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

#include "arts.h"
#include "complex.h"
#include "matpackI.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...

Numeric	number_density (const Numeric &p, const Numeric &t)
	number_density More...

Numeric	dnumber_density_dt (const Numeric &p, const Numeric &t)
	dnumber_density_dT More...

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

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

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

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

Numeric	dplanck_df (const Numeric &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 62 of file physics_funcs.cc.

References M.

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 98 of file physics_funcs.cc.

References BOLTZMAN_CONST, PLANCK_CONST, and SPEED_OF_LIGHT.

Referenced by apply_iy_unit2().

◆ dnumber_density_dt()

Numeric dnumber_density_dt	(	const Numeric &	p,
		const Numeric &	t
	)

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 243 of file physics_funcs.cc.

References BOLTZMAN_CONST.

Referenced by abs_coefCalcFromXsec(), and zeeman_on_the_fly().

◆ dplanck_df()

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.

Author: Richard Larsson

Date: 2015-09-15

Definition at line 407 of file physics_funcs.cc.

References BOLTZMAN_CONST, PLANCK_CONST, and SPEED_OF_LIGHT.

Referenced by nlte_sourceFromTemperatureAndSrcCoefPerSpecies().

◆ dplanck_dt() [1/2]

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.

Author: Richard Larsson

Date: 2015-09-15

Definition at line 337 of file physics_funcs.cc.

References BOLTZMAN_CONST, PLANCK_CONST, and SPEED_OF_LIGHT.

Referenced by dplanck_dt(), get_stepwise_blackbody_radiation(), nlte_sourceFromTemperatureAndSrcCoefPerSpecies(), and zeeman_on_the_fly().

◆ dplanck_dt() [2/2]

void dplanck_dt	(	VectorView	dbdt,
		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.

Author: Richard Larsson

Date: 2019-10-11

Definition at line 369 of file physics_funcs.cc.

References 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 135 of file physics_funcs.cc.

References 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 165 of file physics_funcs.cc.

References 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 192 of file physics_funcs.cc.

References BOLTZMAN_CONST, and SPEED_OF_LIGHT.

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

◆ number_density()

Numeric number_density	(	const Numeric &	p,
		const Numeric &	t
	)

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 219 of file physics_funcs.cc.

References BOLTZMAN_CONST.

Referenced by abs_coefCalcFromXsec(), dxdvmrscf(), rtmethods_jacobian_finalisation(), vmrunitscf(), x2artsAtmAndSurf(), xaStandard(), and zeeman_on_the_fly().

◆ planck() [1/2]

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 269 of file physics_funcs.cc.

References BOLTZMAN_CONST, PLANCK_CONST, and SPEED_OF_LIGHT.

Referenced by get_stepwise_blackbody_radiation(), MatrixCBR(), MatrixPlanck(), MCGeneral(), nlte_sourceFromTemperatureAndSrcCoefPerSpecies(), planck(), surface_specular_R_and_b(), surfaceBlackbody(), surfaceFastem(), surfaceFlatRvRh(), surfaceFlatScalarReflectivity(), surfaceLambertianSimple(), and zeeman_on_the_fly().

◆ planck() [2/2]

void planck	(	VectorView	b,
		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 299 of file physics_funcs.cc.

References 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 438 of file physics_funcs.cc.

References 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()

◆ dplanck_dt() [1/2]

◆ dplanck_dt() [2/2]

◆ fresnel()

◆ invplanck()

◆ invrayjean()

◆ number_density()

◆ planck() [1/2]

◆ planck() [2/2]

◆ rayjean()

◆ refice_()