Probing modified plasma waves in non-linear electrodynamics

Abstract

Properties of modified plasma waves in non-linear electrodynamics are investigated. We consider a cold, uniform, collisionless, and magnetized plasma model. Initially, we also assume small amplitude waves and the non-relativistic approximation. For electrostatic waves, we obtain a modified Trivelpiece-Gould dispersion relation with a suitable change in the plasma frequency and analyze the stability of modes. Furthermore, electromagnetic waves related to the generalized Appleton-Hartree equation are established. In this case, we discuss modifications in circularly polarized waves, ordinary and extraordinary modes. After that, we apply our results to particular cases of low-energy quantum electrodynamics and a generalized Born-Infeld model. The correspondent dispersion relations and effects on the propagation regions are determined. Finally, we include the relativistic and large amplitude effects for circularly polarized waves. We obtain the dispersion relation within effective non-linear electrodynamics and examine the behavior of the refractive index when the frequency of the propagating wave converges to the plasma frequency.

In this version, the Introduction is improved. We add a new Section IV, where the relativistic and large amplitude effects are incorporated

References in corpus (17)

• Nonlinear collective effects in photon-photon and photon-plasma interactions
• Advances in QED with intense background fields
• Charged particle motion and radiation in strong electromagnetic fields
• Asymptotic charged BTZ black hole solutions
• Asymptotic Reissner-Nordstrom black holes
• Introductory Notes on Non-linear Electrodynamics and its Applications
• Probing vacuum polarization effects with high-intensity lasers
• Quantum Electrodynamical Photon Splitting in Magnetized Nonlinear Pair Plasmas
• Remarks on nonlinear Electrodynamics
• Light-by-Light Scattering at Future $e^{+}{e}^{-}$ Colliders
• Dispersion Relations in Non-Linear Electrodynamics and the Kinematics of the Compton Effect in a Magnetic Background
• First search for exclusive diphoton production at high mass with tagged protons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Circularly polarized waves in a plasma with vacuum polarization effects
• Exploring Born-Infeld electrodynamics using plasmas
• The axion-photon mixing in non-linear electrodynamic scenarios
• Considerations on anomalous photon and Z-boson self-couplings from the Born-Infeld weak hypercharge action
• Modified plasma waves described by a logarithmic electrodynamics