']; t`|,6qEG  
ddeexec(TP_COMMAND,cmd); nl1-kB)$e|  
& ,L9OU  
%Create Lens op7FZHs  
cmd =['(define Unite (bool:unite TIR Core))']; Yck~xt&]  
ddeexec(TP_COMMAND,cmd); 8
Fq_i-u  
cmd =['(define block (insert:block 100 100 100))']; <]G${
y*;  
ddeexec(TP_COMMAND,cmd); naNyGE7)  
cmd =['(entity:move block 0 0 -50)']; XU-m"_t  
ddeexec(TP_COMMAND,cmd); mlu 3K  
cmd =['(define Lens (bool:subtract Unite block))']; R,Oe$J<  
ddeexec(TP_COMMAND,cmd); %<Q*Jf  
cmd =['(property:apply-name Lens "Lens")']; $'"8QOnJ?k  
ddeexec(TP_COMMAND,cmd); ~}%~oT  
1u}nm;3  
%Close the DDE connection oRq!=eUu_  
ddeterm(TP_COMMAND); AQ{zx1^2>K  

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