Hot plasma modes across Reissner–Nördstrom–de Sitter horizon in a Veselago medium

We investigate wave attributes of hot plasma around a Reissner–Nördstrom–de Sitter (RN-dS) metric in a Veselago medium. A perturbation scheme is implemented on general relativistic magnetohydrodynamical (GRMHD) equations that are further used for Fourier analysis. The linearly perturbed Fourier-analyzed GRMHD equations depict the dispersion of hot plasma waves. It is found that inclusion of charge in de Sitter space greatly affects the wave dispersion. A comparison of wave properties is presented, and results reassert the presence of the Veselago medium.

Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept

If a scatterer and an observation point (receive) both approach the so-called near field zone of a source of electromagnetic waves, the scattering process becomes singular one which is mathematically attributed to the spatial singularity of the free space Green function at the origin. Starting from less well known property of left-handed material slab to transfer the singularity of the free space Green function by implementing coordinate transformation, we present a phenomenon of virtual singular scattering of electromagnetic wave on an inhomogeneity located in the volume of left – handed material slab. Virtual singular scattering means that a scatterer is situated only virtually in the near field zone of a source, being, in fact, positioned in the far field zone. Such a situation is realized if a scatterer is embedded into a flat Veselago’s lens and approaches the lens’s inner focus because a slab of Veselago medium produces virtual sources inside and behind the slab and virtual scatterer (as a source of secondary waves) from both slab sides. Considering a line-like dielectric scatterer we demonstrate that the scattering efficiency is proportional to product of singular quasistatic parts of two empty space Green functions that means a multiplicative quasistatic singularity of the Green function for a slab of inhomogeneous Veselago medium. We calculate a resonance value of the scattering amplitude in the regime similar to the known Mie resonance scattering.

Dispersion modes of hot plasma for a Schwarzschild – de Sitter horizon in a Veselago medium

Herein, we analyze the dispersion modes of hot plasma around the Schwarzschild – de Sitter event horizon in the presence of a Veselago medium (left-handed). For this purpose, we apply Arnowitt, Deser, and Misner 3+1 formalism to develop general relativistic magnetohydrodynamics (GRMHD) equations for the Schwarzschild – de Sitter space–time. Implementation of linear perturbation yields perturbed GRMHD equations that are used for the Fourier analysis of rotating (nonmagnetized and magnetized) plasma. Wave analysis is described by the graphical representation of the wave vector, refractive index, change in refractive index, and phase and group velocities. The outcome of this work supports the validity of a Veselago medium.

Wave properties of isothermal magneto-rotational fluids

In this paper, the isothermal plasma-wave properties in the neighborhood of the pair-production region for the Kerr black-hole magnetosphere are discussed. We consider the Fourier-analyzed form of the perturbed general relativistic magnetohydrodynamical equations whose determinant leads to a dispersion relation. For the special scenario, the x-components of the complex wave vectors are calculated numerically. Respective components of the propagation vector, attenuation vector, phase and group velocities are shown in graphs. We have investigated, in particular, the existence of a Veselago medium and wave behavior (modes of waves dispersion).