Abstract
A theory of two-dimensional non-radiative (Coulomb) plasmon-excitons in metal and semiconductor nanolayers located nearby is presented. Electrodynamics of damped harmonic oscillators is developed for polarization waves related to Coulomb plasmons, excitons and mixed (hybrid) plasmon-excitons excited via the near field of an external oscillating dipole. For polarization fields of the collective electronic excitations in question, the equations of motion are deduced within the classical electrodynamics with the constitutive relations conditioned by quantum theory. The dispersion relations derived for the normal plasmon-exciton modes are found to reveal the anticrossing effect due to resonant energy interchange between plasmons and excitons. The time-dependent regimes of excitation and relaxation of the two-dimensional plasmon-excitons are thoroughly investigated in terms of the forced steady and concomitant transient waves. The developed analytical theory reveals practically valuable dynamical analogies of plasmon-excitons with some other kinds of mixed modes known for various objects of linear oscillations theory.
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