Modern Analytical Electromagnetic Homogenization
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Modern Analytical Electromagnetic Homogenization
Author | : Tom G Mackay,Akhlesh Lakhtakia |
Publsiher | : Morgan & Claypool Publishers |
Total Pages | : 99 |
Release | : 2015-07-01 |
Genre | : Science |
ISBN | : 9781627057097 |
Download Modern Analytical Electromagnetic Homogenization Book in PDF, Epub and Kindle
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
Author | : T G MacKay |
Publsiher | : Myprint |
Total Pages | : 130 |
Release | : 2015-06-30 |
Genre | : Electronic Book |
ISBN | : 1681748088 |
Download Modern Analytical Electromagnetic Homogenization Book in PDF, Epub and Kindle
Modern Analytical Electromagnetic Homogenization with Mathematica
Author | : Tom G. Mackay,Akhlesh Lakhtakia |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2020 |
Genre | : SCIENCE |
ISBN | : 0750334223 |
Download Modern Analytical Electromagnetic Homogenization with Mathematica Book in PDF, Epub and Kindle
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 with Mathematica
Author | : Tom G. Mackay,Akhlesh Lakhtakia |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2020 |
Genre | : Composite materials |
ISBN | : 0750334231 |
Download Modern Analytical Electromagnetic Homogenization with Mathematica Book in PDF, Epub and Kindle
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
Author | : Tom G. Mackay,Akhlesh Lakhtakia |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2015 |
Genre | : Composite materials |
ISBN | : 1627057404 |
Download Modern Analytical Electromagnetic Homogenization Book in PDF, Epub and Kindle
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 with Mathematica
Author | : Tom G MacKay |
Publsiher | : Myprint |
Total Pages | : 204 |
Release | : 2020-12-10 |
Genre | : Electronic Book |
ISBN | : 075033424X |
Download Modern Analytical Electromagnetic Homogenization with Mathematica Book in PDF, Epub and Kindle
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
Author | : Tom G Mackay,Akhlesh Lakhtakia |
Publsiher | : Morgan & Claypool Publishers |
Total Pages | : 129 |
Release | : 2015-07-01 |
Genre | : Science |
ISBN | : 9781627054270 |
Download Modern Analytical Electromagnetic Homogenization Book in PDF, Epub and Kindle
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.
Infinite Space Dyadic Green Functions in Electromagnetism
Author | : Muhammad Faryad,Akhlesh Lakhtakia |
Publsiher | : Morgan & Claypool Publishers |
Total Pages | : 165 |
Release | : 2018-08-13 |
Genre | : Science |
ISBN | : 9781681745572 |
Download Infinite Space Dyadic Green Functions in Electromagnetism Book in PDF, Epub and Kindle
In any linear system, the input and the output are connected by means of a linear operator. When the input can be notionally represented by a function that is null valued everywhere except at a specific location in spacetime, the corresponding output is called the Green function in field theories. Dyadic Green functions are commonplace in electromagnetics, because both the input and the output are vector functions of space and time. This book provides a survey of the state-of-the-art knowledge of infinite space dyadic Green functions.