[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： `%Ghtm*  
% By Ruibin 08-9-25 rEf\|x=st:  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. :}-u`K*  
xsvs3y|  
clear all;clc &SM$oy#?  
~ /[Cgh0  
% The Frist Step: Define independent parameters o`U\Nhq  
r=3.25;               %选择开孔半径 K4yYNlY  
R=4.25;               %定义曲面底部半径 g-^m\>B  
d=1;                  %设置透镜前方平板高度 +,[3a%c)H  
n=1.4935;             %定义材料折射率 I5A^/=bf&  
dividing_angle=24;    %定义Core与TIR的分界角 nsp K.*?  
min_angle=1;          %设置计算精度 3azc`[hl  
N=4;                  %设定拟合非球面系数阶数 YUb,5Y0  
OT[m g4&  
% The Second Step：Caculate induced variable J*Hn/m  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); _HK&KY  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); {XXNl)%  
for i=1:(num_Core) StL[\9~:  
a_Core(i)=(angles_Core(i)*pi/180); ) T1oDk  
k1(i)=cot(a_Core(i));
TxvPfU?  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); PPPwDsJ  
end wUeOD.;#F  
k1(num_Core)=999;k2(num_Core)=0; hN53=X:  
for i=1:num_TIR Sg$\ab$  
a_TIR(i)=(angles_TIR(i)*pi/180); Ltw7b  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 713M4CtJ  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ,m?D\Pru  
end LPn}QzH  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); xW9 s[X  
])L'Rk#4  
% The Third Step:Solve functions 5)
7mjyo%  
for i=1:num_Core                    %Solve the curve of Core ewG21 q$  
syms x; c.Y8CD.tqL  
f1=k1(i)*x; fti|3c  
f2=k2(i)*(x-X0_Core)+Y0_Core; 4Jr[8P0/A9  
f=f1-f2; bW^QH-t  
x=double(solve(f));y=k1(i)*x; 9u@h`  
X0_Core=x;Y0_Core=y; $0SZlq>En  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ~k0)+D}  
end uW~,H}E  
for i=1:num_TIR                      %Solve the curve of TIR 4.B*B3  
syms x; ;cn.s,  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; P i!r}m  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); xg^^@o  
f=f1-f2; 
bMZn7c  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; d`<^+p)oy  
X0_TIR=x;Y0_TIR=y; 25n(&NV  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; SWsv,  
end (I ds<n"  
jgKL88J*\  
% The furth Step:Fitting the curve &[Zap6]  
P_Core=polyfit(Px_Core,Py_Core,4); zZc@;S#  
P_TIR=polyfit(Px_TIR,Py_TIR,4); W7=_u+0d  
!#:$u=  
% The fifth Step:Feedback chief dimensions of the lens and Create it DIp:S&q2  
%Feedback dimensions of the whole lens /_OZ1jX  
result='透镜尺寸如下：' bM0[V5:jB  
Diameter_of_lens=2*Px_TIR(num_TIR) OG+r|.N;  
Thickness_of_lens=Py_TIR(num_TIR)+d yLO &(Mb  
Diameter_of_Core=2*r *.]E+MYi*  
Thickness_of_front_pannel=d K}<!{/fi)  
Bottom_thickness=R-r <o7#?AcPu  
Lowest_Core=P_Core(5) Y0yO`W4  
-f2`qltjb  
%Feedback dimensions of Lens part TIR "E|r3cN  
result='TIR系数如下：' ,e FQ}&^A  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 0 ;_wAk  
Aperture=Px_TIR(num_TIR) $
%%>n^??  
Obstruction=r NZC='3Uz  
Position=P_TIR(5) iynS4
]`U  
format short e; rKQASRF5*  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] &<V_[Wh"  
format short; ,Q=)$ `%  
:n4:@L<%H  
%DDE Connection @ZkAul0@  
TP_COMMAND = ddeinit('TracePro','Scheme'); -iDEh_pts  
%Create TIR dHq )vs,L  
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)))']; '<&EPUO  
ddeexec(TP_COMMAND,cmd); 7vpN6YP  
cmd =['(entity:move TIR 0 0 -2.3712)']; r d6F"W  
ddeexec(TP_COMMAND,cmd); )ehB)X  
cmd =['(property:apply-name TIR "TIR")']; }K/}(zuy1Y  
ddeexec(TP_COMMAND,cmd); .eabtGO,  
('**nP  
%Feedback dimensions of Lens part TIR ;*-@OLT_K  
result='Core系数如下：' t&9as}  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d +dgo-)kP(_  
Aperture=r Wz-3?EQ  
Obstruction='None' @nx}6?p\,  
Position=P_Core(5) l!;_lH8W$  
format short e; KZ!N{.Jk  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 02W4-*)  
format short; zyZok*s  
%Create Core T018)WrhL  
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)))']; @4_rxu&  
ddeexec(TP_COMMAND,cmd); uspkn1-  
cmd =['(entity:move Core 0 0 5.9493)']; up
&NCX  
ddeexec(TP_COMMAND,cmd); -4vHK!l  
cmd =['(property:apply-name Core "Core")']; -eR!qy:.]5  
ddeexec(TP_COMMAND,cmd); gVa+.x]  
q: TT4MUj<  
%Create Lens V5u}C-o  
cmd =['(define Unite (bool:unite TIR Core))']; 5%QC ][,  
ddeexec(TP_COMMAND,cmd); @L[PW@:SZ  
cmd =['(define block (insert:block 100 100 100))']; {b|3]_-/  
ddeexec(TP_COMMAND,cmd); d=t}T6.|  
cmd =['(entity:move block 0 0 -50)']; k=T-L  
ddeexec(TP_COMMAND,cmd); (:?5 i`  
cmd =['(define Lens (bool:subtract Unite block))']; +~w?Xw,  
ddeexec(TP_COMMAND,cmd); H~?*KcZ 0\  
cmd =['(property:apply-name Lens "Lens")']; d2C[wQF  
ddeexec(TP_COMMAND,cmd);
]&C:>  
DJViy  
%Close the DDE connection QiTR-M2C!  
ddeterm(TP_COMMAND); stg30><  

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