[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： P7zUf  
% By Ruibin 08-9-25 7P(jMalq  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 9G2rVk  
!W8=\:D[  
clear all;clc kr~n5WiAZ  
64#Ri!RR}  
% The Frist Step: Define independent parameters E9>z.vV   
r=3.25;               %选择开孔半径 ZO/Jf Jn~  
R=4.25;               %定义曲面底部半径 <9 ^7r J  
d=1;                  %设置透镜前方平板高度 &L5 )v\z  
n=1.4935;             %定义材料折射率 LxGD=b  
dividing_angle=24;    %定义Core与TIR的分界角 |a"]@W$>  
min_angle=1;          %设置计算精度 Jnd_cJ]a  
N=4;                  %设定拟合非球面系数阶数 $#+D:W)az  
J^CAQfcx  
% The Second Step：Caculate induced variable ilVi  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); HfhI9f_x  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Kr'?h'F  
for i=1:(num_Core) 9 Xl#$d5  
a_Core(i)=(angles_Core(i)*pi/180); 4H,c;g=!  
k1(i)=cot(a_Core(i)); \-]tvgA~&  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 1$Q[%9  
end H[nBNz)C  
k1(num_Core)=999;k2(num_Core)=0; sRZ<c  
for i=1:num_TIR 4Eu'_
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a_TIR(i)=(angles_TIR(i)*pi/180); 1U.X[}e  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); "= %"@"<)  
k4(i)=tan(asin(cos(a_TIR(i))/n)); svDnw cl  
end mF~]P8  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); S'qT+p
P  
_V1:'T8  
% The Third Step:Solve functions PKntz7  
for i=1:num_Core                    %Solve the curve of Core 6lg]5d2CD  
syms x; _*?qOmf=
 
f1=k1(i)*x; ;SjNZi)4d  
f2=k2(i)*(x-X0_Core)+Y0_Core; /3rNX}tOMH  
f=f1-f2; wG7>2
*(  
x=double(solve(f));y=k1(i)*x; w.aEc}@(^  
X0_Core=x;Y0_Core=y; gsEcvkj*  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Mb[4_D
c  
end F.a
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for i=1:num_TIR                      %Solve the curve of TIR GVlT+Rs7  
syms x; o938!jML_  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Spx%`O<  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); {_*G"A 9  
f=f1-f2; 0\Jeyb2dl  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; i~v[3e9y7  
X0_TIR=x;Y0_TIR=y; ,9jk<)m]L  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; @{fwM;me]P  
end {D",ao   
R\&z3<-S  
% The furth Step:Fitting the curve BI-'&kPk  
P_Core=polyfit(Px_Core,Py_Core,4); Q<D_QJ  
P_TIR=polyfit(Px_TIR,Py_TIR,4); gI2'[OU  
-(WRhBpw  
% The fifth Step:Feedback chief dimensions of the lens and Create it O.QR1  
%Feedback dimensions of the whole lens e~(e&4pb  
result='透镜尺寸如下：' F5YoE
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Diameter_of_lens=2*Px_TIR(num_TIR) 3b0|7@
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Thickness_of_lens=Py_TIR(num_TIR)+d `i(b%$|^&Z  
Diameter_of_Core=2*r e4Qjx*[G  
Thickness_of_front_pannel=d fUY05OMZ  
Bottom_thickness=R-r Hc>yZ:c;  
Lowest_Core=P_Core(5) Zazs".  
Z?=o(hkd  
%Feedback dimensions of Lens part TIR R\7r!38  
result='TIR系数如下：' T{^mh(3/"  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d B[
7,Hy,R  
Aperture=Px_TIR(num_TIR) j5:4/vD  
Obstruction=r Z&iW1  
Position=P_TIR(5) 2 yANf  
format short e; { ?jXPf  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)]  ~XWBLU<  
format short; r_Ou\|jU  
8LPWT!S  
%DDE Connection Iq,h}7C8'  
TP_COMMAND = ddeinit('TracePro','Scheme'); 2(~Zl\  
%Create TIR 5RWqHPw+  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; -R]~kGa6m<  
ddeexec(TP_COMMAND,cmd); H? z~V-8  
cmd =['(entity:move TIR 0 0 -2.3712)']; t}Td$K7  
ddeexec(TP_COMMAND,cmd); sxRKWM@4  
cmd =['(property:apply-name TIR "TIR")']; T*#M'H7LSQ  
ddeexec(TP_COMMAND,cmd); %vZHHBylu  
/8l@n
dZf  
%Feedback dimensions of Lens part TIR QP50.P5g  
result='Core系数如下：' T_UJ?W  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d pT~3< ,  
Aperture=r B?^~1Ua9Zv  
Obstruction='None' {`M\}(E  
Position=P_Core(5) }vY^eOK.  
format short e; _e>N3fT  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] e>c -b^{&  
format short; yO@1#  
%Create Core 0`WFuFi^o  
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)))']; l8+)Xk>  
ddeexec(TP_COMMAND,cmd); j<BRaT  
cmd =['(entity:move Core 0 0 5.9493)']; C<T6l'S{?  
ddeexec(TP_COMMAND,cmd); iQ2}*:Jc$  
cmd =['(property:apply-name Core "Core")']; M"p%CbcI]  
ddeexec(TP_COMMAND,cmd); d(RMD  
C:^ :^y  
%Create Lens C|IHRw`[  
cmd =['(define Unite (bool:unite TIR Core))']; u]O}Ub`  
ddeexec(TP_COMMAND,cmd); kjsj~jwvv  
cmd =['(define block (insert:block 100 100 100))']; E.Th}+
  
ddeexec(TP_COMMAND,cmd); p8-$MF]]6  
cmd =['(entity:move block 0 0 -50)']; /!t:MK;  
ddeexec(TP_COMMAND,cmd); &3"ODAp'  
cmd =['(define Lens (bool:subtract Unite block))']; "m6G;cv  
ddeexec(TP_COMMAND,cmd); X|!@%wuGC  
cmd =['(property:apply-name Lens "Lens")']; t$VRNZ`dy  
ddeexec(TP_COMMAND,cmd); h/:LC 7  
l4taD!WD/  
%Close the DDE connection Zon7G6s9`  
ddeterm(TP_COMMAND); -!5l4  

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