Mechanical metamaterials, also known as architected materials, are rationally designed
composites, aiming at elastic behaviors and effective mechanical properties beyond ('meta') …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This is the first book to provide a systematic exposition of promising techniques for the
reconstruction of small inhomogeneities from boundary measurements. In particular …

An asymptotic procedure based upon a two-scale approach is developed for wave
propagation in a doubly periodic inhomogeneous medium with a characteristic length scale …

This book aims to provide expert guidance to researchers experienced in classical
technology, as well as to those new to the field. A variety of perspectives on Photonic Crystal …

This book is the first introductory and self-contained presentation of a method for the
analysis of singularly perturbed boundary value problems that we have called the Functional …

We present an application of the higher order asymptotic homogenization method (AHM) to
the study of wave dispersion in periodic composite materials. When the wavelength of a …

Since the 80's, specialists of gratings can rely on very powerful grating softwares [1-6].
These softwares are able to compute grating efficiencies for almost any kind of grating in any …

We analyze the absorption of solar radiation by silicon nanowire arrays, which are being
considered for photovoltaic applications. These structures have been shown to have …

This book uses asymptotic methods to obtain simple approximate analytic solutions to
various problems within mechanics, notably wave processes in heterogeneous materials …