Kernel for radial model zenith angle integration of IRF. More...

#include <GCTAResponse_helpers.hpp>

Inheritance diagram for cta_irf_radial_kern_rho:

Public Member Functions
	cta_irf_radial_kern_rho (const GCTAResponseIrf rsp, const GModelSpatialRadial model, const double &zenith, const double &azimuth, const GEnergy &srcEng, const GTime &srcTime, const GEnergy &obsEng, const double &zeta, const double &lambda, const double &omega0, const double &delta_max, const int &iter)

double	eval (const double &rho)
	Kernel for radial model zenith angle integration of Irf. 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...

const GModelSpatialRadial *	m_model
	Radial 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_zeta
	Distance model centre - measured photon. More...

double	m_cos_zeta
	Cosine of zeta. More...

double	m_sin_zeta
	Sine of zeta. More...

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

double	m_cos_lambda
	Cosine of lambda. More...

double	m_sin_lambda
	Sine of lambda. More...

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

double	m_delta_max
	Maximum PSF radius. More...

double	m_cos_delta_max
	Cosine of maximum PSF radius. More...

int	m_iter
	Integration iterations. 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 zenith angle integration of IRF.

Kernel for radial model zenith angle integration.

This class implements the integration kernel \(K(\rho)\) for the integration

\[ \int_{\rho_{\rm min}}^{\rho_{\rm max}} K(\rho | E, t) d\rho \]

of radial spatial models. The eval() method computes

\[ K(\rho | E, t) = \sin \rho \times S_{\rm p}(\rho | E, t) \times \int_{\omega_{\rm min}}^{\omega_{\rm max}} IRF(\rho, \omega) d\omega \]

where

\(S_{\rm p}(\rho | E, t)\) is the radial 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 integration kernel \(K(\rho)\) for the integration

\[ \int_{\rho_{\rm min}}^{\rho_{\rm max}} K(\rho | E, t) d\rho \]

of radial spatial models. The eval() method computes

\[ K(\rho | E, t) = \sin \rho \times S_{\rm p}(\rho | E, t) \times \int_{\omega} PSF(\rho, \omega) d\omega \]

where \(S_{\rm p}(\rho | E, t)\) is the radial model, \(PSF(\rho, \omega)\) 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 178 of file GCTAResponse_helpers.hpp.

Constructor & Destructor Documentation

cta_irf_radial_kern_rho::cta_irf_radial_kern_rho	(	const GCTAResponseIrf *	rsp,
		const GModelSpatialRadial *	model,
		const double &	zenith,
		const double &	azimuth,
		const GEnergy &	srcEng,
		const GTime &	srcTime,
		const GEnergy &	obsEng,
		const double &	zeta,
		const double &	lambda,
		const double &	omega0,
		const double &	delta_max,
		const int &	iter
	)

inline

Definition at line 180 of file GCTAResponse_helpers.hpp.

Member Function Documentation

double cta_irf_radial_kern_rho::eval ( const double & rho )

virtual

Kernel for radial model zenith angle integration of Irf.

Parameters

[in] rho Zenith angle with respect to model centre [radians].

Computes the kernel

\[ K(\rho | E, t) = \sin \rho \times S_{\rm p}(\rho | E, t) \times \int_{\omega_{\rm min}}^{\omega_{\rm max}} IRF(\rho, \omega) d\omega \]

for the zenith angle integration of radial models.

Implements GFunction.

Definition at line 332 of file GCTAResponse_helpers.cpp.

References cos(), GModelSpatialRadial::eval(), GIntegral::fixed_iter(), g_kludge_radius, gammalib::is_infinite(), gammalib::is_notanumber(), m_azimuth, m_cos_delta_max, m_cos_lambda, m_cos_zeta, m_delta_max, m_iter, m_lambda, m_model, m_obsEng, m_omega0, m_rsp, m_sin_lambda, m_sin_zeta, m_srcEng, m_srcTime, m_zenith, m_zeta, gammalib::rad2deg, gammalib::roi_arclength(), GIntegral::romberg(), sin(), and GModelSpatialRadial::theta_max().

Member Data Documentation

double cta_irf_radial_kern_rho::m_azimuth

protected

Azimuth angle.

Definition at line 214 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_cos_delta_max

protected

Cosine of maximum PSF radius.

Definition at line 226 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_cos_lambda

protected

Cosine of lambda.

Definition at line 222 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_cos_zeta

protected

Cosine of zeta.

Definition at line 219 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_delta_max

protected

Maximum PSF radius.

Definition at line 225 of file GCTAResponse_helpers.hpp.

Referenced by eval().

int cta_irf_radial_kern_rho::m_iter

protected

Integration iterations.

Definition at line 227 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_lambda

protected

Distance model centre - pointing.

Definition at line 221 of file GCTAResponse_helpers.hpp.

Referenced by eval().

const GModelSpatialRadial* cta_irf_radial_kern_rho::m_model

protected

Radial spatial model.

Definition at line 212 of file GCTAResponse_helpers.hpp.

Referenced by eval().

GEnergy cta_irf_radial_kern_rho::m_obsEng

protected

Measured event energy.

Definition at line 217 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_omega0

protected

Azimuth of pointing in model system.

Definition at line 224 of file GCTAResponse_helpers.hpp.

Referenced by eval().

const GCTAResponseIrf* cta_irf_radial_kern_rho::m_rsp

protected

CTA response.

Definition at line 211 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_sin_lambda

protected

Sine of lambda.

Definition at line 223 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_sin_zeta

protected

Sine of zeta.

Definition at line 220 of file GCTAResponse_helpers.hpp.

Referenced by eval().

GEnergy cta_irf_radial_kern_rho::m_srcEng

protected

True photon energy.

Definition at line 215 of file GCTAResponse_helpers.hpp.

Referenced by eval().

GTime cta_irf_radial_kern_rho::m_srcTime

protected

True photon time.

Definition at line 216 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_zenith

protected

Zenith angle.

Definition at line 213 of file GCTAResponse_helpers.hpp.

Referenced by eval().

double cta_irf_radial_kern_rho::m_zeta

protected

Distance model centre - measured photon.

Definition at line 218 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

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation