計(jì)算脈沖在非線性耦合器中演化的Matlab 程序 gsp|?)]x  
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%  This Matlab script file solves the coupled nonlinear Schrodinger equations of y9L:2f\
 
%  soliton in 2 cores coupler. The output pulse evolution plot is shown in Fig.1 of rZv5>aEI  
%  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear :3Hr:~  
%   pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 X"qC&oZmf  
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%fid=fopen('e21.dat','w'); RtVG6'Y  
N = 128;                       % Number of Fourier modes (Time domain sampling points) IT_Fs|$  
M1 =3000;              % Total number of space steps nWAx!0G  
J =100;                % Steps between output of space {`vv-[j|  
T =10;                  % length of time windows:T*T0 X}$uvB}+>  
T0=0.1;                 % input pulse width i''[u  
MN1=0;                 % initial value for the space output location J_^Ml)@iy  
dt = T/N;                      % time step O7z-4r  
n = [-N/2:1:N/2-1]';           % Index F7zBm53  
t = n.*dt;   71ctjU`U2  
u10=1.*sech(1*t);              % input to waveguide1 amplitude: power=u10*u10 K)C9)J<  
u20=u10.*0.0;                  % input to waveguide 2 2|n~5\K|t  
u1=u10; u2=u20;                 8}kY^"*&X  
U1 = u1;   lC ^NhQi  
U2 = u2;                       % Compute initial condition; save it in U ,#PeK(  
ww = 4*n.*n*pi*pi/T/T;         % Square of frequency. Note i^2=-1. 8s_'tw/{  
w=2*pi*n./T; 
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g=-i*ww./2;                    % w=2*pi*f*n./N, f=1/dt=N/T,so w=2*pi*n./T h)qapC5z,  
L=4;                           % length of evoluation to compare with S. Trillo's paper O67.DEu^  
dz=L/M1;                       % space step, make sure nonlinear<0.05 ^Pk-<b4}  
for m1 = 1:1:M1                                    % Start space evolution 71?>~PnbH}  
   u1 = exp(dz*i*(abs(u1).*abs(u1))).*u1;          % 1st sSolve nonlinear part of NLS yF}l.>7D  
   u2 = exp(dz*i*(abs(u2).*abs(u2))).*u2; ,nELWzz%{  
   ca1 = fftshift(fft(u1));                        % Take Fourier transform MR@*09zP(?  
   ca2 = fftshift(fft(u2)); )J"Lne*"  
   c2=exp(g.*dz).*(ca2+i*1*ca1.*dz);               % approximation 'bpx  
   c1=exp(g.*dz).*(ca1+i*1*ca2.*dz);               % frequency domain phase shift   wtDy-H n  
   u2 = ifft(fftshift(c2));                        % Return to physical space l`s_#3  
   u1 = ifft(fftshift(c1)); \y9( b  
if rem(m1,J) == 0                                 % Save output every J steps. a0oM KGW:  
    U1 = [U1 u1];                                  % put solutions in U array `4'['x  
    U2=[U2 u2]; i#M$i*H*A  
    MN1=[MN1 m1]; =*aun&  
    z1=dz*MN1';                                    % output location csV.AN'obq  
  end :b&O{>M]Y  
end B|-E3v:f4  
hg=abs(U1').*abs(U1');                             % for data write to excel mV0.9pxS  
ha=[z1 hg];                                        % for data write to excel ^y,%Tv>  
t1=[0 t']; j`Xe0U<  
hh=[t1' ha'];                                      % for data write to excel file p<\yp<g  
%dlmwrite('aa',hh,'\t');                           % save data in the excel format Wv]NFHe#  
figure(1) 4A_}:nU  
waterfall(t',z1',abs(U1').*abs(U1'))               % t' is 1xn, z' is 1xm, and U1' is mxn _[8BAm  
figure(2) , wT$L3  
waterfall(t',z1',abs(U2').*abs(U2'))               % t' is 1xn, z' is 1xm, and U1' is mxn FbVdqO  
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非線性超快脈沖耦合的數(shù)值方法的Matlab程序 i6p0(OS&D  
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在研究脈沖在非線性耦合器中的演變時(shí)，我們需要求解非線性偏微分方程組。在如下的論文中，我們提出了一種簡(jiǎn)潔的數(shù)值方法。 這里我們提供給大家用Matlab編寫(xiě)的計(jì)算程序。   {BBL`tg60  
Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 vt3yCS  
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%  This Matlab script file solves the nonlinear Schrodinger equations <j93  
%  for 3 cores nonlinear coupler. The output plot is shown in Fig.2 of hVe@:1og#  
%  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear 5fK#*(x  
%  pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 H=OKm  
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