Analytical expressions for the scattering by an electrically small circular aperture on an infinite conducting ground plane

Marios A. Christou; Anastasis C. Polycarpou

doi:10.1109/EuCAP.2016.7481552

Analytical expressions for the scattering by an electrically small circular aperture on an infinite conducting ground plane

Marios A. Christou, Anastasis C. Polycarpou

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Near-field analytical expressions for the plane-wave scattering from an electrically small circular aperture on an infinite conducting screen were derived based on the Bethe-Bouwkamp (BB) quasi-static model. The formulation of the problem implements the equivalence principle and image theory in order to express the scattered fields in the near zone in terms of the vector potential F→. The vector potential is defined as a surface integral of the first-order BB approximation of the magnetic current on the aperture multiplied by the governing free-space Green's function. The free-space Green's function was expanded using Taylor series, thus producing integrals that can be evaluated analytically for the case where the observation point resides on the axis of the aperture. Results for the scattered electric field along the axis of the aperture, using the obtained closed-form near-field expressions, were validated against recently published results in the literature.

Original language	English
Title of host publication	2016 10th European Conference on Antennas and Propagation, EuCAP 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9788890701863
DOIs	https://doi.org/10.1109/EuCAP.2016.7481552
Publication status	Published - 31 May 2016
Event	10th European Conference on Antennas and Propagation, EuCAP 2016 - Davos, Switzerland Duration: 10 Apr 2016 → 15 Apr 2016

Other

Other	10th European Conference on Antennas and Propagation, EuCAP 2016
Country/Territory	Switzerland
City	Davos
Period	10/04/16 → 15/04/16

Keywords

Electromagnetic scattering
electromagnetic theory
scattering by aperture

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10.1109/EuCAP.2016.7481552

Cite this

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title = "Analytical expressions for the scattering by an electrically small circular aperture on an infinite conducting ground plane",

abstract = "Near-field analytical expressions for the plane-wave scattering from an electrically small circular aperture on an infinite conducting screen were derived based on the Bethe-Bouwkamp (BB) quasi-static model. The formulation of the problem implements the equivalence principle and image theory in order to express the scattered fields in the near zone in terms of the vector potential F→. The vector potential is defined as a surface integral of the first-order BB approximation of the magnetic current on the aperture multiplied by the governing free-space Green's function. The free-space Green's function was expanded using Taylor series, thus producing integrals that can be evaluated analytically for the case where the observation point resides on the axis of the aperture. Results for the scattered electric field along the axis of the aperture, using the obtained closed-form near-field expressions, were validated against recently published results in the literature.",

keywords = "Electromagnetic scattering, electromagnetic theory, scattering by aperture",

author = "Christou, {Marios A.} and Polycarpou, {Anastasis C.}",

year = "2016",

month = may,

day = "31",

doi = "10.1109/EuCAP.2016.7481552",

language = "English",

booktitle = "2016 10th European Conference on Antennas and Propagation, EuCAP 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "10th European Conference on Antennas and Propagation, EuCAP 2016 ; Conference date: 10-04-2016 Through 15-04-2016",

}

Christou, MA & Polycarpou, AC 2016, Analytical expressions for the scattering by an electrically small circular aperture on an infinite conducting ground plane. in 2016 10th European Conference on Antennas and Propagation, EuCAP 2016., 7481552, Institute of Electrical and Electronics Engineers Inc., 10th European Conference on Antennas and Propagation, EuCAP 2016, Davos, Switzerland, 10/04/16. https://doi.org/10.1109/EuCAP.2016.7481552

Analytical expressions for the scattering by an electrically small circular aperture on an infinite conducting ground plane. / Christou, Marios A.; Polycarpou, Anastasis C.
2016 10th European Conference on Antennas and Propagation, EuCAP 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7481552.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Analytical expressions for the scattering by an electrically small circular aperture on an infinite conducting ground plane

AU - Christou, Marios A.

AU - Polycarpou, Anastasis C.

PY - 2016/5/31

Y1 - 2016/5/31

N2 - Near-field analytical expressions for the plane-wave scattering from an electrically small circular aperture on an infinite conducting screen were derived based on the Bethe-Bouwkamp (BB) quasi-static model. The formulation of the problem implements the equivalence principle and image theory in order to express the scattered fields in the near zone in terms of the vector potential F→. The vector potential is defined as a surface integral of the first-order BB approximation of the magnetic current on the aperture multiplied by the governing free-space Green's function. The free-space Green's function was expanded using Taylor series, thus producing integrals that can be evaluated analytically for the case where the observation point resides on the axis of the aperture. Results for the scattered electric field along the axis of the aperture, using the obtained closed-form near-field expressions, were validated against recently published results in the literature.

AB - Near-field analytical expressions for the plane-wave scattering from an electrically small circular aperture on an infinite conducting screen were derived based on the Bethe-Bouwkamp (BB) quasi-static model. The formulation of the problem implements the equivalence principle and image theory in order to express the scattered fields in the near zone in terms of the vector potential F→. The vector potential is defined as a surface integral of the first-order BB approximation of the magnetic current on the aperture multiplied by the governing free-space Green's function. The free-space Green's function was expanded using Taylor series, thus producing integrals that can be evaluated analytically for the case where the observation point resides on the axis of the aperture. Results for the scattered electric field along the axis of the aperture, using the obtained closed-form near-field expressions, were validated against recently published results in the literature.

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KW - electromagnetic theory

KW - scattering by aperture

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ER -

Analytical expressions for the scattering by an electrically small circular aperture on an infinite conducting ground plane

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