Osipov, Andrey (2003) An algorithm for generating Meixner’s series. In: PIERS 2003, p. 183. PIERS 2003, 2003-10-13 - 2003-10-16, Honolulu, USA.
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Official URL: http://www.emacademy.org/piers2k3/session.html
Abstract
Divergence at edges is a fundamental property of solutions of Maxwell’s equations. About 30 years ago Josef Meixner proposed a method for analysis of the field behavior at edges. His recipe was to search for local solutions of Maxwell’s equations in the form of power series in the distance from the edge. The approach allows us to determine the order of singularity (at an edge) but the construction of the local solutions themselves has turned out to be very difficult. This paper introduces an approach, called the method of edge functions, that is a logical extension of the Meixner’s method. The approach not only recovers the Meixner’s results for the field behavior at edges, but also permits a complete specification of the local solutions.
Item URL in elib: | https://elib.dlr.de/6105/ | ||||||||
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Document Type: | Conference or Workshop Item (Speech) | ||||||||
Additional Information: | LIDO-Berichtsjahr=2003 | ||||||||
Title: | An algorithm for generating Meixner’s series | ||||||||
Authors: |
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Date: | 2003 | ||||||||
Journal or Publication Title: | PIERS 2003 | ||||||||
Refereed publication: | No | ||||||||
Open Access: | No | ||||||||
Gold Open Access: | No | ||||||||
In SCOPUS: | No | ||||||||
In ISI Web of Science: | No | ||||||||
Page Range: | p. 183 | ||||||||
Editors: |
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Status: | Published | ||||||||
Keywords: | dielectric wedge, field divergence, edge functions | ||||||||
Event Title: | PIERS 2003 | ||||||||
Event Location: | Honolulu, USA | ||||||||
Event Type: | international Conference | ||||||||
Event Dates: | 2003-10-13 - 2003-10-16 | ||||||||
Organizer: | The Electromagnetics Academy | ||||||||
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 | ||||||||
Deposited By: | Osipov, Dr. Andrey | ||||||||
Deposited On: | 30 Jan 2006 | ||||||||
Last Modified: | 06 Jan 2010 19:47 |
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