Waves, Solitons and Turbulence in Optical Systems - Abstract

Rosanov, Nikolay

Localized structures of matter and light waves in dynamical cavities

The main features of localized structures (oscillons) of matter waves (Bose-Einstein condensates, BECs) and electromagnetic waves in dynamical cavities or traps including oscillating mirrors (walls) are discussed and compared. BECs are described initially with the Gross-Pitaevskii equation; presented is also an approximate approach of the ?Newton equations? for dynamics of oscillons? center. Dynamics of ?longitudinal? oscillons, with nonlinear localization along the cigar-like trap axis, is compared with that in the Fermi?Ulam and Fermi?Pasta?Ulam problems. For ?transverse? oscillons analyzed are their internal modes and their interaction. Structures of electromagnetic radiation are described with the classical Maxwell equations with proper boundary conditions. Effect of localization of electromagnetic radiation in dynamical cavities arises even without nonlinear media due to parametric processes. Here important is the form of the frequency dependence of cavity mirrors? reflectivity. Presented is generation of uni- and bipolar single and multiple pulses, depending on the cavity?s characteristics.