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An algorithm for generating Meixner’s series

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.

Document Type:Conference or Workshop Item (Speech)
Additional Information:LIDO-Berichtsjahr=2003
Title:An algorithm for generating Meixner’s series
Authors:
AuthorsInstitution or Email of Authors
Osipov, AndreyUNSPECIFIED
Date:2003
Journal or Publication Title:PIERS 2003
Refereed publication:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:p. 183
Editors:
EditorsEmail
The Electromagnetics Academy, Cambridge, Massachusetts, USA., UNSPECIFIED
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
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
Deposited By: Dr. Andrey Osipov
Deposited On:30 Jan 2006
Last Modified:06 Jan 2010 19:47

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