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2D Gauss Beam #2

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2D Gauss Beam #2

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dbf7ece
2D Gauss Beam
Apr 8, 2019
10bfb99
tmp commit
Apr 8, 2019
1d2aa8f
Working 2D Gauss Beam implemented
Apr 22, 2019
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67 changes: 49 additions & 18 deletions include/CRT_Base_IF.h
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Original file line number Diff line number Diff line change
Expand Up @@ -451,6 +451,7 @@ void CRT_Base_IF<T,dim,no_int_states>::Do_NL_Step()
//tmp !!
// absorption of wavefuntion at boundaries
// can be commented out if necessary
/*
for ( int k=0; k<no_int_states; k++ )
{
for ( int m=0; m<1000; m++ )
Expand All @@ -461,7 +462,7 @@ void CRT_Base_IF<T,dim,no_int_states>::Do_NL_Step()
Psi[k][this->m_no_of_pts-m][0] = Psi[k][this->m_no_of_pts-m][0] * pow(sin(M_PI/2/1000*m),2);
Psi[k][this->m_no_of_pts-m][1] = Psi[k][this->m_no_of_pts-m][1] * pow(sin(M_PI/2/1000*m),2);
}
}
} */
}

/** Solves the potential part in the presence of light fields with a numerical method
Expand Down Expand Up @@ -587,15 +588,7 @@ void CRT_Base_IF<T,dim,no_int_states>::Numerical_Raman()
const double dt = -m_header.dt;
const double t1 = this->Get_t();

std::array<double,2> laser_k_tmp, laser_w_tmp;
const double d_02_sm = -sqrt(5.0/24.0);
const double d_03_sp = sqrt(5.0/24.0);
const double d_12_sm = sqrt(1.0/120.0);
const double d_13_sp = sqrt(1.0/120.0);
const double d_04_sm = sqrt(1.0/8.0);
const double d_05_sp = sqrt(1.0/8.0);
const double d_14_sm = -sqrt(1.0/8.0);
const double d_15_sp = sqrt(1.0/8.0);
std::array<double,2> laser_k_tmp, laser_w_tmp, z_R, waist_0, z_0, GaussAmp, R_c, Phase_c, waist, gouy;

vector<fftw_complex *> Psi;
for ( int i=0; i<no_int_states; i++ )
Expand All @@ -610,20 +603,30 @@ void CRT_Base_IF<T,dim,no_int_states>::Numerical_Raman()
gsl_matrix_complex *evec = gsl_matrix_complex_alloc(no_int_states,no_int_states);

double phi[no_int_states], re1, re2, im1, im2, eta[2];
double tmp_cos_pos, tmp_cos_pos_cc, tmp_cos_neg, tmp_cos_neg_cc;
CPoint<dim> x;
std::array<double,2> chirp_alpha = this->chirp_alpha;
double doppler_beta = v_0/c_p + (g_0*t1)/c_p;

// Correction for chirp
laser_w_tmp[0] = laser_w[0]+chirp_alpha[0]*t1;
laser_k_tmp[0] = laser_w[0]/c_p;
laser_w_tmp[1] = laser_w[1]+chirp_alpha[1]*t1;
laser_k_tmp[1] = laser_w[1]/c_p;

double laser_domh_tmp = laser_w_tmp[0]-laser_w_tmp[1];

// -------------------

// Gauss Beam Parameter
z_0[0] = 0;
z_0[1] = 0;
waist_0[0] = 7; // std::numeric_limits<float>::max() for plane waves
waist_0[1] = 7;
z_R[0] = laser_k_tmp[0]/2 * pow(waist_0[0],2);
z_R[1] = laser_k_tmp[1]/2 * pow(waist_0[1],2);
// -------------------

// Main Diagonal of Hamiltonian in Rotating Frame
DeltaL[0] = laser_w_tmp[0]-omega_ig;
DeltaL[1] = laser_w_tmp[1]-omega_ie;
// -------------------

#pragma omp for
for ( int l=0; l<this->m_no_of_pts; l++ )
Expand All @@ -647,29 +650,57 @@ void CRT_Base_IF<T,dim,no_int_states>::Numerical_Raman()
gsl_matrix_complex_set(A,i,i, {phi[i],0});
}

// 2D Gauss Amplitude x[0] is z-axis and x[1] is y-axis also called radius
waist[0] = waist_0[0] * sqrt( 1 + pow((x[0]-z_0[0])/z_R[0], 2) );
waist[1] = waist_0[1] * sqrt( 1 + pow((x[0]-z_0[0])/z_R[1], 2) );
R_c[0] = (x[0]-z_0[0]) * ( 1 + pow(z_R[0]/(x[0]-z_0[0]),2) );
R_c[1] = (x[0]-z_0[1]) * ( 1 + pow(z_R[1]/(x[0]-z_0[1]),2) );
// The Radius of curvature can be infinite. This is catched here
if (R_c[0] != R_c[0]) {
R_c[0] = std::numeric_limits<float>::max();
}
if (R_c[1] != R_c[1]) {
R_c[1] = std::numeric_limits<float>::max();
}
//-----------------------------------
Phase_c[0] = pow(x[1],2)/(2*R_c[0]);
Phase_c[1] = pow(x[1],2)/(2*R_c[1]);

gouy[0] = atan( (x[0]-z_0[0])/z_R[0] );
gouy[1] = atan( (x[0]-z_0[0])/z_R[1] );

GaussAmp[0] = waist_0[0] / waist[0] * exp( - pow(x[1]/waist[0],2) );
GaussAmp[1] = waist_0[1] / waist[1] * exp( - pow(x[1]/waist[1],2) );

//---------------------------------------------

//Raman
//---------------------------------------------

sincos(laser_k_tmp[0] * x[0] * (doppler_beta - 1) - doppler_beta * laser_w_tmp[0] * t1 - Phi_1_sm[0], &im1, &re1 ); // For right going light
sincos(laser_k_tmp[0] * x[0] * (doppler_beta + 1) + doppler_beta * laser_w_tmp[0] * t1 - Phi_1_sm[1], &im2, &re2 ); // For left going light
sincos(laser_k_tmp[0] * (x[0] + Phase_c[0] ) * (doppler_beta - 1) - doppler_beta * laser_w_tmp[0] * t1 - Phi_1_sm[0] - gouy[0], &im1, &re1 ); // For right going light
sincos(laser_k_tmp[0] * (x[0] + Phase_c[0] ) * (doppler_beta + 1) + doppler_beta * laser_w_tmp[0] * t1 - Phi_1_sm[1] - gouy[0], &im2, &re2 ); // For left going light

//---------------------------------------------

eta[0] = re1 * Amp_1_sm[0] + re2 * Amp_1_sm[1];
eta[0] *= GaussAmp[0];
eta[1] = im1 * Amp_1_sm[0] + im2 * Amp_1_sm[1];
eta[1] *= GaussAmp[0];

gsl_matrix_complex_set(A,0,2, {eta[0],eta[1]});
gsl_matrix_complex_set(A,2,0, {eta[0],-eta[1]});

//---------------------------------------------

sincos(laser_k_tmp[1] * x[0] * (doppler_beta - 1) - doppler_beta * laser_w_tmp[1] * t1 - Phi_2_sm[0], &im1, &re1 );
sincos(laser_k_tmp[1] * x[0] * (doppler_beta + 1) + doppler_beta * laser_w_tmp[1] * t1 - Phi_2_sm[1], &im2, &re2 );
sincos(laser_k_tmp[1] * (x[0] + Phase_c[1] ) * (doppler_beta - 1) - doppler_beta * laser_w_tmp[1] * t1 - Phi_2_sm[0] - gouy[1], &im1, &re1 );
sincos(laser_k_tmp[1] * (x[0] + Phase_c[1] ) * (doppler_beta + 1) + doppler_beta * laser_w_tmp[1] * t1 - Phi_2_sm[1] - gouy[1], &im2, &re2 );

//---------------------------------------------

eta[0] = re1 * Amp_2_sm[0] + re2 * Amp_2_sm[1];
eta[0] *= GaussAmp[1];
eta[1] = im1 * Amp_2_sm[0] + im2 * Amp_2_sm[1];
eta[0] *= GaussAmp[1];

gsl_matrix_complex_set(A,1,2, {eta[0],eta[1]});
gsl_matrix_complex_set(A,2,1, {eta[0],-eta[1]});
Expand Down
19 changes: 5 additions & 14 deletions raman.xml
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Original file line number Diff line number Diff line change
@@ -1,11 +1,10 @@
<SIMULATION>
<DIM>1</DIM>
<DIM>2</DIM>
<FILENAME>0.000_1.bin</FILENAME>
<FILENAME_2>0.000_2.bin</FILENAME_2>
<FILENAME_3>0.000_2.bin</FILENAME_3>
<CONSTANTS>
<!--<b>0.00000455161042554601</b>-->
<b>0</b>
<b>0.000100</b>
<v_0>0</v_0>
<g_0>0</g_0>
<c_p>299792458</c_p>
Expand All @@ -23,15 +22,7 @@

</VCONSTANTS>
<SEQUENCE>
<freeprop Nk="1000" dt="2" output_freq="each" pn_freq="seach">20000</freeprop>
<raman Amp_1_sm_l="0" Amp_1_sm_r="13.1422249645585" Amp_1_sp_l="0" Amp_1_sp_r="0" Amp_2_sm_l="13.1422249645585" Amp_2_sm_r="0" Amp_2_sp_l="0" Amp_2_sp_r="0" Nk="500" Phi_1_sm_l="0" Phi_1_sm_r="0" Phi_1_sp_l="0" Phi_1_sp_r="0" Phi_2_sm_l="0" Phi_2_sm_r="0" Phi_2_sp_l="0" Phi_2_sp_r="0" chirp_w1="0" chirp_w2="0" dt="0.02" laser_w1="2414211878.10344" laser_w2="2414168934.43131" output_freq="each" pn_freq="each" rabi_output_freq="none">20</raman>
<freeprop Nk="1000" dt="2" output_freq="each" pn_freq="each">2000</freeprop>
<raman Amp_1_sm_l="5.87738167926950" Amp_1_sm_r="0" Amp_1_sp_l="0" Amp_1_sp_r="0" Amp_2_sm_l="0" Amp_2_sm_r="5.87738167926950" Amp_2_sp_l="0" Amp_2_sp_r="0" Nk="500" Phi_1_sm_l="0" Phi_1_sm_r="0" Phi_1_sp_l="0" Phi_1_sp_r="0" Phi_2_sm_l="0" Phi_2_sm_r="0" Phi_2_sp_l="0" Phi_2_sp_r="0" chirp_w1="0" chirp_w2="0" dt="0.02" laser_w1="2414211878.10344" laser_w2="2414168934.43131" output_freq="last" pn_freq="each" rabi_output_freq="none">100</raman>
<freeprop Nk="1000" dt="2" output_freq="each" pn_freq="each">260000</freeprop>
<raman Amp_1_sm_l="0" Amp_1_sm_r="13.1422249645585" Amp_1_sp_l="0" Amp_1_sp_r="0" Amp_2_sm_l="13.1422249645585" Amp_2_sm_r="0" Amp_2_sp_l="0" Amp_2_sp_r="0" Nk="500" Phi_1_sm_l="0" Phi_1_sm_r="0" Phi_1_sp_l="0" Phi_1_sp_r="0" Phi_2_sm_l="0" Phi_2_sm_r="0" Phi_2_sp_l="0" Phi_2_sp_r="0" chirp_w1="0" chirp_w2="0" dt="0.02" laser_w1="2414211878.10344" laser_w2="2414168934.43131" output_freq="each" pn_freq="each" rabi_output_freq="none">40</raman>
<freeprop Nk="1000" dt="2" output_freq="each" pn_freq="each">260000</freeprop>
<raman Amp_1_sm_l="0" Amp_1_sm_r="13.1422249645585" Amp_1_sp_l="0" Amp_1_sp_r="0" Amp_2_sm_l="13.1422249645585" Amp_2_sm_r="0" Amp_2_sp_l="0" Amp_2_sp_r="0" Nk="500" Phi_1_sm_l="0" Phi_1_sm_r="0" Phi_1_sp_l="0" Phi_1_sp_r="0" Phi_2_sm_l="0" Phi_2_sm_r="0" Phi_2_sp_l="0" Phi_2_sp_r="0" chirp_w1="0" chirp_w2="0" dt="0.02" laser_w1="2414211878.10344" laser_w2="2414168934.43131" output_freq="each" pn_freq="each" rabi_output_freq="none">20</raman>
<freeprop Nk="1000" dt="2" output_freq="each" pn_freq="seach">20000</freeprop>
</SEQUENCE>
</SIMULATION>
<raman Amp_1_sm_l="0" Amp_1_sm_r="13.1422249645585" Amp_1_sp_l="0" Amp_1_sp_r="0" Amp_2_sm_l="13.1422249645585" Amp_2_sm_r="0" Amp_2_sp_l="0" Amp_2_sp_r="0" Nk="10" Phi_1_sm_l="0" Phi_1_sm_r="0" Phi_1_sp_l="0" Phi_1_sp_r="0" Phi_2_sm_l="0" Phi_2_sm_r="0" Phi_2_sp_l="0" Phi_2_sp_r="0" chirp_w1="0" chirp_w2="0" dt="0.2" laser_w1="2414211878.10344" laser_w2="2414168934.43131" output_freq="each" pn_freq="each" rabi_output_freq="none">80</raman>

</SEQUENCE>
</SIMULATION>