An Introduction to Metamaterials and Waves in Composites

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Product Description

Requiring no advanced knowledge of wave propagation, An Introduction to Metamaterials and Waves in Composites focuses on theoretical aspects of metamaterials, periodic composites, and layered composites. The book gives novices a platform from which they can start exploring the subject in more detail. After introducing concepts related to elasticity, acoustics, and electrodynamics in media, the text presents plane wave solutions to the equations that describe elastic, acoustic, and electromagnetic waves. It examines the plane wave expansion of sources as well as scattering from curved interfaces, specifically spheres and cylinders. The author then covers electrodynamic, acoustic, and elastodynamic metamaterials. He also describes examples of transformations, aspects of acoustic cloaking, and applications of pentamode materials to acoustic cloaking. With a focus on periodic composites, the text uses the Bloch-Floquet theorem to find the effective behavior of composites in the quasistatic limit, presents the quasistatic equations of elastodynamic and electromagnetic waves, and investigates Brillouin zones and band gaps in periodic structures. The final chapter discusses wave propagation in smoothly varying layered media, anisotropic density of a periodic layered medium, and quasistatic homogenization of laminates. This book provides a launch pad for research into elastic and acoustic metamaterials. Many of the ideas presented have yet to be realized experimentally �the book encourages readers to explore these ideas and bring them to technological maturity.

An Introduction to Metamaterials and Waves in Composites Review

There's something I don't quite like about this book. The derivations and exposition at the beginning just seem like a tossed together set of lecture notes. There's no depth and there are large jumps in the derivations. It just feels like there's something missing; in abstraction, everything's there, but it reads more like a formula sheet than a text.

However, there's a book of worked out solutions available for free online. At 171 pages, this annex is a book in itself. And it's HERE where you'll find all manner of worked out examples, often several pages for a single problem, of calculations with hardly a detail excluded.

The combination of these two is actually rather excellent. And although it would be nice for the main text to include more in the way of actual pedagogy (mind you, I've only been through the first few chapters), I'm quite satisfied with the combination of the two.

The level of detail in the solution manual is essential for the study of metamaterials. To my mind, the approach to metamaterials is to do somewhat acrobatic manipulations with traditional electrodynamics. It's fundamentally technical in nature - meaning it's full of analytic maneuvers and tons of notation. The electrodynamics framework is simple enough and has already been in place for quite some time. What's new here is a series of somewhat complicated manipulations for forcing a counter-intuitive response out of somewhat ordinary materials. Given that the extension is actually theoretically straightforward (no fundamentally new theory is really involved), the only novelty here is in the nature of the analytic operations (in the electrodynamic context). I reason then that we should receive a healthy dose of these or else of what value would this text be??

Overall, and with the solutions manual, the book covers a satisfying breadth of material and I feel confident that when I'm done I'll be able to model me some invisibility cloaks! Which is the point of all of this, right? In-fricken-visibility cloaks!

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