[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： NvcHv7,  
% By Ruibin 08-9-25 -z
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% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?F1wh2oq  
Pow|:Lau!  
clear all;clc 658\#x8|  
:H{Bb{B%  
% The Frist Step: Define independent parameters @Eo4U]-  
r=3.25;               %选择开孔半径 NP "ylMr7P  
R=4.25;               %定义曲面底部半径 3Mw}R6g@#  
d=1;                  %设置透镜前方平板高度 Im6U_JsNZh  
n=1.4935;             %定义材料折射率 &1=g A.ZR  
dividing_angle=24;    %定义Core与TIR的分界角 N50fL  
min_angle=1;          %设置计算精度 +B#qu/By  
N=4;                  %设定拟合非球面系数阶数 RXM}hqeG  
MZ)T0|S_  
% The Second Step：Caculate induced variable zFOL(s.h|0  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); W
;.{]x.0  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Uh*@BmDA  
for i=1:(num_Core) NK~PcdGl  
a_Core(i)=(angles_Core(i)*pi/180); {b2 aL7  
k1(i)=cot(a_Core(i)); p/N62G  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); w m19T7*L  
end =C#*!N73  
k1(num_Core)=999;k2(num_Core)=0; ( :iPm<  
for i=1:num_TIR n_J5zQJ  
a_TIR(i)=(angles_TIR(i)*pi/180); Gh'X.?3   
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ~ibF M5m  
k4(i)=tan(asin(cos(a_TIR(i))/n)); >zFD$  
end KYf;_C,$  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); AO $Wy
@  
!j{CuA/  
% The Third Step:Solve functions J)#S-ZB+'k  
for i=1:num_Core                    %Solve the curve of Core ]'tJ S
]  
syms x; @*SA$9/l  
f1=k1(i)*x; !x8kB Di,  
f2=k2(i)*(x-X0_Core)+Y0_Core; ^@K WYAAW5  
f=f1-f2; "ct58Y@  
x=double(solve(f));y=k1(i)*x; <}cZi4l'  
X0_Core=x;Y0_Core=y; -8/JP  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 5~QTg  
end S_$nCyaH2  
for i=1:num_TIR                      %Solve the curve of TIR y`6
\L$c  
syms x; fQO ""qh  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; *y?[<2"$
 
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); :s]\k%"  
f=f1-f2; 12-EDg/1  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; V,m3-=q  
X0_TIR=x;Y0_TIR=y; [8TS"ph>  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; n_}aZB3;U  
end }qL~KA{&  
}1Z6e[K?  
% The furth Step:Fitting the curve V,vc_d?,_o  
P_Core=polyfit(Px_Core,Py_Core,4); 4dD2{M  
P_TIR=polyfit(Px_TIR,Py_TIR,4);
Ok,HD7  
ni<[G0#T  
% The fifth Step:Feedback chief dimensions of the lens and Create it pr/'J!{^  
%Feedback dimensions of the whole lens zQ_z7FJCB  
result='透镜尺寸如下：' 8 ip^]  
Diameter_of_lens=2*Px_TIR(num_TIR) #Skj#)I"  
Thickness_of_lens=Py_TIR(num_TIR)+d m@[3~ 6A  
Diameter_of_Core=2*r 'gCZ'edM  
Thickness_of_front_pannel=d ` jyKCm.$#  
Bottom_thickness=R-r <S&]$?`{Wi  
Lowest_Core=P_Core(5) >8(jW  
)'t&q/Wn  
%Feedback dimensions of Lens part TIR KGD'mByt"  
result='TIR系数如下：' #"<?_fao~  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d MO TE/JG  
Aperture=Px_TIR(num_TIR)
(-J<Vy]  
Obstruction=r h;nQxmJ9  
Position=P_TIR(5) 7DZTQUb"  
format short e; `,P >mp)uU  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] X|'2R^V.  
format short; +|0t  
kIX)oD}c  
%DDE Connection #Z0-8<\  
TP_COMMAND = ddeinit('TracePro','Scheme'); @h9K  
%Create TIR b`zET^F  
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)))'];
.`+yo0O:  
ddeexec(TP_COMMAND,cmd); 7D
9]R#-K  
cmd =['(entity:move TIR 0 0 -2.3712)']; 7f r>ZY^  
ddeexec(TP_COMMAND,cmd); c 6q/X*  
cmd =['(property:apply-name TIR "TIR")']; wPgDy  
ddeexec(TP_COMMAND,cmd); QtlT&|$   
0qR$J  
%Feedback dimensions of Lens part TIR He<;4?:  
result='Core系数如下：' a'A s
 
Thickness=Py_TIR(num_TIR)-P_Core(5)+d U!Mf]3  
Aperture=r s??czM2O  
Obstruction='None' lQ$+JX;n(y  
Position=P_Core(5) A2BRbwr>  
format short e;
?Sw /(}|m  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] A_F0\ EN*  
format short; tah
}^  
%Create Core p6Gcts?,  
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)))']; Eu4 &-i  
ddeexec(TP_COMMAND,cmd); mLaCkn
  
cmd =['(entity:move Core 0 0 5.9493)']; 7>&1nBh. f  
ddeexec(TP_COMMAND,cmd); 2LZS|fB9o  
cmd =['(property:apply-name Core "Core")']; uY]T:UVk
 
ddeexec(TP_COMMAND,cmd); 
I^:F)a:  
v2=/[E@  
%Create Lens [4\aYB9N  
cmd =['(define Unite (bool:unite TIR Core))']; U{HML|  
ddeexec(TP_COMMAND,cmd); 9rS,?
  
cmd =['(define block (insert:block 100 100 100))']; &?r*p0MQC  
ddeexec(TP_COMMAND,cmd); ,5w]\z  
cmd =['(entity:move block 0 0 -50)']; UFf,+4q  
ddeexec(TP_COMMAND,cmd); > Y]_K  
cmd =['(define Lens (bool:subtract Unite block))']; xEC2@J  
ddeexec(TP_COMMAND,cmd); mw
"}8y  
cmd =['(property:apply-name Lens "Lens")']; j.B>v\b_3  
ddeexec(TP_COMMAND,cmd); x=vK EyS@  
^vW$XRnt  
%Close the DDE connection hLo>R'@uN  
ddeterm(TP_COMMAND); 1!1DuQ  

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