Properties of Finite Amplitude Electromagnetic Waves propagating in the Quantum Vacuum
We study two counter-propagating electromagnetic waves in the vacuum within the framework of the Heisenberg-Euler formalism in quantum electrodynamics. We show that the non-linear field equations decouple for ordinary wave case and can be solved exactly. We solve the non-linear field equations assum...
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creator | Kadlecová, Hedvika Bulanov, Sergei V Korn, Georg |
description | We study two counter-propagating electromagnetic waves in the vacuum within the framework of the Heisenberg-Euler formalism in quantum electrodynamics. We show that the non-linear field equations decouple for ordinary wave case and can be solved exactly. We solve the non-linear field equations assuming the solution in a form of a Riemann wave. We discuss the properties of the nonlinear electromagnetic wave propagating in the quantum vacuum, such as the wave steepening, subsequent generation of high order harmonics and electromagnetic shock wave formation with electron-positron pair generation at the shock wave front. |
doi_str_mv | 10.48550/arxiv.1902.04928 |
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subjects | Electromagnetic radiation Mathematical analysis Method of characteristics Perturbation theory Physics - High Energy Physics - Theory Physics - Plasma Physics Quantum electrodynamics Quantum theory Riemann waves Shock waves Wave equations Wave propagation |
title | Properties of Finite Amplitude Electromagnetic Waves propagating in the Quantum Vacuum |
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