Modern analytical electromagnetic homogenization with Mathematica® /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mackay, Tom G. (Autor), Lakhtakia, A. (Akhlesh), 1957- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]
Edición:Second edition.
Colección:IOP ebooks. 2020 collection.
Temas:
Mathematica (Computer file)
Composite materials > Electric properties.
Composite materials > Magnetic properties.
Electromagnetism.
Electricity, electromagnetism & magnetism.
SCIENCE / Physics / Electromagnetism.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • 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
  • 2.7. Nonlinear materials
  • 3. Depolarization dyadics
  • 3.1. Dyadic Green functions
  • 3.2. Depolarization dyadics
  • 3.3. Polarizability density
  • 4. Homogenization formalisms: linear materials
  • 4.1. Preliminaries
  • 4.2. Maxwell Garnett formalism
  • 4.3. Bruggeman formalism
  • 4.4. Strong-property-fluctuation theory
  • 4.5. Extended formalisms
  • 5. Homogenization formalisms: nonlinear materials
  • 5.1. Preliminaries
  • 5.2. Maxwell Garnett formalism
  • 5.3. Strong-property-fluctuation theory
  • 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
  • 6.4. Realization of anisotropy and bianisotropy
  • 6.5. Disk-shaped and needle-shaped particles
  • 6.6. Plane-wave phenomenons
  • 6.7. Inverse homogenization
  • 6.8. Limitations for linear materials
  • 6.9. Gain and loss
  • 6.10. Nonlinearity enhancement
  • 7. Epilogue.

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