Modern analytical electromagnetic homogenization with Mathematica® / Tom G. Mackay, Akhlesh Lakhtakia.

Format:

Book

Author/Creator:

Mackay, Tom G., author.

Lakhtakia, A. (Akhlesh), 1957- author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP ebooks. 2020 collection.

IOP ebooks. [2020 collection]

Language:

English

Subjects (All):

Mathematica (Computer file).

Composite materials--Electric properties.

Composite materials.

Composite materials--Magnetic properties.

Electromagnetism.

Physical Description:

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

Edition:

Second edition.

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

text file

Biography/History:

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.

Summary:

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.

Contents:

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 ebook

2. 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 materials

3. Depolarization dyadics

3.1. Dyadic Green functions

3.2. Depolarization dyadics

3.3. Polarizability density

4. 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 formalisms

5. Homogenization formalisms: nonlinear materials

5.1. Preliminaries

5.2. Maxwell Garnett formalism

5.3. Strong-property-fluctuation theory

6. 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.

Notes:

"Version: 20201201"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on January 14, 2021).

Other Format:

Print version:

ISBN:

9780750334235

9780750334228

OCLC:

1231597522

Access Restriction:

Restricted for use by site license.