Soliton Management in Periodic Systems (eBook)
XII, 180 Seiten
Springer US (Verlag)
978-0-387-29334-9 (ISBN)
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.
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.- Management for channel solitons: a waveguiding-antiwaveguiding system.- Stabilization of spatial solitons in bulk Kerr media with alternating nonlinearity.- Stabilization of two-dimensional solitons in Bose-Einstein condensates under Feshbach-resonance management.- Multidimensional dispersion management.- Feshbach-resonance management in optical lattices.
| Erscheint lt. Verlag | 6.7.2006 |
|---|---|
| Zusatzinfo | XII, 180 p. 78 illus. |
| Verlagsort | New York |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Naturwissenschaften ► Physik / Astronomie ► Optik | |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Technik ► Elektrotechnik / Energietechnik | |
| Schlagworte | Dispersion • Optics • Photonics • telecommunications • Transmission |
| ISBN-10 | 0-387-29334-5 / 0387293345 |
| ISBN-13 | 978-0-387-29334-9 / 9780387293349 |
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