Oscillations of a dilute plasma with an arbitrary degree of inhomogeneity

Journal Article · Sun Sep 01 04:00:00 EDT 1963 · Nuclear Fusion

DOI:https://doi.org/10.1088/0029-5515/3/3/006· OSTI ID:4077659

Arsenin, V. V.

Neglecting collisions, an operator is found for the dielectric permeability tensor of a rarified, inhomogeneous plasma in a magnetic field. The initial set of equations consists of kinetic equations with a self-consistent field for electrons and ions and Maxwell's equations for an electromagnetic field. Neglecting magnetic-field inhomogeneity, the unperturbed distribution function is chosen as a product of Maxwell's function and the arbitrary function from the position of the center of the Larmor circle described by a particle in a plane perpendicular to the magnetic field. In contrast to the usual setup of the problem, no limitation is imposed on the smallness of unperturbed density gradients so that the characteristic dimension of inhomogeneity can be compared to the Larmor radii of the particles. The equations obtained for electromagnetic- wave distribution in inhomogeneous plasma represent a system of integral equations for the Fourier components of the electric field. These equations are investigated in simple cases. Both an ordinary wave propagating across a magnetic field and potential perturbations have been examined.

• Research Organization: Inst. of Engineering and Physics, Moscow
• Sponsoring Organization: USDOE
• NSA Number: NSA-18-015376
• OSTI ID: 4077659
• Journal Information: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 3 Vol. 3; ISSN 0029-5515
• Publisher: IOP Science
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

DIELECTRICS
DIFFERENTIAL EQUATIONS
ELECTRIC POTENTIAL
ELECTROMAGNETIC FIELDS
ELECTROMAGNETIC WAVES
ELECTROMAGNETISM
ELECTRONS
EQUATIONS
IONS
MAGNETIC FIELDS
MAXWELL EQUATIONS
PHYSICS
PLASMA
SUSCEPTIBILITY
TENSORS
VECTORS