"Version: 20221201"--Title page verso.

Includes bibliographical references.

Page dedicated to Professor Allan D Boardman -- 1. Introductory chapter -- 1.1. Metamaterials : the discovery of 2000th -- 1.2. Characteristic features of the media and wave phenomena in metamaterials and the main approaches to their modeling -- 1.3. Purpose, tasks, and structure of the book

2. Metamaterials with active metaparticles. Absolute and convective instability in the active metamaterials -- 2.1. Artificial molecules (AMs) and their individual polarizations -- 2.2. Possibility of the existence of active metamaterials with spatial amplification and negative phase behavior -- 2.3. Nonlinear homogenization out of the frames of the perturbation method and constitutional (material) nonlinear relationships -- 2.4. Conclusions

3. General method of the derivation of nonlinear evolution equations for layered structures (NEELS) with the volume and surface nonlinearities -- 3.1. A method for the derivation of the nonlinear evolution equations for the waves in layered structures with bi-anisotropic metamaterials -- 3.2. Method NEELS for the giant resonance generation of the second harmonic of surface plasmons and the contribution of the surface and volume nonlinearities -- 3.3. Method NEELS for nonlinear electromagnetic and MSWs in the layered dielectric-ferromagnetic media with spatial dispersion and auxiliary boundary conditions -- 3.4. Conclusions to chapter 3

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 -- 4.1. Application of method NEELS for the giant resonance generation of the second harmonic of surface plasmons and contribution of the surface and volume nonlinearities -- 4.2. Vortex structures on the backward volume magnetostatic waves in ferrite films -- 4.3. Formation and propagation of the bullets in the gyrotropic waveguides accounting for higher-order nonlinearities -- 4.4. Application of the method NEELS for the propagation of the waves in the linear waveguide Earth-Ionosphere -- 4.5. Conclusions to chapter 4

5. Controllable propagation and reflection of electromagnetic waves in layered gyrotropic metamaterial media -- 5.1. The problems under consideration -- 5.2. The magnetooptic control of spatial and spatio-temporal solitons in metamaterial waveguides -- 5.3. Stationary equations and spatial solitons in the presence of the higher-order effect : nonlinear diffraction -- 5.4. Non-stationary equations and spatial-temporal solitons in the presence of higher-order effects : nonlinear diffraction and dispersion, Raman interaction, and linear third-order dispersion. Generalization of NEELS method -- 5.5. New types of surface magnetic polaritons and reflection of electromagnetic waves in metamaterial-dielectric systems -- 5.6. Conclusions

6. Parametric interactions of the nonlinear waves in active layered metamaterials and gyrotropic structures -- 6.1. Wave structures in layered active gyrotropic media with parametric interaction -- 6.2. Nonlinear waves in the layered bi-anisotropic metamaterials -- 6.3. Parametric interactions and phase conjugation on active two-dimensional chiral metamaterial surfaces with linear and nonlinear Huygens sources -- 6.4. Conclusions to chapter 6

7. Formation propagation, and control of bullets in metamaterial waveguides with higher-order nonlinear effects and magnetooptic interaction -- 7.1. Introduction -- 7.2. Instabilities of bullets in the metamaterial waveguides with the influence of the higher-order nonlinear effects -- 7.3. Stabilization of bullets in periodical and magnetooptic metamaterial waveguides -- 7.4. Conclusions for chapter 7

8. Giant double-resonant second harmonic generation in the multilayered dielectric-graphene metamaterials -- 8.1. Introduction -- 8.2. Basic equations -- 8.3. Double resonant reflection and nonlinear scattering into second harmonic : simulations -- 8.4. Discussion and conclusions

9. Nonlinear transformation optics and field concentration -- 9.1. Introduction to metamaterial transformations and geometrical optics mapping onto full-wave nonlinear solutions. Impact of nonlinear wave transformations on the design of realistic devices -- 9.2. Inhomogeneous dielectric permittivity and the wave equation -- 9.3. 'Ordinary' geometrical optics -- 9.4. New CGO techniques -- 9.5. Formulas of CGO for the particular system shown in figure 9.1 -- 9.6. Electromagnetic field inside an internal nonlinear region r [less than or equal to] Rc -- 9.7. Matching 'full-wave' and 'CGO' solutions and possible applications -- 9.8. Superfocusing combining linear and nonlinear media to create new forms of energy capture and field concentration -- 9.9. Conclusions

10. Wave processes in controlled and active metamaterials and plasma-like media in the presence of resonance and strong nonlinearity -- 10.1. Conditions for transition to the mode of strong nonlinearity during the generation of a giant localized surface plasmonic second harmonic -- 10.2. Nonlinear electromagnetic waves in metamaterial field concentrators -- 10.3. Nonlinear switching effect when electromagnetic waves pass through a multilayer resonant system 'dielectric-graphene' -- 10.4. Conclusions

11. Nonlinear stationary and non-stationary diffraction in active planar anisotropic hyperbolic metamaterial -- 11.1. Introduction -- 11.2. Basic equations. Two approaches : with and without an averaging -- 11.3. Details of the structure and requirements for materials -- 11.4. Results of simulations -- 11.5. The limiting case of the stationary NSE -- 11.6. The discussion and main results

12. Analytical models of formation of nonlinear dissipative wave structures in active quantum hyperbolic planar resonant metamaterials in IR range -- 12.1. General description of the problem -- 12.2. Theoretical approach to modeling of modern nonlinear active hyperbolic metamaterials. Ginzburg-Landau equation -- 12.3. Details of the structure of the active hyperbolic metamaterial -- 12.4. The model of a two-level active medium and equations for nonlinear EMW in planar active resonant hyperbolic medium -- 12.5. Example of numerical modeling -- 12.6. Conclusions

13. Rogue waves in metamaterial waveguides -- 13.1. Introduction -- 13.2. Simulations -- 13.3. Conclusions to chapter 13 and future trends

14. Waves in nonlinear layered metamaterials, gyrotropic and plasma media. The main results of the book and the proposed directions for future research -- 14.1. The main results obtained in the previous chapters.

The purpose is to give a wide, tutorial-driven, presentation of the theory of wave processes occurring in layered nonlinear metamaterials (MMs), gyrotropic and plasma media.

Electromagnetics and nonlinear wave phenomena.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Yuriy Rapoport 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. 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 theoretical physics. Now he is with the Autonomous University of State Morelos, Cuernavaca, Mexico.

Title from PDF title page (viewed on January 9, 2023).