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E - Bibliothèque et Archives Canada

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National Libiaiy mm dC-&

National Libiaiy mm dC-& Bibliothèque nationale du Canada Acquisitions and Acquisitions et Bibliographie Services services bibliographiques The author bas granted a non- exclusive licence dowing the Naîional Library of Canada to reproduce, loan, distriibute or sell copies of this thesis in microform, paper or electronic formats. The author retains ownership of the copyright in this thesis. Neither the thesis nor substantial extracts fkom it may be printed or otherwise reproduced wiîhout the author's permission. L'auteur a accordé une licence non exclusive permettant à la Bibliothèque nationale du Canada de reproduire, prêter, distribuer ou vendre des copies de cette thèse sous la fome de microfiche/6üm, de reproduction sur papier ou sur format électronique. L'auteur conserve la propriété du &oit d'auteur qui protège cette thèse. Ni la thèse ni des extraits substantiels de celle-ci ne doivent être imprimés ou autrement reproduits sans son autorisation.

ABSTRACT Evaluation of the Uniform Theory Of Dhdion for Edge Diiffadon at Low Frequency Riman Shukayr This aiesis examines the üTD diffraction coenicient's limitations in accuracy for a half plane and a wedge a low frequency. The UTD solutions are developed for scattering by a strip and a square cylinder with diffraction considered as a local phenornenon. Single and multiple diffractions are considered, and both TE and TM polarkations are done. As a benchmark, moment methocl solutions are developed for the strip and square cylinder. Pulse basis point matching is used afkr invesügating its adequacy: some moment methd codes that are available in the open literature wem examind; in one instance some modifications m#e required to obtain satisfactory results. For the infinite edge, compatison is done Ath modal solutions and Sommerfeld's exact solution. The UTD dinraction solution reduœs to Sommerfeld's exact solution when the edge is a half plane and the incident field is a plane wave. The equivalenœ of these cases is not obvious and is derived as part of this work. Other conparisons are made with rewlts that are available in the literature. It was fwnd that UTD. when multiple diffraction is takn into account, can be used to cornpute scattemû fields and surface currenb for scatterem as srnall as iii

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