Broadband spatiotemporal differential-operator representations for velocity-dependent scattering

D. Censor

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


A novel approach based on spatiotemporal differential-operators is developed here for broadband, velocity-dependent scattering. Unlike the spectral-domain representations, the new method facilitates a compact formulation for scattering by arbitrary excitation signals, in the presence of moving objects. In free space (vacuum), relativistically exact formulas are developed. After developing the general theory, analysis of relativistically exact free-space scattering by cylinders, and a half-plane, are examined. For cylinders the analysis shows that in the far field pulses are located on circles in the co-moving reference-frame where the object is at-rest. In other reference frames this feature is valid only as an approximation. These results apply also to the diffractive part of the half-plane scattered field. The geometrical-optics contribution is associated with plane-waves and obeys the appropriate transformations. The various zones for these fields in an arbitrary reference-frame are analyzed.

Original languageEnglish
Pages (from-to)51-70
Number of pages20
JournalProgress in Electromagnetics Research
StatePublished - 1 Jan 2006

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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