physics::gas::atmosphere Namespace Reference

Atmosphere-related functions. More...

Namespaces
	density
	Atmospheric density functions.

Functions
template<class T >
T	polarization (T ior, T density)
	Calculates a particle polarizability factor. More...
template<class T >
T	scattering (T density, T polarization, T wavelength)
	Calculates a wavelength-dependent scattering coefficient. More...
template<class T >
T	scattering (T density, T polarization)
	Calculates a wavelength-independent scattering coefficient. More...
template<class T >
T	absorption (T scattering, T albedo)
	Calculates an absorption coefficient. More...
template<class T >
T	extinction (T scattering, T albedo)
	Calculates an extinction coefficient. More...
template<class T >
T	optical_depth_exp (const math::vec3< T > &a, const math::vec3< T > &b, T r, T sh, std::size_t n)
	Approximates the optical depth of exponentially-distributed atmospheric particles between two points using the trapezoidal rule. More...
template<class T >
T	optical_depth_tri (const math::vec3< T > &p0, const math::vec3< T > &p1, T r, T a, T b, T c, std::size_t n)
	Approximates the optical depth of triangularly-distributed atmospheric particles between two points using the trapezoidal rule. More...

Detailed Description

Atmosphere-related functions.

Function Documentation

absorption()

template<class T >

T physics::gas::atmosphere::absorption	(	T	scattering,
		T	albedo
	)

Calculates an absorption coefficient.

Parameters

scattering	Scattering coefficient.
albedo	Single-scattering albedo.

Returns

Absorption coefficient.

See also

https://en.wikipedia.org/wiki/Single-scattering_albedo

Definition at line 105 of file atmosphere.hpp.

extinction()

template<class T >

T physics::gas::atmosphere::extinction	(	T	scattering,
		T	albedo
	)

Calculates an extinction coefficient.

Parameters

scattering	Scattering coefficient.
albedo	Single-scattering albedo.

Returns

Extinction coefficient.

See also

https://en.wikipedia.org/wiki/Single-scattering_albedo

Definition at line 121 of file atmosphere.hpp.

optical_depth_exp()

template<class T >

T physics::gas::atmosphere::optical_depth_exp	(	const math::vec3< T > &	a,
		const math::vec3< T > &	b,
		T	r,
		T	sh,
		std::size_t	n
	)

Approximates the optical depth of exponentially-distributed atmospheric particles between two points using the trapezoidal rule.

Parameters

a	Start point.
b	End point.
r	Radius of the planet.
sh	Scale height of the atmospheric particles.
n	Number of samples.

Returns

Optical depth between a and b.

Definition at line 137 of file atmosphere.hpp.

optical_depth_tri()

template<class T >

T physics::gas::atmosphere::optical_depth_tri	(	const math::vec3< T > &	p0,
		const math::vec3< T > &	p1,
		T	r,
		T	a,
		T	b,
		T	c,
		std::size_t	n
	)

Approximates the optical depth of triangularly-distributed atmospheric particles between two points using the trapezoidal rule.

Parameters

p0	Start point.
p1	End point.
r	Radius of the planet.
a	Distribution lower limit.
b	Distribution upper limit.
c	Distribution upper mode.
n	Number of samples.

Returns

Optical depth between a and b.

Definition at line 174 of file atmosphere.hpp.

polarization()

template<class T >

T physics::gas::atmosphere::polarization	(	T	ior,
		T	density
	)

Calculates a particle polarizability factor.

Parameters

ior	Atmospheric index of refraction.
density	Molecular number density, in mol/m-3.

Returns

Polarizability factor.

See also

Elek, O., & Kmoch, P. (2010). Real-time spectral scattering in large-scale natural participating media. Proceedings of the 26th Spring Conference on Computer Graphics - SCCG ’10. doi:10.1145/1925059.1925074

Elek, Oskar. (2009). Rendering Parametrizable Planetary Atmospheres with Multiple Scattering in Real-Time.

Definition at line 45 of file atmosphere.hpp.

scattering() [1/2]

template<class T >

T physics::gas::atmosphere::scattering	(	T	density,
		T	polarization
	)

Calculates a wavelength-independent scattering coefficient.

Parameters

density	Molecular number density of the particles, in mol/m-3.
polarization	Particle polarizability factor.

Returns

Scattering coefficient.

See also

atmosphere::polarization

Elek, O., & Kmoch, P. (2010). Real-time spectral scattering in large-scale natural participating media. Proceedings of the 26th Spring Conference on Computer Graphics - SCCG ’10. doi:10.1145/1925059.1925074

Elek, Oskar. (2009). Rendering Parametrizable Planetary Atmospheres with Multiple Scattering in Real-Time.

Definition at line 89 of file atmosphere.hpp.

scattering() [2/2]

template<class T >

T physics::gas::atmosphere::scattering	(	T	density,
		T	polarization,
		T	wavelength
	)

Calculates a wavelength-dependent scattering coefficient.

Parameters

density	Molecular number density of the particles, in mol/m-3.
polarization	Particle polarizability factor.
wavelength	Wavelength of light, in meters.

Returns

Scattering coefficient.

See also

atmosphere::polarization

Elek, O., & Kmoch, P. (2010). Real-time spectral scattering in large-scale natural participating media. Proceedings of the 26th Spring Conference on Computer Graphics - SCCG ’10. doi:10.1145/1925059.1925074

Elek, Oskar. (2009). Rendering Parametrizable Planetary Atmospheres with Multiple Scattering in Real-Time.

Definition at line 69 of file atmosphere.hpp.