[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： vdaG?+_o  
% By Ruibin 08-9-25 /e;E+   
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. K0fuN)C  
5"9'=LV~  
clear all;clc NCa3")k  
<~teD[1k"  
% The Frist Step: Define independent parameters j"r7M|Z+V  
r=3.25;               %选择开孔半径 %7hf6Xo=  
R=4.25;               %定义曲面底部半径 ^xX1G_{  
d=1;                  %设置透镜前方平板高度 3EV?=R  
n=1.4935;             %定义材料折射率 I~F]e|Ehqr  
dividing_angle=24;    %定义Core与TIR的分界角 A}4 ",  
min_angle=1;          %设置计算精度 4DgH/Yo  
N=4;                  %设定拟合非球面系数阶数 {\vcwMUzZ  
POI|#[-V  
% The Second Step：Caculate induced variable 
z 4qEC  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); m*'hHt n  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ZJ8"5RW  
for i=1:(num_Core) Y[0mTL4IO  
a_Core(i)=(angles_Core(i)*pi/180); /hS
Em.<  
k1(i)=cot(a_Core(i)); Vji:,k=3\  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); M2Jb<y]  
end 9]%2Yb8SC  
k1(num_Core)=999;k2(num_Core)=0; A5E^1j}h@  
for i=1:num_TIR Yb\d(k$h  
a_TIR(i)=(angles_TIR(i)*pi/180); f=A`{8^  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 5t,X;  
k4(i)=tan(asin(cos(a_TIR(i))/n)); LeV";=_n  
end 3Z}v%=5 "  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); _0|@B8!J?  
sSy!mtS
 
% The Third Step:Solve functions N4l}5(e  
for i=1:num_Core                    %Solve the curve of Core _<%YLv  
syms x; watTV\b  
f1=k1(i)*x; YYhN>d$  
f2=k2(i)*(x-X0_Core)+Y0_Core; 12@Ge]  
f=f1-f2; zF@[S  
x=double(solve(f));y=k1(i)*x; \h/)un5  
X0_Core=x;Y0_Core=y; M%Zh{  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ?G[=pY:=  
end 8ZCR9%  
for i=1:num_TIR                      %Solve the curve of TIR @E4ya$A)F  
syms x; z.Vf,<H  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; I7HGV(  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); K'f^=bcI  
f=f1-f2; w7c0jIf{  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; i9Eh1A3Y  
X0_TIR=x;Y0_TIR=y; lnGg1/
  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; d&lT/S  
end ~^PNMZk  
[!#}#  
% The furth Step:Fitting the curve }.1}yz^y  
P_Core=polyfit(Px_Core,Py_Core,4); <v!jS=T  
P_TIR=polyfit(Px_TIR,Py_TIR,4); pVM1%n:#  
+2w<V0V_  
% The fifth Step:Feedback chief dimensions of the lens and Create it 0oe2X1.%  
%Feedback dimensions of the whole lens j\HZ5  
result='透镜尺寸如下：' |kY  
Diameter_of_lens=2*Px_TIR(num_TIR) 1)3'Y2N*  
Thickness_of_lens=Py_TIR(num_TIR)+d mQ9y{}t=4  
Diameter_of_Core=2*r 5me#/NqLHY  
Thickness_of_front_pannel=d :31?Z(fQ  
Bottom_thickness=R-r 55ft,a  
Lowest_Core=P_Core(5) ?<
rZ9$  
M/,lP  
%Feedback dimensions of Lens part TIR J+TtM>  
result='TIR系数如下：' hW9U%-D  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d C`-CfZZ  
Aperture=Px_TIR(num_TIR) &dPI<HlM  
Obstruction=r T7|=`~  
Position=P_TIR(5) 2%|n}V[  
format short e; .7M.bpmqE  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] T*g}^TEh  
format short; ;oO_5[,M  
Jl1\*1"  
%DDE Connection !DUOi4I  
TP_COMMAND = ddeinit('TracePro','Scheme'); |h\A5_0_  
%Create TIR &fsk ESV0  
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)))']; \t%iUZ$  
ddeexec(TP_COMMAND,cmd); s@E)=;!  
cmd =['(entity:move TIR 0 0 -2.3712)']; <\$?.tTZ{  
ddeexec(TP_COMMAND,cmd); $1Fn
jL5u  
cmd =['(property:apply-name TIR "TIR")']; S|T_<FCY  
ddeexec(TP_COMMAND,cmd); 4|4 *rhwp  
^M\X/uq$E  
%Feedback dimensions of Lens part TIR 3.9/mztS  
result='Core系数如下：' u08j9) ,4  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ,fhF-%Q!g  
Aperture=r ?mF:L"i  
Obstruction='None' NV==[$(r  
Position=P_Core(5) A%X=yqY  
format short e; xLms|jS  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] m2&Vm~Py6b  
format short; 49
HP2E  
%Create Core C$$Zwgy  
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)))']; 4l>U13~#  
ddeexec(TP_COMMAND,cmd); *^RoI  
cmd =['(entity:move Core 0 0 5.9493)']; #R7hk5/8n}  
ddeexec(TP_COMMAND,cmd); B%`|W@v  
cmd =['(property:apply-name Core "Core")']; ]+b?J0|P<  
ddeexec(TP_COMMAND,cmd); ?B@3A)
a  
[mj=m
?j  
%Create Lens 2jlz#Sk  
cmd =['(define Unite (bool:unite TIR Core))']; G$luGxl[  
ddeexec(TP_COMMAND,cmd); _v(5vx_ {  
cmd =['(define block (insert:block 100 100 100))']; eCWF0a  
ddeexec(TP_COMMAND,cmd); HH0ck(u_A*  
cmd =['(entity:move block 0 0 -50)']; _z1Qr?cY  
ddeexec(TP_COMMAND,cmd); Ov4=!o=  
cmd =['(define Lens (bool:subtract Unite block))']; s Ytn'&$\  
ddeexec(TP_COMMAND,cmd); @4KKm@(p85  
cmd =['(property:apply-name Lens "Lens")']; >FS%-eI6  
ddeexec(TP_COMMAND,cmd); 0!RP7Sx  
e z_c;  
%Close the DDE connection atW^^4:  
ddeterm(TP_COMMAND); rCsC}2O  

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