Kūginių bangų nenuostovūs erdvėlaikiniai reiškiniai netiesinėse Kerro terpėse

Abstract

Thesis consists of introduction, followed by five main chapters and conclusions. Introduction is devoted to the explanation of filamentation process. The mechanisms responsible for filament generation and evolution are explained first and various models of the filamentation are presented as well. The second chapter is devoted to the study on supercontinuum spectrum dependence on the initial pulse diameter. The chapter 4 is devoted to the study of the filamentation in scattering medium, and covers the performed experiment, explanation of new developed numerical scheme, and finally comparison of the numerical and experimental results. The chapter 5 describes the multifilamentation with elliptical beam. The role of the four wave mixing to the filaments periodicity is briefly explained. The periodicity dependence on the wave of intensity as well the evolution of multifilamentation is shown. Three dimensional study of the modulation instability during multifilamentation process is also presented in chapter 5. The last chapter 6 is devoted to the origin of the rogue wave statistics in supercontinuum generation, and comparison of the numeric results with experimental. At the end (chapter 7) the main conclusions of the current work are presented