[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： ]\oE}7K%r  
% By Ruibin 08-9-25 b;t b&o  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?=\_U  
@!s(Zkpev  
clear all;clc YX19QG%  
=!PUKa3f<  
% The Frist Step: Define independent parameters
/BfCh(B  
r=3.25;               %选择开孔半径 w0$l3^}z  
R=4.25;               %定义曲面底部半径 Lcy>!3q3~  
d=1;                  %设置透镜前方平板高度 iVb#X#  
n=1.4935;             %定义材料折射率 -Khb  
dividing_angle=24;    %定义Core与TIR的分界角 DwH=ln=  
min_angle=1;          %设置计算精度 d)jX%Z$LC  
N=4;                  %设定拟合非球面系数阶数 dG'5: ,n/  
aW#_"Y}v'  
% The Second Step：Caculate induced variable @)m+b;  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); b. oA}XP  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); &\s>PvnquX  
for i=1:(num_Core) {t&+abY
 
a_Core(i)=(angles_Core(i)*pi/180); 2[$` ]{U  
k1(i)=cot(a_Core(i)); DSx D531[A  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ]e]l08  
end vxx7aPjC  
k1(num_Core)=999;k2(num_Core)=0; Y4n;[nHQ(  
for i=1:num_TIR pM7xnL4  
a_TIR(i)=(angles_TIR(i)*pi/180); @ei:/~y3  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); OPwO`pN  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ^LJ
?GJ$g  
end .6#Y-iJqc  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 
pM'AhzS  
s7TV@Y)  
% The Third Step:Solve functions EL-1o02-  
for i=1:num_Core                    %Solve the curve of Core mbRN W  
syms x; xT1{O`  
f1=k1(i)*x; S
)d_
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f2=k2(i)*(x-X0_Core)+Y0_Core; ~",,&>#[K  
f=f1-f2; nH]F$'rtA  
x=double(solve(f));y=k1(i)*x; _fQBXG2  
X0_Core=x;Y0_Core=y; 1]j_4M14aA  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :N([s(}!$2  
end ZICcZG_y  
for i=1:num_TIR                      %Solve the curve of TIR 0q ^dpM  
syms x; =1Mh%/y  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 9K F`9Y  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); :X;AmLf`2u  
f=f1-f2; U i ~*]  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; SRx `m,535  
X0_TIR=x;Y0_TIR=y; I7nZ9n|KU  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; )#l,RJ(  
end 7T3ub3\  
/^z5;aG  
% The furth Step:Fitting the curve @}cZxFQ!C  
P_Core=polyfit(Px_Core,Py_Core,4); ;{Kx$Yt+  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 4aQb+t,  
13nXvYo'  
% The fifth Step:Feedback chief dimensions of the lens and Create it Fv6<Cz6L  
%Feedback dimensions of the whole lens D>Qc/+  
result='透镜尺寸如下：' P$=Y5   
Diameter_of_lens=2*Px_TIR(num_TIR) cQMb+Q2Yw  
Thickness_of_lens=Py_TIR(num_TIR)+d q={\|j$X  
Diameter_of_Core=2*r 2!35Tj"RFE  
Thickness_of_front_pannel=d /hMD Me  
Bottom_thickness=R-r /)` kYD6  
Lowest_Core=P_Core(5) *OQr:e<}  
&zYo   
%Feedback dimensions of Lens part TIR c{u~=24;%#  
result='TIR系数如下：' &<E*W*b[  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d $}/ !mXI5  
Aperture=Px_TIR(num_TIR) /WJ*ro]Hd$  
Obstruction=r WurpHOJt+  
Position=P_TIR(5) @*gm\sU4  
format short e; a9GLFA8Vq  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] bNG;`VZ%  
format short; a!>yX ex  
[J|)DU
jt  
%DDE Connection ]jz%])SzH  
TP_COMMAND = ddeinit('TracePro','Scheme'); kMHupROj  
%Create TIR =U5lPsiv,3  
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)))']; t-$R)vZ}M  
ddeexec(TP_COMMAND,cmd); -/.Xf<y58  
cmd =['(entity:move TIR 0 0 -2.3712)']; R;_U BQ)  
ddeexec(TP_COMMAND,cmd); e:Zc-  
cmd =['(property:apply-name TIR "TIR")']; AqKl}8  
ddeexec(TP_COMMAND,cmd); I9`R LSn  
DVNGV   
%Feedback dimensions of Lens part TIR =;/4j'1}9  
result='Core系数如下：' jy] hP?QG  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d i~dW)7  
Aperture=r ?
[K+Ym+  
Obstruction='None' %7PprN0>  
Position=P_Core(5) J2`b:%[  
format short e; -k p~pe*T  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] .oq!Ys4KA  
format short; -BNlZgk-^  
%Create Core $Wy7z^t  
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)))']; 6s833Tmb&r  
ddeexec(TP_COMMAND,cmd); FBM 73D@`  
cmd =['(entity:move Core 0 0 5.9493)']; n2Oi< )  
ddeexec(TP_COMMAND,cmd); yWACIaj  
cmd =['(property:apply-name Core "Core")']; g< cR/  
ddeexec(TP_COMMAND,cmd); W%f:+s}cI  
&t+  
%Create Lens iAX\F`  
cmd =['(define Unite (bool:unite TIR Core))']; U
n#7@8,  
ddeexec(TP_COMMAND,cmd); 6rEt!v #K[  
cmd =['(define block (insert:block 100 100 100))']; 2roPZj  
ddeexec(TP_COMMAND,cmd); kSH3)CC P  
cmd =['(entity:move block 0 0 -50)']; <_02)6j  
ddeexec(TP_COMMAND,cmd); `~hAXnQK=  
cmd =['(define Lens (bool:subtract Unite block))']; L!3AiAnr  
ddeexec(TP_COMMAND,cmd); ~y}M GUEC  
cmd =['(property:apply-name Lens "Lens")']; 5r<%xanXW/  
ddeexec(TP_COMMAND,cmd); :z%vNKy1  
O~g_rcG  
%Close the DDE connection )EYsqj  
ddeterm(TP_COMMAND); J'4{+Q_pa  

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