A pulsed beam summation formulation for short pulse radiation based on windowed Radon transform (WRT) frames

Amir Shlivinski, Ehud Heyman, Amir Boag

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


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.

Original languageEnglish
Pages (from-to)3030-3048
Number of pages19
JournalIEEE Transactions on Antennas and Propagation
Issue number9
StatePublished - 1 Sep 2005


  • Beam summation representations
  • Frame theory
  • Phase space
  • Pulsed beams (PBs)
  • Time domain (TD) radiation theory
  • Ultrawide-band (UWB)
  • Windowed Fourier transform (WFT)
  • Windowed Radon transform (WRT)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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