Kernel for ellitpical model azimuth angle IRF integration. More...

#include <GCTAResponse_helpers.hpp>

Inheritance diagram for cta_irf_elliptical_kern_omega:

Public Member Functions
	cta_irf_elliptical_kern_omega (const GCTAResponseIrf rsp, const GModelSpatialElliptical model, const double &zenith, const double &azimuth, const GEnergy &srcEng, const GTime &srcTime, const GEnergy &obsEng, const double &posangle_obs, const double &omega_pnt, const double &rho, const double &cos_psf, const double &sin_psf, const double &cos_ph, const double &sin_ph)

double	eval (const double &omega)
	Kernel for elliptical model integration over model's azimuth angle. More...

Public Member Functions inherited from GFunction
	GFunction (void)
	Void constructor. More...

	GFunction (const GFunction &function)
	Copy constructor. More...

virtual	~GFunction (void)
	Destructor. More...

GFunction &	operator= (const GFunction &function)
	Assignment operator. More...

Public Attributes
const GCTAResponseIrf *	m_rsp
	CTA response. More...

const GModelSpatialElliptical *	m_model
	Spatial model. More...

double	m_zenith
	Zenith angle. More...

double	m_azimuth
	Azimuth angle. More...

GEnergy	m_srcEng
	True photon energy. More...

GTime	m_srcTime
	True photon time. More...

GEnergy	m_obsEng
	Measured event energy. More...

double	m_posangle_obs
	Measured photon position angle from model centre. More...

double	m_omega_pnt
	Azimuth of pointing in model system. More...

double	m_rho
	Model zenith angle. More...

double	m_cos_psf
	Cosine term for PSF offset angle computation. More...

double	m_sin_psf
	Sine term for PSF offset angle computation. More...

double	m_cos_ph
	Cosine term for photon offset angle computation. More...

double	m_sin_ph
	Sine term for photon offset angle computation. More...

Additional Inherited Members
Protected Member Functions inherited from GFunction
void	init_members (void)
	Initialise class members. More...

void	copy_members (const GFunction &function)
	Copy class members. More...

void	free_members (void)
	Delete class members. More...

Detailed Description

Kernel for ellitpical model azimuth angle IRF integration.

Kernel for elliptical model azimuth angle integration.

This class implements the computation of

\[ S_{\rm p}(\rho, \omega | E, t) \, IRF(\rho, \omega) \]

where

\(S_{\rm p}(\rho, \omega | E, t)\) is the elliptical model,
\(IRF(\rho, \omega)\) is the IRF
\(\rho\) is the distance from the model centre, and
\(\omega\) is the azimuth angle is the position angle with respect to the connecting line between the model centre and the observed photon arrival direction.

This class implements the computation of

\[ S_{\rm p}(\omega | \rho, E, t) \, PSF(\omega | \rho) \]

where \(S_{\rm p}(\omega | \rho, E, t)\) is the elliptical model, \( PSF(\omega | \rho)\) is the point spread function, \(\rho\) is the distance from the model centre, and \(\omega\) is the position angle with respect to the connecting line between the model centre and the observed photon arrival direction.

Definition at line 541 of file GCTAResponse_helpers.hpp.

Constructor & Destructor Documentation

cta_irf_elliptical_kern_omega::cta_irf_elliptical_kern_omega	(	const GCTAResponseIrf *	rsp,
		const GModelSpatialElliptical *	model,
		const double &	zenith,
		const double &	azimuth,
		const GEnergy &	srcEng,
		const GTime &	srcTime,
		const GEnergy &	obsEng,
		const double &	posangle_obs,
		const double &	omega_pnt,
		const double &	rho,
		const double &	cos_psf,
		const double &	sin_psf,
		const double &	cos_ph,
		const double &	sin_ph
	)

inline

Definition at line 543 of file GCTAResponse_helpers.hpp.

Member Function Documentation

double cta_irf_elliptical_kern_omega::eval ( const double & omega )

virtual

Kernel for elliptical model integration over model's azimuth angle.

Parameters

[in] omega Azimuth angle (radians).

Computes

\[ S_{\rm p}(\omega | \rho, E, t) \, IRF(\omega | \rho) \]

where \(\omega\) is the azimuth angle with respect to the model centre, counted counterclockwise from the vector connecting the model centre to the observed photon direction, and \(\rho\) is the radial distance from the model centre.

From the coordinates \((\rho,\omega)\) in the model system, the method computes the angle between the true ( \(\vec{p}\)) and observed ( \(\vec{p'}\)) photon arrival direction using

\[\delta = \arccos(\cos \rho \cos \zeta + \sin \rho \sin \zeta \cos \omega)\]

where \(\zeta\) is the angular distance between the observed photon arrival direction \(\vec{p'}\) and the model centre \(\vec{m}\). This angle \(\delta\) is used to compute the \(PSF(\delta)\) value.

The method computes also the angle \(\theta\) between the observed photon arrival direction \(\vec{p'}\) and the camera pointing \(\vec{d}\) using

\[\theta = \arccos(\cos \rho \cos \lambda + \sin \rho \sin \lambda \cos \omega_0 - \omega)\]

where \(\lambda\) is the angular distance between the model centre \(\vec{m}\) and the camera pointing direction \(\vec{d}\). The angle \(\theta\) is used in the computation of the IRF (no azimuthal dependence is so far implemented for the IRF computation).

Implements GFunction.

Definition at line 907 of file GCTAResponse_helpers.cpp.

References gammalib::acos(), GCTAResponseIrf::aeff(), cos(), gammalib::deg2rad, GCTAResponseIrf::edisp(), GModelSpatialElliptical::eval(), gammalib::is_infinite(), gammalib::is_notanumber(), GEnergy::log10TeV(), m_azimuth, m_cos_ph, m_cos_psf, m_model, m_obsEng, m_omega_pnt, m_posangle_obs, m_rho, m_rsp, m_sin_ph, m_sin_psf, m_srcEng, m_srcTime, m_zenith, GModelSpatialElliptical::posangle(), GCTAResponseIrf::psf(), gammalib::rad2deg, GModelSpatialElliptical::semimajor(), GModelSpatialElliptical::semiminor(), sin(), sqrt(), and GCTAResponseIrf::use_edisp().

Member Data Documentation

double cta_irf_elliptical_kern_omega::m_azimuth

Azimuth angle.

Definition at line 576 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_cos_ph

Cosine term for photon offset angle computation.

Definition at line 585 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_cos_psf

Cosine term for PSF offset angle computation.

Definition at line 583 of file GCTAResponse_helpers.hpp.

Referenced by eval().

const GModelSpatialElliptical* cta_irf_elliptical_kern_omega::m_model

Spatial model.

Definition at line 574 of file GCTAResponse_helpers.hpp.

Referenced by eval().

GEnergy cta_irf_elliptical_kern_omega::m_obsEng

Measured event energy.

Definition at line 579 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_omega_pnt

Azimuth of pointing in model system.

Definition at line 581 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_posangle_obs

Measured photon position angle from model centre.

Definition at line 580 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_rho

Model zenith angle.

Definition at line 582 of file GCTAResponse_helpers.hpp.

Referenced by eval().

const GCTAResponseIrf* cta_irf_elliptical_kern_omega::m_rsp

CTA response.

Definition at line 573 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_sin_ph

Sine term for photon offset angle computation.

Definition at line 586 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_sin_psf

Sine term for PSF offset angle computation.

Definition at line 584 of file GCTAResponse_helpers.hpp.

Referenced by eval().

GEnergy cta_irf_elliptical_kern_omega::m_srcEng

True photon energy.

Definition at line 577 of file GCTAResponse_helpers.hpp.

Referenced by eval().

GTime cta_irf_elliptical_kern_omega::m_srcTime

True photon time.

Definition at line 578 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_elliptical_kern_omega::m_zenith

Zenith angle.

Definition at line 575 of file GCTAResponse_helpers.hpp.

Referenced by eval().

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

inst/cta/src/GCTAResponse_helpers.hpp
inst/cta/src/GCTAResponse_helpers.cpp

Public Member Functions

Public Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation