"About the Book The last few years have seen dramatic advances in the growth, fabrication and characterization of low-dimensional materials (such as graphene) and nanostructures (such as those formed from ultrathin films, wires, discs and other ""dots""), formed either singly or in spatially periodic arrays. Most studies of these artificially engineered materials have been driven by their potential for device applications that involve smaller and smaller physical dimensions. In particular, the dynamical properties of these materials are of fundamental interest for the devices that involve high-frequency operation and/or switching. Consequently, the different excitations, vibrational, magnetic, optical, electronic, and so on, need to be understood from the perspective of how their properties are modified in finite structures especially on the nanometre length scale due to the presence of surfaces and interfaces. Recently, the patterning of nanoelements, into periodic and other arrays, has be a focus of intense activity, leading for example to photonic crystals and their analogues such as phononic and magnonic crystals where the control of the band gaps in the excitation spectrum is a basis for applications. The nonlinear properties of the excitations are increasingly a topic of interest, as well as the linear dynamics. Book Synopsis The dramatic advances that started two decades ago in the growth, fabrication and characterisation of low-dimensional materials have continued, with important developments in the seven years since the first edition of this book. Examples of novel materials include two-dimensional graphene, van der Waals magnets and nanostructures. In parallel, there have been improvements in theoretical and simulation methods. In particular, the areas relating to magnetic excitations, mixed (or hybrid) excitations, and nonlinear excitations have all been very active. Most studies of these artificially engineered materials have been driven by their potential for device applications that involve smaller and smaller physical dimensions. Recently the patterning of nanoelements, into periodic and other arrays, has be a focus of intense activity. The nonlinear properties of the excitations are increasingly of interest, as well as the linear dynamics. This book is suitable for physicists, chemists, materials scientists and engineers (in universities, research labs and industry). Key Features: - Focuses on novel nanostructured materials - Includes two-dimensional and other low-dimensional materials - Illustrates the dynamics of wave propagation in materials - Includes comprehensive treatment for a wide range of materials and applications - Accessible to non-specialists in the field - Contains up-to-date coverage of experimental and theoretical advances."