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Modern Analytical Electromagnetic Homogenization

Tom G Mackay, Akhlesh Lakhtakia


Electromagnetic homogenization is the process of estimating the effective electromagnetic properties of composite materials in the long-wavelength regime, wherein the length scales of nonhomogeneities are much smaller than the wavelengths involved. This is a bird's-eye-view of currently available homogenization formalisms for particulate composite materials. It presents analytical methods only, with focus on the general settings of anisotropy and bianisotropy. The authors largely concentrate on 'effective' materials as opposed to 'equivalent' materials, and emphasize the fundamental (but sometimes overlooked) differences between these two categories of homogenized composite materials. The properties of an 'effective' material represents those of its composite material, regardless of the geometry and dimensions of the bulk materials and regardless of the orientations and polarization states of the illuminating electromagnetic fields. In contrast, the properties of 'equivalent' materials only represent those of their corresponding composite materials under certain restrictive circumstances.

About Editors

Tom G Mackay graduated from the universities of Edinburgh, Glasgow and Strathclyde. He is a reader in the School of Mathematics at the University of Edinburgh and has been carrying out research on the electromagnetic theory of complex mediums, including homogenized composite materials, for the past 17 years. Akhlesh Lakhtakia is the Charles Godfrey Binder (Endowed) Professor of Engineering Science and Mechanics at the Penn State University. His current research interests extend through electromagnetic fields in complex mediums to engineered biomimicry.

Table of Contents

Introduction to Homogenization / Constitutive Dyadics / Depolarization Dyadics / Homogenization Formalisms: Linear Materials / Homogenization Formalisms: Nonlinear Materials / Epilogue / Appendix


Paperback ISBN: 9780750327930

Ebook ISBN: 9781627057097

DOI: 10.1088/978-1-6270-5427-0

Publisher: Morgan & Claypool Publishers

Series: IOP Series in Electromagnetics and Metamaterials


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