TY - JOUR

T1 - Beam frame representation for ultrawideband radiation from volume source distributions

T2 - Frequency-domain and time-domain formulations

AU - Tuvi, Ram

AU - Heyman, Ehud

AU - Melamed, Timor

N1 - Publisher Copyright:
© 1963-2012 IEEE.

PY - 2019/2

Y1 - 2019/2

N2 - We present two novel beam-summation schemes for radiation from time-harmonic or time-dependent volume source distributions, where the field is expanded using a discrete phase-space set of beam-wave propagators. The generic term 'beams' is used here for both the frequency-domain and the time-domain formulations where the propagators are isodiffracting Gaussian beam or isodiffracting pulsed beams, respectively. The formulations are structured upon the recently formulated 'beam-frame' theorem that establishes these phase-space beam sets as frame sets everywhere in the propagation domain and not only over the aperture plane as in previous formulations. The expansion coefficients are obtained by projecting the source distributions over the dual beam-frame sets that have essentially the same structure as the basic sets. As such, these formulations constitute local generalization to the conventional plane waves or Green's function formulations, and also reduce the overall degrees of freedom needed to describe the radiated field. As demonstrated by the numerical examples, they resolve the local features of the source distributions in space time, and hence provide a basis for a new local inverse scattering theory to be presented subsequently.

AB - We present two novel beam-summation schemes for radiation from time-harmonic or time-dependent volume source distributions, where the field is expanded using a discrete phase-space set of beam-wave propagators. The generic term 'beams' is used here for both the frequency-domain and the time-domain formulations where the propagators are isodiffracting Gaussian beam or isodiffracting pulsed beams, respectively. The formulations are structured upon the recently formulated 'beam-frame' theorem that establishes these phase-space beam sets as frame sets everywhere in the propagation domain and not only over the aperture plane as in previous formulations. The expansion coefficients are obtained by projecting the source distributions over the dual beam-frame sets that have essentially the same structure as the basic sets. As such, these formulations constitute local generalization to the conventional plane waves or Green's function formulations, and also reduce the overall degrees of freedom needed to describe the radiated field. As demonstrated by the numerical examples, they resolve the local features of the source distributions in space time, and hence provide a basis for a new local inverse scattering theory to be presented subsequently.

KW - Beam-summation (BS) methods

KW - Gaussian beams (GB)

KW - phase-space representations

KW - pulsed beams (PB)

KW - radiation theory

KW - time domain (TD)

KW - ultrawideband (UWB)

UR - http://www.scopus.com/inward/record.url?scp=85058449598&partnerID=8YFLogxK

U2 - 10.1109/TAP.2018.2882219

DO - 10.1109/TAP.2018.2882219

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85058449598

SN - 0018-926X

VL - 67

SP - 1010

EP - 1024

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 2

M1 - 8540867

ER -