SEMICLASSICAL 
        THEORY OF GRAPHENE SPASER
         
        
        I.A. Nechepurenko1,2, 
        A.V. Dorofeenko1,2,3, Yu.E. Lozovik1,2,3,4,5
        
        
        1 
        All-Russia Research Institute of Automatics
        
        
        2 Moscow 
        Institute of Physics and Technology
        
        
        3 Institute 
        for Theoretical and Applied Electromagnetics RAS
        
        
        4 Institute 
        of Spectroscopy of the RAS
        
        
        5 National 
        Research Nuclear University MEPhI
        
         
        
The paper is received on  on December 
7, 2015
        
        
        
 
Abstract: 
        
In the present paper graphene nanoflake generator (spaser) is 
considered. Consistent derivation of main equations for the description of 
graphene spaser dynamics with the account of the material dispersion is 
provided. Single-mode equations and rate equations are derived. Explicit 
expressions for the parameters in the equations are obtained. Numerical values 
of these parameters, which describe graphene spaser dynamics, are given.
        
        
        
Keywords: 
        
plasmonic generator, graphene plasmonics, graphene spaser, 
Maxwell-Bloch equations, rate equations.