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The present book is devoted to the nonlinear wave processes in metamaterials (MMs), gyrotropic and plasma media. The fundamental concept of metamaterials is based on the programmed compositions of various materials to produce new desired qualities, especially to linear and nonlinear wave propagation. The modern nano and meta-photonic technologies make it possible to create desired construction and composition of MMs for providing a specified response of any system to external electromagnetic (EM) and acoustic fields, which is usually impossible in the natural media. In MM the set of specific features can be realized jointly in the same structure, for instance specific wave resonances, the extreme field concentration, the resonant nonlinearity, bi-anisotropy, the dispersion and diffraction wave management etc.
Preface
1 Introductory chapter
2 Metamaterials with active metaparticles. Absolute and convective instability in the active metamaterials
3 General method of the derivation of nonlinear evolution equations for layered structures (NEELS) with the volume and surface nonlinearities
4 Application of the nonlinear evolution equations for layered structures (NEELS) method to the layered nonlinear passive gyrotropic and plasma-like structures with volume and surface nonlinearities
5 Controllable propagation and reflection of electromagnetic waves in layered gyrotropic metamaterial media
6 Parametric interactions of the nonlinear waves in active layered metamaterials and gyrotropic structures
7 Formation propagation, and control of bullets in metamaterial waveguides with higher-order nonlinear effects and magnetooptic interaction
8 Giant double-resonant second harmonic generation in the multilayered dielectric–graphene metamaterials
9 Nonlinear transformation optics and field concentration
10 Wave processes in controlled and active metamaterials and plasma-like media in the presence of resonance and strong nonlinearity
11 Nonlinear stationary and non-stationary diffraction in active planar anisotropic hyperbolic metamaterial
12 Analytical models of formation of nonlinear dissipative wave structures in active quantum hyperbolic planar resonant metamaterials in IR range
13 Rogue waves in metamaterial waveguides
14 Waves in nonlinear layered metamaterials, gyrotropic and plasma media. The main results of the book and the proposed directions for future research