切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 9515阅读
    • 1回复

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

    上一主题 下一主题
    离线tianmen
     
    发帖
    58
    光币
    15
    光券
    0
    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 JOeeU8C  
    M@v.c; Lt  
    %  This Matlab script file solves the coupled nonlinear Schrodinger equations of tW}'g:s  
    %  soliton in 2 cores coupler. The output pulse evolution plot is shown in Fig.1 of mGg+.PFsM  
    %  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear r0% D58  
    %   pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 5D//*}b,  
    `1IgzKL9  
    %fid=fopen('e21.dat','w'); $Ri; ^pZw[  
    N = 128;                       % Number of Fourier modes (Time domain sampling points) a~y'RyA  
    M1 =3000;              % Total number of space steps B>P{A7Q  
    J =100;                % Steps between output of space &7tbI5na@  
    T =10;                  % length of time windows:T*T0 DT&@^$?  
    T0=0.1;                 % input pulse width 5vnrA'BhBU  
    MN1=0;                 % initial value for the space output location 0*{%=M  
    dt = T/N;                      % time step ^v7gIC  
    n = [-N/2:1:N/2-1]';           % Index &`2)V;t  
    t = n.*dt;   $X,D(  
    u10=1.*sech(1*t);              % input to waveguide1 amplitude: power=u10*u10 )irEM  
    u20=u10.*0.0;                  % input to waveguide 2 JYHl,HH#z  
    u1=u10; u2=u20;                 ~q25Yx9W@  
    U1 = u1;   ((M>s&\y*Y  
    U2 = u2;                       % Compute initial condition; save it in U j3E7zRm] \  
    ww = 4*n.*n*pi*pi/T/T;         % Square of frequency. Note i^2=-1. 4ID5q~  
    w=2*pi*n./T; Qj3EXb  
    g=-i*ww./2;                    % w=2*pi*f*n./N, f=1/dt=N/T,so w=2*pi*n./T :& ."ttf=  
    L=4;                           % length of evoluation to compare with S. Trillo's paper #Ki[$bS~6  
    dz=L/M1;                       % space step, make sure nonlinear<0.05 L$M9w  
    for m1 = 1:1:M1                                    % Start space evolution !%%6dB@%t  
       u1 = exp(dz*i*(abs(u1).*abs(u1))).*u1;          % 1st sSolve nonlinear part of NLS m^;f(IK5  
       u2 = exp(dz*i*(abs(u2).*abs(u2))).*u2; )bscBj@  
       ca1 = fftshift(fft(u1));                        % Take Fourier transform /aZ`[m2  
       ca2 = fftshift(fft(u2)); WCixKYq  
       c2=exp(g.*dz).*(ca2+i*1*ca1.*dz);               % approximation s`~IUNJ@P  
       c1=exp(g.*dz).*(ca1+i*1*ca2.*dz);               % frequency domain phase shift   'E""amIJ  
       u2 = ifft(fftshift(c2));                        % Return to physical space ge8ZsaiU  
       u1 = ifft(fftshift(c1)); draN0v f  
    if rem(m1,J) == 0                                 % Save output every J steps. 9InVQCf2J  
        U1 = [U1 u1];                                  % put solutions in U array [Y| t]^M  
        U2=[U2 u2]; \(2sW^fY  
        MN1=[MN1 m1]; II{&{S'HU  
        z1=dz*MN1';                                    % output location VRB;$  
      end P71Lqy)5}A  
    end c'yxWZEv  
    hg=abs(U1').*abs(U1');                             % for data write to excel NqWdRU  
    ha=[z1 hg];                                        % for data write to excel E+;7>ja  
    t1=[0 t']; 9~[Y-cpoi  
    hh=[t1' ha'];                                      % for data write to excel file KJ4.4Zq{c  
    %dlmwrite('aa',hh,'\t');                           % save data in the excel format ePo}y])2  
    figure(1) n /m G|)Xt  
    waterfall(t',z1',abs(U1').*abs(U1'))               % t' is 1xn, z' is 1xm, and U1' is mxn Q hO!Ma]  
    figure(2) ]~3V}z,T*  
    waterfall(t',z1',abs(U2').*abs(U2'))               % t' is 1xn, z' is 1xm, and U1' is mxn 61'XgkacDS  
    =Jb>x#Y  
    非线性超快脉冲耦合的数值方法的Matlab程序 H"WprHe  
    8 v%o,"  
    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。   6(ol1 (U  
    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 E hMNap}5"  
    1bX<$>x9u  
    l!u_"I8j5  
    #S"nF@   
    %  This Matlab script file solves the nonlinear Schrodinger equations B^^#D0<  
    %  for 3 cores nonlinear coupler. The output plot is shown in Fig.2 of 1p=]hC  
    %  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear c5GuM|*7  
    %  pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 vy I!]p  
    11;MN  
    C=1;                           R8'RA%O9J  
    M1=120,                       % integer for amplitude g3y+&Y_  
    M3=5000;                      % integer for length of coupler I b5rqU\  
    N = 512;                      % Number of Fourier modes (Time domain sampling points) j&qub_j"xX  
    dz =3.14159/(sqrt(2.)*C)/M3;  % length of coupler is divided into M3 segments,  make sure nonlinearity<0.05. TarY|P7_  
    T =40;                        % length of time:T*T0. tY4;F\e2|A  
    dt = T/N;                     % time step [d ]9Oa4  
    n = [-N/2:1:N/2-1]';          % Index {R `[kt  
    t = n.*dt;   i=2N;sAl  
    ww = 4*n.*n*pi*pi/T/T;        % Square of frequency. Note i^2=-1. [/8%3  
    w=2*pi*n./T; l+^*LqEW2  
    g1=-i*ww./2; b d!Y\OD  
    g2=-i*ww./2;                  % w=2*pi*f*n./N, f=1/dt=N/T,so w=2*pi*n./TP=0; d/~9&wLSb  
    g3=-i*ww./2; DSn_0D  
    P1=0; hp|YE'uYT  
    P2=0; L.JT[zOfb  
    P3=1; '}Z<h?9  
    P=0; "3Y0`&:D  
    for m1=1:M1                 5`p.#  
    p=0.032*m1;                %input amplitude Slc\&Eb  
    s10=p.*sech(p.*t);         %input soliton pulse in waveguide 1 }Jj}%XxKs  
    s1=s10; @f3E`8  
    s20=0.*s10;                %input in waveguide 2 ; BHtCuY  
    s30=0.*s10;                %input in waveguide 3 a9Zq{Ysj  
    s2=s20;  rjnrju+  
    s3=s30; wN~_v-~*Q  
    p10=dt*(sum(abs(s10').*abs(s10'))-0.5*(abs(s10(N,1)*s10(N,1))+abs(s10(1,1)*s10(1,1))));   5\VWCI  
    %energy in waveguide 1 iDqoa\  
    p20=dt*(sum(abs(s20').*abs(s20'))-0.5*(abs(s20(N,1)*s20(N,1))+abs(s20(1,1)*s20(1,1))));   [ub e6  
    %energy in waveguide 2 sK?twg;D*|  
    p30=dt*(sum(abs(s30').*abs(s30'))-0.5*(abs(s30(N,1)*s30(N,1))+abs(s30(1,1)*s30(1,1))));   |M;7>'YNC*  
    %energy in waveguide 3 )zDCu`  
    for m3 = 1:1:M3                                    % Start space evolution }i&/ G +_  
       s1 = exp(dz*i*(abs(s1).*abs(s1))).*s1;          % 1st step, Solve nonlinear part of NLS <lJ345Q  
       s2 = exp(dz*i*(abs(s2).*abs(s2))).*s2; >Cq<@$I2EB  
       s3 = exp(dz*i*(abs(s3).*abs(s3))).*s3; a/xn'"eli  
       sca1 = fftshift(fft(s1));                       % Take Fourier transform :?1Dko^  
       sca2 = fftshift(fft(s2)); ?(_08O  
       sca3 = fftshift(fft(s3)); SQ+Gvq%Q]  
       sc1=exp(g1.*dz).*(sca1+i*C*sca2.*dz);           % 2nd step, frequency domain phase shift   wi{3/  
       sc2=exp(g2.*dz).*(sca2+i*C*(sca1+sca3).*dz); *MW\^PR?  
       sc3=exp(g3.*dz).*(sca3+i*C*sca2.*dz); 'i|YlMFIg  
       s3 = ifft(fftshift(sc3)); R[]Mdt<  
       s2 = ifft(fftshift(sc2));                       % Return to physical space h^P#{W!e\  
       s1 = ifft(fftshift(sc1)); @gK?\URoT  
    end W: z;|FF  
       p1=dt*(sum(abs(s1').*abs(s1'))-0.5*(abs(s1(N,1)*s1(N,1))+abs(s1(1,1)*s1(1,1)))); aV0"~5  
       p2=dt*(sum(abs(s2').*abs(s2'))-0.5*(abs(s2(N,1)*s2(N,1))+abs(s2(1,1)*s2(1,1)))); B/Ws_Kv  
       p3=dt*(sum(abs(s3').*abs(s3'))-0.5*(abs(s3(N,1)*s3(N,1))+abs(s3(1,1)*s3(1,1))));  uHRsFlw  
       P1=[P1 p1/p10]; +k R4E23:  
       P2=[P2 p2/p10]; N?`' /e  
       P3=[P3 p3/p10]; >9Vn.S  
       P=[P p*p]; N!tX<u~2  
    end ,64 -1!  
    figure(1) -jm Y)(\  
    plot(P,P1, P,P2, P,P3); `N8O"UcoBo  
    )NT*bLRPQ  
    转自:http://blog.163.com/opto_wang/
     
    分享到
    离线ciomplj
    发帖
    319
    光币
    1
    光券
    0
    只看该作者 1楼 发表于: 2014-06-22
    谢谢哈~!~