NetzerAngularDistribution Class Reference

#include <NetzerAngularDistribution.hpp>

Inheritance diagram for NetzerAngularDistribution:

Public Member Functions
double	generateInclinationCosine () const override
double	probabilityForInclinationCosine (double costheta) const override
Public Member Functions inherited from AxAngularDistribution
int	dimension () const override
Direction	generateDirection () const override
virtual double	generateInclinationCosine () const =0
double	probabilityForDirection (Direction bfk) const override
virtual double	probabilityForInclinationCosine (double costheta) const =0
double	symmetryX () const
double	symmetryY () const
double	symmetryZ () const
virtual int	dimension () const =0
virtual Direction	generateDirection () const =0
Public Member Functions inherited from SimulationItem
template<class T >
T *	find (bool setup=true) const
template<class T >
T *	interface (int levels=-999999, bool setup=true) const
virtual string	itemName () const
void	setup ()
string	typeAndName () const
Public Member Functions inherited from Item
	Item (const Item &)=delete
virtual	~Item ()
void	addChild (Item *child)
const vector< Item * > &	children () const
virtual void	clearItemListProperty (const PropertyDef *property)
void	destroyChild (Item *child)
virtual bool	getBoolProperty (const PropertyDef *property) const
virtual vector< double >	getDoubleListProperty (const PropertyDef *property) const
virtual double	getDoubleProperty (const PropertyDef *property) const
virtual string	getEnumProperty (const PropertyDef *property) const
virtual int	getIntProperty (const PropertyDef *property) const
virtual vector< Item * >	getItemListProperty (const PropertyDef *property) const
virtual Item *	getItemProperty (const PropertyDef *property) const
virtual string	getStringProperty (const PropertyDef *property) const
int	getUtilityProperty (string name) const
virtual void	insertIntoItemListProperty (const PropertyDef *property, int index, Item *item)
Item &	operator= (const Item &)=delete
Item *	parent () const
virtual void	removeFromItemListProperty (const PropertyDef *property, int index)
virtual void	setBoolProperty (const PropertyDef *property, bool value)
virtual void	setDoubleListProperty (const PropertyDef *property, vector< double > value)
virtual void	setDoubleProperty (const PropertyDef *property, double value)
virtual void	setEnumProperty (const PropertyDef *property, string value)
virtual void	setIntProperty (const PropertyDef *property, int value)
virtual void	setItemProperty (const PropertyDef *property, Item *item)
virtual void	setStringProperty (const PropertyDef *property, string value)
void	setUtilityProperty (string name, int value)
virtual string	type () const
Public Member Functions inherited from AngularDistributionInterface
virtual	~AngularDistributionInterface ()
virtual double	probabilityForDirection (Direction bfk) const =0

Protected Member Functions
	NetzerAngularDistribution ()
void	setupSelfBefore () override
Protected Member Functions inherited from AxAngularDistribution
	AxAngularDistribution ()
void	setupSelfBefore () override
Protected Member Functions inherited from AngularDistribution
	AngularDistribution ()
Random *	random () const
void	setupSelfBefore () override
Protected Member Functions inherited from SimulationItem
	SimulationItem ()
virtual bool	offersInterface (const std::type_info &interfaceTypeInfo) const
virtual void	setupSelfAfter ()
virtual void	setupSelfBefore ()
Protected Member Functions inherited from Item
	Item ()
Protected Member Functions inherited from AngularDistributionInterface
	AngularDistributionInterface ()

Private Types
using	BaseType = AxAngularDistribution
using	ItemType = NetzerAngularDistribution

Private Attributes
Array	_costhetav
Array	_Xv

Friends
class	ItemRegistry

Detailed Description

The NetzerAngularDistribution class describes anisotropic AGN accretion disk emission as proposed by Netzer (1987, MNRAS.225...55N, eq (5)):

$$L(\theta )\propto \{\begin{array}{ll}\cos \theta (2\cos \theta +1)& 0\le \theta \le \pi /2\\ \cos \theta (2\cos \theta -1)& \pi /2\le \theta \le \pi \end{array}$$

The accretion disk is assumed to be approximated by a point source. The emission pattern is axisymmetric relative to an arbitrary symmetry axis configured in the base class.

Constructor & Destructor Documentation

NetzerAngularDistribution()

NetzerAngularDistribution::NetzerAngularDistribution ( )

inlineprotected

Default constructor for concrete Item subclass NetzerAngularDistribution : "a Netzer AGN accretion disk emission profile" .

Member Function Documentation

generateInclinationCosine()

double NetzerAngularDistribution::generateInclinationCosine ( ) const

overridevirtual

This function generates a random inclination cosine $\cos \theta$ according to the Netzer luminosity profile, with $\theta$ determined from the cumulative distribution calculated during setup.

Implements AxAngularDistribution.

probabilityForInclinationCosine()

double NetzerAngularDistribution::probabilityForInclinationCosine ( double  costheta ) const

overridevirtual

This function returns the normalized probability for a given inclination cosine $\cos \theta$ according to the Netzer luminosity profile. It simply implements a properly normalized version of the function $L(\theta )$ defined in the header of this class, subject to the normalization

$$\frac{1}{4\pi }\iint p(\mathbf{k})\text{d}\mathrm{\Omega }=1$$

Implements AxAngularDistribution.

setupSelfBefore()

void NetzerAngularDistribution::setupSelfBefore ( )

overrideprotectedvirtual

This function contructs a vector with the cumulative distribution of the anisotropic luminosity as a function of $\theta$. For the Netzer luminosity function $L(\theta )$ defined in the header of this class, the cumulative distribution is given by

$$X(\theta )\propto {\int }_0^{\theta }L({\theta }^{\prime })\sin {\theta }^{\prime }\mathrm{d}{\theta }^{\prime }$$

which, after proper normalization, leads to

$$X(\theta )=\{\begin{array}{ll}\frac{1}{2}-\frac{2}{7}{\cos }^3\theta -\frac{3}{14}{\cos }^2\theta & 0\le \theta \le \pi /2\\ \frac{1}{2}-\frac{2}{7}{\cos }^3\theta +\frac{3}{14}{\cos }^2\theta & \pi /2\le \theta \le \pi \end{array}$$

Reimplemented from AxAngularDistribution.

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The documentation for this class was generated from the following file:

• NetzerAngularDistribution.hpp