Novel High-Frequency Asymptotic Solutions in the Transition Regions near Geometrical Boundaries and near Caustics for Scattering by a Dielectric Cylinder

Teruhiko IDA; Toyohiko ISHIHARA

Novel High-Frequency Asymptotic Solutions in the Transition Regions near Geometrical Boundaries and near Caustics for Scattering by a Dielectric Cylinder

Teruhiko IDA, Toyohiko ISHIHARA

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Novel high-frequency asymptotic solutions for the scattered fields by a dielectric circular cylinder with a radius of curvature sufficiently larger than the wavelength are presented in this paper. We shall derive the modified UTD (uniform Geometrical Theory of Diffraction) solution, which is applicable in the transition regions near the geometrical boundaries produced by the incident ray on the dielectric cylinder from the tangential direction. Also derived are the uniform geometrical ray solutions applicable near the geometrical boundaries and near the caustics produced by the ray family reflected on the internal concave boundary of the dielectric cylinder. The validity and the utility of the uniform solutions are confirmed by comparing with the exact solution obtained from the eigenfuction expansion.

Publication: IEICE TRANSACTIONS on Electronics Vol.E87-C No.9 pp.1550-1559

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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Teruhiko IDA, Toyohiko ISHIHARA, "Novel High-Frequency Asymptotic Solutions in the Transition Regions near Geometrical Boundaries and near Caustics for Scattering by a Dielectric Cylinder" in IEICE TRANSACTIONS on Electronics, vol. E87-C, no. 9, pp. 1550-1559, September 2004, doi: .
Abstract: Novel high-frequency asymptotic solutions for the scattered fields by a dielectric circular cylinder with a radius of curvature sufficiently larger than the wavelength are presented in this paper. We shall derive the modified UTD (uniform Geometrical Theory of Diffraction) solution, which is applicable in the transition regions near the geometrical boundaries produced by the incident ray on the dielectric cylinder from the tangential direction. Also derived are the uniform geometrical ray solutions applicable near the geometrical boundaries and near the caustics produced by the ray family reflected on the internal concave boundary of the dielectric cylinder. The validity and the utility of the uniform solutions are confirmed by comparing with the exact solution obtained from the eigenfuction expansion.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e87-c_9_1550/_p

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@ARTICLE{e87-c_9_1550,
author={Teruhiko IDA, Toyohiko ISHIHARA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Novel High-Frequency Asymptotic Solutions in the Transition Regions near Geometrical Boundaries and near Caustics for Scattering by a Dielectric Cylinder},
year={2004},
volume={E87-C},
number={9},
pages={1550-1559},
abstract={Novel high-frequency asymptotic solutions for the scattered fields by a dielectric circular cylinder with a radius of curvature sufficiently larger than the wavelength are presented in this paper. We shall derive the modified UTD (uniform Geometrical Theory of Diffraction) solution, which is applicable in the transition regions near the geometrical boundaries produced by the incident ray on the dielectric cylinder from the tangential direction. Also derived are the uniform geometrical ray solutions applicable near the geometrical boundaries and near the caustics produced by the ray family reflected on the internal concave boundary of the dielectric cylinder. The validity and the utility of the uniform solutions are confirmed by comparing with the exact solution obtained from the eigenfuction expansion.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Novel High-Frequency Asymptotic Solutions in the Transition Regions near Geometrical Boundaries and near Caustics for Scattering by a Dielectric Cylinder
T2 - IEICE TRANSACTIONS on Electronics
SP - 1550
EP - 1559
AU - Teruhiko IDA
AU - Toyohiko ISHIHARA
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E87-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 2004
AB - Novel high-frequency asymptotic solutions for the scattered fields by a dielectric circular cylinder with a radius of curvature sufficiently larger than the wavelength are presented in this paper. We shall derive the modified UTD (uniform Geometrical Theory of Diffraction) solution, which is applicable in the transition regions near the geometrical boundaries produced by the incident ray on the dielectric cylinder from the tangential direction. Also derived are the uniform geometrical ray solutions applicable near the geometrical boundaries and near the caustics produced by the ray family reflected on the internal concave boundary of the dielectric cylinder. The validity and the utility of the uniform solutions are confirmed by comparing with the exact solution obtained from the eigenfuction expansion.
ER -