Propagating beam frame: A novel formulation for time-dependent radiation and scattering

Ram Tuvi, Ehud Heyman, Timor Melamed

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

Abstract

We present a novel strategy for tracking time-dependant waves. The theory is structured upon a discrete phase-space set of pulsed beam (PB) waves (space-time wavepackets), which is shown to constitute an overcomplete frame. We show that the field radiated by any time-dependent volume source distribution (with aperture sources being a special case) can be expanded as a sum of these PB wavefields. The expansion coefficients are obtained by projecting the source distribution over the dual frame set that has essentially the same structure as the basic set. This projection operation is recognized as a windowed Radon transform (WRT) in space-time, hence the frame is denoted as WRT propagating beam frame (WRT-PBF). The formulation generalizes the conventional Green's function and plane wave representations in the time domain. Applications to scattering and inverse scattering will be discussed.

Original languageEnglish
Title of host publication2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages169-172
Number of pages4
ISBN (Electronic)9781509025022
DOIs
StatePublished - 19 Sep 2016
Event2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016 - Espoo, Finland
Duration: 14 Aug 201618 Aug 2016

Publication series

Name2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016

Conference

Conference2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
Country/TerritoryFinland
CityEspoo
Period14/08/1618/08/16

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