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synchrotron.c
executable file
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synchrotron.c
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#include "dec.h"
#include "cosmic_rays.h"
#include "runge_kutta.h"
#include "read_parameters.h"
#include "synchrotron.h"
#include "jet.h"
/***********************************************************************/
/* Runge Kutta 2nd order, see Numerical Recipies §16*/
/* Auxiliary variable y2=dy1_dz*/
/* Convert second order equation into to ordinary diff eq.*/
double synchrotron (double x)
{
double x_diff, x_min, intensity;
int i_syn, i_syn_min;
syn[0].x = 0.00;
syn[1].x = 0.01;
syn[2].x = 0.02;
syn[3].x = 0.03;
syn[4].x = 0.04;
syn[5].x = 0.05;
syn[6].x = 0.06;
syn[7].x = 0.07;
syn[8].x = 0.08;
syn[9].x = 0.09;
syn[10].x = 0.10;
syn[11].x = 0.12;
syn[12].x = 0.14;
syn[13].x = 0.16;
syn[14].x = 0.18;
syn[15].x = 0.20;
syn[16].x = 0.22;
syn[17].x = 0.24;
syn[18].x = 0.26;
syn[19].x = 0.28;
syn[20].x = 0.30;
syn[21].x = 0.40;
syn[22].x = 0.50;
syn[23].x = 0.60;
syn[24].x = 0.70;
syn[25].x = 0.80;
syn[26].x = 0.90;
syn[27].x = 1.0;
syn[28].x = 1.1;
syn[29].x = 1.2;
syn[30].x = 1.3;
syn[31].x = 1.4;
syn[32].x = 1.5;
syn[33].x = 1.6;
syn[34].x = 1.7;
syn[35].x = 1.8;
syn[36].x = 1.9;
syn[37].x = 2.0;
syn[38].x = 2.5;
syn[39].x = 3.0;
syn[40].x = 3.5;
syn[41].x = 4.0;
syn[42].x = 4.5;
syn[43].x = 5.0;
syn[44].x = 5.5;
syn[45].x = 6.0;
syn[46].x = 6.5;
syn[47].x = 7.0;
syn[48].x = 7.5;
syn[49].x = 8.0;
syn[50].x = 8.5;
syn[51].x = 9.0;
syn[52].x = 9.5;
syn[53].x = 10.0;
syn[0].f = 0.0;
syn[1].f = 0.4450;
syn[2].f = 0.5472;
syn[3].f = 0.6136;
syn[4].f = 0.6628;
syn[5].f = 0.7016;
syn[6].f = 0.7332;
syn[7].f = 0.7597;
syn[8].f = 0.7822;
syn[9].f = 0.8015;
syn[10].f = 0.8182;
syn[11].f = 0.8454;
syn[12].f = 0.8662;
syn[13].f = 0.8822;
syn[14].f = 0.8943;
syn[15].f = 0.9034;
syn[16].f = 0.9099;
syn[17].f = 0.9143;
syn[18].f = 0.9169;
syn[19].f = 0.9179;
syn[20].f = 0.9177;
syn[21].f = 0.9019;
syn[22].f = 0.8708;
syn[23].f = 0.8315;
syn[24].f = 0.7879;
syn[25].f = 0.7424;
syn[26].f = 0.6966;
syn[27].f = 0.6514;
syn[28].f = 0.6075;
syn[29].f = 0.5653;
syn[30].f = 0.5250;
syn[31].f = 0.4867;
syn[32].f = 0.4506;
syn[33].f = 0.4167;
syn[34].f = 0.3849;
syn[35].f = 0.3551;
syn[36].f = 0.3274;
syn[37].f = 0.3016;
syn[38].f = 0.1981;
syn[39].f = 0.1286;
syn[40].f = 0.0827;
syn[41].f = 0.0528;
syn[42].f = 0.0336;
syn[43].f = 0.0213;
syn[44].f = 0.0134;
syn[45].f = 8.37e-3;
syn[46].f = 5.30e-3;
syn[47].f = 3.32e-3;
syn[48].f = 2.01e-3;
syn[49].f = 1.30e-3;
syn[50].f = 8.12e-4;
syn[51].f = 5.07e-4;
syn[52].f = 3.18e-4;
syn[53].f = 1.92e-4;
syn[0].g = 0.0;
syn[1].g = 0.2310;
syn[2].g = 0.2900;
syn[3].g = 0.3305;
syn[4].g = 0.3621;
syn[5].g = 0.3881;
syn[6].g = 0.4102;
syn[7].g = 0.4295;
syn[8].g = 0.4465;
syn[9].g = 0.4617;
syn[10].g = 0.4753;
syn[11].g = 0.4988;
syn[12].g = 0.5184;
syn[13].g = 0.5348;
syn[14].g = 0.5486;
syn[15].g = 0.5604;
syn[16].g = 0.5703;
syn[17].g = 0.5786;
syn[18].g = 0.5855;
syn[19].g = 0.5913;
syn[20].g = 0.5960;
syn[21].g = 0.6069;
syn[22].g = 0.6069;
syn[23].g = 0.5897;
syn[24].g = 0.5703;
syn[25].g = 0.5471;
syn[26].g = 0.5214;
syn[27].g = 0.4945;
syn[28].g = 0.4669;
syn[29].g = 0.4394;
syn[30].g = 0.4123;
syn[31].g = 0.3859;
syn[32].g = 0.3604;
syn[33].g = 0.3359;
syn[34].g = 0.3125;
syn[35].g = 0.2904;
syn[36].g = 0.2694;
syn[37].g = 0.2502;
syn[38].g = 0.1682;
syn[39].g = 0.1112;
syn[40].g = 0.07256;
syn[41].g = 0.04692;
syn[42].g = 0.03012;
syn[43].g = 0.01922;
syn[44].g = 0.01221;
syn[45].g = 7.73e-3;
syn[46].g = 4.87e-3;
syn[47].g = 3.06e-3;
syn[48].g = 1.92e-3;
syn[49].g = 1.20e-3;
syn[50].g = 7.52e-4;
syn[51].g = 4.69e-4;
syn[52].g = 2.92e-4;
syn[53].g = 1.86e-4;
x_min = 100.0;
for (i_syn = 1; i_syn <= 53; i_syn++)
{
x_diff = fabs(x - syn[i_syn].x);
if (x_diff < x_min)
{
x_min = x_diff;
i_syn_min = i_syn;
}
}
intensity = syn[i_syn_min].f;
if (x < 0.01)
intensity = 2.1495 * pow(x, 1./3.);
if (x > 10.)
intensity = 1.2533 * exp(-x) * pow(x, 0.5);
return (intensity);
// return (syn[i_syn_min].f);
}
void synchrotron_spectrum (int k, int i_spec)
{
int integrate_true;
double nu_crit_corr;
double x_spec[402][402];
double A_spec;
int ii, jj;
nu_crit_corr = pow(B0 / B_field[i_spec], 1.0);
for (ii=0; ii <= nu_channel+1; ii++)
{
for (jj=0; jj <= nu_channel+1; jj++)
{
x_spec[ii][jj] = cr[i_spec][jj].nu * nu_crit_corr / cr[i_spec][ii].nu;
}
}
for (jj=0; jj <= nu_channel; jj++)
{
i_syn_spec[k][jj] = 0.0;
integrate_true = 1;
for (ii=0; ii <= nu_channel; ii++)
{
A_spec = x_spec[ii][jj] * pow(cr[i_spec][ii].E, 2.0) / nu_crit_corr;
/* if (cr[i_spec][ii].N < 0.0) */
/* integrate_true = -1; */
if ( (x_spec[ii][jj] < 100.0) && (x_spec[ii][jj] > 0.001) )
{
if (cr[i_spec][ii].integrate_true == 1)
i_syn_spec[k][jj] = i_syn_spec[k][jj] + sqrt(A_spec) * cr[i_spec][ii].N *synchrotron(x_spec[ii][jj]) * pow(nu_crit_corr * cr[i_spec][jj].nu, -0.5) * pow(nu_crit_corr * cr[i_spec][ii].nu, -0.5) * (cr[i_spec][ii+1].nu - cr[i_spec][ii].nu);
else
i_syn_spec[k][jj] = i_syn_spec[k][jj];
/* if (k==6) */
/* printf("z=%g, jj=%i, N=%g, x=%g, syn=%g, delta_int=%g, int_nu=%g, int_true=%i\n", cr[i_spec][jj].z/kpc, jj, cr[i_spec][ii].N, x_spec[ii][jj], synchrotron(x_spec[ii][jj]), cr[i_spec][ii].N * synchrotron(x_spec[ii][jj]), i_syn_spec[k][jj], cr[i_spec][ii].integrate_true); */
}
}
}
}
double synchrotron_intensity (double nu, int ii)
{
double intensity_nu;
double x[402];
double nu_crit_corr;
double A;
int jj;
/* B_field[0]?*/
A = (nu / 1.0e9) / (0.0168 * B_field[1] / 1.0e-10);
for (jj=0; jj <= nu_channel+1; jj++)
{
nu_crit_corr = pow(B0 / B_field[ii], 1.0);
x[jj] = nu * nu_crit_corr / cr[ii][jj].nu;
}
intensity_nu = 0.0;
for (jj=0; jj <= nu_channel; jj++)
{
nu_crit_corr = pow(B0 / B_field[ii], 1.0);
A = x[jj] * pow(cr[ii][jj].E, 2.0) / nu_crit_corr;
/* if ((x[jj] < 10.0) && (x[jj] > 0.001) && cr[ii][jj].N < 0) */
/* integrate_true = -1; */
if ( (x[jj] < 100.0) && (x[jj] > 0.001) )
{
if (cr[ii][jj].integrate_true == 1)
intensity_nu = intensity_nu + sqrt(A) * cr[ii][jj].N * synchrotron(x[jj]) * pow(nu_crit_corr * nu, -0.5) * pow(nu_crit_corr * cr[1][jj].nu, -0.5) * (cr[ii][jj+1].nu - cr[ii][jj].nu);
else
intensity_nu = intensity_nu;
/* if (ii==350) */
/* printf("Hier,\n"); */
/* if (ii==265) */
/* printf("z=%g, jj=%i, N=%g, x=%g, syn=%g, delta_int=%g, int_nu=%g, int_true=%i\n", cr[ii][jj].z/kpc, jj, cr[ii][jj].N, x[jj], synchrotron(x[jj]), cr[ii][jj].N * synchrotron(x[jj]), intensity_nu, cr[ii][jj].integrate_true); */
}
}
return intensity_nu;
}
/**********************************************************************/
double convolve_intensity_nu1 (int ii_ref)
{
double int_conv, sigma_beam;
int ii;
sigma_beam = 0.425 * FWHM_effective_beam * kpc;
int_conv = 0.0;
if (sigma_beam != 0.0)
{
for (ii=0; ii <= grid_size; ii++)
{
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu1[ii] * exp ( -pow ( cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
if (ii != 0 )
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu1[ii] * exp ( -pow ( -cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
}
}
else
int_conv = intensity_nu1[ii_ref];
return (int_conv);
}
/**********************************************************************/
double convolve_intensity_nu2 (int ii_ref)
{
double int_conv, sigma_beam;
int ii;
sigma_beam = 0.425 * FWHM_effective_beam * kpc;
int_conv = 0.0;
if (sigma_beam != 0.0)
{
for (ii=0; ii <= grid_size; ii++)
{
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu2[ii] * exp ( -pow ( cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
if (ii != 0 )
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu2[ii] * exp ( -pow ( -cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
}
}
else
int_conv = intensity_nu2[ii_ref];
return (int_conv);
}
/**********************************************************************/
double convolve_intensity_nu3 (int ii_ref)
{
double int_conv, sigma_beam;
int ii;
sigma_beam = 0.425 * FWHM_effective_beam * kpc;
int_conv = 0.0;
if (sigma_beam != 0.0)
{
for (ii=0; ii <= grid_size; ii++)
{
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu3[ii] * exp ( -pow ( cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
if (ii != 0 )
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu3[ii] * exp ( -pow ( -cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
}
}
else
int_conv = intensity_nu3[ii_ref];
return (int_conv);
}
/**********************************************************************/
double convolve_intensity_nu4 (int ii_ref)
{
double int_conv, sigma_beam;
int ii;
sigma_beam = 0.425 * FWHM_effective_beam * kpc;
int_conv = 0.0;
if (sigma_beam != 0.0)
{
for (ii=0; ii <= grid_size; ii++)
{
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu4[ii] * exp ( -pow ( cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
if (ii != 0 )
int_conv = int_conv + V0 / v_z[ii] *
intensity_nu4[ii] * exp ( -pow ( -cr[ii][0].z - cr[ii_ref][0].z, 2.0 ) /
( 2.0 * sigma_beam * sigma_beam ) )
/ sqrt(2.0 * pi * sigma_beam * sigma_beam)* cr[ii][0].delta_z;
}
}
else
int_conv = intensity_nu4[ii_ref];
return (int_conv);
}
/**********************************************************************/