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1;
clear all;
t0 = clock (); % we will use this latter to calculate elapsed time
% load useful functions;
useful_functions;
% some physical constants
useful_constants;
basis_transformation; % load subroutines
% load atom energy levels and decay description
rb87_D1_line;
%four_levels_with_polarization;
%four_levels;
%three_levels;
%two_levels;
% load EM field description
field_description;
%Nfreq=length(modulation_freq);
%tune probe frequency
detuning_p=0;
N_detun_steps=100;
%detuning_p_min=-B_field*gmg*4; % span +/-4 Zeeman splitting
detuning_p_min=-200.0;
detuning_p_max=-detuning_p_min;
detuning_p_max=1000;
detuning_freq=linspace(detuning_p_min,detuning_p_max,N_detun_steps);
%detuning_freq=zeros(1,N_detun_steps+1);
kappa_p =zeros(1,N_detun_steps+1);
kappa_m =zeros(1,N_detun_steps+1);
detun_step=(detuning_p_max-detuning_p_min)/N_detun_steps;
fprintf (stderr, "calculating atom properties\n");
fflush (stderr);
pfile='rb87_D1_line.m'; % the parent file from which L0_and_polarization_submatrices calculated
cfile='L0m_and_polarizability_calculated.mat'; % the child file to which calculated matrices writen
[s, err, msg] = stat (pfile);
if(err)
%file does not exist
disp('Big troubles are coming, no file to define Hamiltonian)');
msg=cstrcat('File: ', pfile, ' is missing...exiting');
disp(msg);
return;
else
pfile_mtime=s.mtime;
endif
[s, err, msg] = stat (cfile);
if(err)
%file does not exist
cfile_mtime=0;
else
cfile_mtime=s.mtime;
endif;
if ( cfile_mtime >= pfile_mtime)
% matrices already calculated and up to date, all we need to load them
load(cfile);
else
% calculate E_field independent properties of the atom
% to be used as sub matrix templates for Liouville operator matrix
[L0m, polarizability_m]=L0_and_polarization_submatrices( ...
Nlevels, ...
H0, g_decay, g_dephasing, dipole_elements ...
);
save(cfile, 'L0m', 'polarizability_m');
endif
elapsed_time = etime (clock (), t0);
fprintf (stderr, "elapsed time so far is %.3f sec\n",elapsed_time);
fflush (stderr);
global atom_properties;
atom_properties.L0m=L0m;
atom_properties.polarizability_m=polarizability_m;
atom_properties.dipole_elements=dipole_elements;
%light_positive_freq = [wp];
E_field_drive = [0 ];
E_field_probe = [Ep ];
E_field_zero = [0 ];
E_field_lab_pos_freq.linear = E_field_zero + (1.00000+0.00000i)*E_field_probe + (1.00000+0.00000i)*E_field_drive;
%E_field_lab_pos_freq.right = E_field_zero + (0.00000+0.00000i)*E_field_probe + (0.00000+0.00000i)*E_field_drive;
%E_field_lab_pos_freq.left = E_field_zero + (0.00000+0.00000i)*E_field_probe + (0.00000+0.00000i)*E_field_drive;
% phi is angle between linear polarization and axis x
phi=pi*2/8;
% theta is angle between lab z axis (light propagation direction) and magnetic field axis (z')
theta=0;
% psi_el is the ellipticity parameter (phase difference between left and right polarization)
psi_el=-5/180*pi;
% we define light as linearly polarized
% where phi is angle between light polarization and axis x
% only sign of modulation frequency is important now
% we define actual frequency later on
[E_field_lab_pos_freq.x, E_field_lab_pos_freq.y] = rotXpolarization(phi, E_field_lab_pos_freq.linear);
% we add required ellipticity
E_field_lab_pos_freq.x*=exp(I*psi_el);
E_field_lab_pos_freq.y*=exp(-I*psi_el);
E_field_lab_pos_freq.z=E_field_zero;
E_field_pos_freq=xyz_lin2atomic_axis_polarization(theta, E_field_lab_pos_freq);
fprintf (stderr, "tuning laser in forloop to set conditions vs detuning\n");
fflush (stderr);
for detuning_p_cntr=1:length(detuning_freq);
wp0=w_pf1-w_sf2; %Fg=2 -> Fe=1
%wd=w_pf1-w_hpf_ground;
%detuning_p=detuning_p_min+detun_step*(detuning_p_cntr-1);
detuning_p=detuning_freq(detuning_p_cntr);
wp=wp0+detuning_p;
light_positive_freq=[ wp];
% we calculate dc and negative frequiencies as well as amplitudes
[modulation_freq, E_field] = ...
light_positive_frequencies_and_amplitudes2full_set_of_modulation_frequencies_and_amlitudes(...
light_positive_freq, E_field_pos_freq);
freq_index=freq2index(wp,modulation_freq);
atom_field_problem.E_field = E_field;
atom_field_problem.modulation_freq = modulation_freq;
atom_field_problem.freq_index = freq_index;
problems_cell_array{detuning_p_cntr}=atom_field_problem;
%kappa_p(detuning_p_cntr)=susceptibility_steady_state_at_freq( atom_field_problem);
%detuning_freq(detuning_p_cntr)=detuning_p;
endfor
save '/tmp/problem_definition.mat' problems_cell_array atom_properties detuning_freq ;
fprintf (stderr, "now really hard calculations begin\n");
fflush (stderr);
% once we define all problems the main job is done here
[xi_linear, xi_left, xi_right]=parcellfun(2, @susceptibility_steady_state_at_freq, problems_cell_array);
%[xi_linear, xi_left, xi_right]=cellfun( @susceptibility_steady_state_at_freq, problems_cell_array);
%save '/tmp/relative_transmission_vs_detuning.mat' detuning_freq relative_transmission_vs_detuning;
save '/tmp/xi_vs_detuning.mat' detuning_freq xi_linear xi_left xi_right E_field_pos_freq E_field_probe ;
output_psr_results_vs_detuning;
elapsed_time = etime (clock (), t0)
% vim: ts=2:sw=2:fdm=indent
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