Electromagnetic Heterostructures
Background and Calculation Methods
- 1st Edition - January 22, 2025
- Latest edition
- Author: Christian Brosseau
- Language: English
Electromagnetic Properties of Heterostructures: Background and Calculation Methods covers the fundamental aspects of the electromagnetic properties of heterostructures and the th… Read more
Electromagnetic Properties of Heterostructures: Background and Calculation Methods covers 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. 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 methods
- Covers the most widely used and efficient computational approaches, including effective medium and percolation theory
- Fills the gap between theoretical knowledge learned in the classroom and practical knowledge gleaned through extensive work in the lab
Early-career engineering and materials science researchers working with electromagnetic characteristics of composite materials
Part 1. Elementary concepts and definitions
1. Maxwell equations and basic electromagnetic theory
2. Polarization in a static electric field
3. Polarization and permittivity in an alternating electric field
Part 2. Analytical approaches
4. Prelude: A historical examination
5. Some preliminary considerations
6. Mixing laws
7. Effective-medium approximation: its basis and formulation
8. Bounds for the homogenization of dielectric composite materials
9. Percolation: Crossing the great divide of bulk heterogeneous matter
10. Reciprocity relations and extensions
Part 3. Computational approaches
11. Some preliminary considerations: the problem in context
12. Finite differences method
13. Finite-difference time-domain propagation
14. Finite element method
15. Integral equation approaches
16. Monte Carlo method
17. Other selected methods
Appendices:
Section 1:
A. Analogy between magnetism, thermal conduction, diffusion, flow in a porous medium, and electrostatics
B. Maxwell stress tensor and electrostatic force acting on an isolated body in an electric field
C. Electric dipole and polarizability
D. Solving Laplace’s equation for the CS spherical model
E. Electric modulus
F. Mie theory, quasistatic approximation, and discrete dipole approximation for calculating the optical properties of particles
Section 2:
A. Microstructure characterization and statistical descriptors
B. Percus-Yevick integral equation
C. Selected mixing laws
D:.Herglotz function, sum rules, and bounds on the effective permittivity
E. Incremental MG formalism for homogenizing particulate composite media
1. Maxwell equations and basic electromagnetic theory
2. Polarization in a static electric field
3. Polarization and permittivity in an alternating electric field
Part 2. Analytical approaches
4. Prelude: A historical examination
5. Some preliminary considerations
6. Mixing laws
7. Effective-medium approximation: its basis and formulation
8. Bounds for the homogenization of dielectric composite materials
9. Percolation: Crossing the great divide of bulk heterogeneous matter
10. Reciprocity relations and extensions
Part 3. Computational approaches
11. Some preliminary considerations: the problem in context
12. Finite differences method
13. Finite-difference time-domain propagation
14. Finite element method
15. Integral equation approaches
16. Monte Carlo method
17. Other selected methods
Appendices:
Section 1:
A. Analogy between magnetism, thermal conduction, diffusion, flow in a porous medium, and electrostatics
B. Maxwell stress tensor and electrostatic force acting on an isolated body in an electric field
C. Electric dipole and polarizability
D. Solving Laplace’s equation for the CS spherical model
E. Electric modulus
F. Mie theory, quasistatic approximation, and discrete dipole approximation for calculating the optical properties of particles
Section 2:
A. Microstructure characterization and statistical descriptors
B. Percus-Yevick integral equation
C. Selected mixing laws
D:.Herglotz function, sum rules, and bounds on the effective permittivity
E. Incremental MG formalism for homogenizing particulate composite media
- Edition: 1
- Latest edition
- Published: January 22, 2025
- Language: English
CB
Christian Brosseau
Christian Brosseau is Professor of Physics at the Université de Bretagne Occidentale, Brest, France where he led the wave–matter interaction modelling and simulation group. His research interests include electromagnetic wave propagation in complex media, plasmonics, nanophysics, biological physics, and computational materials physics.
Affiliations and expertise
Professor of Physics, Université de Bretagne Occidentale, Brest, FranceRead Electromagnetic Heterostructures on ScienceDirect