[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： .rnT'""i<5  
% By Ruibin 08-9-25 "fUNrhCx  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. MUGoW;}v)  
S\Le;,
5Z  
clear all;clc T<NOLfk66  

|=![J?  
% The Frist Step: Define independent parameters t%0c$c
 
r=3.25;               %选择开孔半径 65*Hf3~~  
R=4.25;               %定义曲面底部半径 5SmJ'zFO  
d=1;                  %设置透镜前方平板高度 \7pEn  
n=1.4935;             %定义材料折射率 $R+gA{49%  
dividing_angle=24;    %定义Core与TIR的分界角 GIn%yB'  
min_angle=1;          %设置计算精度 h.KgHMV`  
N=4;                  %设定拟合非球面系数阶数 &m  GU  
r/"^{0;F{W  
% The Second Step：Caculate induced variable Ei\>gXTH1-  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); g j]8/~lr  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); X%kJ3{  
for i=1:(num_Core) -Fu,oEj{*  
a_Core(i)=(angles_Core(i)*pi/180);  Fq5u%S  
k1(i)=cot(a_Core(i)); (@qS  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); *'aouS/?<6  
end !$>b}w'  
k1(num_Core)=999;k2(num_Core)=0; mH4u@aQ}  
for i=1:num_TIR  ;Q4,I[?%  
a_TIR(i)=(angles_TIR(i)*pi/180); \8s:I+[HH  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); w-xigm>{Z  
k4(i)=tan(asin(cos(a_TIR(i))/n)); gA}<Y  
end -.ZP<,?@F  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ,J-|.ER->  
j3T)gFP  
% The Third Step:Solve functions ?%Tx% dB  
for i=1:num_Core                    %Solve the curve of Core J

YA>Q&  
syms x; %*wEzvt*  
f1=k1(i)*x; a?8)47)  
f2=k2(i)*(x-X0_Core)+Y0_Core; ;134$7!Y  
f=f1-f2; vyB{35p$  
x=double(solve(f));y=k1(i)*x; "#-iD  
X0_Core=x;Y0_Core=y; )*{B_[  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; !MOsP<2  
end ^FBu|eAkE  
for i=1:num_TIR                      %Solve the curve of TIR '5[(QM5Gi&  
syms x; )b>misb/  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 5U4V_*V  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); nvXjW@)`  
f=f1-f2; 6w{_+=T  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Dm8fcD  
X0_TIR=x;Y0_TIR=y; 5|N`:h'9M  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; q5-i=lw  
end "`cPV){]  
3o/f, }_  
% The furth Step:Fitting the curve Kg"eS`-  
P_Core=polyfit(Px_Core,Py_Core,4); un -h%-e|  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ID!S}D  
#\n*Qg4p  
% The fifth Step:Feedback chief dimensions of the lens and Create it D1v0`od'  
%Feedback dimensions of the whole lens U`HY eJ  
result='透镜尺寸如下：' &z:bZH]DH  
Diameter_of_lens=2*Px_TIR(num_TIR) $@71 w~y  
Thickness_of_lens=Py_TIR(num_TIR)+d .Y?]r6CC/  
Diameter_of_Core=2*r n*na6rV\k  
Thickness_of_front_pannel=d svl!"tMXl  
Bottom_thickness=R-r xS5 -m6/  
Lowest_Core=P_Core(5) nqUn
DnP2c  
$qdynKK  
%Feedback dimensions of Lens part TIR xT*c##  
result='TIR系数如下：' w4\ 3*  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d Wkjp:`(-$r  
Aperture=Px_TIR(num_TIR) aGi`(|shW  
Obstruction=r JJ}DYv  
Position=P_TIR(5) ~wv$uL8y  
format short e; :DNI\TmhJ  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] U4K ZPk  
format short; 0zSz[;A  
Dv/7w[F  
%DDE Connection UdM2!f  
TP_COMMAND = ddeinit('TracePro','Scheme'); at@tS>Dv  
%Create TIR U0:*?uA.  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; B>!mD{N  
ddeexec(TP_COMMAND,cmd); <4vCx  
cmd =['(entity:move TIR 0 0 -2.3712)']; HB'9&  
ddeexec(TP_COMMAND,cmd); Z@&%"nO  
cmd =['(property:apply-name TIR "TIR")']; Pvi2j&W84  
ddeexec(TP_COMMAND,cmd); j7gTVfO  
Y)pop:y t  
%Feedback dimensions of Lens part TIR ,h'Q  
result='Core系数如下：' d<Q%h?E  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d LDHu10l  
Aperture=r Q8m%mJz~]  
Obstruction='None' A-=hvJ5T  
Position=P_Core(5) la-:"gKC  
format short e; [Tbnfst  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 4aBVO%t  
format short; _",(!(  
%Create Core `P !idg*  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; YARL/V  
ddeexec(TP_COMMAND,cmd); "49dsKIOH  
cmd =['(entity:move Core 0 0 5.9493)']; `H$XO{w  
ddeexec(TP_COMMAND,cmd); pY )x&uM!  
cmd =['(property:apply-name Core "Core")']; md'wre3  
ddeexec(TP_COMMAND,cmd); ,iP YsW]5  
<iU@ M31  
%Create Lens 7>O`UT<t4@  
cmd =['(define Unite (bool:unite TIR Core))']; .-tR <{ g  
ddeexec(TP_COMMAND,cmd); FP=- jf/  
cmd =['(define block (insert:block 100 100 100))']; =wDXlAQ  
ddeexec(TP_COMMAND,cmd); qwj7CIc(  
cmd =['(entity:move block 0 0 -50)']; nf"#F@dk  
ddeexec(TP_COMMAND,cmd); i^.eX VV/  
cmd =['(define Lens (bool:subtract Unite block))']; $u~ui@kB  
ddeexec(TP_COMMAND,cmd); 8Z9>h:c1  
cmd =['(property:apply-name Lens "Lens")']; IA.7If&k  
ddeexec(TP_COMMAND,cmd); @- |G_BZ  
`j)56bR  
%Close the DDE connection 87l*Y|osP  
ddeterm(TP_COMMAND); #vyf*jPr  

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