[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： ,,#rv-*  
% By Ruibin 08-9-25 ,lS-
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% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. W
!0  
d8 Nh0!  
clear all;clc oS|~\,p"  
M j%|'dZz  
% The Frist Step: Define independent parameters QDT{Xg*I  
r=3.25;               %选择开孔半径 \C2P{q/m  
R=4.25;               %定义曲面底部半径 x7kg_`\U  
d=1;                  %设置透镜前方平板高度 ~0r.3KTl"Y  
n=1.4935;             %定义材料折射率  D6!+  
dividing_angle=24;    %定义Core与TIR的分界角 Y{|~A  
min_angle=1;          %设置计算精度 M"l rwun^  
N=4;                  %设定拟合非球面系数阶数 ;Owu:}  
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% The Second Step：Caculate induced variable QT l._j@  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Rpd/9x.)&  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); gw"l&r  
for i=1:(num_Core) U\ E{-7  
a_Core(i)=(angles_Core(i)*pi/180); *k]S{]Y  
k1(i)=cot(a_Core(i)); XoiYtx53  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); R9-JjG2v  
end H^1 a3L]  
k1(num_Core)=999;k2(num_Core)=0; 18t
QWI$  
for i=1:num_TIR /IW=+ri  
a_TIR(i)=(angles_TIR(i)*pi/180); QuRg(K%:  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); "LIii1]k  
k4(i)=tan(asin(cos(a_TIR(i))/n)); u0KZrz  
end Vd>.fb\U2  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); eo52X&I  
KXfW&d(Pk  
% The Third Step:Solve functions .
EZ{d  
for i=1:num_Core                    %Solve the curve of Core v]SE?xF{U  
syms x; ZBq*<VtV  
f1=k1(i)*x; 207oEO]  
f2=k2(i)*(x-X0_Core)+Y0_Core; J6Nw-qF  
f=f1-f2; 2
(J tD  
x=double(solve(f));y=k1(i)*x; LP6FSo~K  
X0_Core=x;Y0_Core=y; m`q>_*  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; LA%al @  
end z\d2T%^:g(  
for i=1:num_TIR                      %Solve the curve of TIR gH55caF<  
syms x; ;C3?Ic  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; JwVC?m).  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); aDv/kFfn  
f=f1-f2; xKzFrP;/{  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; yzR=:0J  
X0_TIR=x;Y0_TIR=y; .FRF<_`^  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; }lpm Hvs  
end 24/~gft  
R:^?6f<Z}  
% The furth Step:Fitting the curve QF "&~
 
P_Core=polyfit(Px_Core,Py_Core,4); #$C]0]|  
P_TIR=polyfit(Px_TIR,Py_TIR,4); cB=u;$k@*  
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sk2fn  
% The fifth Step:Feedback chief dimensions of the lens and Create it 7[0k5-  
%Feedback dimensions of the whole lens l:,UN07s  
result='透镜尺寸如下：' Z9~Wlt'?  
Diameter_of_lens=2*Px_TIR(num_TIR) z9O/MHT[w  
Thickness_of_lens=Py_TIR(num_TIR)+d ?yeC j1X  
Diameter_of_Core=2*r IqKXFORiNI  
Thickness_of_front_pannel=d [IA==B7  
Bottom_thickness=R-r 7
lPk~0  
Lowest_Core=P_Core(5) 6YGr"Kj &  
;*H~Yb0  
%Feedback dimensions of Lens part TIR =u"|qD  
result='TIR系数如下：' #h|< >  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d >g0@ Bk  
Aperture=Px_TIR(num_TIR) n(S-F g  
Obstruction=r $KHDS:&  
Position=P_TIR(5) <r3n?w8  
format short e; m48Y1'4  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] <yO9j  
format short; =Fl4tY#X  
M=_CqK*  
%DDE Connection 08jQq#  
TP_COMMAND = ddeinit('TracePro','Scheme'); 7N=VVD~!b  
%Create TIR ZM`_P!G  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; e91d~  
ddeexec(TP_COMMAND,cmd); oe"ShhT  
cmd =['(entity:move TIR 0 0 -2.3712)']; gRI|rDC)B  
ddeexec(TP_COMMAND,cmd); g``4U3T%X  
cmd =['(property:apply-name TIR "TIR")']; u5M{s;{11r  
ddeexec(TP_COMMAND,cmd); J"|$V#  
UF&Wgj [  
%Feedback dimensions of Lens part TIR |JQKxvjT  
result='Core系数如下：' .e#j#tQp  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d P~Owvs/=  
Aperture=r ^IkMRlJh%  
Obstruction='None' HbVm O]#$D  
Position=P_Core(5) Q3Lqj2r  
format short e; =K8h)B_g  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] -~ Q3T9+  
format short; 2Jv4l$$;*  
%Create Core S-|$sV^cG  
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)))']; KrH;o)|  
ddeexec(TP_COMMAND,cmd); E#p6A5  
cmd =['(entity:move Core 0 0 5.9493)']; *E_= 8OV  
ddeexec(TP_COMMAND,cmd); 5L#M
7E  
cmd =['(property:apply-name Core "Core")']; ,DLNI0uV  
ddeexec(TP_COMMAND,cmd); Z3{Qtysuv3  
M!'tD!NWc  
%Create Lens >UH=]$0N  
cmd =['(define Unite (bool:unite TIR Core))']; Fj4:_(%nG  
ddeexec(TP_COMMAND,cmd); ,Z"sh*  
cmd =['(define block (insert:block 100 100 100))']; Wfy+7$14M  
ddeexec(TP_COMMAND,cmd); 3I(H.u  
cmd =['(entity:move block 0 0 -50)']; WU_Q 7%+QS  
ddeexec(TP_COMMAND,cmd);
w2GY,,R  
cmd =['(define Lens (bool:subtract Unite block))']; e~dU "  
ddeexec(TP_COMMAND,cmd); e(A&VIp  
cmd =['(property:apply-name Lens "Lens")']; t[~i})yS  
ddeexec(TP_COMMAND,cmd); 2Y{9Df  
~<LI p%5(  
%Close the DDE connection Y7HWf  
ddeterm(TP_COMMAND); PnvLXE}F  

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