Frame-Based Beam-Summation Algorithms for Ultra Wideband Radiation from Extended Apertures

Amir Shlivinski, Ehud Heyman, Amir Boag, Christine Letrou

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Beam based phase-space formulations are an important tool in wave theory since they provide a systematic framework for ray-based construction of spectrally uniform local solutions in complex configurations. An important property of these formulations is that the spectrum of beam propagators is overcomplete and thus may be a priori discretized as, for example, in the Gabor series. The latter, however, is critically complete and hence suffers from two inherent difficulties: (a) Non-locality and instability of the expansion coefficients, and (b) the phase space beam lattice (origins and directions) varies with frequency. Property (b) makes the conventional Gabor-based beam formulation inapplicable for wideband applications since it requires the tracking of different beams for each frequency. Property (a) makes it inconvenient even for monochromatic fields.
Original languageUndefined/Unknown
Title of host publicationUltra-Wideband, Short-Pulse Electromagnetics 6
Place of PublicationBoston, MA
PublisherSpringer US
Pages101-112
Number of pages12
ISBN (Print)978-1-4419-9146-1
StatePublished - 2003

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