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Waves and defect modes in structures media.- Piezoelectric superlattices and shunted periodic arrays as tunable periodic structures and metamaterials.- Topology optimization.- Map-based approaches for periodic structures.- Methodologies for nonlinear periodic media.​ The contributions in this volume present both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear periodic media in a consistent format. They combine the material issued from a variety of engineering applications, spanning a wide range of length scale, characterized by structures and materials, both man-made and naturally occurring, featuring geometry, micro-structural and/or materials properties that vary periodically in space, including periodically stiffened plates, shells and beam-like as well as bladed disc assemblies, phononic metamaterials, photonic crystals and ordered granular media. Along with linear models and applications, analytical methodologies for analyzing and exploiting complex dynamical phenomena arising in nonlinear periodic systems are also presented.​
The study investigates the propagation of electromagnetic waves in a rectangular waveguide which contains a periodically varying unidirectionally inhomogeneous medium. Variations of both permittivity and permeability in the direction of propagation are considered. It is shown that the solution to this problem leads to a form of the Hill differential equation. Two methods for solving this equation are presented. The first is Hill's method of solution and the second is a transmission matrix form of solution. A characteristic equation, derived from the Hill equation, is used to predict wave propagation characteristics. Several media are analyzed and passbands and stopbands are predicted for each configuration. The effects of varying medium period and parameters are studied. Experimental verification of a number of cases is presented and compared with predicted results.
Classic treatment of wave propagation covers a broad variety of problems with a common mathematical background: solid state physics, X-rays, certain optical reflections, electrical engineering, more .131 illustrations. 1946 edition."
Contains a new appendix by the author.
This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.
PERIODIC STRUCTURES Mode-Matching Approach and Applications in Electromagnetic Engineering In Periodic Structures, Hwang gives readers a comprehensive understanding of the underlying physics in meta-materials made of periodic structures, providing a rigorous and firm mathematical framework for analyzing their electromagnetic properties. The book presents scattering and guiding characteristics of periodic structures using the mode-matching approach and their applications in electromagnetic engineering. Provides an analytic approach to describing the wave propagation phenomena in photonic crystals and related periodic structures Covers guided and leaky mode propagation in periodic surroundings, from fundamentals to practical device applications Demonstrates formulation of the periodic system and applications to practical electromagnetic / optical devices, even further to artificial dielectrics Introduces the evolution of periodic structures and their applications in microwave, millimeter wave and THz Written by a high-impact author in electromagnetics and optics Contains mathematical derivations which can be applied directly to MATLAB® programs Solution Manual and MATLAB® computer codes available on Wiley Companion Website The book is primarily intended for graduate students in electronic engineering, optics, physics, and applied physics, or researchers working with periodic structures. Advanced undergraduates in EE, optics, applied physics applied math, and materials science who are interested in the underlying physics of meta-materials, will also be interested in this text.