“ABC”-Free Theory of Polariton: From Semi-Infinite Medium to Quantum Well

Abstract

A new theoretical scheme is proposed for polaritons in bounded media, from a semi-infinite system to a quantum well. For each specific model, this theory allows a direct calculation of the electric field E(r) of polaritons without referring to any additional boundary condition (ABC). For a thick enough sample, bulk polaritons emerge automatically in the expression of E(r). Applications are shown in two simple cases; (i) a single quantum well, and (ii) a semi-infinite medium with simple exciton wave functions.