Surface waves at a vacuum—plasma interface

In this paper we propose an exact solution of Vlasov and Maxwell's equations for a bounded hot plasma in order to derive the dispersion relation of the axially-symmetric surface waves propagating along a plasma column. Assuming specular reflexion of plasma particles from the boundary, expressions for the components of the electric displacement vector are obtained on the basis of the Vlasov equation. Their substitution in Maxwell's equations, neglecting the spatial dispersion in the transverse plasma dielectric function, allows us to determine the plasma impedance. The equating of plasma and dielectric impedances gives the wave dispersion relation which, in different limiting cases, coincides with the well-known results.

show abstract

“…where k = (k 2 + & 2 )*. The same dispersion relation is derived also by Barr & Boyd (1972) and Clemmow & Elgin (1974).…”

Section: Solution Of Vlasov-maxwell's Set Of Equationssupporting

confidence: 83%

“…The physical essence of the surface waves has been expounded in detail in two recent papers by Clemmow & Elgin (1974,1975. A circumstantial history of the investigations of surface wave propagation in a hot semi-bounded plasma is given by Barr & Boyd (1972).…”

Section: Atanassov and Othersmentioning

confidence: 99%

Kinetic theory of surface wave propagation along a hot plasma column

et al. 1976

View full text Add to dashboard Cite

show abstract

“…Integrating (14) along the trajectories v g constY we find (Clemmow 1974) v z n g 1 n 2 0 1 2 21 n 2 g n 2 0 q 1 n 2 g n 2 0 g n 2 g 1 2 21 n 2 g n 2 0 q n 2 g 2 1 Y 16…”

Section: Ov E Rt U R N O F L a E M W Smentioning

confidence: 99%

Gamma-ray bursts from unstable Poynting-dominated outflows

Lyutikov

Blackman

2001

Monthly Notices of the Royal Astronomical Society

View full text Add to dashboard Cite

Poynting‐flux driven outflows from magnetized rotators are a plausible explanation for gamma‐ray burst engines. We suggest a new possibility for how such outflows might transfer energy into radiating particles. We argue that, in a region near the rotation axis, the Poynting flux drives non‐linearly unstable large‐amplitude electromagnetic waves (LAEMW) that ‘break’ at radii where the MHD approximation becomes inapplicable. In the ‘foaming’ (relativistically reconnecting) regions formed during the wave breaks, the random electric fields stochastically accelerate particles to ultrarelativistic energies which then radiate in turbulent electromagnetic fields. The typical energy of the emitted photons is a fraction of the fundamental Compton energy with plus additional boosting due to the bulk motion of the medium. The emission properties are similar to synchrotron radiation, with a typical cooling time ∼10−3 s. During the wave break, the plasma is also bulk accelerated in the outward radial direction and at larger radii can produce afterglows due to interactions with the external medium. The near equipartition fields required by afterglow models may be due to magnetic field regeneration in the outflowing plasma (similar to field generation by LAEMW in laser–plasma interactions) and mixing with the upstream plasma.

show abstract

“…The linear theory of surface wave propagation on the interface separating a plasma and a dielectric or vacuum has been known for some time (Trivelpiece & Gould 1959;Ritchie 1963;Vedenov 1964;Guernsey 1969;Clemmow & Elgin 1974). In particular, Vedenov (1964) has shown the existence of cold plasma surface waves at frequencies ranging from co = Wj, e /2i (<o pe is the electron plasma frequency) down tow = 0.…”

Section: Introductionmentioning

confidence: 99%