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  • Wave Scattering by Small Bodies by Ramm Alexander G book cover
  • Wave Scattering by Small Bodies by Ramm Alexander G book cover
  • Wave Scattering by Small Bodies by Ramm Alexander G book cover
  • Wave Scattering by Small Bodies by Ramm Alexander G book cover
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Wave Scattering by Small Bodies

by Ramm Alexander G

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Wave interactions across many small bodies

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Hardcover New English

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AlbakiReads Editorial

Wave interactions across many small bodies

A research monograph on scattering by collections of small particles, the book develops asymptotic treatments for scalar and electromagnetic waves under specified relationships among particle size, separation, and wavelength. Its scope also includes heat transfer in media containing many small bodies and quantum-mechanical scattering by multiple small-support potentials. The theoretical work is connected to proposed methods for designing materials with chosen refraction coefficients and for focusing waves, alongside discussion of technological challenges to practical use. This edition contains the material of the author's 2013 monograph, supplemented by new appendices drawing on later review papers.

Good fit for readers who enjoy

  • Researchers and graduate-level readers in applied mathematics or wave physics
  • Readers studying electromagnetic or scalar-wave scattering and heat transfer
  • Readers interested in theoretical foundations for engineered refraction and wave-focusing materials

Themes

Many-body wave scatteringElectromagnetic and scalar wavesHeat transferQuantum-mechanical scatteringEngineered refraction and wave focusing

Based on publisher information and book metadata.

Book overview

The book is a research monograph. An asymptotically exact solution of the many-body scattering problem is given under the assumption a ≪ d ≪ λ, where a is the characteristic size of a small particle, d is the smallest distance between particles and λ is the wavelength in the medium in which the particles are embedded. Scattering of scalar and electromagnetic waves is considered. Heat transfer theory in the medium in which many small bodies are embedded is developed. Quantum-mechanical theory of scattering by many potentials with small support is constructed.

 

On the basis of these theoretical results, important applications are presented. First, a method for creating materials with a desired refraction coefficient is given. Secondly, a method for creating wave-focusing materials is developed. Technological problems to be solved for practical usage of these applied results are discussed.

 

This book contains the contents of the author's earlier monograph, published in 2013. New appendices, based on the author's review papers published after 2013, are added.

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