[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： :k9T`Aa]  
% By Ruibin 08-9-25 nJ2B*(S'v.  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. _DR@P(0>_  
EH".ki=e  
clear all;clc @tT`s^e  
4 95Y<x}=  
% The Frist Step: Define independent parameters =8_b&4.:&  
r=3.25;               %选择开孔半径 6{I7=.V  
R=4.25;               %定义曲面底部半径 UDHOcb  
d=1;                  %设置透镜前方平板高度 `yR/M"u6T  
n=1.4935;             %定义材料折射率 ]ty$/{hx'  
dividing_angle=24;    %定义Core与TIR的分界角 ~,,r\Y+  
min_angle=1;          %设置计算精度 <v1H1'gv  
N=4;                  %设定拟合非球面系数阶数 +B{u,xgg  
m{oe|UVcmr  
% The Second Step：Caculate induced variable "]3o933D  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Le83[E*i  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); jd]L}%ax  
for i=1:(num_Core) 0}GO$%l  
a_Core(i)=(angles_Core(i)*pi/180); 8B ,S_0!  
k1(i)=cot(a_Core(i)); rzdQLan  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 5$ How!  
end [__P-h{J  
k1(num_Core)=999;k2(num_Core)=0; }:?*n:g5  
for i=1:num_TIR 9q]f]S.L  
a_TIR(i)=(angles_TIR(i)*pi/180); "d}']M?-h  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ,b^Y8_ltoT  
k4(i)=tan(asin(cos(a_TIR(i))/n)); vdXi'<  
end .BjWZj  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 'oz$uvX  
a|TUH+|  
% The Third Step:Solve functions ,3rsjoKhd  
for i=1:num_Core                    %Solve the curve of Core 6Takx%U  
syms x; <Z[Z&^  
f1=k1(i)*x; \[!{tbK`2  
f2=k2(i)*(x-X0_Core)+Y0_Core; vJr,lBHEk  
f=f1-f2; ;0Uat  
x=double(solve(f));y=k1(i)*x; Y"ta`+VJ  
X0_Core=x;Y0_Core=y; pPxgjX  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; R;,5LS&*a  
end gHgqElr(  
for i=1:num_TIR                      %Solve the curve of TIR 4~Q
<LEly  
syms x; S%H"i y  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; $[_5:@T%N  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); eG+$~\%Fub  
f=f1-f2; Sj)?!  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; (4z_2a(Dl,  
X0_TIR=x;Y0_TIR=y; yl*%P3m|  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ;+DMv5A "  
end Obu 6k[BE.  
37n2
#E  
% The furth Step:Fitting the curve 4]}d'x&  
P_Core=polyfit(Px_Core,Py_Core,4); }A6z%|d  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 7E*0;sA#  
4iSN.nxIZ  
% The fifth Step:Feedback chief dimensions of the lens and Create it V(XU^}b#  
%Feedback dimensions of the whole lens +dCR$<e9
r  
result='透镜尺寸如下：' `4ga~Ch  
Diameter_of_lens=2*Px_TIR(num_TIR) 5~>j98K  
Thickness_of_lens=Py_TIR(num_TIR)+d )a!f")@uz  
Diameter_of_Core=2*r U4Zx1ieCKH  
Thickness_of_front_pannel=d R,7.o4Wt  
Bottom_thickness=R-r %/)z!}{  
Lowest_Core=P_Core(5) 7aRy])x  
5T"h7^}e  
%Feedback dimensions of Lens part TIR dM,{:eID  
result='TIR系数如下：' E690'\)31  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d {OQ)Np!  
Aperture=Px_TIR(num_TIR) }ub>4N[  
Obstruction=r ]
=3hH+1 a  
Position=P_TIR(5) 6ImW|%  
format short e; z$Z%us>io  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] I(>_as\1  
format short; \{(cz/]G/  
p]e.E`'S  
%DDE Connection 7h.[eMLPB  
TP_COMMAND = ddeinit('TracePro','Scheme'); mE+=H]`.p  
%Create TIR 8u*Q^-fpo0  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; amQiH!}8R  
ddeexec(TP_COMMAND,cmd); 7lOAu]Zx  
cmd =['(entity:move TIR 0 0 -2.3712)']; ~hP]<$v  
ddeexec(TP_COMMAND,cmd); )+)qFGVz  
cmd =['(property:apply-name TIR "TIR")']; 0/fwAp
 
ddeexec(TP_COMMAND,cmd); .K_50%s  
?iaO+G&|  
%Feedback dimensions of Lens part TIR 2#R0Bd  
result='Core系数如下：' ?<OE|nb&  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d t}K8{ V  
Aperture=r rWL&-AZQl  
Obstruction='None' uw>y*OLU+  
Position=P_Core(5) I_c?Ky8J_|  
format short e; *yg`V,C  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] I]#x0?D  
format short; v&])D/a  
%Create Core U~|)=+%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)))']; sldcI@Z  
ddeexec(TP_COMMAND,cmd); s2tNQtq0W  
cmd =['(entity:move Core 0 0 5.9493)']; gxDyCL$h3  
ddeexec(TP_COMMAND,cmd); +>tSO
!}[  
cmd =['(property:apply-name Core "Core")']; vN6)Szim  
ddeexec(TP_COMMAND,cmd); wLq#,X>%B  
YyY?<<z%  
%Create Lens \  6Y%z  
cmd =['(define Unite (bool:unite TIR Core))']; 43`Atw`\  
ddeexec(TP_COMMAND,cmd); e{Mkwi+j  
cmd =['(define block (insert:block 100 100 100))']; xM&`>`;^e  
ddeexec(TP_COMMAND,cmd); Q9g^'a  
cmd =['(entity:move block 0 0 -50)']; efyGjfoO  
ddeexec(TP_COMMAND,cmd); (>\4%(pnD  
cmd =['(define Lens (bool:subtract Unite block))']; 'Urx83  
ddeexec(TP_COMMAND,cmd); j3o?B  
cmd =['(property:apply-name Lens "Lens")']; H/0b3I^  
ddeexec(TP_COMMAND,cmd); pW<l9W  
OQ3IkE`G  
%Close the DDE connection 9*a"^  
ddeterm(TP_COMMAND); {ZUgyGE{  

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