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fig7.cpp
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fig7.cpp
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#include <stdio.h>
#include <math.h>
#define partes 1000
#define kMax 40000
#define Pi 3.141592654
double soma,epsilon;
double gama22,gama33,gama44,gama12,gama23,gama13,gama14,gama24,gama43;
double OmegaAd[partes+1],OmegaBd[partes+1],OmegaAd0[partes+1],OmegaBd0[partes+1];
double OmegaAf[partes+1],OmegaBf[partes+1],OmegaAf0[partes+1],OmegaBf0[partes+1];
double OmegaAi[partes+1],OmegaBi[partes+1],OmegaAi0[partes+1],OmegaBi0[partes+1];
double OmegaAa[partes+1],OmegaBa[partes+1],OmegaAa0[partes+1],OmegaBa0[partes+1];
double Omegad, Omegaf, Omegaa, Omegai, Af, Ai, Ad, Aa, phif, phii, phid, phia, phiCampo,phiAzul;
double deltad, deltaf, deltaa, deltai, delta, Bf, Bi, Bd, Ba, phi13,phi14,phi12,phi23;
double AAd, BBd, AAf, BBf, AAi, BBi, AAa, BBa;
double h,t,alpha12,alpha23,alpha43,alpha14,DL,eta,s12,s23,s34,s14,mi12;
double Tp,a10,a20,a30,a40,xx,Campod,Campof,Campoi,Campoa;
int Pulsos,i,j,k,m,n,g,N,q,w,passoW,inicio,fim;
double a[17][partes+1],b[17][partes+1],k1[17][partes+1],k2[17][partes+1],k3[17][partes+1],k4[17][partes+1];
double f1(double a11, double a22, double a33, double a44,
double a12, double b12, double a23, double b23,
double a14, double b14, double a43, double b43,
double a13, double b13, double a24, double b24, int i) //sistema de 4 níveis
{
if (i==1) return 2*Ad*b12 - 2*Bd*a12 + 2*Aa*b14 - 2*Ba*a14 + gama22*a22 + gama44*a44;
if (i==2) return -2*Ad*b12 + 2*Bd*a12 + 2*Af*b23 - 2*Bf*a23 - gama22*a22 + 0.5*gama33*a33;
if (i==3) return -2*Ai*b43 + 2*Bi*a43 - 2*Af*b23 + 2*Bf*a23 - gama33*a33;
if (i==4) return 2*Ai*b43 - 2*Bi*a43 - 2*Aa*b14 + 2*Ba*a14 - gama44*a44 + 0.5*gama33*a33;
if (i==5) return -gama12*a12 - 0.0*(deltad-deltaf)*b12 + Aa*b24 + Af*b13 - Ba*a24 - Bf*a13 - Bd*(a22-a11); //a12
if (i==6) return -gama12*b12 + 0.0*(deltad-deltaf)*a12 + Aa*a24 - Af*a13 + Ba*b24 - Bf*b13 + Ad*(a22-a11); //b12
if (i==7) return -gama23*a23 - 0.0*(deltaf-deltad)*b23 - Ad*b13 + Ai*b24 + Bd*a13 + Bi*a24 - Bf*(a33-a22); //a23
if (i==8) return -gama23*b23 + 0.0*(deltaf-deltad)*a23 + Ad*a13 - Ai*a24 + Bd*b13 + Bi*b24 + Af*(a33-a22); //b23
if (i==9) return -gama14*a14 - deltaa*b14 - Ad*b24 + Ai*b13 - Bd*a24 - Bi*a13 - Ba*(a44-a11); //a14
if (i==10) return -gama14*b14 + deltaa*a14 + Ad*a24 - Ai*a13 - Bd*b24 - Bi*b13 + Aa*(a44-a11); //b14
if (i==11) return -gama43*a43 - deltai*b43 - Af*b24 - Aa*b13 + Bf*a24 + Ba*a13 - Bi*(a33-a44); //a43
if (i==12) return -gama43*b43 + deltai*a43 - Af*a24 + Aa*a13 - Bf*b24 + Ba*b13 + Ai*(a33-a44); //b43
if (i==13) return -gama13*a13 - (0)*b13 - Aa*b43 + Af*b12 + Ai*b14 - Ad*b23 - Ba*a43 + Bf*a12 + Bi*a14 - Bd*a23; //a13
if (i==14) return -gama13*b13 + (0)*a13 + Aa*a43 - Af*a12 - Ai*a14 + Ad*a23 - Ba*b43 + Bf*b12 + Bi*b14 - Bd*b23; //b13
if (i==15) return -gama24*a24 - (deltaa-deltad)*b24 - Ad*b14 + Af*b43 + Ai*b23 - Aa*b12 + Ba*a12 - Bf*a43 - Bi*a23 + Bd*a14; //a24
if (i==16) return -gama24*b24 + (deltaa-deltad)*a24 + Ad*a14 + Af*a43 - Ai*a23 - Aa*a12 - Ba*b12 + Bf*b43 - Bi*b23 + Bd*b14; //b24
}
main()
{
FILE *arquivo;
arquivo=fopen("densidade.dat","w");
float unidade = 1e18;
fprintf(arquivo, "Densidade rho11 rho22 rho33 rho44 SomaRho CampoDiodo CampoAzul");fprintf(arquivo,"\n");
fprintf(arquivo, "%.0e", unidade);fprintf(arquivo,"\n");
//19-02-2014
//Modificações:
//
//Plota Populações e coerências vs densidade
//Considera somente um grupo de átomos, em ressonância
//Sistema de 4 níveis com diodo, femto e campos gerados
gama22=(2*Pi)*6e6;gama33=(2*Pi)*660e3;gama44=(2*Pi)*1.3e6;
gama12=0.5*gama22;gama13=0.5*gama33;gama14=0.5*gama44;
gama24=0.5*(gama22+gama44);gama23=0.5*(gama22+gama33);
gama43=0.5*(gama33+gama44);mi12=3.4e5;
Campod=200;s12=0.64;s23=0.81;s34=1;s14=1;
Omegaf=1e7;Omegai=1;Omegaa=0; //em rad/s
passoW=1;
inicio = 0;
fim = 30;
deltaa=0;deltai=0;deltad=0;deltaf=0;
h=5e-12;//*10000/kMax;
DL=1e-6*100/partes; //passo na propagação, em m
a10=1; //população inicial do estado 1
a20=0; //população inicial do estado 2
a30=0; //população inicial do estado 3
a40=0; //população inicial do estado 4
Omegad=Campod*sqrt(s12)*mi12;
for (w=inicio;w<=fim;w++)
{
t=0;
eta=unidade*passoW*w;
xx=eta*0.033; //0.033 = fator de normalização
alpha12=5.3e-6*s12*xx;alpha23=4.3e-7*s23*xx;
alpha43=2.1e-5*s34*xx;alpha14=3.6e-7*s14*xx;
for (q=1; q<=partes; q++)
a[1][q] = a10;
for (q=1; q<=partes; q++)
for (i=2;i<=16;i++)
a[i][q] = 0;
for (k=1;k<=kMax-1;k++) //abre loop de k (temporal)
{
if (k % 1000 == 0)
printf("*");
for (q=1;q<=partes;q++)
{
if (q==1)
{
OmegaAd[q] = Omegad; OmegaBd[q] = 0;
OmegaAf[q] = Omegaf; OmegaBf[q] = 0;
OmegaAi[q] = Omegai; OmegaBi[q] = 0;
OmegaAa[q] = Omegaa; OmegaBa[q] = 0;
}
Ad = OmegaAd[q]; Bd = OmegaBd[q];
Af = OmegaAf[q]; Bf = OmegaBf[q];
Ai = OmegaAi[q]; Bi = OmegaBi[q];
Aa = OmegaAa[q]; Ba = OmegaBa[q];
for (j=1;j<=16;j++)
k1[j][q]=f1(a[1][q],a[2][q],a[3][q],a[4][q],a[5][q],a[6][q],a[7][q],a[8][q],a[9][q],
a[10][q],a[11][q],a[12][q],a[13][q],a[14][q],a[15][q],a[16][q],j);
for (j=1;j<=16;j++)
k2[j][q]=f1(a[1][q]+k1[1][q]*h/2,a[2][q]+k1[2][q]*h/2,a[3][q]+k1[3][q]*h/2,
a[4][q]+k1[4][q]*h/2,a[5][q]+k1[5][q]*h/2,a[6][q]+k1[6][q]*h/2,a[7][q]+k1[6][q]*h/2,
a[8][q]+k1[8][q]*h/2,a[9][q]+k1[9][q]*h/2,a[10][q]+k1[10][q]*h/2,a[11][q]+k1[11][q]*h/2,
a[12][q]+k1[12][q]*h/2,a[13][q]+k1[13][q]*h/2,a[14][q]+k1[14][q]*h/2,a[15][q]+k1[15][q]*h/2,
a[16][q]+k1[16][q]*h/2,j);
for (j=1;j<=16;j++)
k3[j][q]=f1(a[1][q]+k2[1][q]*h/2,a[2][q]+k2[2][q]*h/2,a[3][q]+k2[3][q]*h/2,
a[4][q]+k2[4][q]*h/2,a[5][q]+k2[5][q]*h/2,a[6][q]+k2[6][q]*h/2,a[7][q]+k2[7][q]*h/2,
a[8][q]+k2[8][q]*h/2,a[9][q]+k2[9][q]*h/2,a[10][q]+k2[10][q]*h/2,a[11][q]+k2[11][q]*h/2,
a[12][q]+k2[12][q]*h/2,a[13][q]+k2[13][q]*h/2,a[14][q]+k2[14][q]*h/2,a[15][q]+k2[15][q]*h/2,
a[16][q]+k2[16][q]*h/2,j);
for (j=1;j<=16;j++)
k4[j][q]=f1(a[1][q]+k3[1][q]*h,a[2][q]+k3[2][q]*h,a[3][q]+k3[3][q]*h,a[4][q]+k3[4][q]*h,
a[5][q]+k3[5][q]*h,a[6][q]+k3[6][q]*h,a[7][q]+k3[7][q]*h,a[8][q]+k3[8][q]*h,
a[9][q]+k3[9][q]*h,a[10][q]+k3[10][q]*h,a[11][q]+k3[11][q]*h,a[12][q]+k3[12][q]*h,a[13][q]+k3[13][q]*h,
a[14][q]+k3[14][q]*h,a[15][q]+k3[15][q]*h,a[16][q]+k3[16][q]*h,j);
for (j=1;j<=16;j++)
b[j][q]=a[j][q]+h*(k1[j][q]/6+k2[j][q]/3+k3[j][q]/3+k4[j][q]/6);
for (m=1;m<=16;m++)
a[m][q]=b[m][q];
//equações da propagação
AAd = Ad + b[6][q] *alpha12*DL; BBd = Bd - b[5][q]* alpha12*DL;
AAf = Af + b[8][q] *alpha23*DL; BBf = Bf - b[7][q]* alpha23*DL;
AAa = Aa + b[10][q]*alpha14*DL; BBa = Ba - b[9][q]* alpha14*DL;
AAi = Ai + b[12][q]*alpha43*DL; BBi = Bi - b[11][q]*alpha43*DL;
if (q==partes && k==kMax-1)
{
soma=b[1][q]+b[2][q]+b[3][q]+b[4][q];
printf("\n");
printf("%d %10.8f %10.8f %10.8f %10.8f %12.10f %12.10f",
w,b[1][q],b[2][q],b[3][q],b[4][q],soma,sqrt(AAa*AAa+BBa*BBa));
printf("\n");
fprintf(arquivo,"%d %12.10f %12.10f %12.10f %12.10f %14.12f %16.14f %16.14f",
w*passoW,b[1][q],b[2][q],b[3][q],b[4][q],soma,sqrt(AAd*AAd+BBd*BBd)/Omegad,sqrt(AAa*AAa+BBa*BBa));
fprintf(arquivo,"\n");
t=t+h;
}
OmegaAd[q+1] = AAd; OmegaBd[q+1] = BBd;
OmegaAf[q+1] = AAf; OmegaBf[q+1] = BBf;
OmegaAi[q+1] = AAi; OmegaBi[q+1] = BBi;
OmegaAa[q+1] = AAa; OmegaBa[q+1] = BBa;
}//fecha loop de q
}//fecha loop de k
}
fclose(arquivo);
printf("\a");
}