The two dimensional Cerenkov radiation

TL;DR

This paper derives the power spectrum of Cerenkov radiation emitted by charged particles moving near dielectric 2D materials like graphene-like structures, expanding understanding of radiation in novel media.

Contribution

It provides a theoretical derivation of Cerenkov radiation in dielectric 2D materials using Schwinger theory, applicable to graphene with ions or 2D-glasses.

Findings

Derived the power spectrum of Cerenkov radiation in 2D dielectric media

Showed the potential for experimental realization in graphene-like structures

Applied Schwinger theory to analyze radiation in novel 2D materials

Abstract

We derive the power spectrum of photons generated by charged particle moving in parallel direction to the graphene-like structure with index of refraction n. While the graphene sheet is conductive, some graphene-like structures, for instance graphene with implanted ions, or, also 2D-glasses, are dielectric media, and it means that it enables the experimental realization of the Cerenkov radiation. We calculate it from the viewpoint of the Schwinger theory of sources.