Locations of Zeros for Electromagnetic Fields Scattered by Polygonal Objects

Masahiro HASHIMOTO

Locations of Zeros for Electromagnetic Fields Scattered by Polygonal Objects

Masahiro HASHIMOTO

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Scattering of the two dimensional electromagnetic waves is studied by the infinite sequences of zeros arising on the complex plane, which just correspond to the null points of the far field pattern given as a function of the azimuthal angle θ. The convergent sequences of zeros around the point of infinity are evaluated when the scattering objects are assumed to be N-polygonal cylinders. Every edge condition can be satisfied if the locations of zeros are determined appropriately. The parameters, which allow us to calculate the exact positions of zeros, are given by the asymptotic analysis. It is also shown that there are N-directions of convergence, which tend to infinity. An illustrative example is presented.

Publication: IEICE TRANSACTIONS on Electronics Vol.E87-C No.9 pp.1595-1606

Publication Date: 2004/09/01

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Type of Manuscript: Special Section PAPER (Special Section on Wave Technologies for Wireless and Optical Communications)

Category: Basic Electromagnetic Analysis

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Masahiro HASHIMOTO, "Locations of Zeros for Electromagnetic Fields Scattered by Polygonal Objects" in IEICE TRANSACTIONS on Electronics, vol. E87-C, no. 9, pp. 1595-1606, September 2004, doi: .
Abstract: Scattering of the two dimensional electromagnetic waves is studied by the infinite sequences of zeros arising on the complex plane, which just correspond to the null points of the far field pattern given as a function of the azimuthal angle θ. The convergent sequences of zeros around the point of infinity are evaluated when the scattering objects are assumed to be N-polygonal cylinders. Every edge condition can be satisfied if the locations of zeros are determined appropriately. The parameters, which allow us to calculate the exact positions of zeros, are given by the asymptotic analysis. It is also shown that there are N-directions of convergence, which tend to infinity. An illustrative example is presented.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e87-c_9_1595/_p

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@ARTICLE{e87-c_9_1595,
author={Masahiro HASHIMOTO, },
journal={IEICE TRANSACTIONS on Electronics},
title={Locations of Zeros for Electromagnetic Fields Scattered by Polygonal Objects},
year={2004},
volume={E87-C},
number={9},
pages={1595-1606},
abstract={Scattering of the two dimensional electromagnetic waves is studied by the infinite sequences of zeros arising on the complex plane, which just correspond to the null points of the far field pattern given as a function of the azimuthal angle θ. The convergent sequences of zeros around the point of infinity are evaluated when the scattering objects are assumed to be N-polygonal cylinders. Every edge condition can be satisfied if the locations of zeros are determined appropriately. The parameters, which allow us to calculate the exact positions of zeros, are given by the asymptotic analysis. It is also shown that there are N-directions of convergence, which tend to infinity. An illustrative example is presented.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Locations of Zeros for Electromagnetic Fields Scattered by Polygonal Objects
T2 - IEICE TRANSACTIONS on Electronics
SP - 1595
EP - 1606
AU - Masahiro HASHIMOTO
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E87-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 2004
AB - Scattering of the two dimensional electromagnetic waves is studied by the infinite sequences of zeros arising on the complex plane, which just correspond to the null points of the far field pattern given as a function of the azimuthal angle θ. The convergent sequences of zeros around the point of infinity are evaluated when the scattering objects are assumed to be N-polygonal cylinders. Every edge condition can be satisfied if the locations of zeros are determined appropriately. The parameters, which allow us to calculate the exact positions of zeros, are given by the asymptotic analysis. It is also shown that there are N-directions of convergence, which tend to infinity. An illustrative example is presented.
ER -