Statistical properties of Cherenkov and quasi-Cherenkov superradiance

TL;DR

This paper investigates how shot noise and particle energy spread influence the statistical characteristics of Cherenkov and quasi-Cherenkov superradiance emitted by relativistic electron beams, revealing the impact on power and growth time.

Contribution

It provides a detailed analysis of the effects of shot noise and energy spread on superradiance, highlighting conditions that cause power drops at high currents.

Findings

Root-mean-square deviations depend on particle number.

Energy spread causes sharp power decline at high currents.

Power and growth time are sensitive to shot noise and energy distribution.

Abstract

We consider the effects of shot noise and particle energy spread on statistical properties of Cherenkov and quasi-Cherenkov superradiance emitted by a relativistic electron beam. In the absence of energy spread, we have found the root-mean-square deviations of both peak radiated power and instability growth time as a function of the number of particles. It is shown that energy spread can lead to a sharp drop in the radiated power of Cherenkov and quasi-Cherenkov superradiance at high currents.