volume | PIER Journals

2005-11-16

Broadband Spatiotemporal Differential-Operator Representations for Velocity-Dependent Scattering

Dan Censor

Dr. Dan Censor

Department of Electrical and Computer Engineering

Ben-Gurion University of the Negev

Israel

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, Vol. 58, 51-70, 2006

doi:10.2528/PIER05052502

Abstract

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 ob ject 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.

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Dan Censor, "Broadband Spatiotemporal Differential-Operator Representations for Velocity-Dependent Scattering," , Vol. 58, 51-70, 2006.
doi:10.2528/PIER05052502

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