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.
Item URL in elib: | https://elib.dlr.de/44959/ | ||||||||||||
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Document Type: | Article | ||||||||||||
Title: | Electromagnetic fields in the presence of an infinite dielectric wedge | ||||||||||||
Authors: |
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Date: | 2006 | ||||||||||||
Journal or Publication Title: | Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineerung Siences | ||||||||||||
Refereed publication: | Yes | ||||||||||||
Open Access: | No | ||||||||||||
Gold Open Access: | No | ||||||||||||
In SCOPUS: | No | ||||||||||||
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 (old) | ||||||||||||
DLR - Research area: | Aeronautics | ||||||||||||
DLR - Program: | L AR - Aircraft Research | ||||||||||||
DLR - Research theme (Project): | L - Military Technologies (old) | ||||||||||||
Location: | Oberpfaffenhofen | ||||||||||||
Institutes and Institutions: | Microwaves and Radar Institute > Microwave Systems Microwaves and Radar Institute | ||||||||||||
Deposited By: | Osipov, Dr. Andrey | ||||||||||||
Deposited On: | 30 Oct 2006 | ||||||||||||
Last Modified: | 27 Apr 2009 13:08 |
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