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Kontorovich-Lebedev Integrals in Electromagnetic Scattering and Radiation Problems

Osipov, Andrey (2007) Kontorovich-Lebedev Integrals in Electromagnetic Scattering and Radiation Problems. In: URSI 2007 (CD-ROM). Union Radio-Scientifique Internationale (URSI) North American Radio Science Meeting, 2007-07-22 - 2007-07-26, Ottawa, Canada. ISBN 978-0-9738425-2-4.

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The paper explains the Kontorovich-Lebedev (KL) integral convergence issues from the viewpoint of the KL integral transformation and presents a version of the KL method which is particularly well suited for solving problems of radiation and scattering of waves with real-valued wave numbers. The approach treats the KL integrals as analytic functions of the wave number and uses the fact that the KL integrals improve their convergence as the imaginary part of the wave number grows. During the construction of a solution the wave number is assumed to be purely imaginary to ensure convergence of the involved field representations. Once the solution is constructed, the integral representation is analytically continued to a desired, for example, real, value of the wave number. The paper shows that the pole singularity in the KL integrand function is to be understood in the principal value sense. For practical evaluation of the solution, one may transform the KL integral into either a series of Bessel functions or a Sommerfeld integral. The former representation is particularly useful in the low-frequency limit, whereas the latter is ideally suited for deriving high-frequency approximations of the wave fields.

Item URL in elib:https://elib.dlr.de/50967/
Document Type:Conference or Workshop Item (Speech)
Title:Kontorovich-Lebedev Integrals in Electromagnetic Scattering and Radiation Problems
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Date:July 2007
Journal or Publication Title:URSI 2007 (CD-ROM)
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Keywords:Beugung, elektromagnetische Wellen, Integraldarstellung, Keil, Kegel, Kontorovich-Lebedev Transformation, Streuung
Event Title:Union Radio-Scientifique Internationale (URSI) North American Radio Science Meeting
Event Location:Ottawa, Canada
Event Type:international Conference
Event Dates:2007-07-22 - 2007-07-26
Organizer:International Union of Radio Science (URSI)
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:21 Aug 2007
Last Modified:27 Apr 2009 14:17

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