Scattering characteristics of relativistically moving concentrically layered spheres

Abstract

The energy extinction cross section of a concentrically layered sphere varies with velocity as the Doppler shift moves the spectral content of the incident signal in the sphere's co-moving inertial reference frame toward or away from resonances of the sphere. Computations for hollow gold nanospheres show that the energy extinction cross section is high when the Doppler shift moves the incident signal's spectral content in the co-moving frame near the wavelength of the sphere's localized surface plasmon resonance. The energy extinction cross section of a three-layer sphere consisting of an olivine-silicate core surrounded by a porous and a magnetite layer, which is used to explain extinction caused by interstellar dust, also depends strongly on velocity. For this sphere, computations show that the energy extinction cross section is high when the Doppler shift moves the spectral content of the incident signal near either of olivine-silicate's two localized surface phonon resonances at 9.7 µm and 18 µm.

Four‐dimensional relativistic scattering of electromagnetic waves from an arbitrary collection of moving lossy dielectric spheres

“…By applying STR, EM scattered waves for different moving shapes such as dielectric medium [9,10] cylinder [11][12][13][14][15], conducting sphere [16], electrically small chiral sphere [17], small particle [18], perfectly conducting flat plate [19], rough surface [20], arbitrary obstacle [21][22][23][24][25][26][27], wedge [28,29] and half-plane [30][31][32] have been derived. Also, scattering characteristics (scattering cross-section, extinction and absorption) for a uniformly moving object [33] and a moving concentrically layered sphere [34] are discussed. The backscattered signal by a uniformly moving sphere considering the incident wave to be a pulsed plane wave, is investigated [35].…”