Graphene Spaser Description by Rate Equations

TL;DR

This paper derives and analyzes the rate equations governing a graphene-based surface plasmon polariton laser (spaser), addressing unique material dispersion effects and providing a foundation for understanding its dynamics.

Contribution

It presents a comprehensive derivation of the spaser's rate equations from Maxwell-Bloch equations, specifically tailored for graphene nanoflake implementation.

Findings

Derived explicit rate equations for graphene spaser dynamics

Estimated numerical parameters for graphene-based spaser

Addressed effects of material dispersion on spaser operation

Abstract

In this paper a surface plasmon polariton laser (spaser), which generates surface plasmons in graphene nanoflake, is considered. The peculiarities of spaser, such as strong material dispersion, require revision of basic laser equations. We provide a full derivation of equations of the spaser dynamics starting from the Maxwell-Bloch equations. Optical Bloch equations and rate equations are obtained and the relation of the equation parameters through the physical ones is given. In the case of graphene realization, the numerical parameter values are estimated.