Fedotov F. Numerical investigation of nonstationary elec-trodynamic processes in active solid media

Object – non-stationary electrodynamic processes in bounded nonlinear and parametric media; goal – improvement of existing and development of new methods for investigating nonstationary electrodynamic processes in active layered media, including flat dielectric waveguides. Identification of principal electrodynamic properties of such structures, and analysis of an electromagnetic signal transformation inside those structures; methods - integral equations of the macroscopic electrodynamics, resolvent method, FDTD, numerical methods; results – the development of a new numeric-analytical method and the special software for automation of the numerical modeling and investigation. The software was used for the investigation of the transformation of different types of electromagnetic signals, including ultra-short pulses, in nonlinear and non-stationary in time slab, in the slab with moving boundaries, and in the non-stationary and nonlinear flat di-electric waveguide; novelty – for the first time, Volterraintegral equations method was developed for the nonlinear and parametric boundary value problems. The electrodynamic processes in the nonstationary dielectric waveguide were investigated. Also, the new method has been developed for the case with a nonlinear medium in the waveguide’s core; applica-tions – the methods and software developed in this study could be used for the investigation of the ultra-short optical pulses generation and transfor-mation using the nonlinear crystals or non-stationary optical fibers, higher harmonics generation in nonlinear media, for the development of the new modulation principles using temporal manipulation of the media proper-ties, for calculation of device parameters used in nonlinear media, and other; branches – optoelectronics, nonlinear and non-stationary electrody-namics, computational electrodynamics