[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： <*5`TE0J  
% By Ruibin 08-9-25 Rmh u"N/q  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. bVYsPS  
n/Dk~Q)  
clear all;clc f4&k48Ds  
UszR. Z  
% The Frist Step: Define independent parameters d6{
0[T^L  
r=3.25;               %选择开孔半径 QS2~}{v  
R=4.25;               %定义曲面底部半径 & 6~AY:0r  
d=1;                  %设置透镜前方平板高度 r9$7P?zm  
n=1.4935;             %定义材料折射率 lv\^@9r  
dividing_angle=24;    %定义Core与TIR的分界角 Oy~X@A  
min_angle=1;          %设置计算精度 Df=zrs["  
N=4;                  %设定拟合非球面系数阶数 sr`)l&t?  
D]WU,a[$Bc  
% The Second Step：Caculate induced variable E?F?)!%  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); L+TM3*a*  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); $d%NFc&  
for i=1:(num_Core) 5vjtF4}7!  
a_Core(i)=(angles_Core(i)*pi/180); 99&PY[f:{  
k1(i)=cot(a_Core(i)); $/;<~Pzi  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); I>45xVA  
end Q)l~?Fx  
k1(num_Core)=999;k2(num_Core)=0; IC@-`S#F  
for i=1:num_TIR ;Ak 6*Sr  
a_TIR(i)=(angles_TIR(i)*pi/180); I=o/1:[-  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); =YeI,KbA)  
k4(i)=tan(asin(cos(a_TIR(i))/n)); S}XVr?l2O  
end AX2On}&bf  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); F)4;:".zna  
j[\aGS7u  
% The Third Step:Solve functions /_CSRi&
 
for i=1:num_Core                    %Solve the curve of Core _,5)  
syms x; iV8O<en&i  
f1=k1(i)*x; xgv&M:%D-  
f2=k2(i)*(x-X0_Core)+Y0_Core; oM)4""|
 
f=f1-f2; yB,{:kq7D  
x=double(solve(f));y=k1(i)*x; IL N0/eH  
X0_Core=x;Y0_Core=y; rdQ'#}Ix  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; %2`geN<  
end o9
L$B  
for i=1:num_TIR                      %Solve the curve of TIR qW'5Zk  
syms x; ?ZlN$h^  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; [wR x)F"  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); L$<(HQQJ8  
f=f1-f2; g;PZ$|%&s>  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; M>"J5yqR  
X0_TIR=x;Y0_TIR=y; Yeb-u+23  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 6qp' _?  
end yZDS>7H  
l/o 4bkV  
% The furth Step:Fitting the curve $09PZBF,i  
P_Core=polyfit(Px_Core,Py_Core,4); 29GcNiE`T  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 0xe*\CAo  
>ISN2Kn   
% The fifth Step:Feedback chief dimensions of the lens and Create it ^Q""N<  
%Feedback dimensions of the whole lens XH{P@2~l  
result='透镜尺寸如下：' R=u!RcvR  
Diameter_of_lens=2*Px_TIR(num_TIR) [^GXHE=  
Thickness_of_lens=Py_TIR(num_TIR)+d Ve\=By-a|  
Diameter_of_Core=2*r Z=\wI:TY1  
Thickness_of_front_pannel=d !$|h[ct  
Bottom_thickness=R-r Wo8.tu-2  
Lowest_Core=P_Core(5) NgPY/R>  
8WvQ[cd  
%Feedback dimensions of Lens part TIR Mk$Pt  
result='TIR系数如下：' }iCcXZ&5^  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d -McDNM
 
Aperture=Px_TIR(num_TIR) bP8O&R  
Obstruction=r 8{iFxTz  
Position=P_TIR(5) Q]oCzSi  
format short e; `SGI Qrb  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] U6Ws#e  
format short; S((\KL,  
i!9|R)c  
%DDE Connection {&Es3+{A  
TP_COMMAND = ddeinit('TracePro','Scheme'); "T,^>xD  
%Create TIR #X?#v7i",D  
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)))']; +`H{  
ddeexec(TP_COMMAND,cmd); jVhfpS[  
cmd =['(entity:move TIR 0 0 -2.3712)']; <.qhW^>X  
ddeexec(TP_COMMAND,cmd); sLh %k  
cmd =['(property:apply-name TIR "TIR")']; s@c.nT%BYL  
ddeexec(TP_COMMAND,cmd); m^rrbU+HM?  
a'm\6AW2)  
%Feedback dimensions of Lens part TIR ]t|-  
result='Core系数如下：' AD/7k3:  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d F;@A2WD  
Aperture=r cw)'vAE  
Obstruction='None' 4RYvI!
 
Position=P_Core(5) ~GZpAPg*  
format short e; 'E#;`}&Ah  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] $IU|zda8  
format short; ^w*$qzESy  
%Create Core AJ`R2 $  
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)))']; -w#Hy>E  
ddeexec(TP_COMMAND,cmd); Skn2-8;10  
cmd =['(entity:move Core 0 0 5.9493)']; !WD~zZ|  
ddeexec(TP_COMMAND,cmd); 37M?m$BL  
cmd =['(property:apply-name Core "Core")']; |zaYIVE[  
ddeexec(TP_COMMAND,cmd); 0`L>t  
Wk"\aoX"E  
%Create Lens Mkc|uiT   
cmd =['(define Unite (bool:unite TIR Core))']; RU' WHk  
ddeexec(TP_COMMAND,cmd); t:h~p-&QB  
cmd =['(define block (insert:block 100 100 100))']; ^%:syg_RM[  
ddeexec(TP_COMMAND,cmd); zu8l2(N  
cmd =['(entity:move block 0 0 -50)']; `mfN3Q*[c  
ddeexec(TP_COMMAND,cmd); h+rrmC  
cmd =['(define Lens (bool:subtract Unite block))']; (GNY::3  
ddeexec(TP_COMMAND,cmd); #g6*s+Gm  
cmd =['(property:apply-name Lens "Lens")']; !ufSO9eDx"  
ddeexec(TP_COMMAND,cmd); %wD<\ XRM  
MCcWRbE5#  
%Close the DDE connection kr
oO~(\  
ddeterm(TP_COMMAND); x$
'0}vnT  

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