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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 J3V= 46Yc  
    ,L2ZinU:  
    %  This Matlab script file solves the coupled nonlinear Schrodinger equations of %6 zB Sje  
    %  soliton in 2 cores coupler. The output pulse evolution plot is shown in Fig.1 of 6GlJ>r+n  
    %  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear Qp5VP@t  
    %   pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 -m zIT4  
    XX TL..  
    %fid=fopen('e21.dat','w'); ,Fl)^Gl8?  
    N = 128;                       % Number of Fourier modes (Time domain sampling points) ?>:g?.+  
    M1 =3000;              % Total number of space steps 0],r0  
    J =100;                % Steps between output of space  4\N ;2N  
    T =10;                  % length of time windows:T*T0 Pbn*_/H  
    T0=0.1;                 % input pulse width /{J4:N'B>  
    MN1=0;                 % initial value for the space output location L<cx:Vz  
    dt = T/N;                      % time step H7Rx>h_  
    n = [-N/2:1:N/2-1]';           % Index C3f' {}  
    t = n.*dt;   .NC!7+1m  
    u10=1.*sech(1*t);              % input to waveguide1 amplitude: power=u10*u10 9<?M8_  
    u20=u10.*0.0;                  % input to waveguide 2 M] %?>G  
    u1=u10; u2=u20;                 [85spub&}  
    U1 = u1;   8NJqV+jn)t  
    U2 = u2;                       % Compute initial condition; save it in U yxQ1`'[CR  
    ww = 4*n.*n*pi*pi/T/T;         % Square of frequency. Note i^2=-1. n38p!oS  
    w=2*pi*n./T; @i_FTN  
    g=-i*ww./2;                    % w=2*pi*f*n./N, f=1/dt=N/T,so w=2*pi*n./T jRlYU`?  
    L=4;                           % length of evoluation to compare with S. Trillo's paper BwEN~2u6  
    dz=L/M1;                       % space step, make sure nonlinear<0.05 fplow  
    for m1 = 1:1:M1                                    % Start space evolution y14;%aQN  
       u1 = exp(dz*i*(abs(u1).*abs(u1))).*u1;          % 1st sSolve nonlinear part of NLS |^I0dR/w:  
       u2 = exp(dz*i*(abs(u2).*abs(u2))).*u2; ;8&3 dm]  
       ca1 = fftshift(fft(u1));                        % Take Fourier transform ~Ffo-Nd-  
       ca2 = fftshift(fft(u2)); ?!:ha;n  
       c2=exp(g.*dz).*(ca2+i*1*ca1.*dz);               % approximation NA`SyKtg_  
       c1=exp(g.*dz).*(ca1+i*1*ca2.*dz);               % frequency domain phase shift   `?rSlR@+[I  
       u2 = ifft(fftshift(c2));                        % Return to physical space B]wk+8SMY.  
       u1 = ifft(fftshift(c1)); HRCT }  
    if rem(m1,J) == 0                                 % Save output every J steps. )EuvRLo{S7  
        U1 = [U1 u1];                                  % put solutions in U array 1=c\Rr9]  
        U2=[U2 u2]; 9L?.m&  
        MN1=[MN1 m1]; Fyx|z'4b  
        z1=dz*MN1';                                    % output location M)+H{5bt  
      end `AtBtjs RV  
    end X7 MM2V  
    hg=abs(U1').*abs(U1');                             % for data write to excel U$.@]F4&  
    ha=[z1 hg];                                        % for data write to excel T*Exs|N2P-  
    t1=[0 t']; n nEgx;Nl0  
    hh=[t1' ha'];                                      % for data write to excel file P )"m0Lu<  
    %dlmwrite('aa',hh,'\t');                           % save data in the excel format nNV'O(x}  
    figure(1) ZF8 yw(z  
    waterfall(t',z1',abs(U1').*abs(U1'))               % t' is 1xn, z' is 1xm, and U1' is mxn N)|yu1S  
    figure(2) ~ 'cmSiz-  
    waterfall(t',z1',abs(U2').*abs(U2'))               % t' is 1xn, z' is 1xm, and U1' is mxn }'V5/>m[  
    6vo;!V6  
    非线性超快脉冲耦合的数值方法的Matlab程序 `2WFk8) F  
    t#})Awy^R  
    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。   ]@c+]{  
    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 #U4F0BdA  
    33x{CY15  
    jXx<`I+]  
    4r#= *  
    %  This Matlab script file solves the nonlinear Schrodinger equations wE>\7a*P%  
    %  for 3 cores nonlinear coupler. The output plot is shown in Fig.2 of {X+3;&@  
    %  Youfa Wang and Wenfeng Wang, “A simple and effective numerical method for nonlinear iRbT/cc{  
    %  pulse propagation in N-core optical couplers”, IEEE Photonics Technology lett. Vol.16, No.4, pp1077-1079, 2004 -UEZ#Q  
    )p0^zv{  
    C=1;                           !u[9a;Sa#  
    M1=120,                       % integer for amplitude $y&E(J  
    M3=5000;                      % integer for length of coupler +F` S>U  
    N = 512;                      % Number of Fourier modes (Time domain sampling points) ;-lXU0}&  
    dz =3.14159/(sqrt(2.)*C)/M3;  % length of coupler is divided into M3 segments,  make sure nonlinearity<0.05. Wx}8T[A}  
    T =40;                        % length of time:T*T0. z"L/G  
    dt = T/N;                     % time step Lc,Pom  
    n = [-N/2:1:N/2-1]';          % Index m+R[#GE8#  
    t = n.*dt;   jl$ece5v  
    ww = 4*n.*n*pi*pi/T/T;        % Square of frequency. Note i^2=-1. rig,mv  
    w=2*pi*n./T; t;Sb/3  
    g1=-i*ww./2; `/XY>T}-  
    g2=-i*ww./2;                  % w=2*pi*f*n./N, f=1/dt=N/T,so w=2*pi*n./TP=0; M61xPq8y5  
    g3=-i*ww./2; Su7?;Oh/yI  
    P1=0; _$Yk M,  
    P2=0; y/{fX(aV  
    P3=1; nZyX|SPk  
    P=0; YMcD|Kbp  
    for m1=1:M1                 H3 ^},.  
    p=0.032*m1;                %input amplitude  a=9:[  
    s10=p.*sech(p.*t);         %input soliton pulse in waveguide 1 ay ;S4c/_  
    s1=s10; gMmaK0uhS  
    s20=0.*s10;                %input in waveguide 2 !4RWYMV "  
    s30=0.*s10;                %input in waveguide 3  SI-qC  
    s2=s20; 5h-SCB>P  
    s3=s30; rC%*$g $  
    p10=dt*(sum(abs(s10').*abs(s10'))-0.5*(abs(s10(N,1)*s10(N,1))+abs(s10(1,1)*s10(1,1))));   C.yQ=\U2  
    %energy in waveguide 1 zuad~%D<I  
    p20=dt*(sum(abs(s20').*abs(s20'))-0.5*(abs(s20(N,1)*s20(N,1))+abs(s20(1,1)*s20(1,1))));   9G#n 0&wRJ  
    %energy in waveguide 2 ColV8oVnU  
    p30=dt*(sum(abs(s30').*abs(s30'))-0.5*(abs(s30(N,1)*s30(N,1))+abs(s30(1,1)*s30(1,1))));   4y?n [/M/  
    %energy in waveguide 3 2j88<Yh]H  
    for m3 = 1:1:M3                                    % Start space evolution 1>_8d"<Gd  
       s1 = exp(dz*i*(abs(s1).*abs(s1))).*s1;          % 1st step, Solve nonlinear part of NLS Smn;(K  
       s2 = exp(dz*i*(abs(s2).*abs(s2))).*s2; ,+DG2u  
       s3 = exp(dz*i*(abs(s3).*abs(s3))).*s3; O7m(o:t x3  
       sca1 = fftshift(fft(s1));                       % Take Fourier transform ^R7lom.  
       sca2 = fftshift(fft(s2)); QL&ZjSN  
       sca3 = fftshift(fft(s3)); -`kW&I0  
       sc1=exp(g1.*dz).*(sca1+i*C*sca2.*dz);           % 2nd step, frequency domain phase shift   X ::JV7hu  
       sc2=exp(g2.*dz).*(sca2+i*C*(sca1+sca3).*dz); ThajHK|U  
       sc3=exp(g3.*dz).*(sca3+i*C*sca2.*dz); t7Iv?5]N  
       s3 = ifft(fftshift(sc3)); IqaT?+O\?r  
       s2 = ifft(fftshift(sc2));                       % Return to physical space N=5a54!/  
       s1 = ifft(fftshift(sc1)); !Vn\u  
    end Bi3<7  
       p1=dt*(sum(abs(s1').*abs(s1'))-0.5*(abs(s1(N,1)*s1(N,1))+abs(s1(1,1)*s1(1,1)))); s4y73-J^.v  
       p2=dt*(sum(abs(s2').*abs(s2'))-0.5*(abs(s2(N,1)*s2(N,1))+abs(s2(1,1)*s2(1,1)))); N1}sHyVq7  
       p3=dt*(sum(abs(s3').*abs(s3'))-0.5*(abs(s3(N,1)*s3(N,1))+abs(s3(1,1)*s3(1,1)))); KE5kOU;  
       P1=[P1 p1/p10]; *=/ { HvJ  
       P2=[P2 p2/p10]; -hGk?_Nqa/  
       P3=[P3 p3/p10]; 3tIVXtUCUk  
       P=[P p*p]; x;P_1J%Q  
    end /tx]5`#@7]  
    figure(1) kX7C3qdmt  
    plot(P,P1, P,P2, P,P3); x:NY\._  
    r1`x=r   
    转自:http://blog.163.com/opto_wang/
     
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    离线ciomplj
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    只看该作者 1楼 发表于: 2014-06-22
    谢谢哈~!~