This file contains declerations of functions of physical character. More...

#include "arts_conversions.h"
#include "arts.h"
#include "matpackI.h"
#include "matpack_complex.h"

Functions
Numeric	barometric_heightformula (const Numeric &p, const Numeric &dh)
	barometric_heightformula More...

Numeric	dinvplanckdI (const Numeric &i, const Numeric &f)
	dinvplanckdI More...

void	fresnel (Complex &Rv, Complex &Rh, const Complex &n1, const Complex &n2, const Numeric &theta)
	fresnel More...

Numeric	invplanck (const Numeric &i, const Numeric &f)
	invplanck More...

Numeric	invrayjean (const Numeric &i, const Numeric &f)
	invrayjean More...

constexpr Numeric	number_density (Numeric p, Numeric t) noexcept
	number_density More...

constexpr Numeric	dnumber_density_dt (Numeric p, Numeric t) noexcept
	dnumber_density_dT More...

Numeric	planck (const Numeric &f, const Numeric &t)
	planck More...

void	planck (VectorView b, const ConstVectorView &f, const Numeric &t)
	planck More...

Vector	planck (const ConstVectorView &f, const Numeric &t)
	planck More...

Numeric	dplanck_dt (const Numeric &f, const Numeric &t)
	dplanck_dt More...

void	dplanck_dt (VectorView b, const ConstVectorView &f, const Numeric &t)
	dplanck_dt More...

Vector	dplanck_dt (const ConstVectorView &f, const Numeric &t)
	dplanck_dt More...

Numeric	dplanck_df (const Numeric &f, const Numeric &t)
	dplanck_df More...

Vector	dplanck_df (const ConstVectorView &f, const Numeric &t)
	dplanck_df More...

Numeric	rayjean (const Numeric &f, const Numeric &t)
	rayjean More...

Complex	refice_ (const Numeric &wavlen, const Numeric &temp)
	Calculates complex refractive index of Ice 1H. More...

Detailed Description

This file contains declerations of functions of physical character.

Author: Patrick Eriksson Patri.nosp@m.ck.E.nosp@m.rikss.nosp@m.on@c.nosp@m.halme.nosp@m.rs.s.nosp@m.e

Date: 2002-05-08

Definition in file physics_funcs.h.

Function Documentation

◆ barometric_heightformula()

Numeric barometric_heightformula	(	const Numeric &	p,
		const Numeric &	dh
	)

barometric_heightformula

Barometric heightformula for isothermal earth atmosphere.

Parameters

[in]	p	Atmospheric pressure at starting level [Pa].
[in]	dh	Vertical displacement to starting pressure level [m].

Returns: p1 Pressure in displacement level [Pa].

Author: Daniel Kreyling

Date: 2011-01-20

Definition at line 64 of file physics_funcs.cc.

References M, and Constant::R.

Referenced by cloudboxSetAutomatically().

◆ dinvplanckdI()

Numeric dinvplanckdI	(	const Numeric &	i,
		const Numeric &	f
	)

dinvplanckdI

Calculates the derivative of inverse-Planck with respect to intensity.

Parameters

[in]	i	Radiance.
[in]	f	Frequency.

Returns: The derivative.

Author: Patrick Eriksson

Date: 2010-10-26

Definition at line 100 of file physics_funcs.cc.

References a, ARTS_USER_ERROR_IF, b, BOLTZMAN_CONST, d, PLANCK_CONST, and SPEED_OF_LIGHT.

Referenced by apply_iy_unit2().

◆ dnumber_density_dt()

constexpr Numeric dnumber_density_dt	(	Numeric	p,
		Numeric	t
	)

constexprnoexcept

dnumber_density_dT

Calculates the atmospheric number density derivative with temperature.

Parameters

[in]	p	Pressure.
[in]	t	Temperature.

Returns: Number density.

Author: Richard Larsson

Date: 2015-09-22

Definition at line 84 of file physics_funcs.h.

References Constant::k, and Math::pow2().

Referenced by abs_xsec_per_speciesAddCIA(), LineShape::compute(), propmat_clearskyAddCIA(), propmat_clearskyAddConts(), and propmat_clearskyAddXsecFit().

◆ dplanck_df() [1/2]

Vector dplanck_df	(	const ConstVectorView &	f,
		const Numeric &	t
	)

dplanck_df

Calculates the frequency derivative of the Planck function for a single temperature and frequency.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation frequency derivative.

Author: Richard Larsson

Date: 2015-09-15

Definition at line 362 of file physics_funcs.cc.

References dplanck_df(), and ConstVectorView::nelem().

◆ dplanck_df() [2/2]

Numeric dplanck_df	(	const Numeric &	f,
		const Numeric &	t
	)

dplanck_df

Calculates the frequency derivative of the Planck function for a single temperature and frequency.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation frequency derivative.

Author: Richard Larsson

Date: 2015-09-15

Definition at line 337 of file physics_funcs.cc.

References a, ARTS_USER_ERROR_IF, b, Constant::c, Constant::h, Constant::k, and Math::pow2().

Referenced by dplanck_df(), and nlte_sourceFromTemperatureAndSrcCoefPerSpecies().

◆ dplanck_dt() [1/3]

Vector dplanck_dt	(	const ConstVectorView &	f,
		const Numeric &	t
	)

dplanck_dt

Calculates the Planck function temperature derivative for a single temperature and a vector of frequencies.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation temperature derivative.

Author: Richard Larsson

Date: 2019-10-11

Definition at line 318 of file physics_funcs.cc.

References dplanck_dt(), and ConstVectorView::nelem().

◆ dplanck_dt() [2/3]

Numeric dplanck_dt	(	const Numeric &	f,
		const Numeric &	t
	)

dplanck_dt

Calculates the temperature derivative of the Planck function for a single temperature and frequency.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation temperature derivative.

Author: Richard Larsson

Date: 2015-09-15

Definition at line 273 of file physics_funcs.cc.

References a, ARTS_USER_ERROR_IF, b, Constant::c, Constant::h, Constant::k, Math::pow2(), and Math::pow4().

Referenced by dplanck_dt(), get_stepwise_blackbody_radiation(), iySurfaceLambertian(), nlte_sourceFromTemperatureAndSrcCoefPerSpecies(), and SurfaceBlackbody().

◆ dplanck_dt() [3/3]

void dplanck_dt	(	VectorView	dbdt,
		const ConstVectorView &	f,
		const Numeric &	t
	)

dplanck_dt

Calculates the Planck function temperature derivative for a single temperature and a vector of frequencies.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation temperature derivative.

Author: Richard Larsson

Date: 2019-10-11

Definition at line 299 of file physics_funcs.cc.

References ARTS_USER_ERROR_IF, dplanck_dt(), and ConstVectorView::nelem().

◆ fresnel()

void fresnel	(	Complex &	Rv,
		Complex &	Rh,
		const Complex &	n1,
		const Complex &	n2,
		const Numeric &	theta
	)

fresnel

Calculates complex AMPLITUDE reflection coeffcients for a specular reflection.

The properties of the two involved media are given as the complex refractive index, n. A dielectric constant, eps, is converted as n = sqrt( eps ). The power reflection coefficient, r, for one polarisation is r = abs(R)^2.

Parameters

[out]	Rv	Reflection coefficient for vertical polarisation.
[out]	Rh	Reflection coefficient for vertical polarisation.
[in]	n1	Refractive index of medium where radiation propagates.
[in]	n2	Refractive index of reflecting medium.
[in]	theta	Propagation angle from normal of radiation to be. reflected

Author: Patrick Eriksson

Date: 2004-09-21

Definition at line 132 of file physics_funcs.cc.

References a, b, and DEG2RAD.

Referenced by surfaceFlatRefractiveIndex().

◆ invplanck()

Numeric invplanck	(	const Numeric &	i,
		const Numeric &	f
	)

invplanck

Converts a radiance to Planck brightness temperature.

Parameters

[in]	i	Radiance.
[in]	f	Frequency.

Returns: Planck brightness temperature.

Author: Patrick Eriksson

Date: 2002-08-11

Definition at line 162 of file physics_funcs.cc.

References a, ARTS_USER_ERROR_IF, b, BOLTZMAN_CONST, PLANCK_CONST, and SPEED_OF_LIGHT.

Referenced by apply_iy_unit().

◆ invrayjean()

Numeric invrayjean	(	const Numeric &	i,
		const Numeric &	f
	)

invrayjean

Converts a radiance to Rayleigh-Jean brightness temperature.

Parameters

[in]	i	Radiance.
[in]	f	Frequency.

Returns: RJ brightness temperature.

Author: Patrick Eriksson

Date: 2000-09-28

Definition at line 184 of file physics_funcs.cc.

References a, ARTS_USER_ERROR_IF, BOLTZMAN_CONST, and SPEED_OF_LIGHT.

Referenced by apply_iy_unit(), apply_iy_unit2(), cloudbox_fieldUpdateSeq1D(), doit_conv_flagAbsBT(), doit_conv_flagLsq(), and MCGeneral().

◆ number_density()

constexpr Numeric number_density	(	Numeric	p,
		Numeric	t
	)

constexprnoexcept

number_density

Calculates the atmospheric number density.

Parameters

[in]	p	Pressure.
[in]	t	Temperature.

Returns: Number density.

Author: Patrick Eriksson

Date: 2000-04-08

Definition at line 70 of file physics_funcs.h.

References Constant::k.

Referenced by abs_xsec_per_speciesAddCIA(), lm_hitran_2017::compabs(), LineShape::compute(), dxdvmrscf(), Absorption::LineMixing::ecs_absorption_impl(), GasAbsLookup::Extract(), gas_scattering_coefAirSimple(), gas_scattering_coefXsecConst(), propmat_clearskyAddCIA(), propmat_clearskyAddConts(), propmat_clearskyAddXsecFit(), rtmethods_jacobian_finalisation(), vmrunitscf(), and x2artsAtmAndSurf().

◆ planck() [1/3]

Vector planck	(	const ConstVectorView &	f,
		const Numeric &	t
	)

planck

Calculates the Planck function for a single temperature and a vector of frequencies.

Note that this expression gives the intensity for both polarisations.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation.

Author: Patrick Eriksson

Date: 2015-12-15

Definition at line 254 of file physics_funcs.cc.

References b, ConstVectorView::nelem(), and planck().

◆ planck() [2/3]

Numeric planck	(	const Numeric &	f,
		const Numeric &	t
	)

planck

Calculates the Planck function for a single temperature.

Note that this expression gives the intensity for both polarisations.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation.

Author: Patrick Eriksson

Date: 2000-04-08

Definition at line 208 of file physics_funcs.cc.

References a, ARTS_USER_ERROR_IF, b, Constant::c, Constant::h, Constant::k, Math::pow2(), and Math::pow3().

Referenced by cloud_ppath_update1D_planeparallel(), cloud_RT_no_background(), get_stepwise_blackbody_radiation(), iySurfaceLambertian(), MatrixCBR(), MatrixPlanck(), MCGeneral(), nlte_sourceFromTemperatureAndSrcCoefPerSpecies(), planck(), regrid_star_spectrum(), starsAddSingleBlackbody(), surface_specular_R_and_b(), surfaceBlackbody(), surfaceFastem(), surfaceFlatReflectivity(), surfaceFlatRvRh(), surfaceFlatScalarReflectivity(), and surfaceLambertianSimple().

◆ planck() [3/3]

void planck	(	VectorView	b,
		const ConstVectorView &	f,
		const Numeric &	t
	)

planck

Calculates the Planck function for a single temperature and a vector of frequencies.

Note that this expression gives the intensity for both polarisations.

Parameters

[in]	f	Frequency.
[in]	t	Temperature.

Returns: Blackbody radiation.

Author: Patrick Eriksson

Date: 2015-12-15

Definition at line 233 of file physics_funcs.cc.

References ARTS_USER_ERROR_IF, b, ConstVectorView::nelem(), and planck().

◆ rayjean()

Numeric rayjean	(	const Numeric &	f,
		const Numeric &	tb
	)

rayjean

Converts a Rayleigh-Jean brightness temperature to radiance

Parameters

[in]	tb	RJ brightness temperature.
[in]	f	Frequency.

Returns: Radiance.

Author: Patrick Eriksson

Date: 2011-07-13

Definition at line 380 of file physics_funcs.cc.

References a, ARTS_USER_ERROR_IF, BOLTZMAN_CONST, and SPEED_OF_LIGHT.

◆ refice_()

Complex refice_	(	const Numeric &	wavlen,
		const Numeric &	temp
	)

Calculates complex refractive index of Ice 1H.

Valid range for wavelengths is between 45 nm and 8.6 m. For wavelengths above 167 microns, temperature dependence is included for temperatures between 213 and 272K. Mainly intended for applications in Earth ice clouds and snow, not other planets or interstellar space; the temperature dependence or crystalline form of ice may be incorrect for these latter applications.

Authors of Fortran function:
Stephen Warren, Univ. of Washington (1983)
Bo-Cai Gao, JCESS, Univ. of Maryland (1995)
Warren Wiscombe, NASA Goddard (1995)

References:
Warren, S., 1984: Optical Constants of Ice from the Ultraviolet to the Microwave, Appl. Opt. 23, 1206-1225

Kou, L., D. Labrie, and P. Chylek, 1994: Refractive indices of water and ice in the 0.65- to 2.5-micron spectral range, Appl. Opt. 32, 3531-3540

Perovich, D., and J. Govoni, 1991: Absorption Coefficients of Ice from 250 to 400 nm, Geophys. Res. Lett. 18, 1233-1235

Parameters

[in]	wavlen	Wavelength in microns
[in]	temp	Temperature in Kelvin

returns Refractive index as complex number

Functions

Detailed Description

Function Documentation

◆ barometric_heightformula()

◆ dinvplanckdI()

◆ dnumber_density_dt()

◆ dplanck_df() [1/2]

◆ dplanck_df() [2/2]

◆ dplanck_dt() [1/3]

◆ dplanck_dt() [2/3]

◆ dplanck_dt() [3/3]

◆ fresnel()

◆ invplanck()

◆ invrayjean()

◆ number_density()

◆ planck() [1/3]

◆ planck() [2/3]

◆ planck() [3/3]

◆ rayjean()

◆ refice_()