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The purpose of this book is to give a wide, tutorial-driven, presentation of the theory of nonlinear wave processes in modern metamaterials. This is developed through the activities of the authors of this book, and includes many new and entirely accessible methods to deal with layered, complex and active media of various physical natures. The authors present, in terms of delightful patterns, modern metamaterials that include hyperbolic, gyrotropic and plasma media, in the presence of bulk, surface, resonant, moderate and strong nonlinearities. They show exciting new wave structures that involve graphene and a variety of environments. The book demonstrates the realistic possibilities of management for wave processes in the type of modern media.
This book is aimed at graduates and postgraduates studying physical science and engineering, and can be used for training courses for specialists in meta- and nanophotonics and nanoelectronics. Lectures on the topics of nonlinear wave processes in metamaterials related to various topics of this book were delivered by the authors at universities in the UK, Mexico, Japan, Finland, and Ukraine.
Volodymyr Grimalsky graduated from T. Shevchenko Kiev State University (KSU), former USSR (now Taras Shevchenko National University of Kyiv, Ukraine), in 1982 with the honorous diploma on the theoretical physics. Now he is with the Autonomous University of State Morelos, Cuernavaca, Mexico. Grimalsky is the author of more than 200 papers in refereed journals, conference proceedings, and book chapters. His scientific interests are with the linear and nonlinear propagation and interaction of electromagnetic and acoustic waves in complex media including metamaterials; physical fundamentals of semiconductor devices of high frequencies including terahertz range; and investigation of the physical fundamentals of electromagnetic and acoustic processes in ionosphere connected with seismic and volcanic activity phenomena.
Yuriy Rapoport was graduated from Taras Shevchenko National University of Kyiv, Ukraine and is now Leading research fellow at the same University, Faculty of Physics, and also with the University of Warmia and Mazury, Olsztyn, Poland. He is Ph. D. (1986) and Dr. of Phys. Math. Science (2017). He has been leader and executor of more than 10 Ukrainian and international scientific projects. He has around 140 scientific publications including 122 publications with 1031 citations in SCOPUS data base. He has presented and was co-author of the set of invited papers on the international conferences and was a co-author of a set of invited papers and monograph chapters. His scientific interests include nonlinear wave processes in the active layered and inhomogeneous media of different physical nature: metamaterials, plasma-like structures, ferromagnetics; nonlinear processes in active hyperbolic and quantum graphene metamaterials, including Graphene Metamaterial Electron Optics; ultra-high quality nonlinear resonances and vortex formation in active nonlinear metamaterials and metasurfaces in THz and optical ranges; vortex-based wireless communications, with increased information capacity and robustness respectively to environment influence; mechanisms of the synergetic coupling in the system Earth-Atmosphere-Ionosphere-Magnetosphere.
Introduction
Acknowledgments
Author biographies
REVIEW OF LITERATURE, PURPOSE, PROBLEM SETTING AND STRUCTURE
METAMATERIALS WITH ACTIVE METAPARTICLES. ABSOLUTE AND
CONVECTIVE INSTABILITY IN THE ACTIVE METAMATERIALS
GENERAL METHOD OF THE DERIVATION OF NONLINEAR EVOLUTION
EQUATIONS FOR LAYERED STRUCTURES (NEELS) WITH THE VOLUME
AND SURFACE NONLINEARITIES
APPLICATION OF THE METHOD NEELS TO THE LAYERED NONLINEAR PASSIVE GYROTROPIC AND PLASMA-LIKE STRUCTURES WITH VOLUME AND SURFACE NONLINEARITIES
CONTROLLABLE ELECTROMAGNETIC WAVES AND OF THE WAVES OF ELECTRON STATES UNDER THE PROPAGATION AND REFLECTION IN NON-STATIONARY LAYERED GYROTROPIC AND METAMATERIAL MEDIA
PARAMETRIC INTERACTIONS OF THE NONLINEAR WAVES IN ACTIVE
LAYERED METAMATERIALS AND GYROTROPIC STRUCTURES
FORMATION. PROPAGATION AND CONTROL OF BULLETS IN METAMATERIAL WAVEGUIDES WITH HIGHER-ORDER NONLINEAR EFFECTS AND MAGNETOOPTIC INTERACTION
GIANT DOUBLE-RESONANT SECOND HARMONIC GENERATION IN THE MULTILAYERED DIELECTRIC-GRAPHENE METAMATERIALS
NONLINEAR TRANSFORMATION OPTICS AND FIELD CONCENTRATION
CONDITIONS FOR TRANSITION TO THE MODE OF STRONG
NONLINEARITY DURING THE GENERATION OF A GIANT LOCALIZED SURFACE PLASMONIC SECOND HARMONIC
NONLINEAR STATIONARY AND NON-STATIONARY DIFFRACTION IN ACTIVE PLANAR ANISOTROPIC HYPERBOLIC METAMATERIAL
ANALYTICAL MODELS OF FORMATION OF NONLINEAR DISSIPATIVE WAVE STRUCTURES IN ACTIVE HYPERBOLIC PLANAR RESONANT METAMATERIAL IN THE IR RANGE. SYNERGETIC APPROACH TO THE WAVE PROCESSES IN RESONANT ACTIVE QUANTUM HYPERBOLIC METAMATERIALS
ROGUE WAVES IN METAMATERIAL WAVEGUIDES
CONCLUSIVE CHAPTER. DISCUSSION AND CONCLUSIONS. THE FUTURE SCIENTIFIC PROBLEMS AND PERSPECTIVE APPLICATIONS OF THE NONLINEAR WAVE PROCESSES IN THE METAMATERIALS
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