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    [分享]求解光孤子或超短脉冲耦合方程的Matlab程序 [复制链接]

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    离线tianmen
     
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    只看楼主 正序阅读 楼主  发表于: 2011-06-12
    计算脉冲在非线性耦合器中演化的Matlab 程序 %wu,c e]*  
    8F)9.s,*  
    %  This Matlab script file solves the coupled nonlinear Schrodinger equations of nHfAx/9!  
    %  soliton in 2 cores coupler. The output pulse evolution plot is shown in Fig.1 of  s-&i!d  
    %  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear ygQAA!&']  
    %   pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 u V'C_H  
    MC B2  
    %fid=fopen('e21.dat','w'); kZ:~m1dd  
    N = 128;                       % Number of Fourier modes (Time domain sampling points) 6OQ\f,h@  
    M1 =3000;              % Total number of space steps @}+B%R  
    J =100;                % Steps between output of space 1OqVNp%K  
    T =10;                  % length of time windows:T*T0 Kl(u~/=6  
    T0=0.1;                 % input pulse width chE}`I?  
    MN1=0;                 % initial value for the space output location s <$*A;t  
    dt = T/N;                      % time step :N xksL^  
    n = [-N/2:1:N/2-1]';           % Index (~b0-3s  
    t = n.*dt;   gKPqU@$*  
    u10=1.*sech(1*t);              % input to waveguide1 amplitude: power=u10*u10 uIJ zz4  
    u20=u10.*0.0;                  % input to waveguide 2 " 68=dC  
    u1=u10; u2=u20;                 3zM>2)T-  
    U1 = u1;   !+Sd%2o  
    U2 = u2;                       % Compute initial condition; save it in U $uK[[k~=S  
    ww = 4*n.*n*pi*pi/T/T;         % Square of frequency. Note i^2=-1. ??P3gA  
    w=2*pi*n./T; g$# JdN  
    g=-i*ww./2;                    % w=2*pi*f*n./N, f=1/dt=N/T,so w=2*pi*n./T 9w\C vO&R  
    L=4;                           % length of evoluation to compare with S. Trillo's paper  3+M+5  
    dz=L/M1;                       % space step, make sure nonlinear<0.05 n!NA}Oa  
    for m1 = 1:1:M1                                    % Start space evolution zKG]7  
       u1 = exp(dz*i*(abs(u1).*abs(u1))).*u1;          % 1st sSolve nonlinear part of NLS KDDx[]1Q  
       u2 = exp(dz*i*(abs(u2).*abs(u2))).*u2; -#AO4xpI  
       ca1 = fftshift(fft(u1));                        % Take Fourier transform kh>i#9Ie  
       ca2 = fftshift(fft(u2)); '1 \UFz  
       c2=exp(g.*dz).*(ca2+i*1*ca1.*dz);               % approximation cavzXz  
       c1=exp(g.*dz).*(ca1+i*1*ca2.*dz);               % frequency domain phase shift   a-5#8  
       u2 = ifft(fftshift(c2));                        % Return to physical space l~*d0E-$  
       u1 = ifft(fftshift(c1)); AAc2u^spx  
    if rem(m1,J) == 0                                 % Save output every J steps. |X~vsM0  
        U1 = [U1 u1];                                  % put solutions in U array <<1_rRL]  
        U2=[U2 u2]; f{D~ZC.*  
        MN1=[MN1 m1]; !/e8x;_  
        z1=dz*MN1';                                    % output location k~$}&O  
      end u$x'P <b  
    end 1 |3vwgRhs  
    hg=abs(U1').*abs(U1');                             % for data write to excel TiI3<.a!  
    ha=[z1 hg];                                        % for data write to excel ]#$r TWMl'  
    t1=[0 t']; #}'sknvM}  
    hh=[t1' ha'];                                      % for data write to excel file ~$ 4!C'0  
    %dlmwrite('aa',hh,'\t');                           % save data in the excel format n(Ry~Xu_  
    figure(1) byj7c(  
    waterfall(t',z1',abs(U1').*abs(U1'))               % t' is 1xn, z' is 1xm, and U1' is mxn :HN\A4=kc(  
    figure(2) ~T'$gl  
    waterfall(t',z1',abs(U2').*abs(U2'))               % t' is 1xn, z' is 1xm, and U1' is mxn uF-Rl## >  
    xEe3,tb'e  
    非线性超快脉冲耦合的数值方法的Matlab程序 %TQ5#{Y  
    lMXLd91  
    在研究脉冲在非线性耦合器中的演变时,我们需要求解非线性偏微分方程组。在如下的论文中,我们提出了一种简洁的数值方法。 这里我们提供给大家用Matlab编写的计算程序。   Y2y = P  
    Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 TJ(vq]|&  
    _We4%  
    BH?fFe&J:`  
     OV$|!n  
    %  This Matlab script file solves the nonlinear Schrodinger equations T7 XbbU  
    %  for 3 cores nonlinear coupler. The output plot is shown in Fig.2 of a[V4EX1E  
    %  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear J`A )WsKkb  
    %  pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 'Z^KpW  
    &uu69)u  
    C=1;                           '\B!1B>T  
    M1=120,                       % integer for amplitude aaesgF  
    M3=5000;                      % integer for length of coupler #TY[\$BHs  
    N = 512;                      % Number of Fourier modes (Time domain sampling points) n0'"/zyc  
    dz =3.14159/(sqrt(2.)*C)/M3;  % length of coupler is divided into M3 segments,  make sure nonlinearity<0.05. s!K9-qZl<  
    T =40;                        % length of time:T*T0. ~^"s.Lsb  
    dt = T/N;                     % time step T Z@S?r>^  
    n = [-N/2:1:N/2-1]';          % Index ^9*Jz{e  
    t = n.*dt;   .?-]+ -J?`  
    ww = 4*n.*n*pi*pi/T/T;        % Square of frequency. Note i^2=-1. u]QG^1.qYe  
    w=2*pi*n./T; mF] 8  
    g1=-i*ww./2; 5!^?H"#c  
    g2=-i*ww./2;                  % w=2*pi*f*n./N, f=1/dt=N/T,so w=2*pi*n./TP=0; v@]\  P<E  
    g3=-i*ww./2; Ezw<  
    P1=0; Q!}LtR$  
    P2=0; ^Jn=a9Q6Z  
    P3=1; EN2/3~syO-  
    P=0; 5B+I\f&  
    for m1=1:M1                 e5.sqft  
    p=0.032*m1;                %input amplitude &GLe4zEh  
    s10=p.*sech(p.*t);         %input soliton pulse in waveguide 1 ?O#,|\v?]  
    s1=s10; H}&4#CQ'!  
    s20=0.*s10;                %input in waveguide 2 RB/;qdqR  
    s30=0.*s10;                %input in waveguide 3 a6.0 $'  
    s2=s20; '9q:gFO  
    s3=s30; {,CvWL  
    p10=dt*(sum(abs(s10').*abs(s10'))-0.5*(abs(s10(N,1)*s10(N,1))+abs(s10(1,1)*s10(1,1))));   6I$:mHEhd  
    %energy in waveguide 1 GxcW^{;  
    p20=dt*(sum(abs(s20').*abs(s20'))-0.5*(abs(s20(N,1)*s20(N,1))+abs(s20(1,1)*s20(1,1))));   ?$rH yI  
    %energy in waveguide 2 m^ [VM&%  
    p30=dt*(sum(abs(s30').*abs(s30'))-0.5*(abs(s30(N,1)*s30(N,1))+abs(s30(1,1)*s30(1,1))));   "+KAYsVtU  
    %energy in waveguide 3 5QJ FNE  
    for m3 = 1:1:M3                                    % Start space evolution #_[W*-|L  
       s1 = exp(dz*i*(abs(s1).*abs(s1))).*s1;          % 1st step, Solve nonlinear part of NLS !mRDzr7  
       s2 = exp(dz*i*(abs(s2).*abs(s2))).*s2; )1S"D~j-  
       s3 = exp(dz*i*(abs(s3).*abs(s3))).*s3; q|7$@H^*  
       sca1 = fftshift(fft(s1));                       % Take Fourier transform &IgH]?t  
       sca2 = fftshift(fft(s2)); Nc[V kJ]  
       sca3 = fftshift(fft(s3)); SI@Yct]<g  
       sc1=exp(g1.*dz).*(sca1+i*C*sca2.*dz);           % 2nd step, frequency domain phase shift   n!t][d/g+  
       sc2=exp(g2.*dz).*(sca2+i*C*(sca1+sca3).*dz); RI64QD  
       sc3=exp(g3.*dz).*(sca3+i*C*sca2.*dz); Hs6}~d  
       s3 = ifft(fftshift(sc3)); uNRT@@oCq  
       s2 = ifft(fftshift(sc2));                       % Return to physical space >4eZ%</D5  
       s1 = ifft(fftshift(sc1)); nfzKUJY  
    end :\8&Th}Se  
       p1=dt*(sum(abs(s1').*abs(s1'))-0.5*(abs(s1(N,1)*s1(N,1))+abs(s1(1,1)*s1(1,1)))); n aB`@  
       p2=dt*(sum(abs(s2').*abs(s2'))-0.5*(abs(s2(N,1)*s2(N,1))+abs(s2(1,1)*s2(1,1)))); h O}nc$S  
       p3=dt*(sum(abs(s3').*abs(s3'))-0.5*(abs(s3(N,1)*s3(N,1))+abs(s3(1,1)*s3(1,1)))); 5Dlx]_  
       P1=[P1 p1/p10]; Qp]-4%^Vz  
       P2=[P2 p2/p10]; '2.11cM3  
       P3=[P3 p3/p10]; 2 VGGSLr  
       P=[P p*p]; (qXl=e8  
    end `SSUQ#@  
    figure(1) `h|>;u   
    plot(P,P1, P,P2, P,P3); P_3U4J  
    vAp?Zl?g  
    转自:http://blog.163.com/opto_wang/
     
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    只看该作者 1楼 发表于: 2014-06-22
    谢谢哈~!~