An electron as a wave packet in the relativistic strophotron fel

TL;DR

This paper investigates the initial vibrational level distribution of electrons in a relativistic strophotron free-electron laser, linking it to initial beam parameters to understand electron behavior.

Contribution

It provides a new method to express vibrational level populations based on initial electron beam parameters in a relativistic FEL.

Findings

Vibrational levels can be calculated from initial beam parameters.

Distribution of electrons over vibrational levels is characterized.

Theoretical framework for initial electron distribution in FELs.

Abstract

We study the initial distribution of electrons in relativistic strophotron FEL over vibrational levels determined by the expansion coefficients. We show the quantity of the vibrational level can be expressed in terms of the initial parameters of the electron beam.