Abstract
The excitation and propagation of plasmon–polariton modes are considered at a single interface of a dielectric medium and metal in linear and nonlinear regimes. Physical mechanisms of the emergence of a nonlinear response of free electrons in the metal based on the quantum hydrodynamic model are described. It is shown that the period and profile of the envelope of a cnoidal wave of surface plasmon–polaritons in the nonlinear regime change, depending on the conditions of excitation and the energy density of the exciting electromagnetic wave.
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