[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： ),ur!v  
% By Ruibin 08-9-25 o gec6u}  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 9K]Li\  
s&UuB1  
clear all;clc iI|mFc|V  
[Yr}:B <  
% The Frist Step: Define independent parameters kjVUG >e>  
r=3.25;               %选择开孔半径 ws1io.  
R=4.25;               %定义曲面底部半径 5L6_W-n{  
d=1;                  %设置透镜前方平板高度 vS#Y,H:yAj  
n=1.4935;             %定义材料折射率 h0m+u}oP_H  
dividing_angle=24;    %定义Core与TIR的分界角 5f;6BP  
min_angle=1;          %设置计算精度 kj_MzgC'?  
N=4;                  %设定拟合非球面系数阶数 LH7m >/LJr  
]S@
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% The Second Step：Caculate induced variable >KPxksFR8  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 7Gwn,&)  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); b`a4SfbQS  
for i=1:(num_Core) }q<p;4<\F  
a_Core(i)=(angles_Core(i)*pi/180); ,%)O/{p_  
k1(i)=cot(a_Core(i)); sIUhk7Cd8  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); L
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end LqNt.d @  
k1(num_Core)=999;k2(num_Core)=0; O+iNR9O  
for i=1:num_TIR I5#KLZVg  
a_TIR(i)=(angles_TIR(i)*pi/180);
o#GZ|9IL  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); j<"@Y7  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 9:DT+^BB  
end LxdF;JCz:  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); JVfSmxy.  
S2y_5XJ<D  
% The Third Step:Solve functions B*0TM+  
for i=1:num_Core                    %Solve the curve of Core p**Sd[|  
syms x; 0m2%ucKw  
f1=k1(i)*x; &>nB@SQZ  
f2=k2(i)*(x-X0_Core)+Y0_Core; 7+!FZo{?  
f=f1-f2; rra|}l4Y  
x=double(solve(f));y=k1(i)*x; f.yvKi.Cm  
X0_Core=x;Y0_Core=y; 6zbqv6  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 6d7E@}<  
end ]rNM3@bVy  
for i=1:num_TIR                      %Solve the curve of TIR p{@jM  
syms x; |Y-{)5/5}  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; u[:-^H  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ;$nCQ/ /  
f=f1-f2; YR'dl_  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; V ,+&.A23  
X0_TIR=x;Y0_TIR=y; \wZ 4enm  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; qjr:(x/  
end
Lm-f0\(  
Rb/|ae  
% The furth Step:Fitting the curve XE#a#  
P_Core=polyfit(Px_Core,Py_Core,4); 'zJBp 9a%  
P_TIR=polyfit(Px_TIR,Py_TIR,4); %I^schE*  
fA$2jbGW  
% The fifth Step:Feedback chief dimensions of the lens and Create it i C)+5L#'  
%Feedback dimensions of the whole lens ?4`f@=}'K  
result='透镜尺寸如下：' XY`{F.2h  
Diameter_of_lens=2*Px_TIR(num_TIR) &0b\E73  
Thickness_of_lens=Py_TIR(num_TIR)+d O*SJx
.  
Diameter_of_Core=2*r 5'<J@3B  
Thickness_of_front_pannel=d \sn wR  
Bottom_thickness=R-r Wq2Bo*[*  
Lowest_Core=P_Core(5) !We9T)e  
tf3R  
%Feedback dimensions of Lens part TIR G1 K@Ir<  
result='TIR系数如下：' E8/Pi>QW  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d m2a[E0  
Aperture=Px_TIR(num_TIR) 2tw3 =)  
Obstruction=r lRANXM  
Position=P_TIR(5) : uxJGx  
format short e; 9GX'+$R]  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] `_iK`^(-  
format short; aCRiW;+'  
BCmKzv  
%DDE Connection lNLa:j  
TP_COMMAND = ddeinit('TracePro','Scheme'); M7fPaJKL  
%Create TIR +Pc2`,pw|  
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)))']; 2RU/oqmR  
ddeexec(TP_COMMAND,cmd); GU0[K#%  
cmd =['(entity:move TIR 0 0 -2.3712)']; 
:@b=;  
ddeexec(TP_COMMAND,cmd); h1~/zM/`  
cmd =['(property:apply-name TIR "TIR")']; l3Qt_I)L  
ddeexec(TP_COMMAND,cmd); !ra,HkU
'  
r0Zj'F_e  
%Feedback dimensions of Lens part TIR 03n+kh  
result='Core系数如下：' OwN~-).%-  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d \IhHbcF`d  
Aperture=r bXz*g`=;  
Obstruction='None' oe*fgk/o9  
Position=P_Core(5) Yc:>Yzj(z  
format short e; b:PzqMh{G  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] jL{k!V`s  
format short; j;<s!A#  
%Create Core Sa-" G`  
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)))']; sis1Dh9:  
ddeexec(TP_COMMAND,cmd); *`40
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cmd =['(entity:move Core 0 0 5.9493)']; 6`@6k2]  
ddeexec(TP_COMMAND,cmd); mKLWz1GZ  
cmd =['(property:apply-name Core "Core")']; rMoz+{1A  
ddeexec(TP_COMMAND,cmd); @x^/X8c(p  
Hf+oG  
%Create Lens ^KJi|'B  
cmd =['(define Unite (bool:unite TIR Core))']; G|I}x/X"Q7  
ddeexec(TP_COMMAND,cmd); {
wl7&25  
cmd =['(define block (insert:block 100 100 100))']; ?L|Ai\|  
ddeexec(TP_COMMAND,cmd); cK,&huk  
cmd =['(entity:move block 0 0 -50)']; x9o(q`N  
ddeexec(TP_COMMAND,cmd); }ww`Y&#  
cmd =['(define Lens (bool:subtract Unite block))']; [1l OGck[  
ddeexec(TP_COMMAND,cmd); 9+b){W  
cmd =['(property:apply-name Lens "Lens")']; E&ReQgBf
t  
ddeexec(TP_COMMAND,cmd); mLV0J '  
N[I ?x5:u  
%Close the DDE connection p@?ud%  
ddeterm(TP_COMMAND); Eb8~i_B-  

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