Modern Analytical Electromagnetic Homogenization with Mathematica / Tom G. Mackay and Akhlesh Lakhtakia.

Format:

Book

Author/Creator:

Mackay, Tom G., author.

Lakhtakia, Akhlesh, author.

Series:

IOP Ebooks Series

Language:

English

Subjects (All):

Composite materials--Electric properties.

Composite materials.

Composite materials--Magnetic properties.

Mathematica (Computer file).

Physical Description:

1 online resource (203 pages)

Edition:

Second edition.

Place of Publication:

Bristol, England : IOP Publishing, [2020]

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, providing many numerical examples along with their Mathematica codes.

Contents:

Intro

Preface to 1st edition

Preface to 2nd edition

Acknowledgements

Author biographies

Tom G Mackay

Akhlesh Lakhtakia

Chapter 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

References

Chapter 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

2.6.1 Isotropic and biisotropic materials

2.6.2 Anisotropic and bianisotropic materials

2.7 Nonlinear materials

Chapter 3 Depolarization dyadics

3.1 Dyadic Green functions

3.1.1 Defining properties

3.1.2 Spectral representation

3.2 Depolarization dyadics

3.2.1 Ellipsoidal region

3.2.2 Spherical region

3.2.3 Cylindrical region

3.3 Polarizability density

Chapter 4 Homogenization formalisms: linear materials

4.1 Preliminaries

4.1.1 Constituent materials

4.1.2 Homogenized composite materials

4.2 Maxwell Garnett formalism

4.2.1 Formulas

4.2.2 Inverse formalism

4.2.3 Incremental and differential formalisms

4.3 Bruggeman formalism

4.3.1 Formulas

4.3.2 Inverse formalism

4.4 Strong-property-fluctuation theory

4.4.1 Introduction

4.4.2 Lowest-order approximation

4.4.3 Second-order approximation

4.4.4 Third-order approximation

4.5 Extended formalisms

Chapter 5 Homogenization formalisms: nonlinear materials

5.1 Preliminaries

5.2 Maxwell Garnett formalism

5.3 Strong-property-fluctuation theory

5.3.1 Isotropic dielectric composite materials

5.3.2 Isotropic chiral composite materials.

5.3.3 Anisotropic dielectric composite materials

Chapter 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

6.3.1 Extended Maxwell Garnett estimate

6.3.2 Extended Bruggeman estimate

6.3.3 Extended SPFT estimate

6.3.4 Scattering loss

6.3.5 Numerical illustration

6.4 Realization of anisotropy and bianisotropy

6.4.1 Biaxial materials

6.4.2 Faraday chiral materials

6.5 Disk-shaped and needle-shaped particles

6.6 Plane-wave phenomenons

6.6.1 Birefringence

6.6.2 Negative phase velocity and negative reflection

6.6.3 Hyperbolic dispersion relations

6.6.4 Voigt waves

6.6.5 Group-speed enhancement

6.7 Inverse homogenization

6.7.1 Columnar thin films

6.7.2 Analogs of curved spacetime

6.8 Limitations for linear materials

6.9 Gain and loss

6.9.1 Enhancement of gain and loss

6.9.2 Simultaneous gain and loss

6.10 Nonlinearity enhancement

Chapter 7 Epilogue

Chapter

B.1 Figure 6.1

B.2 Figure 6.2

B.3 Figures 6.3 and 6.4

B.4 Figure 6.5

B.5 Figure 6.6

B.6 Figure 6.7

B.7 Figure 6.8

B.8 Figure 6.9

B.9 Figure 6.11

B.10 Figures 6.24 and 6.25.

Notes:

Description based on publisher supplied metadata and other sources.

Description based on print version record.

Includes bibliographical references.

ISBN:

9780750341066

0750341068

OCLC:

1429725311