Low-frequency illumination by an E wave of infinitely long, parallel, perfect conductors

07 July 2017

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The low-frequency illumination by an E wave of one or more perfectly conducting cylinders of arbitrary shape is studied. The induced current, the radiation pattern and the scattering cross section exhibit a frequency dependent logarithmic and the complete, frequency independent part in their low frequency behavior. They can be derived from an equivalent radius, which depends on the shape of the conductor. The relative current on each conductor of a bundle is studied in detail. Asymptotic expressions are derived when the conductors of a bundle are loosely coupled. Results are presented for a single conductor with various shapes, ellipse, rectangle, diamond, rounded rectangle and regular polygon, as well as for a number of symmetrical and asymmetrical bundles of circular conductors.