Transverse Patterns in Nonlinear Optical Resonators

TL;DR

This paper explores the formation, dynamics, and experimental observation of localized and extended transverse patterns in nonlinear optical resonators, comparing them with patterns in other nonlinear systems.

Contribution

It provides a comprehensive theoretical and experimental analysis of pattern formation in various nonlinear optical resonators, including derivation of order parameter equations and numerical modeling.

Findings

Identification of various transverse patterns such as vortices, solitons, stripes, and hexagons.

Derivation of order parameter equations for pattern analysis.

Experimental observations confirming theoretical predictions.

Abstract

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.