[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： g ;LVECk  
% By Ruibin 08-9-25 1i+FL''  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. kwF]TO S  
ugxw!cj  
clear all;clc V{GXc:=  
[-58Ezyr  
% The Frist Step: Define independent parameters `:4MMr91  
r=3.25;               %选择开孔半径 +5-fk>o  
R=4.25;               %定义曲面底部半径 9[sG1eP!  
d=1;                  %设置透镜前方平板高度 :x+ig5  
n=1.4935;             %定义材料折射率 UE;Bb
*<  
dividing_angle=24;    %定义Core与TIR的分界角 $',3Pv  
min_angle=1;          %设置计算精度 o8tS  
N=4;                  %设定拟合非球面系数阶数 o&,Y<$!:VH  
5[<F_"x  
% The Second Step：Caculate induced variable LU(%K{9  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); cAibB&`~  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); lM+ xU;  
for i=1:(num_Core) PY-+Bf  
a_Core(i)=(angles_Core(i)*pi/180); ~},~c:fF?  
k1(i)=cot(a_Core(i)); +f|6AeE  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); k(v"B@0  
end X'@f"=v9k  
k1(num_Core)=999;k2(num_Core)=0; f?0D%pxc}&  
for i=1:num_TIR <A{y
($  
a_TIR(i)=(angles_TIR(i)*pi/180); u}m.}Mws  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); -ek1$y9)  
k4(i)=tan(asin(cos(a_TIR(i))/n)); (H1lqlVWV#  
end ?@3&dk~ni  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); !&JiNn('  
R
+F,H`  
% The Third Step:Solve functions 3SFg#  
for i=1:num_Core                    %Solve the curve of Core 5&*zY)UL  
syms x; 1I \tu  
f1=k1(i)*x; cUsL6y  
f2=k2(i)*(x-X0_Core)+Y0_Core; RM#fX^)=  
f=f1-f2; qu
RPg
)
 
x=double(solve(f));y=k1(i)*x; kXEtuO5FUM  
X0_Core=x;Y0_Core=y; /Zx8nx'{V  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ^r4|{  
end CpSK(2j  
for i=1:num_TIR                      %Solve the curve of TIR Wxs>osq  
syms x; 1vsu[n  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; JaFUcpZk$  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); #]X2^ND47  
f=f1-f2; .?Auh2nr  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; v~a
LTI  
X0_TIR=x;Y0_TIR=y; ?$16A+  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; #!L%J<MX  
end P{Lg{I_w.B  
c>rKgx  
% The furth Step:Fitting the curve KqK9X  
P_Core=polyfit(Px_Core,Py_Core,4); *(p7NYf1  
P_TIR=polyfit(Px_TIR,Py_TIR,4); !3?yG  
*:[b'D!A  
% The fifth Step:Feedback chief dimensions of the lens and Create it cafsMgrA  
%Feedback dimensions of the whole lens mZE8.
`  
result='透镜尺寸如下：' /:KQAM0  
Diameter_of_lens=2*Px_TIR(num_TIR) S?2YJl8B  
Thickness_of_lens=Py_TIR(num_TIR)+d p>&S7M/9  
Diameter_of_Core=2*r ]K*GSU  
Thickness_of_front_pannel=d sNf +lga0  
Bottom_thickness=R-r EU9[F b]  
Lowest_Core=P_Core(5) TwUsVM(~  
kJ__:rS(T_  
%Feedback dimensions of Lens part TIR *V-
ds8AQ  
result='TIR系数如下：' Y.X4*B  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d /L$NE$D} "  
Aperture=Px_TIR(num_TIR) ~hzEKvs  
Obstruction=r wcl!S
{  
Position=P_TIR(5) _6LH"o3  
format short e; q#|r  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] fRFYJFc n  
format short; RJL
Fj  
W.p66IQwL&  
%DDE Connection 2n(ItA  
TP_COMMAND = ddeinit('TracePro','Scheme'); ^1Yo-T(R  
%Create TIR 4/f[`].#W  
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)))']; 97(n\Wt2  
ddeexec(TP_COMMAND,cmd); @f%wd2  
cmd =['(entity:move TIR 0 0 -2.3712)']; rXuAixu!t  
ddeexec(TP_COMMAND,cmd); jQkUNPHu  
cmd =['(property:apply-name TIR "TIR")']; Q~b_dx{m  
ddeexec(TP_COMMAND,cmd); Q84t9b  
| 4 `.#4  
%Feedback dimensions of Lens part TIR }`#B
f  
result='Core系数如下：' l)H9J]  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d {RH*8?7  
Aperture=r C-&#r."L  
Obstruction='None' @| P3  
Position=P_Core(5) $M-NR||k  
format short e; h>.9RX &  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] K: 4P;ApI  
format short; 7fU
i?41XA  
%Create Core 7Y)s#FJ  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; dw3'T4TC?  
ddeexec(TP_COMMAND,cmd); +*<K"H|,  
cmd =['(entity:move Core 0 0 5.9493)']; ?f9$OLEB  
ddeexec(TP_COMMAND,cmd); o;%n,S8J|^  
cmd =['(property:apply-name Core "Core")']; EtJD'&  
ddeexec(TP_COMMAND,cmd); }\U0[x#q  
#c:9V2  
%Create Lens |fx#KNPf]  
cmd =['(define Unite (bool:unite TIR Core))']; V54q"kP,@.  
ddeexec(TP_COMMAND,cmd); (5>{?dR)|  
cmd =['(define block (insert:block 100 100 100))']; I>\}}!  
ddeexec(TP_COMMAND,cmd); ]yw_n^@  
cmd =['(entity:move block 0 0 -50)']; '8L(f w{k  
ddeexec(TP_COMMAND,cmd); =>P_mPP=  
cmd =['(define Lens (bool:subtract Unite block))']; 8Er[M  
ddeexec(TP_COMMAND,cmd); JE/l#Q!  
cmd =['(property:apply-name Lens "Lens")']; eK\|SQb  
ddeexec(TP_COMMAND,cmd); 9DmSs=A  
p?_'|#tz  
%Close the DDE connection v]l&dgoT  
ddeterm(TP_COMMAND); zV6AuUIt  

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