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  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E87-C   No.9   pp.1550-1559
Publication Date: 2004/09/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Section on Wave Technologies for Wireless and Optical Communications)
Category: Basic Electromagnetic Analysis
Keyword: 
high-frequency,  asymptotic solution,  dielectric cylinder,  geometrical boundary,  modified UTD,  caustic,  

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Summary: 
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.