Chapter 3

Mathematical Preliminaries

Masud Mansuripur

Abstract

In preparation for a Fourier analysis of Maxwell’s equations in the following chapter, we describe here the mathematics of Fourier transformation, exploring certain properties of the forward and reverse Fourier operators. Several special functions are also discussed—notable among them, Dirac’s delta-function and various Bessel functions—which appear frequently in Fourier analysis and elsewhere. Simple charge- and current-density distributions serve as exemplary electromagnetic systems that can be readily transformed into the Fourier domain.

Total Pages: 75-97 (23)

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