Soliton Management in Periodic Systems
(Sprache: Englisch)
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...
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Klappentext zu „Soliton Management in Periodic Systems “
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.
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.
Inhaltsverzeichnis zu „Soliton Management in Periodic Systems “
- Introduction- Periodically modulated dispersion and dispersion management: basic results for solitons
- The split-step model
- Nonlinearity management for quadratic, cubic, and Bragg-grating solitons
- Resonant management of one-dimensional solitons in Bose-Einstein condensates
- Waveguiding-Antiwaveguiding system
- Spatial solitons in bulk media
- Stabilization of two-dimensional solitons in Bose-Einstein condensates under Feshbach-resonance management
- Multidimensional dispersion management
- Feshbach-resonance management in optical lattices
Autoren-Porträt von Boris A. Malomed
In a field of study that is still in intensive development, this book provides a unique and informative snapshot of the state of the art. The volume opens with a review of the existence of robust solitons and soliton-like solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples are the dispersion management (DM) in fiber-optic telecommunication links, and more recently, photonic crystals. A number of other systems belonging to the same broad class of periodic strongly inhomogeneous systems (such as tandem models, the split-step model, etc.) have recently been investigated in nonlinear optics.
Bibliographische Angaben
- Autor: Boris A. Malomed
- 2010, Softcover reprint of hardcover 1st ed. 2006, XII, 180 Seiten, Maße: 15,6 x 23,4 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441938176
- ISBN-13: 9781441938176
Sprache:
Englisch
Pressezitat
From the reviews:"The book under review makes its appearance about a decade after its subject became one of the hot topics in nonlinear wave theory. ... The book contains a comprehensive review of the respective theoretical results obtained using either numerical methods or the semi-analytical variational approach. ... The timely appearance of this book, as well as the wide range of physical problems addressed, makes the work a valuable reference for a broad audience interested in recent developments in the theory of nonlinear waves and its applications." (Vladimir V. Konotop, Mathematical Reviews, Issue 2012 b)
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