Abstract

AbstractThe electrodynamics of a two‐band semiconductor with a direct gap is governed by a set of non‐linear constitutive equations which are an appropriate generalization of the Maxwell‐Bloch equations for two‐level atoms. The following quantities are connected by these equations: density matrices for electrons and holes, coherent exciton amplitudes, and self‐consistent fields. The equations are derived from a standard two‐band Hamiltonian by a thorough analysis of localization properties of electromagnetic quantities. As limiting cases the theory comprises: linear exciton polariton theory, self‐consistent field theory ofthe electron gas, Maxwell‐Bloch treatment of two‐level atoms.

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