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.

Zusammenfassung

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.

Inhalt
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.