[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： _M7NL^B&  
% By Ruibin 08-9-25 v"G)G)*z  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. $qj||zA  
3
L(vZ2&  
clear all;clc ' fP`ET5  
IE
W[VU)  
% The Frist Step: Define independent parameters "+:IA|1wD  
r=3.25;               %选择开孔半径 t@\op}Z-M  
R=4.25;               %定义曲面底部半径 . 'rC'FT  
d=1;                  %设置透镜前方平板高度 q%A.)1<'_  
n=1.4935;             %定义材料折射率 iSxuor^;  
dividing_angle=24;    %定义Core与TIR的分界角 )YP9  
min_angle=1;          %设置计算精度 rb@{ir  
N=4;                  %设定拟合非球面系数阶数 *(sFr E  
JgY#W1>  
% The Second Step：Caculate induced variable $q~:%pQv  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); byUst
m6y  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); oaJnLd90W  
for i=1:(num_Core) Y^@Nvt$<K  
a_Core(i)=(angles_Core(i)*pi/180); THbV],RhJ  
k1(i)=cot(a_Core(i)); 'u{DFMB-A  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); {)d{:&*K.  
end &.}Zj*BD  
k1(num_Core)=999;k2(num_Core)=0; +kK6G#c  
for i=1:num_TIR #U j~F  
a_TIR(i)=(angles_TIR(i)*pi/180); 5E!G
  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); cc^[u+  
k4(i)=tan(asin(cos(a_TIR(i))/n)); Ev7fvz =  
end +Ks! 9d*k<  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); psZAO,p  
D8''q%  
% The Third Step:Solve functions w_hGWpm  
for i=1:num_Core                    %Solve the curve of Core ]wQ#8}zO  
syms x; Cg!]x o  
f1=k1(i)*x; (wRJ"Nwu  
f2=k2(i)*(x-X0_Core)+Y0_Core; 3 O)^Hq+9  
f=f1-f2; +=/FKzT<  
x=double(solve(f));y=k1(i)*x; 1/H9(2{L  
X0_Core=x;Y0_Core=y; DJmT]Q]o)  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; #&cNR_"w  
end `IQ
76Xl  
for i=1:num_TIR                      %Solve the curve of TIR dk^Uf84.Gr  
syms x; G-)Q*p{i|  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 1eZ759PoO  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); RnX:T)+o  
f=f1-f2; Nn_n@K  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; d/k70Ybk  
X0_TIR=x;Y0_TIR=y; A80r@)i  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; !Cpy )D(  
end POtj6 ?a  
U;7Cmti"  
% The furth Step:Fitting the curve U '#Xwax  
P_Core=polyfit(Px_Core,Py_Core,4); 8~=<!(M)m/  
P_TIR=polyfit(Px_TIR,Py_TIR,4); NRM=0-16u$  
OUd&fUmH  
% The fifth Step:Feedback chief dimensions of the lens and Create it Y'YvVI  
%Feedback dimensions of the whole lens J m
5).  
result='透镜尺寸如下：' ^11y8[[  
Diameter_of_lens=2*Px_TIR(num_TIR) INd:_cT4l  
Thickness_of_lens=Py_TIR(num_TIR)+d g8JO/s5xV  
Diameter_of_Core=2*r ^Lx(if WJ  
Thickness_of_front_pannel=d Y-Zw'  
Bottom_thickness=R-r a,GOS:?O5  
Lowest_Core=P_Core(5) o1m+4.-  
'UY
xVh9D  
%Feedback dimensions of Lens part TIR gH+s)6  
result='TIR系数如下：' 
{<~oa+"  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d qSg#:;(O  
Aperture=Px_TIR(num_TIR) H%LoI)w  
Obstruction=r Y ,Iv<Hg  
Position=P_TIR(5) [9wuaw"~[Z  
format short e; y@#JzfY?Hr  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] K}vP0O}  
format short; 
H2ZRUFu  
E%[2NsOM]  
%DDE Connection =bx;TV  
TP_COMMAND = ddeinit('TracePro','Scheme'); :>:F6Db"U  
%Create TIR w$XqxI/&  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; BHNcE*U}@?  
ddeexec(TP_COMMAND,cmd); u8w4e!rKo6  
cmd =['(entity:move TIR 0 0 -2.3712)']; I"=a:q  
ddeexec(TP_COMMAND,cmd); s=Cu-.~L  
cmd =['(property:apply-name TIR "TIR")']; M$jU-;hRH  
ddeexec(TP_COMMAND,cmd); A~@
u#]]<n  
TrYt(F{t  
%Feedback dimensions of Lens part TIR #FZoi:'Q  
result='Core系数如下：' /8Sr(  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d T{US
zMj  
Aperture=r TtWE:xE  
Obstruction='None' !_No\O  
Position=P_Core(5) S [$Os7  
format short e; [U^@Bkh  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] DjMhI_Yu  
format short; ![ce=9@t<  
%Create Core URo#0fV4C  
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)))']; G-DvM6T  
ddeexec(TP_COMMAND,cmd); x1O]@Z{d\  
cmd =['(entity:move Core 0 0 5.9493)']; ?BEO(;'  
ddeexec(TP_COMMAND,cmd); zm&?G  
cmd =['(property:apply-name Core "Core")']; @hG]Gs[,o  
ddeexec(TP_COMMAND,cmd); A7hWAq  
7rZE7+%]  
%Create Lens <y!(X"n`  
cmd =['(define Unite (bool:unite TIR Core))']; w vQ.9  
ddeexec(TP_COMMAND,cmd); c+bOp 05o-  
cmd =['(define block (insert:block 100 100 100))']; S#|dmg;p  
ddeexec(TP_COMMAND,cmd); DOa%|H'P  
cmd =['(entity:move block 0 0 -50)']; X%lk] &2  
ddeexec(TP_COMMAND,cmd); :rdnb=n  
cmd =['(define Lens (bool:subtract Unite block))']; <`P7^ 'z!  
ddeexec(TP_COMMAND,cmd); |{j\7G*5  
cmd =['(property:apply-name Lens "Lens")']; "/~KB~bB  
ddeexec(TP_COMMAND,cmd); {*NM~yQ  
Vgg'5o&.  
%Close the DDE connection +DR,&;  
ddeterm(TP_COMMAND); 7FYq6wi  

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