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/*
Copyright (c) 2012-2016, 2018-2019 Frederic Vincent, Odele Straub, Thibaut Paumard
This file is part of Gyoto.
Gyoto is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
Gyoto is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with Gyoto. If not, see <http://www.gnu.org/licenses/>.
*/
#include "GyotoUtils.h"
#include "GyotoPolishDoughnut.h"
#include "GyotoProperty.h"
#include "GyotoPhoton.h"
#include "GyotoFactoryMessenger.h"
#include "GyotoDefs.h"
#include <iostream>
#include <cmath>
#include <string>
#include <cstdlib>
#include <sstream>
using namespace std;
using namespace Gyoto;
using namespace Gyoto::Astrobj;
GYOTO_PROPERTY_START(PolishDoughnut)
GYOTO_PROPERTY_DOUBLE(PolishDoughnut, Lambda, lambda)
GYOTO_PROPERTY_VECTOR_DOUBLE(PolishDoughnut, AngMomRinner, angmomrinner)
GYOTO_PROPERTY_DOUBLE_UNIT(PolishDoughnut, CentralEnthalpyPerUnitVolume, centralEnthalpyPerUnitVolume)
GYOTO_PROPERTY_DOUBLE(PolishDoughnut,
CentralTemperature, centralTemp)
GYOTO_PROPERTY_DOUBLE(PolishDoughnut, Beta, beta,
"one parametrization of the magnetic to particle "
"energy density ratio; this is not the standard "
"plasma beta")
GYOTO_PROPERTY_DOUBLE(PolishDoughnut, MagnetizationParameter,
magnetizationParameter,
"another parametrization of the magnetic to particle "
"energy density ratio; this is the standard "
"magnetization parameter; this is not the standard "
"plasma beta")
GYOTO_PROPERTY_SIZE_T(PolishDoughnut,
SpectralOversampling, spectralOversampling)
GYOTO_PROPERTY_BOOL(PolishDoughnut,
AngleAveraged, NoAngleAveraged,
angleAveraged)
GYOTO_PROPERTY_BOOL(PolishDoughnut,
Bremsstrahlung, NoBremsstrahlung,
bremsstrahlung)
GYOTO_PROPERTY_VECTOR_DOUBLE(PolishDoughnut,
NonThermalDeltaExpo, nonThermalDeltaExpo)
// Since adafparams(vector) sets adaf_ to true, ADAF must come after
// ADAFParameters
GYOTO_PROPERTY_VECTOR_DOUBLE(PolishDoughnut, ADAFParameters, adafparams)
GYOTO_PROPERTY_BOOL(PolishDoughnut, ADAF, NonADAF, adaf)
GYOTO_PROPERTY_BOOL(PolishDoughnut,
ChangeCusp, KeepCusp, changeCusp)
GYOTO_PROPERTY_END(PolishDoughnut, Standard::properties)
#ifdef GYOTO_USE_XERCES
/*
Either lambda_ or rintorus_ is defined. Filter out the other one
when writing properties to XML.
*/
void PolishDoughnut::fillProperty(Gyoto::FactoryMessenger *fmp, Property const &p) const {
if ((p.name == "Lambda" && !rochelobefilling_) ||
(p.name == "AngMomRinner" && !defangmomrinner_))
return; // do nothing
else
Standard::fillProperty(fmp, p);
}
#endif
#define CST_POLY_INDEX 1.5//polytropic index n (gamma=1+1/n=5/3)
#define CST_POLY_INDEX_M1 0.666666666666666666666666666666666666666667
#define CST_HYDRO_FRAC 0.75//hydrogen fraction
#define CST_Z_1 1.//atomic number
#define CST_Z_2 2.
#define CST_MU_ION 1.2307692307692308375521861 //(4./(1. + 3. * CST_HYDRO_FRAC))
#define CST_MU_ELEC 1.1428571428571427937015414 //(2./(1. + CST_HYDRO_FRAC))
#define w_tol 1e-9
#define DEFAULT_L0 10.
#define DEFAULT_RIN 10.
PolishDoughnut::PolishDoughnut() :
Standard("PolishDoughnut"),
l0_(DEFAULT_L0),
lambda_(0.5),
W_surface_(0.),
W_centre_(0.),
r_cusp_(0.),
r_centre_(0.),
r_torusouter_(0.),
//DeltaWm1_(),
central_enthalpy_cgs_(1.),
central_temperature_(1e10),
beta_(0.),
magnetizationParameter_(-1.),
spectral_oversampling_(10),
angle_averaged_(0),
deltaPL_(0.),
adaf_(0),
ADAFtemperature_(0.),
ADAFdensity_(0.),
changecusp_(0),
rochelobefilling_(0),
defangmomrinner_(0),
rintorus_(DEFAULT_RIN),
intersection(this)
{
#ifdef GYOTO_DEBUG_ENABLED
GYOTO_DEBUG << endl;
#endif
critical_value_=0.; safety_value_=.1; //rmax_=25.;
spectrumBrems_ = new Spectrum::ThermalBremsstrahlung();
spectrumSynch_ = new Spectrum::ThermalSynchrotron();
spectrumPLSynch_ = new Spectrum::PowerLawSynchrotron();
}
PolishDoughnut::PolishDoughnut(const PolishDoughnut& orig) :
Standard(orig),
spectrumBrems_(NULL),
spectrumSynch_(NULL),
spectrumPLSynch_(NULL),
l0_(orig.l0_),
lambda_(orig.lambda_),
W_surface_(orig.W_surface_),
W_centre_(orig.W_centre_),
r_cusp_(orig.r_cusp_),
r_centre_(orig.r_centre_),
r_torusouter_(orig.r_torusouter_),
DeltaWm1_(orig.DeltaWm1_),
central_enthalpy_cgs_(orig.central_enthalpy_cgs_),
central_temperature_(orig.central_temperature_),
beta_(orig.beta_),
magnetizationParameter_(orig.magnetizationParameter_),
spectral_oversampling_(orig.spectral_oversampling_),
angle_averaged_(orig.angle_averaged_),
deltaPL_(orig.deltaPL_),
adaf_(orig.adaf_),
ADAFtemperature_(orig.ADAFtemperature_),
ADAFdensity_(orig.ADAFdensity_),
changecusp_(orig.changecusp_),
rochelobefilling_(orig.rochelobefilling_),
defangmomrinner_(orig.defangmomrinner_),
rintorus_(orig.rintorus_),
intersection(orig.intersection)
{
intersection.papa=this;
if (gg_) gg_ -> hook(this);
if (orig.spectrumBrems_()) spectrumBrems_=orig.spectrumBrems_->clone();
if (orig.spectrumSynch_()) spectrumSynch_=orig.spectrumSynch_->clone();
if (orig.spectrumPLSynch_()) spectrumPLSynch_=orig.spectrumPLSynch_->clone();
}
PolishDoughnut* PolishDoughnut::clone() const
{return new PolishDoughnut(*this);}
bool PolishDoughnut::isThreadSafe() const {
return Standard::isThreadSafe()
&& (!spectrumBrems_ || spectrumBrems_->isThreadSafe())
&& (!spectrumSynch_ || spectrumSynch_->isThreadSafe())
&& (!spectrumPLSynch_ || spectrumPLSynch_->isThreadSafe());
}
double PolishDoughnut::getL0() const { return l0_; }
//void PolishDoughnut::setL0(double l0) { l0_ = l0; }
double PolishDoughnut::getWsurface() const { return W_surface_; }
double PolishDoughnut::getWcentre() const { return W_centre_; }
double PolishDoughnut::getRcusp() const { return r_cusp_; }
double PolishDoughnut::getRcentre() const { return r_centre_; }
double PolishDoughnut::lambda() const {
if (!rochelobefilling_) {
if (defangmomrinner_)
GYOTO_ERROR("Lambda is not set because AngMomRinner is.");
else
GYOTO_ERROR("Lambda is not set yet.");
}
return lambda_;
}
void PolishDoughnut::lambda(double lam) {
rochelobefilling_=1; // if here, the torus fills its Roche lobe
if (defangmomrinner_){
GYOTO_WARNING << "Setting Lambda overrides AngMomRinner previously set\n";
defangmomrinner_=0;
}
if (!gg_) GYOTO_ERROR("Metric but be set before lambda in PolishDoughnut");
//Computing marginally stable and marginally bound radii:
lambda_=lam;
double rms = gg_->getRms();
double rmb = gg_->getRmb();
// marginally stable & marginally bound keplerian angular momentum
// (Polish doughnut l is rescaled)
double l_ms = gg_->getSpecificAngularMomentum(rms);
double l_mb = gg_->getSpecificAngularMomentum(rmb);
l0_ = lambda_*(l_mb-l_ms)+l_ms ;//torus angular momentum
//Computing the potential at the photon position:
double r1_min = rmb ;
double r1_max = rms ;
double r2_min = rms ;
double r2_max = 1000. ;
r_cusp_ = intersection.ridders(r1_min, r1_max) ;
rintorus_ = r_cusp_;
r_centre_ = intersection.ridders(r2_min, r2_max) ;
double poss[4]={0.,r_cusp_,M_PI/2.,0.};
double posc[4]={0.,r_centre_,M_PI/2.,0.};
W_surface_ = gg_->getPotential(poss,l0_);
W_centre_ = gg_->getPotential(posc,l0_);
DeltaWm1_ = 1./(W_centre_ - W_surface_);
if (changecusp_){
/*
CUSP PROBLEM
For both large spin and large lambda, the potential line w=0
can leak out of the tube r=rcusp in the funnel zone (i.e. in
the zone which is not taken into account for a doughnut, and
which should be considered as a target for photons). Thus, the
surface of the torus can be badly defined for big a and lambda.
Using mma, I checked that this problem only arises for a>0.8
and lambda>0.3. In this range, rcusp is multiplied by 1.25
to encompass the w=0 line in the funnel, and to be sure not to
ray-trace any part of he funnel. This is a crude solution: it
allows to get rid of the funnel, but it will also remove a small
part of the proper torus for a>~0.8 and lambda>~0.3. However
this "forgotten part of the torus" being small, I do not think
this should be a serious problem. Moreover, this removal of
part of the torus only affects very slender tori (typically
few r_g wide).
But it would be nice to solve this problem in a more elegant way...
*/
r_cusp_*=1.25;
}
// Find torus outer radius
double r3_min=r_centre_, r3_max=5000.;
if (lambda_>0.99){
GYOTO_ERROR("In PolishDoughnut: please use a value of"
" lambda < 0.99, or else the outer radius"
" finding algorithm may crash");
}
outerradius_t outerradius;
outerradius.papa = this;
r_torusouter_ = outerradius.ridders(r3_min,r3_max);
GYOTO_IF_DEBUG;
GYOTO_DEBUG_EXPR(r_cusp_);
GYOTO_DEBUG_EXPR(r_torusouter_);
GYOTO_ENDIF_DEBUG;
if (r_torusouter_!=r_torusouter_ || r_torusouter_==r_torusouter_+1)
GYOTO_ERROR("In PolishDoughnut::lambda(): bad r_torusouter_");
GYOTO_IF_DEBUG
GYOTO_DEBUG_EXPR(lambda_);
GYOTO_DEBUG_EXPR(l0_);
GYOTO_DEBUG_EXPR(r_cusp_);
GYOTO_DEBUG_EXPR(r_centre_);
GYOTO_DEBUG_EXPR(W_surface_);
GYOTO_DEBUG_EXPR(W_centre_);
GYOTO_ENDIF_DEBUG
}
void PolishDoughnut::angmomrinner(std::vector<double> const &v) {
defangmomrinner_=1;
if (rochelobefilling_){
GYOTO_WARNING << "Setting AngMomRinner overrides Lambda previously set\n";
rochelobefilling_=0;
}
if (v.size() != 2)
GYOTO_ERROR("Only 2 arguments to define l0 and rin");
l0_ = v[0];
rintorus_ = v[1];
r_cusp_=rintorus_; // NB: the cusp is most probably not at this radius; however we need to define it to avoid having cases where operator() returns "inside torus" when the photon actually is in the funnel at r<r_cusp_. Defining r_cusp_ that way is okay, we won't miss any part of the real torus.
//cout << "l0,rin= " << l0_ << " " << rintorus_ << endl;
double posin[4]={0.,rintorus_,M_PI/2.,0.};
W_surface_ = gg_->getPotential(posin,l0_);
double rmin=rintorus_, rmax = 1000.;
//cout << "rmin max= " << rmin << " " << rmax << endl;
r_centre_ = intersection.ridders(rmin, rmax) ;
//cout << "rmin center max= " << rmin << " " << r_centre_ << " " << rmax << endl;
if (r_centre_ < rmin or r_centre_ > rmax)
GYOTO_ERROR("In PolishDoughnut::angmomrinner: bad r_centre_");
double posc[4]={0.,r_centre_,M_PI/2.,0.};
W_centre_ = gg_->getPotential(posc,l0_);
DeltaWm1_ = 1./(W_centre_ - W_surface_);
//cout << "Ws Wc rc= " << W_surface_ << " " << W_centre_ << " " << r_centre_ << endl;
outerradius_t outerradius;
outerradius.papa = this;
rmin=r_centre_;
r_torusouter_ = outerradius.ridders(rmin,rmax);
//cout << "Torus rinner, rcen, router= " << rintorus_ << " " << r_centre_ << " " << r_torusouter_ << endl;
GYOTO_IF_DEBUG;
GYOTO_DEBUG_EXPR(l0_);
GYOTO_DEBUG_EXPR(r_centre_);
GYOTO_DEBUG_EXPR(rintorus_);
GYOTO_DEBUG_EXPR(W_surface_);
GYOTO_DEBUG_EXPR(W_centre_);
GYOTO_ENDIF_DEBUG
}
std::vector<double> PolishDoughnut::angmomrinner() const {
if (!defangmomrinner_) {
if (rochelobefilling_)
GYOTO_ERROR("AngMomRinner is not set because Lambda has been set.");
else
GYOTO_ERROR("AngMomRinner is not set yet.");
}
std::vector<double> v (2, 0.);
v[0]=l0_; v[1]=rintorus_;
return v;
}
double PolishDoughnut::centralEnthalpyPerUnitVolume() const
{
// Converts internal cgs central enthalpy to SI
double dens=central_enthalpy_cgs_;
# ifdef HAVE_UDUNITS
dens = Units::Converter("erg/cm3", "J/m3")(dens);
# else
GYOTO_WARNING << "Units ignored, please recompile Gyoto with --with-udunits"
<< endl ;
# endif
return dens;}
double PolishDoughnut::centralEnthalpyPerUnitVolume(string const &unit) const
{
double dens = centralEnthalpyPerUnitVolume();
if (unit != "") {
# ifdef HAVE_UDUNITS
dens = Units::Converter("J/m3", unit)(dens);
# else
GYOTO_WARNING << "Units ignored, please recompile Gyoto with --with-udunits"
<< endl ;
# endif
}
return dens;
}
void PolishDoughnut::centralEnthalpyPerUnitVolume(double dens) {
# ifdef HAVE_UDUNITS
dens = Units::Converter("J/m3", "erg/cm3")(dens);
# else
GYOTO_WARNING << "Units ignored, please recompile Gyoto with --with-udunits"
<< endl ;
# endif
central_enthalpy_cgs_=dens;
}
void PolishDoughnut::centralEnthalpyPerUnitVolume(double dens,
string const &unit) {
if (unit != "") {
# ifdef HAVE_UDUNITS
dens = Units::Converter(unit, "J/m3")(dens);
# else
GYOTO_WARNING << "Units ignored, please recompile Gyoto with --with-udunits"
<< endl ;
# endif
}
centralEnthalpyPerUnitVolume(dens);
}
double PolishDoughnut::centralTemp() const
{return central_temperature_;}
void PolishDoughnut::centralTemp(double val)
{central_temperature_=val;}
double PolishDoughnut::beta() const { return beta_; }
void PolishDoughnut::beta(double b) { beta_ = b; }
void PolishDoughnut::magnetizationParameter(double rr) {
magnetizationParameter_=rr;}
double PolishDoughnut::magnetizationParameter()const{
return magnetizationParameter_;}
size_t PolishDoughnut::spectralOversampling() const
{ return spectral_oversampling_; }
void PolishDoughnut::spectralOversampling(size_t val)
{ spectral_oversampling_ = val; }
bool PolishDoughnut::changeCusp() const {return changecusp_;}
void PolishDoughnut::changeCusp(bool t) {changecusp_=t;}
bool PolishDoughnut::angleAveraged() const
{return angle_averaged_;}
void PolishDoughnut::angleAveraged(bool ang)
{
angle_averaged_=ang;
spectrumSynch_->angle_averaged(ang);
spectrumPLSynch_->angle_averaged(ang);
}
bool PolishDoughnut::bremsstrahlung() const
{return bremsstrahlung_;}
void PolishDoughnut::bremsstrahlung(bool brems)
{bremsstrahlung_=brems;}
void PolishDoughnut::nonThermalDeltaExpo(std::vector<double> const &v) {
if (v.size() != 2)
GYOTO_ERROR("nonThermalDeltaExpo must have exactly 2 elements");
deltaPL_= v[0];
double expoPL = v[1];
spectrumPLSynch_->PLindex(expoPL);
}
std::vector<double> PolishDoughnut::nonThermalDeltaExpo() const {
std::vector<double> v (2, deltaPL_);
v[1]=spectrumPLSynch_->PLindex();
return v;
}
void PolishDoughnut::adafparams(std::vector<double> const &v) {
if (v.size() != 2)
GYOTO_ERROR("ADAF must have exactly 2 elements");
adaf(true);
ADAFtemperature_ = v[0];
ADAFdensity_ = v[1];
}
std::vector<double> PolishDoughnut::adafparams() const {
std::vector<double> v (2, ADAFtemperature_);
v[1]=ADAFdensity_;
return v;
}
void PolishDoughnut::adaf(bool t) {adaf_=t;}
bool PolishDoughnut::adaf() const {return adaf_;}
void PolishDoughnut::setParameter(Property const &p,
string const & name,
string const & content,
string const & unit) {
// Override default behaviour to support obsolete format where
// ADAFParameters was in ADAF
if (name=="ADAF") {
std::vector<double> v=FactoryMessenger::parseArray(content);
if (v.size()) adafparams(v);
return ;
}
Standard::setParameter(p, name, content, unit);
}
PolishDoughnut::~PolishDoughnut() {
GYOTO_DEBUG << "PolishDoughnut Destruction" << endl;
if (gg_) gg_ -> unhook(this);
}
void PolishDoughnut::metric(Gyoto::SmartPointer<Gyoto::Metric::Generic> met)
{
if (gg_) gg_ -> unhook(this);
Standard::metric(met);
if (gg_) gg_ -> hook(this);
GYOTO_DEBUG << "Metric set, calling lambda\n";
// Initialize other members only if lambda(val) or
// angmomrinner(vect) has been called already. Mutually exclusive.
if (defangmomrinner_) angmomrinner(angmomrinner());
else if (rochelobefilling_) lambda(lambda());
GYOTO_DEBUG << "done\n";
}
void PolishDoughnut::tell(Hook::Teller * met) {
if (met == gg_) {
// Initialize other members only if lambda(val) or
// angmomrinner(vect) has been called already. Mutually exclusive.
if (defangmomrinner_) angmomrinner(angmomrinner());
else if (rochelobefilling_) lambda(lambda());
}
else GYOTO_ERROR("BUG: PolishDoughnut::tell(Hook::Teller * met) called with"
"wrong metric");
}
int PolishDoughnut::Impact(Photon *ph, size_t index,
Astrobj::Properties *data) {
if (beta_==1.) GYOTO_ERROR("Please set beta to != 1.");
if (adaf_){
// This is the Impact function for the Yuan+, Broderick+
// ADAF model, this is actually no longer a Polish doughnut
// -> only for comparison
//cout << "ICI1" << endl;
double coord[8];
ph->getCoord(index, coord);
double rr = coord[1], th = coord[2];
// The outer boundary of the ADAF is simply RMax_ in xml
// Setting an inner boundary at the ISCO (in projection)
if (rr*sin(th) < gg_->getRms()) return 0;
// This allows to reject the points close to the axis
// such that the cylindrical radius is smaller than Sch ISCO ;
// there, the Keplerian velocity is not defined
double p1[8], p2[8];
ph->getCoord(index, p1);
ph->getCoord(index+1, p2);
double t1 = p1[0], t2=p2[0];
double cph[8] = { t2 };
ph -> getCoord(&t2, 1, cph+1, cph+2, cph+3,
cph+4, cph+5, cph+6, cph+7);
double delta=giveDelta(cph);
double coh[8];
while (cph[0]>t1){
ph -> getCoord(cph, 1, cph+1, cph+2, cph+3,
cph+4, cph+5, cph+6, cph+7);
for (int ii=0;ii<4;ii++)
coh[ii] = cph[ii];
getVelocity(coh, coh+4);
processHitQuantities(ph, cph, coh, delta, data);
cph[0]-=delta;
}
return 1;
}
return Standard::Impact(ph, index, data);
}
double PolishDoughnut::operator()(double const coord[4]) {
// w1 = ((potential(r1, theta1, aa) - W_surface_)
// /(W_centre_ - W_surface_));
//
// w1 < 0. outside polishdoughnut, anything inside funnel, 0<w<1
// inside doughnut.
//
// so: operator()() < 0. <=> inside PolishDoughnut.
double pos[4];
for (int ii=0;ii<4;ii++) pos[ii]=coord[ii];
double tmp = W_surface_ - gg_->getPotential(pos,l0_);
double rproj = coord[1] * sin(coord[2]);
if (rproj<r_cusp_) {
tmp = fabs(tmp)+(r_cusp_-rproj);
}
return tmp;
}
void PolishDoughnut::getVelocity(double const pos[4], double vel[4])
{
if (adaf_) {
// This will return the circular velocity at the
// radius projected on the equat plane, or it's Keplerian approximation
return gg_->circularVelocity(pos,vel,1);
}
double gtt=gg_->gmunu(pos,0,0);
double gtph=gg_->gmunu(pos,0,3);
double gphph=gg_->gmunu(pos,3,3);
double Omega=-(l0_*gtt+gtph)/(l0_*gtph+gphph);
double ut2=-1./(gtt+2.*gtph*Omega+gphph*Omega*Omega);
if (ut2 < 0.) {
stringstream ss;
ss << "PolishDoughnut::getVelocity(pos=[";
for (int i=0; i<3; ++i) ss << pos[i] << ", ";
ss << pos[3] << "]): ut^2 is negative.";
GYOTO_ERROR(ss.str());
}
vel[0] = sqrt(ut2);
vel[1] = vel[2] = 0.;
vel[3] = Omega*sqrt(ut2);
}
void PolishDoughnut::integrateEmission
(double * I, double * boundaries,
size_t * chaninds, size_t nbnu,
double dsem, double *cph, double *co) const
{
// The original channels may or may not be contiguous. We split
// each original channels into spectral_oversampling_ subchannels.
// All we know is that each chunk of spectral_oversampling_
// subchannels are contiguous. Don't try to recover contiguousness
// in the original channels, it's too hard for now.
double som1=1./double(spectral_oversampling_);
size_t onbnu=nbnu*spectral_oversampling_; // number of subchannels
size_t onbb = onbnu+nbnu; // number of subchannel boundaries : most
// are used twice as subchannels are
// contiguous in each channel.
double * Inu = new double[onbb];
double * bo = new double[onbb];
size_t * ii = new size_t[2*onbnu]; // two indices for each subchannel
double dnu;
size_t k=0;
for (size_t i=0; i<nbnu; ++i) {
dnu=(boundaries[chaninds[2*i+1]]-boundaries[chaninds[2*i]])*som1;
for (size_t j=0; j<spectral_oversampling_; ++j) {
k=i*spectral_oversampling_+j;
ii[2*k]=k+i;
ii[2*k+1]=k+i+1;
bo[ii[2*k]]=boundaries[chaninds[2*i]]+double(j)*dnu;
}
bo[ii[2*(i*spectral_oversampling_+spectral_oversampling_-1)+1]]
=boundaries[chaninds[2*i+1]];
}
emission(Inu, bo, onbb, dsem, cph, co);
for (size_t i=0; i<nbnu; ++i) {
I[i]=0.;
for (size_t j=0; j<spectral_oversampling_; ++j) {
k=i*spectral_oversampling_+j;
I[i]+=(Inu[ii[2*k+1]]+Inu[ii[2*k]])*0.5*fabs(bo[ii[2*k+1]]-bo[ii[2*k]]);
}
}
delete [] Inu;
delete [] bo;
delete [] ii;
}
double PolishDoughnut::transmission(double nuem, double dsem, double coord[8]) const {
# if GYOTO_DEBUG_ENABLED
GYOTO_DEBUG << endl;
# endif
double Inu, Taunu;
radiativeQ(&Inu, &Taunu, &nuem, 1, dsem, coord, coord);
return Taunu;
}
double PolishDoughnut::emission(double nuem, double dsem, double *cph, double *co) const
{
# if GYOTO_DEBUG_ENABLED
GYOTO_DEBUG << endl;
# endif
double Inu, Taunu;
radiativeQ(&Inu, &Taunu, &nuem, 1, dsem, cph, co);
return Inu;
}
void PolishDoughnut::emission(double * Inu, double * nuem , size_t nbnu,
double dsem, double *cph, double *co) const
{
# if GYOTO_DEBUG_ENABLED
GYOTO_DEBUG << endl;
# endif
double * Taunu = new double[nbnu];
radiativeQ(Inu, Taunu, nuem, nbnu, dsem, cph, co);
delete [] Taunu;
}
void PolishDoughnut::radiativeQ(double Inu[], // output
double Taunu[], // output
double nu_ems[], size_t nbnu, // input
double dsem,
double coord_ph[8],
double coord_obj[8]) const {
# if GYOTO_DEBUG_ENABLED
GYOTO_DEBUG << endl;
# endif
// This function computes the emission and transmission
// for the Komissarov model, with both thermal and
// non-thermal electron populations, with proper emission
// and absorption.
/* COMPUTING PHYS QUANTITIES */
double rr = coord_ph[1], theta = coord_ph[2];//NB: rr is units of GM/c^2
double Msgr = gg_->mass()*1e3; // Gyoto speaks in SI --> here cgs
double T_electron=0., number_density=0.,
bnorm = 0., theta_mag=0.;
if (adaf_){
if (!angle_averaged_){
GYOTO_ERROR("In PolishDoughnut: ADAF should be called"
" only with angle averaging");
}
double zz = rr * fabs(cos(theta)), rcyl = rr * sin(theta);
// fabs in zz: it is a distance, not an altitude
if (zz>10.*rcyl) {
// then exp factor will be
// vanishingly small, can lead to bad behavior
for (size_t ii=0; ii<nbnu; ++ii) {Inu[ii]=0.;Taunu[ii]=1.;}
return;
}
double T0 = ADAFtemperature_, nth0 = ADAFdensity_;
// From Broderick+11:
number_density = nth0*pow(rr/2.,-1.1)*exp(-zz*zz/(2.*rcyl*rcyl));
//cout << "ADAF ne= " << number_density << endl;
T_electron = T0*pow(rr/2.,-0.84);
double beta = 10., rS = 2.;
bnorm = sqrt(8.*M_PI*1./beta*number_density
*GYOTO_PROTON_MASS_CGS * GYOTO_C_CGS * GYOTO_C_CGS
* rS / (12. * rr));
//cout << "r z ne b= " << rr << " " << zz << " " << nth0*pow(rr/2.,-1.1) << " " << exp(-zz*zz/(2.*rcyl*rcyl)) << " " << number_density << " " << bnorm << endl;
}else{
double pos[4]={0.,rr,theta,0.};
double ww = (gg_->getPotential(pos, l0_) - W_surface_)*DeltaWm1_;
if (ww<=0.){//Will generate nan in computations w must be strictly positive
if (fabs(ww)<w_tol) {
if (ww!=0.) ww=fabs(ww);
else ww=w_tol;//can be the case if w at entrance in doughnut is exactly 0
}else{
GYOTO_ERROR("In PolishDoughnut::emission() w<0!");
}
}
double enthalpy_c=central_enthalpy_cgs_;
//cout << "enthalpy= " << enthalpy_c << endl;
double g_tt=gg_->gmunu(coord_ph,0,0),
g_pp=gg_->gmunu(coord_ph,3,3),
g_tp=gg_->gmunu(coord_ph,0,3),
LL=g_tp*g_tp-g_tt*g_pp;
double posc[4]={0.,r_centre_,M_PI/2.,0.};
double g_ttc=gg_->gmunu(posc,0,0),
g_ppc=gg_->gmunu(posc,3,3),
g_tpc=gg_->gmunu(posc,0,3),
LLc=g_tpc*g_tpc-g_ttc*g_ppc;
double kappa = 0., kappam=0.;
if (!angle_averaged_){
kappa= pow(enthalpy_c,-CST_POLY_INDEX_M1)*(W_centre_-W_surface_)
/((CST_POLY_INDEX+1)*(1+1./beta_));
kappam = pow(LLc,-CST_POLY_INDEX_M1)/beta_*kappa;
}else{
kappa = pow(enthalpy_c,-CST_POLY_INDEX_M1)*(W_centre_-W_surface_)
/(CST_POLY_INDEX+1);
}
double enthalpy = enthalpy_c*
pow(
ww*
(kappa+kappam*pow(LLc,CST_POLY_INDEX_M1))
/(kappa+kappam*pow(LL,CST_POLY_INDEX_M1))
,CST_POLY_INDEX
);
number_density = (enthalpy-kappa*pow(enthalpy,1.+CST_POLY_INDEX_M1))
/(GYOTO_C2_CGS*CST_MU_ELEC*GYOTO_ATOMIC_MASS_UNIT_CGS);
//cout << "komis ne= " << number_density << endl;
double number_density_central =
(enthalpy_c-kappa*pow(enthalpy_c,1.+CST_POLY_INDEX_M1))
/(GYOTO_C2_CGS*CST_MU_ELEC*GYOTO_ATOMIC_MASS_UNIT_CGS);
//cout << "central nb density torus= " << number_density_central << endl;
double magnetic_pressure = 0., fact_b=1.;
// pm = b^2/fact_b
if (!angle_averaged_){
magnetic_pressure = kappam*pow(LL,CST_POLY_INDEX_M1)
*pow(enthalpy,1.+CST_POLY_INDEX_M1);
fact_b = 8.*M_PI;
}else{
double gas_pressure = kappa*pow(enthalpy,1.+CST_POLY_INDEX_M1);
magnetic_pressure = gas_pressure/beta_;
fact_b = 24.*M_PI;
}
bnorm = sqrt(fact_b*magnetic_pressure);
// Redefining bnorm if magnetizationParameter_ is defined;
// this is for compatibility with Jet.C
if (magnetizationParameter_!=-1.){
bnorm = sqrt(4.*M_PI*magnetizationParameter_
*GYOTO_PROTON_MASS_CGS * GYOTO_C_CGS * GYOTO_C_CGS
*number_density);
}
//cout << "ne_c, ne, Bc, B= " << number_density_central << " " << number_density << " " << magnetizationParameter_ << " " << sqrt(4.*M_PI*magnetizationParameter_*GYOTO_PROTON_MASS_CGS * GYOTO_C_CGS * GYOTO_C_CGS * number_density_central) << " " << bnorm << endl;
//GYOTO_ERROR("test pol");
double bphi = bnorm/sqrt(g_pp+2*l0_*g_tp+l0_*l0_*g_tt);
//NB: in Komissarov it is 2 p_mag in the numerator, but he uses
// p_mag = B^2/2, and here we use the cgs p_mag = B^2/24pi
double b4vec[4]={bphi*l0_,0,0,bphi}; // B 4-vector in BL frame
// this vector is orthogonal to the fluid 4-vel, so it already
// leaves in the comoving rest space, no need to project
double vel[4]; // 4-velocity of emitter
const_cast<PolishDoughnut*>(this)->getVelocity(coord_obj, vel);
double photon_emframe[4]; // photon tgt vector projected in comoving frame
for (int ii=0;ii<4;ii++){
photon_emframe[ii]=coord_ph[ii+4]
+vel[ii]*gg_->ScalarProd(coord_ph,coord_ph+4,vel);
}
double lnorm = gg_->ScalarProd(coord_ph,photon_emframe,photon_emframe);
if (lnorm<=0.) GYOTO_ERROR("In PolishDoughnut::radiativeq"
" photon_emframe should be spacelike");
lnorm=sqrt(lnorm);
double lscalb = gg_->ScalarProd(coord_ph,photon_emframe,b4vec);
theta_mag = acos(lscalb/(lnorm*bnorm));
double sth = sin(theta_mag);//, cth = cos(theta_mag);
if (sth==0.) GYOTO_ERROR("In PolishDoughnut::radiativeq: "
"theta_mag is zero leads to undefined emission");
// doughnut's central temperature
double T0 = central_temperature_;
double kappabis = T0*pow(number_density_central,-CST_POLY_INDEX_M1);
T_electron = kappabis*pow(number_density,CST_POLY_INDEX_M1);
//cout << "Te= " << T_electron << endl;
} // End of the switch between doughnut and adaf
double Theta_elec = GYOTO_BOLTZMANN_CGS*T_electron
/(GYOTO_ELECTRON_MASS_CGS*GYOTO_C2_CGS);
double coef_ther=0.;
// coef_ther: see e.g. Ozel+2000, eq. 6
// here multiplied by Theta_elec coz there would be later
// a multiplication by Theta_elec anyway
double besselK3 = bessk(3, 1./Theta_elec),
besselK2 = bessk(2, 1./Theta_elec),
besselK1 = bessk1(1./Theta_elec);
if (Theta_elec > 0.01){
coef_ther = (3.*besselK3+besselK1)/(4.*besselK2)-1.;
}else if (Theta_elec > 1e-5){
// For small Theta_elec, Bessel functions become
// very small, so I use a linear fit, correct to 1%
// at theta_e=0.01, and even better for smaller values
coef_ther=1.5*Theta_elec;
}else{
// too low Theta_e leads to Bnu being nan...
for (size_t ii=0; ii<nbnu; ++ii) {Inu[ii]=0.;Taunu[ii]=1.;}
return;
}
double expoPL = spectrumPLSynch_->PLindex();
//cout << "expopl delta avg in PD= "<< expoPL << " " << deltaPL_ << " " << angle_averaged_ << endl;
double number_density_PL =
(expoPL-2.)/(expoPL-1.)*deltaPL_*coef_ther*number_density;
double nuc = GYOTO_ELEMENTARY_CHARGE_CGS*bnorm
/(2.*M_PI*GYOTO_ELECTRON_MASS_CGS*GYOTO_C_CGS);
if (bnorm < 1e-5){
// too low magnetic field leads to nan in emission
// synchrotron is anyway vanishingly small
for (size_t ii=0; ii<nbnu; ++ii) {Inu[ii]=0.;Taunu[ii]=1.;}
return;
}
//cout << "r, ne, npl, nuc= " << rr << " " << number_density << " " << number_density_PL << " " << nuc << endl;
//cout << "ne, delta, npl= " << number_density << " " << deltaPL_ << " " << number_density_PL << endl;
// Defining jnus, anus
double jnu_synch_ther[nbnu], anu_synch_ther[nbnu],
jnu_synch_PL[nbnu], anu_synch_PL[nbnu],
jnu_brems[nbnu], anu_brems[nbnu];
for (size_t ii=0; ii<nbnu; ++ii){
// Initializing to <0 value to create errors if not updated
// [ exp(-anu*ds) will explose ]
jnu_synch_ther[ii]=-1.;
anu_synch_ther[ii]=-1.;
}
// THERMAL SYNCHRO
//cout << "doughnut stuff= " << T_electron << " " << number_density << " " << theta_mag << " " << nuc << " " << bnorm << " " << besselK2 << endl;
spectrumSynch_->temperature(T_electron);
spectrumSynch_->numberdensityCGS(number_density);
spectrumSynch_->angle_B_pem(theta_mag);
spectrumSynch_->cyclotron_freq(nuc);
spectrumSynch_->besselK2(besselK2);
spectrumSynch_->radiativeQ(jnu_synch_ther,anu_synch_ther,
nu_ems,nbnu);
// NONTHERMAL SYNCHRO
if (deltaPL_!=0.){
for (size_t ii=0; ii<nbnu; ++ii){
// Initializing to <0 value to create errors if not updated
jnu_synch_PL[ii]=-1.;
anu_synch_PL[ii]=-1.;
}
spectrumPLSynch_->numberdensityCGS(number_density_PL);
spectrumPLSynch_->angle_B_pem(theta_mag);
spectrumPLSynch_->cyclotron_freq(nuc);
spectrumPLSynch_->radiativeQ(jnu_synch_PL,anu_synch_PL,
nu_ems,nbnu);
}
// THERMAL BREMSSTRAHLUNG
if (bremsstrahlung_){
for (size_t ii=0; ii<nbnu; ++ii){
// Initializing to <0 value to create errors if not updated
jnu_brems[ii]=-1.;
anu_brems[ii]=-1.;
}
spectrumBrems_->temperature(T_electron);
spectrumBrems_->numberdensityCGS(number_density);
spectrumBrems_->radiativeQ(jnu_brems,anu_brems,
nu_ems,nbnu);
}
// RETURNING TOTAL INTENSITY AND TRANSMISSION
for (size_t ii=0; ii<nbnu; ++ii){
double jnu_tot = jnu_synch_ther[ii],
anu_tot = anu_synch_ther[ii];
//cout << "at r,th= " << coord_ph[1] << " " << coord_ph[2] << endl;
//cout << "torus jnu anu synch ther= " << jnu_tot << " " << anu_tot << endl;
if (deltaPL_>0.){
jnu_tot += jnu_synch_PL[ii];
anu_tot += anu_synch_PL[ii];
}
if (bremsstrahlung_){
jnu_tot += jnu_brems[ii];
anu_tot += anu_brems[ii];
}
// expm1 is a precise implementation of exp(x)-1
double em1=std::expm1(-anu_tot * dsem * gg_->unitLength());
Taunu[ii] = em1+1.;
Inu[ii] = anu_tot == 0. ? jnu_tot * dsem * gg_->unitLength() :
-jnu_tot / anu_tot * em1;
if (Inu[ii]<0.)
GYOTO_ERROR("In PolishDoughnut::radiativeQ: Inu<0");
if (Inu[ii]!=Inu[ii] or Taunu[ii]!=Taunu[ii])
GYOTO_ERROR("In PolishDoughnut::radiativeQ: Inu or Taunu is nan");
if (Inu[ii]==Inu[ii]+1. or Taunu[ii]==Taunu[ii]+1.)
GYOTO_ERROR("In PolishDoughnut::radiativeQ: Inu or Taunu is infinite");
}
}
// Intersection of the constant angular momentum l0 with the Keplerian one
//double PolishDoughnut::intersection(double rr) const
PolishDoughnut::intersection_t::intersection_t(PolishDoughnut*parent)
: papa(parent)
{
}
double PolishDoughnut::intersection_t::operator()(double rr) const
{
double y = papa->gg_->getSpecificAngularMomentum(rr) - papa->l0_;
return y ; // y = 0 gives 2 intersections,
//the cusp and the central radius of the torus
}
double PolishDoughnut::outerradius_t::operator()(double rr) const
{
double theta = M_PI/2.;
double pos[4]={0.,rr,theta,0.};
double ww = (papa->gg_->getPotential(pos,papa->l0_) - papa->W_surface_)*papa->DeltaWm1_;
return ww;
}
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