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Soliton management in periodic systems
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ISBN: 0387256350 1441938176 9786610618682 128061868X 0387293345 Year: 2006 Publisher: New York : Springer,

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Abstract

During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples of this type of systems are the dispersion management in fiber-optic telecommunication links, and (more recently) photonic crystals. A number of other systems belonging to the same broad class of spatially periodic strongly inhomogeneous media (such as the split-step and tandem models) have recently been identified in nonlinear optics, and transmission of solitary pulses in them was investigated in detail. Similar soliton dynamics occurs in temporal-domain counterparts of such systems, where they are subject to strong time-periodic modulation (for instance, the Feshbach-resonance management in Bose-Einstein condensates). Basis results obtained for all these systems are reviewed in the book. This timely work will serve as a useful resource for the soliton community.

Keywords

Solitons --- Solitons - Mathematical models. --- Solitons. --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Wave equation. --- Mathematical models. --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Physics. --- Phase transformations (Statistical physics). --- Condensed materials. --- Condensed matter. --- Quantum optics. --- Statistical physics. --- Dynamical systems. --- Microwaves. --- Optical engineering. --- Quantum Optics. --- Microwaves, RF and Optical Engineering. --- Statistical Physics, Dynamical Systems and Complexity. --- Mathematical Methods in Physics. --- Quantum Gases and Condensates. --- Differential equations, Partial --- Wave-motion, Theory of --- Connections (Mathematics) --- Nonlinear theories --- Mathematical physics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Physical mathematics --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Statistical methods --- Mathematics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mechanical engineering --- Optics --- Photons --- Quantum theory


Book
Spontaneous symmetry breaking, self-trapping, and Josephson oscillations
Author:
ISBN: 3642212069 1322477507 3642212077 Year: 2013 Publisher: New York : Springer,

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Abstract

This volume collects a number of contributions on the general theme of spontaneous symmetry breaking in nonlinear systems, and related topics. Current studies in these areas are going ahead at a full speed. Chapters included into the book present an overview on major recent achievements. They cover a number of different physical settings, which are introduced when a nonlinearity is added to underlying symmetric configurations. The spontaneous symmetry breaking, alias self-trapping into asymmetric states, happens when the strength of the nonlinearity exceeds a certain critical value. A related generic dynamical effect appears in the form of Josephson oscillations between mutually symmetric states. Theoretical studies of these phenomena, as well as related experimental findings, are extensively discussed in the book - chiefly, in the context of Bose-Einstein condensates and nonlinear optics.


Digital
Soliton Management in Periodic Systems
Author:
ISBN: 9780387293349 Year: 2006 Publisher: Boston, MA Springer Science+Business Media, Inc


Multi
Spontaneous symmetry breaking, self-trapping, and Josephson oscillations
Author:
ISBN: 9783642212079 3642212077 Year: 2013 Publisher: New York : Springer,

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Abstract

This volume collects a number of contributions on the general theme of spontaneous symmetry breaking in nonlinear systems, and related topics. Current studies in these areas are going ahead at a full speed. Chapters included into the book present an overview on major recent achievements. They cover a number of different physical settings, which are introduced when a nonlinearity is added to underlying symmetric configurations. The spontaneous symmetry breaking, alias self-trapping into asymmetric states, happens when the strength of the nonlinearity exceeds a certain critical value. A related generic dynamical effect appears in the form of Josephson oscillations between mutually symmetric states. Theoretical studies of these phenomena, as well as related experimental findings, are extensively discussed in the book - chiefly, in the context of Bose-Einstein condensates and nonlinear optics.


Book
Soliton Management in Periodic Systems
Authors: ---
ISBN: 9780387293349 Year: 2006 Publisher: Boston MA Springer US

Loading...
Export citation

Choose an application

Bookmark

Abstract

During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples of this type of systems are the dispersion management in fiber-optic telecommunication links, and (more recently) photonic crystals. A number of other systems belonging to the same broad class of spatially periodic strongly inhomogeneous media (such as the split-step and tandem models) have recently been identified in nonlinear optics, and transmission of solitary pulses in them was investigated in detail. Similar soliton dynamics occurs in temporal-domain counterparts of such systems, where they are subject to strong time-periodic modulation (for instance, the Feshbach-resonance management in Bose-Einstein condensates). Basis results obtained for all these systems are reviewed in the book. This timely work will serve as a useful resource for the soliton community.

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