[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： )A+j  
% By Ruibin 08-9-25 EqDYQ 7  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. (uxQBy  
Fea\ eB  
clear all;clc ImY*cW=M  
)BTs *7 j  
% The Frist Step: Define independent parameters _"Ke=v_5  
r=3.25;               %选择开孔半径 nv[Sb%/  
R=4.25;               %定义曲面底部半径 $0C/S5b  
d=1;                  %设置透镜前方平板高度 "._WdY[  
n=1.4935;             %定义材料折射率 !?M_%fNE  
dividing_angle=24;    %定义Core与TIR的分界角 `; %aQR  
min_angle=1;          %设置计算精度 8BH)jna`Qo  
N=4;                  %设定拟合非球面系数阶数 78BuD[<
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% The Second Step：Caculate induced variable =5_F9nk-  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); fJlN'F7  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); kb\v}gfiD/  
for i=1:(num_Core) q9(}wvtr  
a_Core(i)=(angles_Core(i)*pi/180); ]4~D;mv  
k1(i)=cot(a_Core(i)); 5BO!K$6  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); K}(n;6\  
end j1CD;9i)%  
k1(num_Core)=999;k2(num_Core)=0; D>^ix[:J  
for i=1:num_TIR !!#ale&  
a_TIR(i)=(angles_TIR(i)*pi/180); R[-:-8  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); w%-!dbmb%  
k4(i)=tan(asin(cos(a_TIR(i))/n)); nt`l6b  
end ?vNS!rY2&  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Y6DiISl  
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% The Third Step:Solve functions uM<+2S  
for i=1:num_Core                    %Solve the curve of Core  o%4+I>  
syms x; sU!q~`; J  
f1=k1(i)*x; rAdcMFW  
f2=k2(i)*(x-X0_Core)+Y0_Core; K'/x9.'%  
f=f1-f2; hs uJ;4}$q  
x=double(solve(f));y=k1(i)*x; GV[BpH  
X0_Core=x;Y0_Core=y; rz
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Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ({b/J0<@D  
end M8Lj*JN  
for i=1:num_TIR                      %Solve the curve of TIR e|9Bzli{  
syms x; }X:r:{r  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 6FFv+{2^@  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); [B<{3*R_  
f=f1-f2; 3yX^R^`  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; P#1y  
X0_TIR=x;Y0_TIR=y; \$UU/\  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; nu-wQr  
end DcDGrRuh  
7U0):11X#  
% The furth Step:Fitting the curve <7Lz<{jaJ  
P_Core=polyfit(Px_Core,Py_Core,4); V-u\
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P_TIR=polyfit(Px_TIR,Py_TIR,4); /bk} J:QRg  
o>%W7@Pr  
% The fifth Step:Feedback chief dimensions of the lens and Create it 9K(b Z{  
%Feedback dimensions of the whole lens m&8_i`%<  
result='透镜尺寸如下：' 2*F
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Diameter_of_lens=2*Px_TIR(num_TIR) 4D
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Thickness_of_lens=Py_TIR(num_TIR)+d Y" |U$  
Diameter_of_Core=2*r ]F#kM211  
Thickness_of_front_pannel=d T^>cT"ux_  
Bottom_thickness=R-r @L7rE)AU.  
Lowest_Core=P_Core(5) _RVXE  
akwVU\RP  
%Feedback dimensions of Lens part TIR ~vS.Dr  
result='TIR系数如下：' %hQ`b$07t  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d
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Aperture=Px_TIR(num_TIR) M-t9zT  
Obstruction=r qQryv_QP  
Position=P_TIR(5) 2US8<sq+  
format short e; *i90[3l  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] T]k@g_  
format short; n$iz   
=!aV?kNS8  
%DDE Connection GM~jR-FZ  
TP_COMMAND = ddeinit('TracePro','Scheme'); L;<]wKs  
%Create TIR $>Do&T
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cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; W=+ag<@  
ddeexec(TP_COMMAND,cmd); F"I@=R-n  
cmd =['(entity:move TIR 0 0 -2.3712)']; I115Rp0  
ddeexec(TP_COMMAND,cmd); mmti3Y  
cmd =['(property:apply-name TIR "TIR")']; ZN/")  
ddeexec(TP_COMMAND,cmd); nMqU6X>P!  
'UCL?$  
%Feedback dimensions of Lens part TIR elQ44)TrQ  
result='Core系数如下：' B{<6&bQ  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d $TiAJ}:  
Aperture=r cA,xf@itp  
Obstruction='None' EO^0sF<  
Position=P_Core(5) bcg)K`'N  
format short e; kQtl&{;k?  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] IAQ=d4V&  
format short; eyOAG4QTV  
%Create Core hw1s^:|+2  
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)))']; Q&7Qht:ea:  
ddeexec(TP_COMMAND,cmd); LE"xZxe  
cmd =['(entity:move Core 0 0 5.9493)']; 7UfyOOFa  
ddeexec(TP_COMMAND,cmd); ,KWeW^z'7  
cmd =['(property:apply-name Core "Core")']; '=xl}v  
ddeexec(TP_COMMAND,cmd); y!].l0e2a  
w*x}4wW  
%Create Lens  [iz  
cmd =['(define Unite (bool:unite TIR Core))']; D!CGbP(  
ddeexec(TP_COMMAND,cmd); Uz6B\-(0p
 
cmd =['(define block (insert:block 100 100 100))']; ]T1"3 [si  
ddeexec(TP_COMMAND,cmd);
<=lP6B  
cmd =['(entity:move block 0 0 -50)']; b`' ;`*AN+  
ddeexec(TP_COMMAND,cmd);
Fc Cxr@  
cmd =['(define Lens (bool:subtract Unite block))']; uxBk7E%6  
ddeexec(TP_COMMAND,cmd); v%r!}s  
cmd =['(property:apply-name Lens "Lens")']; 0Pe.G0 #  
ddeexec(TP_COMMAND,cmd); -M:.D3,L  
7u;B[qH  
%Close the DDE connection pc #^{-  
ddeterm(TP_COMMAND); G.;<?W  

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