[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： t[%x}0FP-F  
% By Ruibin 08-9-25 qIB>6bv#x  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. Bx+d3  
}$^]dn@  
clear all;clc [_j6cj]  
lo"j )Zt  
% The Frist Step: Define independent parameters 6_W<hevI  
r=3.25;               %选择开孔半径 7;^((.]ln  
R=4.25;               %定义曲面底部半径 .6\T`6H=a  
d=1;                  %设置透镜前方平板高度 Xwn3+tSIa  
n=1.4935;             %定义材料折射率 ||R0U@F,  
dividing_angle=24;    %定义Core与TIR的分界角 uK"^*NEC';  
min_angle=1;          %设置计算精度 ^gd<lo g  
N=4;                  %设定拟合非球面系数阶数 [}{w  
@XeEpDn]  
% The Second Step：Caculate induced variable XFtOmY
 
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); a@Mq J=<L  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); VK9Q?nu  
for i=1:(num_Core) q5%2WM]6  
a_Core(i)=(angles_Core(i)*pi/180); iOl%-Y  
k1(i)=cot(a_Core(i)); xM% pvx.'L  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); PXa5g5!  
end +-U@0&Y3M  
k1(num_Core)=999;k2(num_Core)=0; w-r_H!-  
for i=1:num_TIR |Mt&p#y  
a_TIR(i)=(angles_TIR(i)*pi/180); l(gJLjTH%  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); -<xyC8$^$  
k4(i)=tan(asin(cos(a_TIR(i))/n)); e"*BHvy F  
end g`kY]lu  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 9e]'OKL+  
vu
XS/ d  
% The Third Step:Solve functions 3u*82s\8T  
for i=1:num_Core                    %Solve the curve of Core Og=[4?Kpk  
syms x; ~xw5\Y^  
f1=k1(i)*x; &D]&UQf  
f2=k2(i)*(x-X0_Core)+Y0_Core; CF\R<rF<VS  
f=f1-f2; Np$z%ewK.  
x=double(solve(f));y=k1(i)*x; !z?0 :Jg  
X0_Core=x;Y0_Core=y; uWh|C9Y!A  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; Vz'HM$  
end F,Q?s9s  
for i=1:num_TIR                      %Solve the curve of TIR U7E  
syms x; 8qN"3 Et  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; B=r0?%DX"1  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); cI3
y  
f=f1-f2; i=-8@  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; o!=WFAi[pX  
X0_TIR=x;Y0_TIR=y; 8-ZUS|7B  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; #9i6+.Z
 
end 0potz]}  
6ga5^6W  
% The furth Step:Fitting the curve T(JuL<PB  
P_Core=polyfit(Px_Core,Py_Core,4); x)3~il5  
P_TIR=polyfit(Px_TIR,Py_TIR,4); k}HQq_Y(<  
%
MbyKz:X  
% The fifth Step:Feedback chief dimensions of the lens and Create it a&C.=  
%Feedback dimensions of the whole lens iTu0T!4F  
result='透镜尺寸如下：' #MglHQO+  
Diameter_of_lens=2*Px_TIR(num_TIR) * MEe,4  
Thickness_of_lens=Py_TIR(num_TIR)+d %&tb9_T)d  
Diameter_of_Core=2*r |0kXCq  
Thickness_of_front_pannel=d 1Fs-0)s8  
Bottom_thickness=R-r J,(7.+`~#  
Lowest_Core=P_Core(5) }a^|L"  
:@/"abv
  
%Feedback dimensions of Lens part TIR S7CV w,2  
result='TIR系数如下：' srK53vKMHW  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d -6`;},Yr  
Aperture=Px_TIR(num_TIR) W^k,Pmopy  
Obstruction=r qU-!7=}7  
Position=P_TIR(5) L<=)@7  
format short e; uH\w.  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Ig9d#c  
format short; #]y5zi  
p,;mYms  
%DDE Connection /&(1JqzlB  
TP_COMMAND = ddeinit('TracePro','Scheme'); &{ZSE^  
%Create TIR pv&^D,H,  
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)))']; GmA!Mo  
ddeexec(TP_COMMAND,cmd); w12}Rn8  
cmd =['(entity:move TIR 0 0 -2.3712)']; +ubnx{VC  
ddeexec(TP_COMMAND,cmd); \2>?6zs  
cmd =['(property:apply-name TIR "TIR")']; Bc<n2 C0  
ddeexec(TP_COMMAND,cmd); Yb6q))Y  
AkA!:!l  
%Feedback dimensions of Lens part TIR nP1GW6P
u  
result='Core系数如下：' . :a<2sp6  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d Jq)U</  
Aperture=r Za%LAyT_s  
Obstruction='None' +/y]h0aa  
Position=P_Core(5) +c) TDH  
format short e; QPs:RhV7  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Q'K$L9q  
format short; yFjVKp'P  
%Create Core `Mk4sKU\a  
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)))']; ,r`UBQ}?  
ddeexec(TP_COMMAND,cmd); 7W|Zq6pi  
cmd =['(entity:move Core 0 0 5.9493)']; PsbG|~  
ddeexec(TP_COMMAND,cmd); kZxW"2  
cmd =['(property:apply-name Core "Core")']; R=M!e<'  
ddeexec(TP_COMMAND,cmd); "hPCQp`Tj  
lhO2'#]i  
%Create Lens {/|qjkT&W  
cmd =['(define Unite (bool:unite TIR Core))']; 6P*O&1hv  
ddeexec(TP_COMMAND,cmd); vv+J0f^  
cmd =['(define block (insert:block 100 100 100))']; 'N6
S}w7  
ddeexec(TP_COMMAND,cmd); 3?`"  
cmd =['(entity:move block 0 0 -50)']; 7
&+Ys  
ddeexec(TP_COMMAND,cmd); Js{=i>D  
cmd =['(define Lens (bool:subtract Unite block))']; x=*L-
 
ddeexec(TP_COMMAND,cmd); ;^3$kF  
cmd =['(property:apply-name Lens "Lens")']; 7
8]gtJ  
ddeexec(TP_COMMAND,cmd); ;Z9IZ~  
Uu'dv#4Iw  
%Close the DDE connection NY!jwb@%  
ddeterm(TP_COMMAND); x8"#!Pw:`"  

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