The technologies related to electromagnetic waves go back to Hertz, Marconi and the radar systems
of World War II. The knowledge gained during those eras propelled the subsequent development of
microwave and satellite communications and the ubiquitous wireless technology of today. Understanding
electromagnetic scattering is pivotal in the applications of radar target identification, underground
geophysical probing as well as security applications such as airport scanners and seeing through walls.
Computational electromagnetic modelling is a key element in the design of commercial and military aircraft,
and navy ships, where the placement of dozens of collocated antennas must be carefully considered,
so that intersystem interference can be mitigated.
Researchers behind these and other advances in technology need to understand both the classical
theory of electromagnetics and modern techniques for solving Maxwell’s equations. To this end, this
book provides a graduate-level treatment of selected topics. Chapters 1 and 2 present background material
on Maxwell’s equations, plane waves and rigorous and approximate boundary conditions. Chapter 3
develops solutions for rectangular, cylindrical and dielectric waveguides and resonators. In Chapter 4,
some crucial theorems, principles and potential theory are explained in detail. Chapter 5 presents the
solutions to some canonical problems that have an exact solution, such as the cylinder, wedge and sphere.
Chapter 6 describes the method of moments. Chapter 7 covers the finite element method. Chapter 8 is
about the uniform geometrical theory of diffraction, and Chapter 9 covers physical optics and the physical
theory of diffraction. Chapters 10–12 are about Green’s functions and their applications.
Analytical methods provide physical insights that are valuable in the design process and the invention
of new devices. The separation of variables method is applied to waveguides, cylinders, wedges and other
canonical shapes. Asymptotic methods address the evaluation of integrals, as well as diffraction theory.
Green’s function concepts are presented in the two-dimensional (2D) scalar and three-dimensional (3D)
dyadic forms, and their interpretation is given in relation to the surface equivalence principle.
Numerical methods are indispensable as they allow us to solve highly arbitrary and realistic problems
that the purely analytical techniques cannot. The method of moments and the finite element method
are described in dedicated chapters. The level of presentation allows the reader to immediately begin
applying the methods to some problems of moderate complexity. It also provides an explanation of the
underlying theory so that its capabilities and limitations can be understood. This has value as it helps one
make informed decisions when using modern CAD tools