The domain of metamaterials now covers many area of physics: electromagnetics, acoustics, mechanics, thermics, or even seismology. Huge literature is now available on the subject but the results are scattered. Although many ideas and possible applications have been proposed, which of these will emerge as a viable technology will only unfold with time.
This book aims at covering the fundamental science behind metamaterials, from the physical, mathematical, and numerical points of view, focusing mainly on methods. It concentrates on electromagnetic waves, but would also be useful in studying other types of metamaterials. It presents the structure of Maxwell equations, discusses the homogenization theory in detail, and includes important problems on resonance. It has an entire section devoted to numerical methods (finite elements, Fourier modal methods, scattering theory), which aims to motivate a reader to implement them. The book is not written as a collection of independent chapters but as a textbook with a strong pedagogical flavor.
“Beginning with a distillation of the Maxwell postulates, the authors move on first to the dielectric and magnetic response characteristics of actual materials and the band diagrams of diverse crystals, and then to a comprehensive overview of the electromagnetic characteristics of periodic distributions of matter in space. Homogenizable as well as nonhomogenizable periodic composites are described, along with a useful introduction to transformation optics.”
~Prof. Akhlesh Lakhtakia, Pennsylvania State University, USA
“This entry-level book is suitable for everyone interested in understanding and mastering metamaterial design. Starting from the necessary details of basic principles of electromagnetism, it develops all the way to illustrate implementations of sophisticated numerical models and metamaterial homogenization approaches. Care is taken to underline physical insights behind mathematical notions.”
~Prof. Anatoly Zayats, King’s College London, UK
“I enjoyed reading the book edited by Felbacq and Bouchitté. It is a solid reference for the rigorous modeling and design of metamaterials, with special emphasis on the mathematical aspects. It will serve as a great reference for the field and as an inspiration for scientists and students entering this area of research.”
~Prof. Andrea Alù, University of Texas, USA