Rassvetalov, L: Modeling of the Nonlinear Resonant Medium

Responses of the nonlinear resonant medium represented by a set of oscillators with various types of nonlinearity are investigated. The term ‘oscillator‘ here covers concepts such as separate micro particles or medium collective excitations - quasi-particles - under quantum-mechanical consideration, as well as molecules or even the macroscopic particles carrying all properties of the substance - in the classical approach. Solutions of the nonlinear equations of oscillator in the form of final Volterra series in the time and frequency domains, corresponding to anharmonicity, nonlinear attenuation and nonlinear excitation are received. Nonlinear effects will lead not to frequency mixing resulting in generation of oscillations with combinational frequencies, but to time mixing, i.e. to generation of signals at combinational instants of time. Attention is paid both to the duality of mediums under consideration and classical nonlinear circuits and to the opportunity of realization of signals real time processing in those mediums.