Presents the introductory theory and applications of Maxwell's equations to electromagnetic field problems. Unlike other texts, Maxwell's equations and the associated vector mathematics are developed early in the work, allowing readers to apply them at the outset. Its unified treatment of coordinate systems saves time in developing the rules for vector manipulations in ways other than the rectangular coordinate system. The following chapters cover static and quasi-static electric and magnetic fields, wave reflection and transmission at plane boundaries, the Poynting power theorem, rectangular waveguide mode theory, transmission lines, and an introduction to the properties of linear antennas and aperture antennas. Includes an expanded set of problems, many of which extend the material developed in the chapters.
For scientists, research engineers, physicists and postgraduate students, this work introduces the essential aspects of electromagnetic waves in chiral and bi-isotropic media, to give the practical working knowledge necessary for new application development. It includes sections on effective methods of measurement, how chiral and BI media affect electromagnetic fields and wave propagation, and how to apply the theory to basic problems in waveguide, antenna and scattering analysis.
This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section, in turn, uses a plethora of mathematical techniques in the investigation of these three problems. Among the techniques used in the book the reader will find integral equations based on Green's functions, various inequalities between the kinetic and potential energy, and integral identities which are indispensable for proving the uniqueness theorems. For constructing examples of non-uniqueness usually referred to as 'trapped modes' the so-called inverse procedure is applied. Linear Water Waves will serve as an ideal reference for those working in fluid mechanics, applied mathematics, and engineering.
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