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xray.c
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#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <assert.h>
#include "xray.h"
#include "Apec/Apec.h"
double tarray[ntmax]; //keV
double zarray[nzmax]; //Solar unit
double rarray[nrmax];
double lambda_table[ntmax][nrmax];
double tres, zres, eres, rres;
double keV2erg = 1.602177e-9;
void set_lambda_table ( double tarray[ntmax], double rarray[nrmax], double lambda_table[ntmax][nrmax] );
double int_lambda_table (double temp, double redshift, double tarray[ntmax], double rarray[nrmax], double lambda_table[ntmax][nrmax] );
void set_lambda_table ( double tarray[ntmax], double rarray[nrmax], double lambda_table[ntmax][nrmax] ){
/*
* Tabulate X-ray emission integrated in receiver's energy range of 0.5-2.0 keV
* for a range of temperature and abundance
* Original spectrum in units of photon*cm**3/s (into 4pi angle) in emitter's frame
* Converted to ergs*cm**3/s by multiplying E in keV and keV2erg unit conversion
*/
char filename[256];
int neff = 0;
double *energy = NULL;
double *effarea = NULL;
double temp, metal, redshift;
double ebin[nemax+1],spec[nemax];
double area[nemax];
double total_area;
double lambda;
double velocity,dem,density;
int ne, qtherm;
int ie, je, it, iz, ir, i, j;
init_apec();
printf("Number of bins in arrays of Energy, Temperature, Redshift = %d, %d, %d\n", nemax, ntmax, nrmax);
printf("Energy range = [%f,%f] keV\n", emin, emax);
printf("Temperature range = [%f,%f] keV\n", tmin, tmax);
printf("Redshift range = [%f,%f] \n", rmin, rmax);
eres = (emax-emin)/nemax;
printf("Energy resolution = %f [keV]\n", eres);
for (ie = 0; ie < nemax+1; ie++) {
ebin[ie] = emin + (double)ie*eres;
}
tres = (log10(tmax)-log10(tmin))/(ntmax);
for (it = 0; it < ntmax; it++) {
tarray[it] = pow(10.0,log10(tmin)+(double)it*tres);
//printf("%e %e %e\n", tarray[it], tmin, pow(10.0,log10(tmin)+(double)it*tres));
}
zres = (zlmax-zlmin)/(nzmax);
for (iz = 0; iz < nzmax; iz++) {
zarray[iz] = pow(10.0,zlmin+(double)iz*zres);
//printf("%e %e %e\n", zarray[iz], zlmin, pow(10.0,zlmin+(double)iz*zres));
}
rres = (log10(rmax)-log10(rmin))/(nrmax);
for (ir = 0; ir < nrmax; ir++) {
rarray[ir] = pow(10.0, log10(rmin)+(double)ir*rres);
//printf("%e %e %e\n", zarray[iz], zlmin, pow(10.0,zlmin+(double)iz*zres));
}
velocity = 0.0;
qtherm = 1;
dem = 1.0;
density = 1.0;
ne = nemax;
printf("Tabulating lambda... ");
for (i = 0; i < ntmax; i++) {
for (j = 0; j < nrmax; j++) {
for (ie = 0; ie < nemax; ie++) {
spec[ie] = 0.0;
}
temp = tarray[i];
//metal = zarray[j];
metal = ABUNDANCE;
redshift = rarray[j];
//spec is in units of photons cm^3/s/bin in receiver's frame
//note that the photon arrival rate is already redshifted
//ebin is already in receiver's frame
//still need to redshift photon energy when converting from photon counts to flux
apec ( ebin, ne, metal, temp, redshift, spec );
lambda = 0.0;
for (ie = 0; ie < nemax; ie++) {
//printf("%e", spec[ie]);
// photons -> ergs
lambda += spec[ie]*(0.5*(ebin[ie]+ebin[ie+1]))*keV2erg/(1.+redshift);
}
//printf("temp, z, lambda = %e %f %e\n", temp, redshift, lambda);
lambda_table[i][j] = lambda;
assert(lambda >= 0);
}
}
printf("done.\n");
return;
}
double int_lambda_table (double temp, double redshift, double tarray[ntmax], double rarray[nrmax], double lambda_table[ntmax][nrmax] ) {
int it,iz,ir;
double lt1, lt2, lr1, lr2, lz1, lz2, f11, f12, f21, f22;
double q1, q2;
double emiss = 0.0;
double ltemp, lredshift;
ltemp = log10(temp);
lredshift = log10(redshift);
//lmetal = log10(metal);
it = (int)((ltemp-log10(tmin))/tres);
//iz = (int)((lmetal-zlmin)/zres);
ir = (int)((lredshift-log10(rmin))/rres);
//if (iz < 0 ) {
//iz = 0;
//}
if (ir < 0 ) {
ir = 0;
}
if (it < 0 ) {
it = 0;
}
if (ir > nrmax -1) ir = nrmax - 1;
if (it > ntmax -1) ir = ntmax - 1;
if ( it >= 0 && it < ntmax-1 && ir >= 0 && ir < nrmax-1 ) {
//printf("%d %e %e %e\n",it,tarray[it],temp,tarray[it+1]);
//printf("%d %e %e %e\n",iz,zarray[iz],metal,zarray[iz+1]);
lt1 = log10(tarray[it]);
lt2 = log10(tarray[it+1]);
lr1 = log10(rarray[ir]);
lr2 = log10(rarray[ir+1]);
// bilinear interpolation
//
f11 = log10(lambda_table[it][ir]);
f12 = log10(lambda_table[it][ir+1]);
f21 = log10(lambda_table[it+1][ir]);
f22 = log10(lambda_table[it+1][ir+1]);
emiss = f11/((lt2-lt1)*(lr2-lr1))*((+lt2-ltemp)*(+lr2-lredshift))
+ f21/((lt2-lt1)*(lr2-lr1))*((-lt1+ltemp)*(+lr2-lredshift))
+ f12/((lt2-lt1)*(lr2-lr1))*((+lt2-ltemp)*(-lr1+lredshift))
+ f22/((lt2-lt1)*(lr2-lr1))*((-lt1+ltemp)*(-lr1+lredshift));
emiss = pow(10.0,emiss);
} else if (it == ntmax-1 && ir >= 0 && ir < nrmax-1) {
lr1 = log10(rarray[ir]);
lr2 = log10(rarray[ir+1]);
f11 = log10(lambda_table[it][ir]);
f12 = log10(lambda_table[it][ir+1]);
emiss = f11 + (f12-f11)/(lr2-lr1)*(lredshift-lr1);
emiss = pow(10.0,emiss);
} else if (it >= 0 && it < ntmax-1 && ir == nrmax-1) {
lt1 = log10(tarray[it]);
lt2 = log10(tarray[it+1]);
f11 = log10(lambda_table[it][ir]);
f21 = log10(lambda_table[it+1][ir]);
emiss = f11 + (f21-f11)/(lt2-lt1)*(ltemp-lt1);
emiss = pow(10.0,emiss);
} else if ( it == ntmax-1 && ir == nrmax-1 ) {
emiss = (lambda_table[it][ir]);
//emiss = pow(10.0,emiss);
}
//printf("%d %d %e %e %e %e\n", it, ir, tarray[it], rarray[ir], temp, redshift);
//printf("%d %d %e %e %e\n", it, ir, lambda_table[it][ir], lambda_table[it+1][ir+1], emiss);
//assert(emiss >= 0 && emiss < 1e-3);
if (emiss != emiss) emiss = 1.0e-70;
return emiss;
}