Evolution of Extreme Waves and Resonances, Galiev, Shamil U.

Автор: Sergey G. Glebov, Oleg M. Kiselev, Nikolai N. Tark
Название: Nonlinear Equations with Small Parameter: Volume I: Oscillations and resonances
ISBN: 3110335549 ISBN-13(EAN): 9783110335545
Издательство: Walter de Gruyter
Цена: 148700.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators

Автор: J.P. Connerade; J.M. Esteva; R.C. Karnatak
Название: Giant Resonances in Atoms, Molecules, and Solids
ISBN: 1489920064 ISBN-13(EAN): 9781489920065
Издательство: Springer
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Цена: 186330.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The impetus of synchrotron spectroscopy also played a large part in developing novel methods, described by many acronyms, which are used to study `giant resonances` today.

Автор: Eugene Kamenetskii; Almas Sadreev; Andrey Miroshni
Название: Fano Resonances in Optics and Microwaves
ISBN: 3319997300 ISBN-13(EAN): 9783319997308
Издательство: Springer
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Цена: 158380.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the development of Fano-based techniques and reveals the characteristic properties of various wave processes by studying interference phenomena. It explains that the interaction of discrete (localized) states with a continuum of propagation modes leads to Fano interference effects in transmission, and explores novel coherent effects such as bound states in the continuum accompanied by collapse of Fano resonance. Originating in atomic physics, Fano resonances have become one of the most appealing phenomena of wave scattering in optics, microwaves, and terahertz techniques. The generation of extremely strong and confined fields at a deep subwavelength scale, far beyond the diffraction limit, plays a central role in modern plasmonics, magnonics, and in photonic and metamaterial structures. Fano resonance effects take advantage of the coupling of these bound states with a continuum of radiative electromagnetic waves. With their unique physical properties and unusual combination of classical and quantum structures, Fano resonances have an application potential in a wide range of fields, from telecommunication to ultrasensitive biosensing, medical instrumentation and data storage. Including contributions by international experts and covering the essential aspects of Fano-resonance effects, including theory, modeling and design, proven and potential applications in practical devices, fabrication, characterization and measurement, this book enables readers to acquire the multifaceted understanding required for these multidisciplinary challenges.