About maximum energy acquired by a charged particles in the field of a plane electromagnetic wave

TL;DR

This paper investigates the maximum energy gain of a relativistic charged particle in a plane electromagnetic wave, analyzing energy dependence on phase, maximum energy, acceleration length and time, and transverse displacement.

Contribution

It provides a detailed analysis of the energy limits and dynamics of relativistic particles in electromagnetic waves, including maximum energy and displacement calculations.

Findings

Maximum particle energy during acceleration is determined.

Dependence of energy on phase coordinate is characterized.

Acceleration length and time are quantified.

Abstract

The energy characteristics of a relativistic charged particle in the field of a plane electromagnetic wave of a given amplitude are studied. The dependence of the particle's energy on its phase coordinate is obtained. The maximum value of the particle's energy during acceleration, as well as the acceleration length and time, are determined. The transverse displacement of the particle over the maximum acceleration length is determined.