Transverse Patterns in Nonlinear Optical Resonators

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.

37 pages, 14 figures. Table of contents and introductory chapter of the book

References in corpus (11)

• Patterns and localized structures in bistable semiconductor resonators
• Dipole-Mode Vector Solitons
• First Order Nonequilibrium Phase Transition in a Spatially Extended System
• Stable droplets and growth laws close to the modulational instability of a domain wall
• Interaction of cavity solitons in degenerate optical parametric oscillators
• Generation of lattice structures of optical vortices
• Selfsimilar Domain Growth, Localized Structures and Labyrinthine Patterns in Vectorial Kerr Resonators
• Tailoring the profile and interactions of optical localized structures
• From coherent to incoherent hexagonal patterns in semiconductor resonators
• Dynamics of localized structures in vector waves
• Phase-Locked Spatial Domains and Bloch Domain Walls in Type-II Optical Parametric Oscillators

Cited by in corpus (22)

• Stochasticity, periodicity and coherent structures in partially mode-locked fibre lasers
• Spatial pattern formation and polarization dynamics of a nonequilibrium spinor polariton condensate
• Introduction: Localized Structures in Dissipative Media: From Optics to Plant Ecology
• Instability-induced formation and non-equilibrium dynamics of phase defects in polariton condensates
• Absence of Long-Range Coherence in the Parametric Emission from Photonic Wires
• Pattern generation by dissipative parametric instability
• Transverse optical instability patterns in semiconductor microcavities: polariton scattering and low-intensity all-optical switching
• Controlled observation of a nonequilibrium Ising-Bloch transition in a nonlinear optical cavity
• Robustness and observability of rotating vortex-lattices in an exciton-polariton condensate
• Quantum squeezing of optical dissipative structures
• Localized chaos of elliptically polarized cavity solitons in broad-area VCSEL with saturable absorber
• Self-Consistent Projection Operator Theory in Nonlinear Quantum Optical Systems: A case study on Degenerate Optical Parametric Oscillators
• Pump-and-probe optical transmission phase shift as a quantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide
• Stationary localized structures and the effect of the delayed feedback in the Brusselator model
• Cavity solitons in bidirectional lasers
• Dissipative structures in optomechanical cavities
• Controllable half-vortex lattices in an incoherently pumped polariton condensate
• Formation and Dynamics of Quantum Hydrodynamical Breathing Ring Solitons
• Pattern formation in parametric sound generation
• Codimension 2 and 3 situations in a ring cavity with elliptically polarized electromagnetic waves
• Stable radiating gap solitons and their resonant interactions with dispersive waves in systems with parametric pump
• Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity