Modern Analytical Electromagnetic Homogenization with Mathematica (Second Edition)

Dr. Tom G. Mackay, Professor Akhlesh Lakhtakia


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.

Key Features

  • Explicit formulas provided for the homogenization of isotropic, anisotropic, and bianisotropic composite materials
  • Numerical data provided for a wide range of representative homogenized composite materials
  • Includes Mathematica codes to enable readers to readily perform their own calculations

About Editors

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.  

Table of Contents


Hardback ISBN: 9780750334211

Ebook ISBN: 9780750334235

DOI: 10.1088/978-0-7503-3423-5

Publisher: Institute of Physics Publishing


« Back