Modern analytical electromagnetic homogenization with Mathematicaª /

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"Version: 20201201"--Title page verso.Includes bibliographical references.1. Introduction to homogenization -- 1.1. The notion of a homogenized composite material -- 1.2. Salient features of homogenization formalisms -- 1.3. Brief history of homogenization formalisms -- 1.4. Organization of this ebook2. Constitutive dyadics -- 2.1. Microscopic and macroscopic electromagnetic perspectives -- 2.2. Constitutive relations -- 2.3. Frequency domain -- 2.4. A compact representation -- 2.5. Dissipative and nondissipative materials -- 2.6. Linear materials -- 2.7. Nonlinear materials3. Depolarization dyadics -- 3.1. Dyadic Green functions -- 3.2. Depolarization dyadics -- 3.3. Polarizability density4. Homogenization formalisms: linear materials -- 4.1. Preliminaries -- 4.2. Maxwell Garnett formalism -- 4.3. Bruggeman formalism -- 4.4. Strong-property-fluctuation theory -- 4.5. Extended formalisms5. Homogenization formalisms: nonlinear materials -- 5.1. Preliminaries -- 5.2. Maxwell Garnett formalism -- 5.3. Strong-property-fluctuation theory6. Applications and numerical examples -- 6.1. Refinements to the Maxwell Garnett formalism -- 6.2. Convergence of the strong-property-fluctuation theory -- 6.3. Extended formalisms: the isotropic dielectric HCM -- 6.4. Realization of anisotropy and bianisotropy -- 6.5. Disk-shaped and needle-shaped particles -- 6.6. Plane-wave phenomenons -- 6.7. Inverse homogenization -- 6.8. Limitations for linear materials -- 6.9. Gain and loss -- 6.10. Nonlinearity enhancement -- 7. Epilogue.This book is an overview of state-of-the-art analytical homogenization formalisms used to estimate the effective electromagnetic properties of complex composite materials. Beginning with an introduction to homogenization, the book progresses to cover both constitutive and depolarization dyadics. The homogenization formalisms for linear and non-linear materials are examined, followed by their applications and multiple examples using Mathematica code. This text is a valuable reference for PhD students and researchers working on the electromagnetic theory of complex composite materials.PhD students and researchers working on the electromagnetic theory of complex composite materials.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Tom G. Mackay is a reader in the School of Mathematics at the University of Edinburgh and an adjunct professor in the Department of Engineering Science and Mechanics at the Pennsylvania State University. Akhlesh Lakhtakia is the Evan Pugh University professor and the Charles Godfrey Binder (Endowed) Professor of Engineering Science and Mechanics at the Pennsylvania State University. Both of them carry out research on electromagnetic fields in complex mediums, including homogenized composite materials and architected materials.Title from PDF title page (viewed on January 14, 2021).

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Call Number

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750334235

Classification

620.1/189

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-

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-

Edition

Second edition.

Subject(s)

Electricity, electromagnetism & magnetism.
SCIENCE / Physics / Electromagnetism.
Composite materials
Electromagnetism.

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Statement of Responsibility

Tom G. Mackay, Akhlesh Lakhtakia.

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