dispersion::hot_plasma< T, Z, SAFE_MATH > Class Template Reference

Hot Plasma Disperison function. More...

#include <dispersion.hpp>

Inheritance diagram for dispersion::hot_plasma< T, Z, SAFE_MATH >:

Public Member Functions
virtual graph::shared_leaf< T, SAFE_MATH >	D (graph::shared_leaf< T, SAFE_MATH > w, graph::shared_leaf< T, SAFE_MATH > kx, graph::shared_leaf< T, SAFE_MATH > ky, graph::shared_leaf< T, SAFE_MATH > kz, graph::shared_leaf< T, SAFE_MATH > x, graph::shared_leaf< T, SAFE_MATH > y, graph::shared_leaf< T, SAFE_MATH > z, graph::shared_leaf< T, SAFE_MATH > t, equilibrium::shared< T, SAFE_MATH > &eq)
	Hot Plasma Disperison function.

Additional Inherited Members
Public Types inherited from dispersion::dispersion_function< T, SAFE_MATH >
typedef T	base
	Type def to retrieve the backend base type.
Static Public Attributes inherited from dispersion::dispersion_function< T, SAFE_MATH >
static constexpr bool	safe_math = SAFE_MATH
	Retrieve template parameter of safe math.
Protected Attributes inherited from dispersion::physics< T, SAFE_MATH >
const T	epsion0 = 8.8541878138E-12
	Vacuum permitivity.
const T	mu0 = M_PI*4.0E-7
	Vacuum permeability.
const T	q = 1.602176634E-19
	Fundamental charge.
const T	me = 9.1093837015E-31
	Electron mass.
const T	c = static_cast<T> (1.0)/std::sqrt(epsion0*mu0)
	Speed of light.

Detailed Description

template<jit::complex_scalar T, z_func Z, bool SAFE_MATH = false>
class dispersion::hot_plasma< T, Z, SAFE_MATH >

Hot Plasma Disperison function.

Member Function Documentation

D()

template<jit::complex_scalar T, z_func Z, bool SAFE_MATH = false>

virtual graph::shared_leaf< T, SAFE_MATH > dispersion::hot_plasma< T, Z, SAFE_MATH >::D ( graph::shared_leaf< T, SAFE_MATH >  w, graph::shared_leaf< T, SAFE_MATH >  kx, graph::shared_leaf< T, SAFE_MATH >  ky, graph::shared_leaf< T, SAFE_MATH >  kz, graph::shared_leaf< T, SAFE_MATH >  x, graph::shared_leaf< T, SAFE_MATH >  y, graph::shared_leaf< T, SAFE_MATH >  z, graph::shared_leaf< T, SAFE_MATH >  t, equilibrium::shared< T, SAFE_MATH > &  eq  )

inlinevirtual

Hot Plasma Disperison function.

D = iσΓ0 + Γ1 + n⟂^2P⍵/Ωe(1 + ζZ(ζ))(Γ2 + Γ5F) (1)

Γ0 = n⟂^2(n^2 - 2(1 - 2q)) + (1 - P)(2(1 - 2q) - (n^2 + n||^2)) (2)

Γ1 = n⟂^2((1 - q)n^2 - (1 - 2q))

• (1 - P)(n^2n||^2 - (1 - q)(n^2 + n||^2) + (1 - 2q)) (3)

Γ2 = (n^2 - (1 - 2q)) + P⍵/(4Ωen||^2)((n^2 + n||^2) - 2(1 - 2q)) (4)

Γ5 = n^2n||^2 - (1 - q)(n^2 + n||^2) + (1 - 2q) (5)

iσ = PZ(ζ)/(2n||ve) (6)

ζ = (1 - Ωe/⍵)/(n||ve/c) (7)

F = ve(1 + ζZ(ζ))⍵/(2n||Ωe) (8)

P = ⍵pe^2/⍵^2 (9)

q = P/(2(1 + Ωe/⍵)) (10)

ve = Sqrt(2*ne*te/me) (11)

Parameters

[in]	w	Omega variable.
[in]	kx	Kx variable.
[in]	ky	Ky variable.
[in]	kz	Kz variable.
[in]	x	x variable.
[in]	y	y variable.
[in]	z	z variable.
[in]	t	Current time.
[in]	eq	The plasma equilibrium.

Implements dispersion::dispersion_function< T, SAFE_MATH >.

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

• graph_framework/dispersion.hpp