TY - GEN
T1 - Propagating beam frame
AU - Tuvi, Ram
AU - Heyman, Ehud
AU - Melamed, Timor
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/9/19
Y1 - 2016/9/19
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84992027515&partnerID=8YFLogxK
U2 - 10.1109/URSI-EMTS.2016.7571343
DO - 10.1109/URSI-EMTS.2016.7571343
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AN - SCOPUS:84992027515
T3 - 2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
SP - 169
EP - 172
BT - 2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 14 August 2016 through 18 August 2016
ER -