Vacuum material properties and Cherenkov radiation in Logarithmic Electrodynamics

Abstract

We study some observational signatures of nonlinearities of the electromagnetic field. First to all we show the vital role played by nonlinearities in triggering a material behavior of the vacuum with $(\epsilon >0,\mu <0)$, which corresponds to a ferrimagnetic material. Secondly, the permittivity and susceptibility induced by nonlinearities are considered in order to obtain the refractive index via the dispersion relation for logarithmic electrodynamics. Finally, we consider the electromagnetic radiation produced by a moving charged particle interacting with a medium characterized by nonlinearities of the electromagnetic field. To this end we consider logarithmic electrodynamics. The result shows that the radiation is driven by the medium through which the particle travels like the one that happens in the Cherenkov effect.

8 pages

References in corpus (6)

• Detecting photon-photon scattering in vacuum at exawatt lasers
• Remarks on nonlinear Electrodynamics
• The DeLLight experiment to observe an optically-induced change of the vacuum index
• A note on nonlinear electrodynamics
• Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic media
• Remarks on inverse electrodynamics

Cited by in corpus (2)

• Very Special Relativity: Cherenkov Effect and an Analogy with Minkowski's Electrodynamics of Continuous Media
• Singular electromagnetic fields in nonlinear electrodynamics with a constant background field