On the dispersion characteristics of relativistic obliquely propagating Bernstein wave in a degenerate electron plasma

Abstract

The dispersion characteristics of obliquely propagating electrostatic Bernstein wave in a relativistic degenerate electron plasma is markedly different from perpendicular one. Employing linearized Vlasov-Maxwell model, the dispersion relation of obliquely propagating Bernstein wave in a relativistic degenerate electron plasma is derived. In particular, the results are obtained in the propagation range kz > kx with kx≠0. In the high frequency (ω > > k.v) and weak propagation (Ω>>k.v or k → 0) limiting cases, the generalized results reduce to the Upper hybrid wave for θ′ = 00 and Langmuir wave for θ′ = 900 (where Ω is the gyro-frequency and θ′ is the propagation angle of k with respect to x-axis). Graphical analysis is also performed to highlight the new trends in wave spectra.

Oblique Bernstein wave propagation in electron‐ion plasma with electron quantization effects

“…Damping of such oblique Bernstein waves have been reported and verified experimentally. [33] However, to the best of our knowledge, a limited literature is available [34,35] that studies oblique Bernstein waves incorporating quantum effects. Reference [34] presents the study of relativistic oblique Bernstein waves in degenerate plasmas but authors did not address the damping nature of these waves.…”

“…[ 33 ] However, to the best of our knowledge, a limited literature is available [ 34,35 ] that studies oblique Bernstein waves incorporating quantum effects. Reference [34] presents the study of relativistic oblique Bernstein waves in degenerate plasmas but authors did not address the damping nature of these waves. Reference [35] studies the damping of surface Bernstein modes using random phase approximation for degenerate magnetoplasma gas and authors reported the decay rate of $$$ n=2 $$$ surface Bernstein‐mode in detail.…”

Variation in the propagation characteristics of extraordinary mode with density, magnetic field and temperature in a relativistic plasma environment

“…The fusion experiment like ITER (International Thermonuclear Experimental Reactor) is the best example of a relativistic plasma where a particle can achieve relativistic velocity due to heating which is necessary to attain the temperature required for fusion [7][8][9][10][11]. Also, the synchrotron emission observed from radio galaxies and high energy x-rays and γ-rays from these sources confirm the existence of relativistic electrons in these naturally occurring plasma environments [12][13][14][15].…”