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

#include <GCTAResponse_helpers.hpp>

Inheritance diagram for cta_irf_radial_kern_omega:

Public Member Functions
	cta_irf_radial_kern_omega (const GCTAResponseIrf *rsp, const double &zenith, const double &azimuth, const GEnergy &srcEng, const GEnergy &obsEng, const double &zeta, const double &lambda, const double &omega0, 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 radial model azimuth angle IRF integration. 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...

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

double	m_zenith
	Zenith angle. More...

double	m_azimuth
	Azimuth angle. More...

GEnergy	m_srcEng
	True photon energy. More...

GEnergy	m_obsEng
	Measured event energy. More...

double	m_zeta
	Distance model centre - measured photon. More...

double	m_lambda
	Distance model centre - pointing. More...

double	m_omega0
	Azimuth of pointing in model system. More...

double	m_rho
	... 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 radial model azimuth angle IRF integration.

This class implements the computation of the IRF in the reference frame of the radial source model. It computes

\[ IRF(\rho, \omega) \]

where

\(\rho\) 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.

Definition at line 249 of file GCTAResponse_helpers.hpp.

Constructor & Destructor Documentation

cta_irf_radial_kern_omega::cta_irf_radial_kern_omega	(	const GCTAResponseIrf *	rsp,
		const double &	zenith,
		const double &	azimuth,
		const GEnergy &	srcEng,
		const GEnergy &	obsEng,
		const double &	zeta,
		const double &	lambda,
		const double &	omega0,
		const double &	rho,
		const double &	cos_psf,
		const double &	sin_psf,
		const double &	cos_ph,
		const double &	sin_ph
	)

inline

Definition at line 251 of file GCTAResponse_helpers.hpp.

Member Function Documentation

double cta_irf_radial_kern_omega::eval ( const double & omega )

virtual

Kernel for radial model azimuth angle IRF integration.

Parameters

[in] omega Azimuth angle (radians).

Computes the kernel

\[ IRF(\rho,\omega) \]

for the azimuth angle integration of radial models.

From the model coordinates \((\rho,\omega)\), 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 474 of file GCTAResponse_helpers.cpp.

References gammalib::acos(), GCTAResponseIrf::aeff(), cos(), GCTAResponseIrf::edisp(), gammalib::is_infinite(), gammalib::is_notanumber(), GEnergy::log10TeV(), m_azimuth, m_cos_ph, m_cos_psf, m_obsEng, m_omega0, m_rsp, m_sin_ph, m_sin_psf, m_srcEng, m_zenith, GCTAResponseIrf::psf(), and GCTAResponseIrf::use_edisp().

Member Data Documentation

double cta_irf_radial_kern_omega::m_azimuth

protected

Azimuth angle.

Definition at line 281 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_cos_ph

protected

Cosine term for photon offset angle computation.

Definition at line 290 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_cos_psf

protected

Cosine term for PSF offset angle computation.

Definition at line 288 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_lambda

protected

Distance model centre - pointing.

Definition at line 285 of file GCTAResponse_helpers.hpp.

GEnergy cta_irf_radial_kern_omega::m_obsEng

protected

Measured event energy.

Definition at line 283 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_omega0

protected

Azimuth of pointing in model system.

Definition at line 286 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_rho

protected

...

Definition at line 287 of file GCTAResponse_helpers.hpp.

const GCTAResponseIrf* cta_irf_radial_kern_omega::m_rsp

protected

CTA response.

Definition at line 279 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_sin_ph

protected

Sine term for photon offset angle computation.

Definition at line 291 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_sin_psf

protected

Sine term for PSF offset angle computation.

Definition at line 289 of file GCTAResponse_helpers.hpp.

Referenced by eval().

GEnergy cta_irf_radial_kern_omega::m_srcEng

protected

True photon energy.

Definition at line 282 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_zenith

protected

Zenith angle.

Definition at line 280 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_omega::m_zeta

protected

Distance model centre - measured photon.

Definition at line 284 of file GCTAResponse_helpers.hpp.

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

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation