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The Quarterly Journal of Mechanics and Applied Mathematics 1999 52(4):489-497; doi:10.1093/qjmam/52.4.489
© 1999 by Oxford University Press
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The well-posedness of the integral equations for thin wire antennas with distributional incidental fields

BP Rynne

( Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK. E-mail: bryan@ma.hw.ac.uk )

In this paper we extend previous results on the well-posedness of the Pocklington and Hallen integral equations for the current induced on a thin wire by an incident harmonic electromagnetic field to the case where the incident field may lie in a certain function space of distributions. This function space includes the special case of a Dirac {delta}-function incident field which is widely used to model dipole antennas.


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