Different kinds of accelerated propagation of relativistic electromagnetic plasma wavepackets

TL;DR

This paper explores various accelerating solutions of relativistic electromagnetic plasma waves, demonstrating how different plasma conditions lead to diverse wavepacket behaviors, including Airy, Weber, and arbitrary accelerations.

Contribution

It introduces new classes of accelerating wavepacket solutions in plasma physics, expanding the understanding of wave dynamics under different plasma frequency profiles.

Findings

Multiple types of accelerating wavepackets are derived, including Airy and Weber functions.

Arbitrary accelerated wavepackets are possible in systems with luminal plasma slabs.

The solutions depend on the spatial and temporal plasma frequency dependence.

Abstract

Relativistic electromagnetic plasma waves are described by a dynamical equation that can be solved not only in terms of plane waves, but for several different accelerating wavepacket solutions. Depending on the spatial and temporal dependence of the plasma frequency, different kinds of accelerating solution can be obtained, for example, in terms of Airy or Weber functions. Also, we show that an arbitrary accelerated wavepacket solution is possible, for example, for a system with a luminal plasma slab.