BOUNDARY VALUE PROBLEMS IN PLASMA OSCILLATIONS (thesis)

Technical Report · Mon Jan 01 04:00:00 EST 1962

OSTI ID:4727373

Shure, F C

A unified treatment is presented for boundary value problems involving a plasma whose singlet phase-space density satisfies the linearized form of the Landau-Vlasov equation. A normal mode expansion is used in the singular eigenfunctions of the coupled Maxwell and Landau-Vlasov equations. The various derivations of the Vlasov equation are outlined. Normal-mode solutions of the coupled equations are derived for the case of transverse waves of fixed frequency. Reflection of electromagnetic radiation from a plasma half-space and slab is considered along with the case where the plasma is located in a steady-state magnetic field. Other problems considered are the initial value problem for transverse modes, Landau damping, and longitudinal oscillations. (D.L.C.)

• Research Organization: Michigan. Univ., Ann Arbor
• NSA Number: NSA-17-009683
• OSTI ID: 4727373
• Report Number(s): NP-12456
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOUNDARY CONDITIONS
DENSITY
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
ELECTRODYNAMICS
ELECTROMAGNETIC WAVES
ELECTRONS
FREQUENCY
LANDAU DAMPING
LOSSES
MAGNETIC FIELDS
MATHEMATICS
MAXWELL EQUATIONS
OSCILLATIONS
PHASE SPACE
PHYSICS
PLASMA
PLATES
REFLECTION
SURFACES