[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： "RJk7]p`*  
% By Ruibin 08-9-25 ?e_}X3{  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. |xgCV@  
k;:u| s8NS  
clear all;clc kFa?q}47  
c
V!/  
% The Frist Step: Define independent parameters owY_cDzrH  
r=3.25;               %选择开孔半径 JK8@J9(#  
R=4.25;               %定义曲面底部半径 <$3nD b-  
d=1;                  %设置透镜前方平板高度 xo_k"'f+  
n=1.4935;             %定义材料折射率 53&xTcv}x  
dividing_angle=24;    %定义Core与TIR的分界角 cp?P@-  
min_angle=1;          %设置计算精度 Xiedgy  
N=4;                  %设定拟合非球面系数阶数 rnBeL _8C  
MLIQ 8=  
% The Second Step：Caculate induced variable 2Ku#j ('  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); N
8(x),  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); o-CJdOS  
for i=1:(num_Core)  iIEIGQx  
a_Core(i)=(angles_Core(i)*pi/180); YK+Z0ry  
k1(i)=cot(a_Core(i)); I/-w65J]  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); %C][E^9  
end _C8LK.M#j  
k1(num_Core)=999;k2(num_Core)=0; PaeafL65=  
for i=1:num_TIR ~u`! Gi  
a_TIR(i)=(angles_TIR(i)*pi/180); lRK?%~  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 5'Ay@FJ:  
k4(i)=tan(asin(cos(a_TIR(i))/n)); [^=8k2  
end gV44PI6h  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); _,?HrL9  
w>UV\`x  
% The Third Step:Solve functions \*"0wR;[K  
for i=1:num_Core                    %Solve the curve of Core 9/KQAc*  
syms x; 8=Y|B5  
f1=k1(i)*x; W2(=m!:U  
f2=k2(i)*(x-X0_Core)+Y0_Core; k+G4<qw  
f=f1-f2; AX Jj"hN  
x=double(solve(f));y=k1(i)*x; (9_e>2_  
X0_Core=x;Y0_Core=y; vgZPDf|  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; M_ cb(=ey  
end AezXou&  
for i=1:num_TIR                      %Solve the curve of TIR J;Xz'0
 
syms x; H
.~+{jTr  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 'u%;6'y  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ][qA@3^Tw  
f=f1-f2; _r)nbQm&  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Yy~Dg  
X0_TIR=x;Y0_TIR=y; .z7f_KX^  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; vKLG9ovlY  
end 62'0)Cy^  
Ec/+9H6g  
% The furth Step:Fitting the curve xW )8mv?4n  
P_Core=polyfit(Px_Core,Py_Core,4); ,qh  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 9.}3RAB(cv  
B>L^XGq  
% The fifth Step:Feedback chief dimensions of the lens and Create it ky"7 ^  
%Feedback dimensions of the whole lens o|.me G  
result='透镜尺寸如下：' ]V\g$@  
Diameter_of_lens=2*Px_TIR(num_TIR) zMg^2{0L  
Thickness_of_lens=Py_TIR(num_TIR)+d ?UIb!k>
 
Diameter_of_Core=2*r  0d)n}fm  
Thickness_of_front_pannel=d LYKm2C*d  
Bottom_thickness=R-r Du4?n8 o  
Lowest_Core=P_Core(5) L7'n<$F  
n9yv.p]  
%Feedback dimensions of Lens part TIR L)"w-
,zy  
result='TIR系数如下：' wC@U/?  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d KDzI
arC  
Aperture=Px_TIR(num_TIR) x6P^IkL:  
Obstruction=r #f@53Pxb  
Position=P_TIR(5) ~.SU$  
format short e; ~$Yuxo  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] t/c^hTT  
format short; E_*T0&P.P  
1O{67Pf  
%DDE Connection 9$t@Gmn  
TP_COMMAND = ddeinit('TracePro','Scheme'); A#\X-8/  
%Create TIR N4FG_N  
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)))']; ku=q:ryO  
ddeexec(TP_COMMAND,cmd); '?[msX"aqa  
cmd =['(entity:move TIR 0 0 -2.3712)']; hD=D5LYAZ  
ddeexec(TP_COMMAND,cmd); ON^u|*kO  
cmd =['(property:apply-name TIR "TIR")']; g-`NsqzD  
ddeexec(TP_COMMAND,cmd); !b Km}1T  
<7h'MNf&  
%Feedback dimensions of Lens part TIR 7wiu%zfa:=  
result='Core系数如下：' svII =JB  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d {K}+$jzGVt  
Aperture=r WfI~l)  
Obstruction='None' ={d\zjI$  
Position=P_Core(5) 6Vo}Uaq4  
format short e; H$HhB8z3  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ENr&k(>0HQ  
format short; f:>jH+o.S  
%Create Core B.b)YE '  
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)))']; Y"U&3e,  
ddeexec(TP_COMMAND,cmd); uDUSR+E>  
cmd =['(entity:move Core 0 0 5.9493)']; <aS1bQgaU  
ddeexec(TP_COMMAND,cmd); $~l:l[Zs  
cmd =['(property:apply-name Core "Core")']; -A~<IyPt  
ddeexec(TP_COMMAND,cmd); -
.G0k*[d  
gqamGLK  
%Create Lens TlJF{ <E  
cmd =['(define Unite (bool:unite TIR Core))']; a$-ax[:\sm  
ddeexec(TP_COMMAND,cmd); NiF*h~q  
cmd =['(define block (insert:block 100 100 100))']; {w(N9Va,(  
ddeexec(TP_COMMAND,cmd); #=c%:{O{4R  
cmd =['(entity:move block 0 0 -50)']; 7KLq-u-8  
ddeexec(TP_COMMAND,cmd); SX.v5plhc  
cmd =['(define Lens (bool:subtract Unite block))']; f&J*(F*u  
ddeexec(TP_COMMAND,cmd); $MR4jnTT  
cmd =['(property:apply-name Lens "Lens")']; nfEk,(:  
ddeexec(TP_COMMAND,cmd); ME"/%59r  
GWsFW[T?~  
%Close the DDE connection 1U!CD-%(  
ddeterm(TP_COMMAND); i+6/ g  

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