Nonlocal surface plasmon spectrum in quantizing magnetic field: Surface Bernstein mode branch (n=2)

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

“…Iqbal et al [ 28 ] studied Bernstein waves in a degenerate anisotropic plasma environment and reported that both the quantum diffraction effects and Fermi temperature anisotropy effects make the Bernstein modes oscillatory, depending upon the ratio $$$ {\omega}_{pe}/{\omega}_{ce} $$$. The effect of quantizing magnetic field on the Bernstein mode in quantum plasma systems has been studied in References [29–31] using random phase approximation technique, but these findings are valid for low wavenumbers with singularity appears at $$$ {\left(n{\omega}_{ce}\right)}^2\approx {\omega}_{pe}^2+{\omega}_{ce}^2 $$$.…”

“…Iqbal et al [28] studied Bernstein waves in a degenerate anisotropic plasma environment and reported that both the quantum diffraction effects and Fermi temperature anisotropy effects make the Bernstein modes oscillatory, depending upon the ratio 𝜔 pe ∕𝜔 ce . The effect of quantizing magnetic field on the Bernstein mode in quantum plasma systems has been studied in References [29][30][31] using random phase approximation technique, but these findings are valid for low wavenumbers with singularity appears at (n𝜔 ce ) 2 ≈ 𝜔 2 pe + 𝜔 2 ce . Most of the literature on EBW deals with exactly perpendicular propagation of these modes (k ⊥ ≠ 0 and k ∥ = 0) and consequently such waves do not exhibit wave-damping characteristics.…”