Modern Analytical Electromagnetic Homogenization with Mathematica
Title | Modern Analytical Electromagnetic Homogenization with Mathematica PDF eBook |
Author | Tom G MacKay |
Publisher | Myprint |
Pages | 204 |
Release | 2020-12-10 |
Genre | |
ISBN | 9780750334242 |
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
Modern Analytical Electromagnetic Homogenization with Mathematica
Title | Modern Analytical Electromagnetic Homogenization with Mathematica PDF eBook |
Author | Tom G. Mackay |
Publisher | |
Pages | 204 |
Release | 2020-12-04 |
Genre | Science |
ISBN | 9780750334211 |
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
Modern Analytical Electromagnetic Homogenization
Title | Modern Analytical Electromagnetic Homogenization PDF eBook |
Author | T G MacKay |
Publisher | Myprint |
Pages | 130 |
Release | 2015-06-30 |
Genre | |
ISBN | 9781681748085 |
Modern Analytical Electromagnetic Homogenization
Title | Modern Analytical Electromagnetic Homogenization PDF eBook |
Author | Tom G Mackay |
Publisher | Morgan & Claypool Publishers |
Pages | 154 |
Release | 2015-07-01 |
Genre | Science |
ISBN | 1627057099 |
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.
Modern Analytical Electromagnetic Homogenization with Mathematica®
Title | Modern Analytical Electromagnetic Homogenization with Mathematica® PDF eBook |
Author | Tom G. Mackay |
Publisher | |
Pages | |
Release | 2020 |
Genre | SCIENCE |
ISBN | 9780750334228 |
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.
Modern Analytical Electromagnetic Homogenization
Title | Modern Analytical Electromagnetic Homogenization PDF eBook |
Author | Tom G. Mackay |
Publisher | |
Pages | |
Release | 2015 |
Genre | Composite materials |
ISBN | 9781627057400 |
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.
Modern Analytical Electromagnetic Homogenization
Title | Modern Analytical Electromagnetic Homogenization PDF eBook |
Author | Tom G Mackay |
Publisher | Morgan & Claypool Publishers |
Pages | 129 |
Release | 2015-07-01 |
Genre | Science |
ISBN | 1627054278 |
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.