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Response of Transmission Lines in Proximity to a Cylindrical Scatterer
Author(s) -
Harrison Charles W.
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds1967291083
Subject(s) - cylinder , superposition principle , transmission line , optics , radius , electrical impedance , field (mathematics) , physics , acoustics , input impedance , antenna (radio) , coupling (piping) , line (geometry) , plane (geometry) , geometry , electric power transmission , mathematics , mathematical analysis , electrical engineering , computer science , engineering , computer security , quantum mechanics , pure mathematics , mechanical engineering
A wire is run very close to the surface of a highly conducting cylinder and parallel to its axis. The cylinder is longer and of much larger radius than the wire. Arbitrary values of impedance are connected between the ends of the wire and the cylinder. One objective of this study is to develop formulas for the currents in the load impedances when the transmission line formed by the wire and its image is driven by the nonuniform field consisting of the superposition of the incident plane‐wave field and the backscattered field from the cylinder. A second objective is to obtain formulas for the load currents in the terminating impedances of a transmission‐line loop oriented parallel to and in the near‐zone field of the cylinder. Coupling to the image two‐wire line is taken into account. Since the theory depends fundamentally on the field very close to an unloaded cylindrical receiving antenna of moderate diameter, a portion of the paper is devoted to a short‐cut procedure for obtaining expressions for this field which satisfy the boundary conditions. A brief tabulation of integral values required in the theory is supplied.