Graybody emission model. More...

#include <Graybody.h>

Collaboration diagram for manticore::Graybody:

Public Member Functions
	Graybody (Dust &dust, double err=1e-3)
	Default constructor. More...

	Graybody (const Graybody &g)
	Copy constructor. More...

double	Bnu (double nu, double T) const
	Blackbody specific intensity (erg/cm^2/s/Hz/sr). More...

double	dBnu_dT (double nu, double T) const
	Blackbody specific intensity T-derivative (erg/cm^2/s/Hz/sr/K). More...

double	dF_dS (double T, double Sigma, const Detector *detect=nullptr, double sr=1.0) const
	Graybody integrated flux Sigma-derivative (erg/s/g). More...

double	dF_dT (double T, double Sigma, const Detector *detect=nullptr, double sr=1.0) const
	Graybody integrated flux T-derivative (erg/cm^2/s/K). More...

double	dInu_dS (double nu, double T, double Sigma) const
	Graybody specific intensity Sigma-derivative (erg/s/Hz/sr/g). More...

double	dInu_dT (double nu, double T, double Sigma) const
	Graybody specific intensity T-derivative (erg/cm^2/s/Hz/sr/K). More...

Dust &	dust () noexcept
	Dust model reference. More...

const Dust &	dust () const noexcept
	Dust model reference (const). More...

double	F (double T, double Sigma, const Detector *detect=nullptr, double sr=1.0) const
	Graybody integrated flux (erg/cm^2/s). More...

double	Inu (double nu, double T, double Sigma) const
	Graybody specific intensity (erg/cm^2/s/Hz/sr). More...

Static Public Attributes
static constexpr double	B0 = 2.0h_Planck/(c_lightc_light)
	Blackbody convenience value. More...

Protected Member Functions
double	Itot (double(Graybody::I)(double, double, double) const, double T, double Sigma, const Detector detect=nullptr, double sr=1.0) const
	Graybody integrated flux variant (erg/cm^2/s/??). More...

Protected Attributes
Dust &	dust_
	Dust model. More...

double	err_
	Integration relative error. More...

gsl_integration_workspace *	integ_
	Integration workspace. More...

Static Protected Attributes
static constexpr int	intKey = GSL_INTEG_GAUSS41
	Integration rule key. More...

static constexpr size_t	subLimit = 512
	Integral subdivision limit. More...

Detailed Description

Graybody emission model.

A graybody is a blackbody emitter modified by an optical depth factor:

\[ I^{\rm gray}_\nu = (1 - e^{-\tau})B_\nu(T), \]

where \(\tau = \tau(\nu; \Sigma)\) is the optical depth, \(\Sigma\) is the mass column density and \(B_\nu(T)\) is the Planck function:

\[ B_\nu(T) = {2h\nu^3\over c^2}{1\over e^{h\nu/kT}-1}. \]

The functional form for \(\tau\) depends on the details of the dust model. This class accepts an arbitrary dust opacity model.

Definition at line 33 of file Graybody.h.

Constructor & Destructor Documentation

◆ Graybody() [1/2]

manticore::Graybody::Graybody	(	Dust &	dust,
		double	err = `1e-3`
	)

inline

Default constructor.

Parameters

[in]	dust	Dust model.
[in]	err	Relative error target for integrations.

Definition at line 41 of file Graybody.h.

◆ Graybody() [2/2]

manticore::Graybody::Graybody ( const Graybody & g )

inline

Copy constructor.

Definition at line 46 of file Graybody.h.

Member Function Documentation

◆ Bnu()

double manticore::Graybody::Bnu	(	double	nu,
		double	T
	)		const

inline

Blackbody specific intensity (erg/cm^2/s/Hz/sr).

Parameters

[in]	nu	Frequency (Hz).
[in]	T	Temperature (K).

Definition at line 58 of file Graybody.h.

References B0, manticore::h_Planck, and manticore::k_Boltzman.

Referenced by dInu_dS(), and Inu().

◆ dBnu_dT()

double manticore::Graybody::dBnu_dT	(	double	nu,
		double	T
	)		const

inline

Blackbody specific intensity T-derivative (erg/cm^2/s/Hz/sr/K).

Parameters

[in]	nu	Frequency (Hz).
[in]	T	Temperature (K).

Definition at line 64 of file Graybody.h.

References B0, manticore::h_Planck, and manticore::k_Boltzman.

Referenced by dInu_dT().

◆ dF_dS()

double manticore::Graybody::dF_dS	(	double	T,
		double	Sigma,
		const Detector *	detect = `nullptr`,
		double	sr = `1.0`
	)		const

inline

Graybody integrated flux Sigma-derivative (erg/s/g).

Parameters

[in]	T	Temperature (K).
[in]	Sigma	Mass density (g/cm^2).
[in]	detect	Detector instance (optional).
[in]	sr	Solid angle (sr, optional).

Definition at line 115 of file Graybody.h.

References dInu_dS(), and Itot().

Referenced by manticore::ccfCheck().

◆ dF_dT()

double manticore::Graybody::dF_dT	(	double	T,
		double	Sigma,
		const Detector *	detect = `nullptr`,
		double	sr = `1.0`
	)		const

inline

Graybody integrated flux T-derivative (erg/cm^2/s/K).

Parameters

[in]	T	Temperature (K).
[in]	Sigma	Mass density (g/cm^2).
[in]	detect	Detector instance (optional).
[in]	sr	Solid angle (sr, optional).

Definition at line 106 of file Graybody.h.

References dInu_dT(), and Itot().

Referenced by manticore::ccfCheck().

◆ dInu_dS()

double manticore::Graybody::dInu_dS	(	double	nu,
		double	T,
		double	Sigma
	)		const

inline

Graybody specific intensity Sigma-derivative (erg/s/Hz/sr/g).

Parameters

[in]	nu	Frequency (Hz).
[in]	T	Temperature (K).
[in]	Sigma	Mass density (g/cm^2).

Definition at line 87 of file Graybody.h.

References Bnu(), dust_, and manticore::Dust::kappa().

Referenced by dF_dS().

◆ dInu_dT()

double manticore::Graybody::dInu_dT	(	double	nu,
		double	T,
		double	Sigma
	)		const

inline

Graybody specific intensity T-derivative (erg/cm^2/s/Hz/sr/K).

Parameters

[in]	nu	Frequency (Hz).
[in]	T	Temperature (K).
[in]	Sigma	Mass density (g/cm^2).

Definition at line 80 of file Graybody.h.

References dBnu_dT(), dust_, and manticore::Dust::kappa().

Referenced by dF_dT().

◆ dust() [1/2]

Dust& manticore::Graybody::dust ( )

inlinenoexcept

Dust model reference.

Definition at line 50 of file Graybody.h.

References dust_.

◆ dust() [2/2]

const Dust& manticore::Graybody::dust ( ) const

inlinenoexcept

Dust model reference (const).

Definition at line 53 of file Graybody.h.

References dust_.

◆ F()

double manticore::Graybody::F	(	double	T,
		double	Sigma,
		const Detector *	detect = `nullptr`,
		double	sr = `1.0`
	)		const

inline

Graybody integrated flux (erg/cm^2/s).

Parameters

[in]	T	Temperature (K).
[in]	Sigma	Mass density (g/cm^2).
[in]	detect	Detector instance (optional).
[in]	sr	Solid angle (sr, optional).

Definition at line 97 of file Graybody.h.

References Inu(), and Itot().

Referenced by manticore::Detector::ccf(), and manticore::ccfCheck().

◆ Inu()

double manticore::Graybody::Inu	(	double	nu,
		double	T,
		double	Sigma
	)		const

inline

Graybody specific intensity (erg/cm^2/s/Hz/sr).

Parameters

[in]	nu	Frequency (Hz).
[in]	T	Temperature (K).
[in]	Sigma	Mass density (g/cm^2).

Definition at line 73 of file Graybody.h.

References Bnu(), dust_, and manticore::Dust::kappa().

Referenced by manticore::Detector::ccf(), manticore::ccfCheck(), and F().

◆ Itot()

double manticore::Graybody::Itot	(	double(Graybody::*)(double, double, double) const	I,
		double	T,
		double	Sigma,
		const Detector *	detect = `nullptr`,
		double	sr = `1.0`
	)		const

protected

Graybody integrated flux variant (erg/cm^2/s/??).

Parameters

[in]	T	Temperature (K).
[in]	Sigma	Mass density (g/cm^2).
[in]	detect	Detector instance (optional).
[in]	sr	Solid angle (sr, optional).

Definition at line 45 of file Graybody.cc.

References err_, manticore::graybody::flux(), manticore::Detector::freqRange(), manticore::h_Planck, integ_, intKey, manticore::k_Boltzman, and subLimit.

Referenced by dF_dS(), dF_dT(), and F().

Member Data Documentation

◆ B0

constexpr double manticore::Graybody::B0 = 2.0*h_Planck/(c_light*c_light)

static

Blackbody convenience value.

Definition at line 36 of file Graybody.h.

Referenced by Bnu(), and dBnu_dT().

◆ dust_

Dust& manticore::Graybody::dust_

protected

Dust model.

Definition at line 136 of file Graybody.h.

Referenced by dInu_dS(), dInu_dT(), dust(), and Inu().

◆ err_

double manticore::Graybody::err_

protected

Integration relative error.

Definition at line 139 of file Graybody.h.

Referenced by Itot().

◆ integ_

gsl_integration_workspace* manticore::Graybody::integ_

protected

Integration workspace.

Definition at line 142 of file Graybody.h.

Referenced by Itot().

◆ intKey

constexpr int manticore::Graybody::intKey = GSL_INTEG_GAUSS41

staticprotected

Integration rule key.

Definition at line 124 of file Graybody.h.

Referenced by Itot().

◆ subLimit

constexpr size_t manticore::Graybody::subLimit = 512

staticprotected

Integral subdivision limit.

Definition at line 121 of file Graybody.h.

Referenced by Itot().

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

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Graybody() [1/2]

◆ Graybody() [2/2]

Member Function Documentation

◆ Bnu()

◆ dBnu_dT()

◆ dF_dS()

◆ dF_dT()

◆ dInu_dS()

◆ dInu_dT()

◆ dust() [1/2]

◆ dust() [2/2]

◆ F()

◆ Inu()

◆ Itot()

Member Data Documentation

◆ B0

◆ dust_

◆ err_

◆ integ_

◆ intKey

◆ subLimit