June 1981 | Other NBS Monograph 162

Plane-Wave Scattering-Matrix Theory of Antennas and Antenna-Antenna Interactions

doi: 10.6028/NBS.MONO.162

David M. Kerns

Abstract:

This monograph is distinguished by the use of plane-wave spectra for the representation of fields in space and by the consideration of antenna-antenna (and antenna-scatterer) interactions at arbitrary separation distances. The plane-wave representation is eminently suitable for this purpose as well as for the expression of conventional asymptotic quantities of antenna theory, such as power gain, effective area, and polarization. The primary objective of the monograph is to facilitate the critical acceptance and proper application of antenna and field measurement techniques deriving more or less directly from the plane-wave scattering-matrix (PWSM) theory of antennas and antenna-antenna interactions. A secondary objective is to present some recent and some new theoretical results based on this theory. The three chapters of this monograph provide (a) an introduction to the basic theory and practice of microwave network analysis (which form an inescapable part of microwave antenna measurement expertise); (b) a thorough formulation of the PWSM theory of antennas and antenna-antenna interactions, including analytical techniques for derived measurement methods; and (c) recent and new theoretical results and analytical examples. Topics in (c) include: a convenient and attractive reformulation of the PWSM theory; some theory of minimum scattering antennas; theory of classes of completely solvable antenna-antenna interaction problems; and convergent, asymptotic expansions of transmission- and reflection-integrals in reciprocal powers of r0, where r0 is the magnitude of the relative displacement vector r0 and the direction of r0 is a parameter.

Keywords: antenna measurements; antenna theory; antenna-antenna systems; antenna-scatterer systems; microwave antenna theory; scattering-matrix description of antennas

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