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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.
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
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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.
Bose-Einstein condensation. --- Broken symmetry (Physics). --- Physics. --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Broken symmetry (Physics) --- Bose condensed fluids --- Bose condensed liquids --- Bose fluids --- Bose liquids --- Einstein condensation --- Symmetry breaking (Physics) --- Quantum optics. --- Solid state physics. --- Microwaves. --- Optical engineering. --- Quantum Optics. --- Microwaves, RF and Optical Engineering. --- Optics, Lasers, Photonics, Optical Devices. --- Solid State Physics. --- Bosons --- Condensation --- Superfluidity --- Symmetry (Physics) --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Lasers. --- Photonics. --- Solids --- New optics --- Optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Mechanical engineering --- Photons --- Quantum theory
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Mathematical physics --- Quantum mechanics. Quantumfield theory --- Optics. Quantum optics --- Elementary particles --- Spectrometric and optical chemical analysis --- Computer science --- elementaire deeltjes --- kwantumleer --- informatica --- wiskunde --- fysica --- fysicochemie --- spectrometrie
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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.
Physics --- Fluid mechanics --- Optics. Quantum optics --- Solid state physics --- Spectrometric and optical chemical analysis --- vaste stof --- materie (fysica) --- quantumchemie --- elektrodynamica --- telecommunicatie --- fysica --- spectrometrie --- optica --- Broken symmetry (Physics) --- Bose-Einstein condensation.
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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.
Mathematical physics --- Quantum mechanics. Quantumfield theory --- Optics. Quantum optics --- Elementary particles --- Spectrometric and optical chemical analysis --- Computer science --- elementaire deeltjes --- kwantumleer --- informatica --- wiskunde --- fysica --- fysicochemie --- spectrometrie
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