TY - JOUR
T1 - A pulsed beam summation formulation for short pulse radiation based on windowed Radon transform (WRT) frames
AU - Shlivinski, Amir
AU - Heyman, Ehud
AU - Boag, Amir
N1 - Funding Information:
Manuscript received November 23, 2003. The work of E. Heyman was supported in part by the Israel Science Foundation under Grant 216/02. The work of A. Boag was supported in part by the Israel Science Foundation under Grants 577/00 and 224/03.
PY - 2005/9/1
Y1 - 2005/9/1
N2 - A new time domain (TD) representation for radiation from apertures, wherein the field is expanded in a discrete lattice of shifted, tilted, and retarded pulsed beam (PB) propagators is proposed. The PB representation provides a uniformly accurate systematic framework for ray-based tracking of ultra-wide-band transient fields in complex configurations, e.g., slowly or abruptly varying inhomogeneous media. The excitation coefficients of the PBs are extracted from the aperture source distribution via a new "discretized local slant stack transform." The formulation is structured upon a new class of frames, termed windowed Radon transform frames. The sets of expansion and analysis functions are shown to be dual frames, thus, facilitating representation of arbitrary bandlimited source fields. Explicit expressions for the processing windows (the analysis frame set) and for the PB propagators (the expansion set) are provided for the class of isodiffracting PBs. Accuracy of the PB expansion technique is demonstrated for a focusing aperture case, that tends to fail the conventional ray shooting schemes.
AB - A new time domain (TD) representation for radiation from apertures, wherein the field is expanded in a discrete lattice of shifted, tilted, and retarded pulsed beam (PB) propagators is proposed. The PB representation provides a uniformly accurate systematic framework for ray-based tracking of ultra-wide-band transient fields in complex configurations, e.g., slowly or abruptly varying inhomogeneous media. The excitation coefficients of the PBs are extracted from the aperture source distribution via a new "discretized local slant stack transform." The formulation is structured upon a new class of frames, termed windowed Radon transform frames. The sets of expansion and analysis functions are shown to be dual frames, thus, facilitating representation of arbitrary bandlimited source fields. Explicit expressions for the processing windows (the analysis frame set) and for the PB propagators (the expansion set) are provided for the class of isodiffracting PBs. Accuracy of the PB expansion technique is demonstrated for a focusing aperture case, that tends to fail the conventional ray shooting schemes.
KW - Beam summation representations
KW - Frame theory
KW - Phase space
KW - Pulsed beams (PBs)
KW - Time domain (TD) radiation theory
KW - Ultrawide-band (UWB)
KW - Windowed Fourier transform (WFT)
KW - Windowed Radon transform (WRT)
UR - http://www.scopus.com/inward/record.url?scp=27644432144&partnerID=8YFLogxK
U2 - 10.1109/TAP.2005.854550
DO - 10.1109/TAP.2005.854550
M3 - Article
AN - SCOPUS:27644432144
SN - 0018-926X
VL - 53
SP - 3030
EP - 3048
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 9
ER -