Smith-Purcell Radiation

TL;DR

This paper models Smith-Purcell radiation by analyzing a magnetized, infinitely thin electron beam and deriving fundamental equations for its periodic solutions within a self-consistent electromagnetic framework.

Contribution

It introduces a simplified model of the electron beam and derives basic equations governing its periodic electromagnetic solutions.

Findings

Derived fundamental equations for the system.

Identified conditions for periodic solutions.

Provided a theoretical basis for Smith-Purcell radiation analysis.

Abstract

The simplest model of the magnetized infinitely thin electron beam is considered. The basic equations that describe the periodic solutions for a self-consistent system of a couple of Maxwell equations and equations for the medium are obtained.