Electromagnetic complex-source beam diffraction by the tip of a circular cone

Bruns, Hendrik; Klinkenbusch, L.; Katsav, M.; Heymant, E.

doi:10.1109/iceaa.2013.6632409

Cited by 6 publications

(2 citation statements)

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“…Using (41b) and (45b) and recalling that r c = r (1,2) c for the DIB/CIB cases, respectively, we obtain using (13) and (11) for r (1,2) c…”

Section: Discussion: Field Structure In the Transition Zonesmentioning

confidence: 97%

“…In [12] we have used this approach for the analysis of two dimensional (2D) beam diffraction by a wedge as a function of the beam parameters: collimation, direction and displacement from the edge. The emphasis in [12] has been placed on exploring various analytical techniques, with a specific goal of extending them to 3D cone diffraction problem (see initial results in [13]- [16]). However, as has been alluded to in [12], the straightforward CS formulation applies only for the case where the incident beam is diverging as it hits the edge but not in the case where the incident beam is converging as it hits the edge (see Figs.…”

Section: Introductionmentioning

confidence: 99%

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Converging and Diverging Beam Diffraction by a Wedge: A Complex-Source Formulation and Alternative Solutions

Katsav

Heyman

2016

IEEE Trans. Antennas Propagat.

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In a previous publication, the problem of 2D beam diffraction by a wedge has been solved via the complex source (CS) approach. However, the straightforward CS formulation may be applied only when the incident beam is diverging as it hits the edge, but not when it is converging as it hits the wedge. In the present paper, we generalize the CS setup so that it can address both problems. The surprising result is that the CS approach can be applied for the converging beam case, but only if the CS coordinates are defined in specific fashion. We then formulate the angular harmonics and the spectral integral representations for both cases, and also derive for both cases, uniform asymptotic expressions for beam diffraction by a wedge. The validity of the results is verified by calculating the diffracted field via each one of these formulations, and comparing them with yet another approach wherein the field of the incident diverging or converging beam is synthesized using a plane wave integral, and the diffracted field is then calculated via multipole expansion. The overall goal of this research is the derivation of techniques for the analysis of 3D beam diffraction by a cone.

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“…Using (41b) and (45b) and recalling that r c = r (1,2) c for the DIB/CIB cases, respectively, we obtain using (13) and (11) for r (1,2) c…”

Section: Discussion: Field Structure In the Transition Zonesmentioning

confidence: 97%