Download An Introduction to Metamaterials and Waves in Composites by Biswajit Banerjee PDF

By Biswajit Banerjee

Requiring no complex wisdom of wave propagation, An advent to Metamaterials and Waves in Composites specializes in theoretical points of metamaterials, periodic composites, and layered composites. The ebook offers newbies a platform from which they could begin exploring the topic in additional detail.

After introducing innovations regarding elasticity, acoustics, and electrodynamics in media, the textual content provides aircraft wave options to the equations that describe elastic, acoustic, and electromagnetic waves. It examines the aircraft wave enlargement of resources in addition to scattering from curved interfaces, in particular spheres and cylinders. the writer then covers electrodynamic, acoustic, and elastodynamic metamaterials. He additionally describes examples of modifications, points of acoustic cloaking, and functions of pentamode fabrics to acoustic cloaking. With a spotlight on periodic composites, the textual content makes use of the Bloch-Floquet theorem to discover the potent habit of composites within the quasistatic restrict, offers the quasistatic equations of elastodynamic and electromagnetic waves, and investigates Brillouin zones and band gaps in periodic buildings. the ultimate bankruptcy discusses wave propagation in easily various layered media, anisotropic density of a periodic layered medium, and quasistatic homogenization of laminates.

This e-book offers a release pad for examine into elastic and acoustic metamaterials. the various rules offered haven't begun to be discovered experimentally―the publication encourages readers to discover those rules and produce them to technological maturity.

Show description

Read Online or Download An Introduction to Metamaterials and Waves in Composites PDF

Similar microwaves books

Microwave Circuits for 24 GHz Automotive Radar in Silicon-based Technologies

There are non-stop efforts focussed on enhancing highway site visitors defense around the world. a variety of motor vehicle security features resembling driving force tips platforms were invented. Many driving force suggestions positive factors depend upon radar-based sensors, yet are steeply-priced. awareness of reasonably cheap radar front-end circuits could let their implementation in less costly financial system automobiles, significantly contributing to site visitors protection.

Geometric Optics: Theory and Design of Astronomical Optical Systems Using Mathematica®

This book—unique within the literature—provides readers with the mathematical historical past had to layout a number of the optical mixtures which are utilized in astronomical telescopes and cameras. the consequences provided within the paintings have been acquired through the use of a special method of third-order aberration idea in addition to the huge use of the software program package deal Mathematica®.

Handbook of Transparent Conductors

Obvious engaging in fabrics are key parts in a large choice of present applied sciences together with flat panel monitors, photovoltaics, natural, low-e home windows and electrochromics. the desires for brand spanking new and greater fabrics is urgent, as the current fabrics should not have the functionality degrees to fulfill the ever- expanding call for, and since the various present fabrics used is probably not possible sooner or later.

Advances in Monolithic Microwave Integrated Circuits for Wireless Systems: Modeling and Design Technologies

Monolithic Microwave built-in Circuit (MMIC) is an digital machine that's prevalent in all excessive frequency instant platforms. In constructing MMIC as a product, figuring out research and layout options, modeling, dimension technique, and present developments are crucial. Advances in Monolithic Microwave built-in Circuits for instant platforms: Modeling and layout applied sciences is a vital resource of information on MMIC improvement, containing examine on concept, layout, and useful techniques to built-in circuit units.

Additional info for An Introduction to Metamaterials and Waves in Composites

Example text

2 Plane Waves and Interfaces Owing to the extraordinary complexity of the investigation when written out in Cartesian form (which I began doing, but gave up aghast) some abbreviated method of expression becomes desirable. O LIVER H EAVISIDE, On the electromagnetic wave-surface, 1885. In the previous chapter we have seen that the dynamics of elastic, acoustic, and electromagnetic waves can be expressed in the form of wave equations. In classical linear elastodynamics without body forces we have the wave equations ∇ψ )T = ψ¨ .

In general, the direction of plane wave will not be oriented with one of the coordinate axes. Let k be a unit vector in the direction of propagation of the wave, also called the wave vector. Then the general solution of the wave equation is u(x,t) = f1 (k · x − ct) + f2 (k · x + ct) . This solution is not particularly useful because the functions f1 and f2 remain to be found. The problem that we face can be resolved by appealing to the Fourier transform, finding a particular solution for a fixed frequency, and summing up the solutions at all frequencies to arrive at the general solution.

3 Therefore the TM wave equation for the isotropic case has the form ∇· 1 ∇ H1 + ω2 µ(x2 , x3 ) H1 = 0 . 97) where R⊥ ≡ 0 1 −1 0 and E ≡ ε22 ε23 . ε23 ε33 The general solution independent of x1 is a superposition of the TE and TM solutions. 98) where the first term represents the TE solution. 99) implying that H2 = H3 = 0 which is the TM solution. 7 Maxwell’s equations in elasticity form Interestingly, Maxwell’s equations can be reduced to the form of the equations of elastodynamics at fixed frequency (Milton, 2006).

Download PDF sample

Rated 4.69 of 5 – based on 5 votes