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Electromagnetic fields in the presence of an infinite dielectric wedge

Osipov, Andrey and Salem, Mohamed and Kamel, Aladin (2006) Electromagnetic fields in the presence of an infinite dielectric wedge. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineerung Siences, 462, pp. 2503-2522. DOI: 10.1098/rspa.2006.1691.

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Abstract

Electromagnetic fields excited by a line source in the presence of an infinite dielectric wedge with refractive index N are determined by application of the Kontorovich–Lebedev transform. Singular integral equations for spectral functions are solved by perturbation procedure, and the solution is obtained in the form of a Neumann series in powers of $1-N^{-2}$. The devised numerical scheme permits evaluation of the higher-order terms and, thus, extends the perturbation solution to values of N not necessarily close to unity. Asymptotic approximations for the near and far fields inside and outside the dielectric wedge are derived. The combination of the Neumann-type expansion of the transform functions with the representation of the field as a Bessel function series extends solutions derived with the Kontorovich–Lebedev method to the case of real-valued wavenumbers and arbitrarily positioned source and observer. Numerical results showing the influence of wedges with various values of dielectric and magnetic constants on the directivity of a line source are presented and verified through finite-difference frequency-domain simulations.

Document Type:Article
Title:Electromagnetic fields in the presence of an infinite dielectric wedge
Authors:
AuthorsInstitution or Email of Authors
Osipov, AndreyUNSPECIFIED
Salem, MohamedNew Jersey Institute of Technology, Newark, USA
Kamel, AladinAdvanced Industrial, Technological and Engineering Center, Cairo, Egypt
Date:2006
Journal or Publication Title:Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineerung Siences
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:462
DOI:10.1098/rspa.2006.1691
Page Range:pp. 2503-2522
Series Name:A
Status:Published
Keywords:dielectric wedge, electromagnetic diffraction, Green’s function, Helmholtz equation, Kontorovich–Lebedev transform, perturbation method
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Military Technologies
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute > Microwave Systems
Microwaves and Radar Institute
Deposited By: Dr. Andrey Osipov
Deposited On:30 Oct 2006
Last Modified:27 Apr 2009 13:08

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