ConicalAngularDistribution Class Reference

#include <ConicalAngularDistribution.hpp>

Inheritance diagram for ConicalAngularDistribution:

Public Member Functions
double	generateInclinationCosine () const override
double	openingAngle () const
double	probabilityForInclinationCosine (double costheta) const override
Public Member Functions inherited from AxAngularDistribution
int	dimension () const override
Direction	generateDirection () const override
double	probabilityForDirection (Direction bfk) const override
double	symmetryX () const
double	symmetryY () const
double	symmetryZ () const
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 ()

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

Private Types
using	BaseType
using	ItemType

Private Attributes
double	_cosDelta
double	_openingAngle

Friends
class	ItemRegistry

Detailed Description

The ConicalAngularDistribution class describes anisotropic emission that can represent a simple model for an AGN: the emission is isotropic within a cone around the symmetry axis (on both sides), and completely blocked outside this cone. The (half) opening angle \(\Delta\) of the cone is the only free parameter. The emission pattern is axisymmetric relative to an arbitrary symmetry axis configured in the base class.

Constructor & Destructor Documentation

ConicalAngularDistribution()

ConicalAngularDistribution::ConicalAngularDistribution ( )

inlineprotected

Default constructor for concrete Item subclass ConicalAngularDistribution: "an anisotropic conical emission profile".

Member Function Documentation

generateInclinationCosine()

double ConicalAngularDistribution::generateInclinationCosine ( ) const

overridevirtual

This function generates a random inclination cosine \(\cos\theta\) according to an isotropic distribution within a cone with (half) opening angle \(Delta\). This can be easily obtained by picking a uniform deviate \({\cal{X}}\) and setting

\[ \theta = \begin{cases} \;\arccos\left[ 1-2{\cal{X}}(1-\cos\Delta)\right] & \qquad\text{if $0\le {\cal{X}} < \dfrac{\pi}{2}$} \\ \;\arccos\left[ 1-2\cos\Delta - 2{\cal{X}}(1-\cos\Delta) \right] & \qquad\text{if $\dfrac12 \le {\cal{X}} < 1$} \end{cases} \]

Implements AxAngularDistribution.

openingAngle()

double ConicalAngularDistribution::openingAngle ( ) const

inline

This function returns the value of the discoverable double property openingAngle: "the (half) opening angle of the cone".

This property represents a physical quantity of type "posangle".

The minimum value for this property is "]0 deg".

The maximum value for this property is "90 deg]".

probabilityForInclinationCosine()

double ConicalAngularDistribution::probabilityForInclinationCosine ( double costheta ) const

overridevirtual

This function returns the normalized probability for a given inclination cosine \(\cos\theta\) according to an isotropic emission within a cone with (half) opening angle \(\Delta\). We have

\[ p({\theta}) = \frac{1}{1-\cos\Delta}\times\begin{cases}\; 1 & \qquad\text{if $0\le\theta<\Delta$} \\ \;0 & \qquad\text{if $\Delta\le\theta<\pi-\Delta$} \\ \;1 & \qquad\text{if $\pi-\Delta\le\theta\le\pi$} \end{cases} \]

Implements AxAngularDistribution.

setupSelfBefore()

void ConicalAngularDistribution::setupSelfBefore ( )

overrideprotectedvirtual

This function calculates the cosine of the opening angle for later use.

Reimplemented from AxAngularDistribution.

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

• ConicalAngularDistribution.hpp