Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2003-12-12
Springer Tracts in Modern Physics, vol. 183. Springer (2003)
Nonlinear Sciences
Pattern Formation and Solitons
37 pages, 14 figures. Table of contents and introductory chapter of the book
Scientific paper
The book is devoted to the formation and dynamics of localized structures (vortices, solitons) and extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and photorefractive oscillators. The theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, i.e. chemical, biological, and hydrodynamical systems, is given. This article contains the table of contents and the introductory chapter of the book.
Sanchez-Morcillo Victor J.
Staliunas Kestutis
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