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A system of new integral equations is presented. They are derived from Maxwell's equations and describe radio-frequency (RF) current densities on a two-dimensional flat plate. The equations are generalisations of Pocklington's integral equation showing phase-retardation in two dimensions. These singular equations are solved, numerically, for the case of one-dimensional geometry. The solutions are shown to display effects which correspond to damped resonance when the wavelength of the current matches aspects of the geometry of the conductor. © Australian Mathematical Society 2004.

Original publication

DOI

10.1017/S1446181100013523

Type

Journal article

Journal

ANZIAM Journal

Publication Date

01/04/2004

Volume

45

Pages

495 - 510