Electromagnetic Properties of Heterostructures: Background and Calculation Methods

Dramatic improvements in our ability to simulate complicated physical systems using computers have highlighted the need to have an advanced reference for early-career scientists and research workers. This book is the first to treat, in a comprehensive fashion, the fundamental aspects of the electromagnetic properties of heterostructures and the theoretical knowledge of the computational techniques needed to understand dielectric phenomena in quantitative and physical terms. The book re-establishes the conceptual foundations of the physics associated with numerical simulation tools of the Laplace or the Poisson equations, and shows their immediate implementation. This book is theoretical, but it is by no means meant to be read only by those who want to become theorists. It is relevant for all practicing engineers and materials scientists who develop composite materials that are capable of handling specified technological requirements by utilizing their electromagnetic properties. Explains the basic concepts of the dielectric behavior of heterostructures and discusses how they relate to existing computational methodsCovers the most widely used and efficient computational approaches, including effective medium and percolation theoryFills the gap between theoretical knowledge learned in the classroom and practical knowledge gleaned through extensive work in the lab INDICE: Part 1. Elementary concepts and definitions Chapter 1.1 Maxwell equations and basic electromagnetic theoryChapter 1.2 Polarization in a static electric fieldChapter 1.3 Polarization and permittivity in an alternating electric field Part 2. Analytical approaches Chapter 2.1 Prelude: A historical examinationChapter 2.2 Some preliminary considerationsChapter 2.3 Mixing lawsChapter 2.4 Effective-medium approximation: its basis and formulationChapter 2.5 Bounds for the homogenization of dielectric composite materialsChapter 2.6 Percolation: Crossing the great divide of bulk heterogeneous matterChapter 2.7 Reciprocity relations and extensions Part 3. Computational approaches Chapter 3.1 Some preliminary considerations: the problem in contextChapter 3.2 Finite differences methodChapter 3.3 Finite-difference time-domain propagationChapter 3.4 Finite element methodChapter 3.5 Integral equation approachesChapter 3.6 Monte Carlo methodChapter 3.7 Other selected methods Appendices:Section 1:Appendix 1A: Analogy between magnetism, thermal conduction, diffusion, flow in a porous medium, and electrostaticsAppendix 1B: Maxwell stress tensor and electrostatic force acting on an isolated body in an electric fieldAppendix 1C: Electric dipole and polarizabilityAppendix 1D: Solving Laplace’s equation for the CS spherical modelAppendix 1E: Electric modulusAppendix 1F: Mie theory, quasistatic approximation, and discrete dipole approximation for calculating the optical properties of particlesSection 2:Appendix 2A: Microstructure characterization and statistical descriptorsAppendix 2B: Percus-Yevick integral equationAppendix 2C: Selected mixing lawsAppendix 2D: Herglotz function, sum rules, and bounds on the effective permittivityAppendix 2E: Incremental MG formalism for homogenizing particulate composite media

• ISBN: 978-0-443-33540-2
• Editorial: Woodhead Publishing
• Encuadernacion: Rústica
• Páginas: 400
• Fecha Publicación: 01/02/2025
• Nº Volúmenes: 1
• Idioma: Inglés