[求助]matlab画准直透镜曲线？ [复制链接]

謝謝大大的分享

算出来也就自然画出来了啊

谢谢哈~

看一下

下来看看

学习一下

看看吧

看看e:matlab画准直透镜曲线？

程序如下： /ty?<24ko  
% By Ruibin 08-9-25 j6g@tx^)'  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. x83a!9  
OH6^GPF6  
clear all;clc ,gx)w^WTm  
PaO-J&<  
% The Frist Step: Define independent parameters 9V 0}d2d  
r=3.25;               %选择开孔半径 U \oy8FZ  
R=4.25;               %定义曲面底部半径 KE}H&1PjU  
d=1;                  %设置透镜前方平板高度 bw4oLu?  
n=1.4935;             %定义材料折射率 S%mfs!E>  
dividing_angle=24;    %定义Core与TIR的分界角 1n=_y o  
min_angle=1;          %设置计算精度 F{m{d?:OA  
N=4;                  %设定拟合非球面系数阶数 h<6UC%'ac  
SJ?)%[(T  
% The Second Step：Caculate induced variable E167=BD9<  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ^G1%6\We  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); }#`:Qb \U  
for i=1:(num_Core) h|;qG)f^  
a_Core(i)=(angles_Core(i)*pi/180); K#mOSY;}  
k1(i)=cot(a_Core(i)); ,Zf 9RM  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); =!b6FjsiG  
end G64Fx*`  
k1(num_Core)=999;k2(num_Core)=0; v;EQ, NL  
for i=1:num_TIR [xZU!=  
a_TIR(i)=(angles_TIR(i)*pi/180); jO~:<y3 =  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 1X1 NtS@  
k4(i)=tan(asin(cos(a_TIR(i))/n)); GK*v{`  
end , YW|n:X  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); )?aaBaN$  
:a
AEJ  
% The Third Step:Solve functions JXqr3Np1  
for i=1:num_Core                    %Solve the curve of Core 1B=>_3_  
syms x; FnFb[I@eu  
f1=k1(i)*x; TQ@d~GR  
f2=k2(i)*(x-X0_Core)+Y0_Core; /t%u"dP"T~  
f=f1-f2; iw9Q18:I}  
x=double(solve(f));y=k1(i)*x; ^jE8+h  
X0_Core=x;Y0_Core=y; M8&}j  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; tY|8s]{2  
end GW^,g@%C  
for i=1:num_TIR                      %Solve the curve of TIR DKL@wr}8  
syms x; YB(Gk;]  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; hT g<*  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); &a0r%L()X  
f=f1-f2; 6xK[34~6  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; NAC_pM&B  
X0_TIR=x;Y0_TIR=y; 9!',b>C6  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 7[#yu2  
end LNYKm~cN  
.Pndx%X9s  
% The furth Step:Fitting the curve YIRZ+H<Q  
P_Core=polyfit(Px_Core,Py_Core,4); "SxLN 8.:  
P_TIR=polyfit(Px_TIR,Py_TIR,4); [Nm4sI11  
kRJ4-n^@><  
% The fifth Step:Feedback chief dimensions of the lens and Create it l|2D/K5  
%Feedback dimensions of the whole lens :M3oUE{  
result='透镜尺寸如下：' N2r/ho}8  
Diameter_of_lens=2*Px_TIR(num_TIR) b}^S.;vNj  
Thickness_of_lens=Py_TIR(num_TIR)+d VosZJv=  
Diameter_of_Core=2*r Ex amD">
T  
Thickness_of_front_pannel=d  mEG6  
Bottom_thickness=R-r M9\#Aq&\i  
Lowest_Core=P_Core(5) LkruL_E>  
S0,R_d')  
%Feedback dimensions of Lens part TIR &F *'B|n  
result='TIR系数如下：' 6RO(]5wX  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d f"[J"j8  
Aperture=Px_TIR(num_TIR) #p(h]T32  
Obstruction=r s9;#!7ms  
Position=P_TIR(5) 4rT*tW"U  
format short e; 8`>h}Q$  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] }_/Hdmmx  
format short; 3981
ie  

7"F*u :  
%DDE Connection AN:sQX`  
TP_COMMAND = ddeinit('TracePro','Scheme'); (_kp{0r#  
%Create TIR (
tah]Bx  
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)))']; aimarU  
ddeexec(TP_COMMAND,cmd); rEhX/(n#  
cmd =['(entity:move TIR 0 0 -2.3712)']; lz#GbXn.  
ddeexec(TP_COMMAND,cmd); >zsid:  
cmd =['(property:apply-name TIR "TIR")']; ='ZRfb&  
ddeexec(TP_COMMAND,cmd); QZp6YSz.4  
K%<j=c  
%Feedback dimensions of Lens part TIR GcIDG`RX  
result='Core系数如下：' `+'rib5  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ^H{R+}  
Aperture=r @bM2{Rh:  
Obstruction='None' '|]e<Mt-  
Position=P_Core(5) :P,sxDlG)  
format short e; b5$JfjI  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] T{wpJ"F5<]  
format short; jUv!9Y}F  
%Create Core >^q7c8]~g  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 4%4avEa"w  
ddeexec(TP_COMMAND,cmd); ~CB[9D=  
cmd =['(entity:move Core 0 0 5.9493)']; P./V6i<:  
ddeexec(TP_COMMAND,cmd); #/"8F O%~p  
cmd =['(property:apply-name Core "Core")']; WARb"8Kg  
ddeexec(TP_COMMAND,cmd); {2/LRPT  
2XTPBZNe  
%Create Lens ]-oJ[5cQ0v  
cmd =['(define Unite (bool:unite TIR Core))']; />¬$>  
ddeexec(TP_COMMAND,cmd); 3!Sp0P  
cmd =['(define block (insert:block 100 100 100))']; p.ANVA@:  
ddeexec(TP_COMMAND,cmd); GoA4f3  
cmd =['(entity:move block 0 0 -50)']; [Vd[-  
ddeexec(TP_COMMAND,cmd); NaVQ9ku7VW  
cmd =['(define Lens (bool:subtract Unite block))']; *n]7  
ddeexec(TP_COMMAND,cmd); .)}@J5P)  
cmd =['(property:apply-name Lens "Lens")']; ,NnhHb2\  
ddeexec(TP_COMMAND,cmd); /? r?it  
4h5g'!9-g  
%Close the DDE connection M02uO`Y9  
ddeterm(TP_COMMAND); 4h@Z/G!T3
 

学习学习