[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： *7w!~mn[m  
% By Ruibin 08-9-25 a7!{`fR5  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. W ",yq|  
%C_c%3d  
clear all;clc (|>rDk;  
rv`GOta*  
% The Frist Step: Define independent parameters
PS8^=  
r=3.25;               %选择开孔半径 ^B1$|C D,  
R=4.25;               %定义曲面底部半径 sX-@ >%l  
d=1;                  %设置透镜前方平板高度 Z/T(
4  
n=1.4935;             %定义材料折射率 k136n#KN1  
dividing_angle=24;    %定义Core与TIR的分界角 kj6H+@ {  
min_angle=1;          %设置计算精度 N>CNgUyP  
N=4;                  %设定拟合非球面系数阶数 SLRF\mh!L  
C80< L5\  
% The Second Step：Caculate induced variable Bw
rX.!M  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ZL:SJ,C  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 6Yc(|>b!  
for i=1:(num_Core) U9K'O !i>  
a_Core(i)=(angles_Core(i)*pi/180); -{q'Tmst  
k1(i)=cot(a_Core(i)); K>C@oE[W  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 10)RLh|+  
end 2x<!>B  
k1(num_Core)=999;k2(num_Core)=0; 'Yi="kno  
for i=1:num_TIR pXvys]@  
a_TIR(i)=(angles_TIR(i)*pi/180); m41%?uC/  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ^C92R"*Qu  
k4(i)=tan(asin(cos(a_TIR(i))/n)); zXU g(xu  
end $N Mu  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); e)N<r  
MiR$N  
% The Third Step:Solve functions D)Ep!`Q   
for i=1:num_Core                    %Solve the curve of Core ns*:mGh  
syms x; &er,Wyc(  
f1=k1(i)*x; 7&D)+{g  
f2=k2(i)*(x-X0_Core)+Y0_Core; IMBj
I#\  
f=f1-f2; 7t1as.  
x=double(solve(f));y=k1(i)*x; q6ny2;/r  
X0_Core=x;Y0_Core=y; uGF{0)0g  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ANJL8t-m  
end ve:Oe{Ie{  
for i=1:num_TIR                      %Solve the curve of TIR T "hjL  
syms x; {9X mFa  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; QBGjH^kL  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); b(CO7/e>  
f=f1-f2; tRO=k34  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR;
^B%c3U$o  
X0_TIR=x;Y0_TIR=y; &]GR
*a  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; KVh#"]<WV  
end 99(@O,*(Y  
=<7z :]  
% The furth Step:Fitting the curve  wlsx|  
P_Core=polyfit(Px_Core,Py_Core,4); ~#i2reG5  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 5Zd oem  
tv
`b##  
% The fifth Step:Feedback chief dimensions of the lens and Create it .ZV='i()X  
%Feedback dimensions of the whole lens 2g~ @99`  
result='透镜尺寸如下：' em5~4;&'  
Diameter_of_lens=2*Px_TIR(num_TIR) Dy>6L79G  
Thickness_of_lens=Py_TIR(num_TIR)+d 5!cp^[rGL  
Diameter_of_Core=2*r LokH4A17U  
Thickness_of_front_pannel=d 9_nbMs  
Bottom_thickness=R-r #"lb9._M  
Lowest_Core=P_Core(5) Aj=GekX{  
(z.n9lkfi  
%Feedback dimensions of Lens part TIR )QRT/, ;c  
result='TIR系数如下：' .@%L8_sMR  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d /H"fycZ  
Aperture=Px_TIR(num_TIR) Z^z{, u;!  
Obstruction=r @;$cX2  
Position=P_TIR(5) S89j:KRXH%  
format short e; MG~Z)+g=y  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 'R
hS%l  
format short; Wh)  
^_g%c&H  
%DDE Connection I.G[|[. Do  
TP_COMMAND = ddeinit('TracePro','Scheme'); ok0ZI>=,  
%Create TIR E?czolNl  
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)))']; -CuuO=h  
ddeexec(TP_COMMAND,cmd); ot[ZFF\  
cmd =['(entity:move TIR 0 0 -2.3712)']; '|Bk}pl7  
ddeexec(TP_COMMAND,cmd); p JT)X8K"  
cmd =['(property:apply-name TIR "TIR")']; 0ju-l=w  
ddeexec(TP_COMMAND,cmd); [@5cYeW3.  
8Iu6r}k?~`  
%Feedback dimensions of Lens part TIR tgl(*[T2  
result='Core系数如下：' 5>+@.hPX  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d F6111Q </  
Aperture=r 8a`3eM~?[  
Obstruction='None' {:*G/*1[.  
Position=P_Core(5) CHZ/@gc  
format short e; ~tyqvHC  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] wpt$bqs|1  
format short; :9ia|lN  
%Create Core pe0ax-Zv  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; D_0sXIbg  
ddeexec(TP_COMMAND,cmd); sS;)d  
cmd =['(entity:move Core 0 0 5.9493)']; cu foP&  
ddeexec(TP_COMMAND,cmd); x{
Utf$|  
cmd =['(property:apply-name Core "Core")']; k ,ldi  
ddeexec(TP_COMMAND,cmd); dsx<ZwZN>  
X-fWdoN @-  
%Create Lens mRRZ/m?A(  
cmd =['(define Unite (bool:unite TIR Core))']; (lS[a  
ddeexec(TP_COMMAND,cmd); %K')_NS@  
cmd =['(define block (insert:block 100 100 100))']; :Ae#+([V  
ddeexec(TP_COMMAND,cmd); Hv/5)  
cmd =['(entity:move block 0 0 -50)']; kP+,x H)1  
ddeexec(TP_COMMAND,cmd); W_E^+Wl@  
cmd =['(define Lens (bool:subtract Unite block))']; pZopdEFDK|  
ddeexec(TP_COMMAND,cmd); BJb,  
cmd =['(property:apply-name Lens "Lens")']; 4'dN7E1*f  
ddeexec(TP_COMMAND,cmd); b@8z+,_  
7yT/t1)  
%Close the DDE connection "{qnm+G  
ddeterm(TP_COMMAND); ;`LG WT-<F  

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