paper 150204114529

Published: 2015-07-09

Electromagnetic Scattering-matrix Theories Based on Plane Waves and Complex-source Beams

Thorkild B. Hansen

Seknion Inc., USA

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Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)398-402

Abstract

Two scattering-matrix theories for time-harmonic fields in three dimensions are pre- sented: (i) a plane-wave theory with a directional spectrum that is obtained through a complex- source point substitution procedure, and (ii) a complex-source beam theory based on a beam expansion of spherical multipole fields. Scattering matrices for plane-wave expansions, which determine the plane-wave spectrum of the scattered field of an object due to an incoming plane wave, are readily available. The analogous scattering matrices based on complex-source beams will be derived from Waterman’s T matrices. These scattering matrices determine the beam weights for the scattered field in terms of the output of elementary beam receivers, which sample the incident field at complex points in space. The two scattering-matrix formulations will also be compared with Kerns plane-wave theory.

Citation

Thorkild B. Hansen, "Electromagnetic Scattering-matrix Theories Based on Plane Waves and Complex-source Beams," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)398-402

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