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Low frequency acoustic and electromagnetic scatteringThis paper deals with two classes of problems arising from acoustics and electromagnetics scattering in the low frequency stations. The first class of problem is solving Helmholtz equation with Dirichlet boundary conditions on an arbitrary two dimensional body while the second one is an interior-exterior interface problem with Helmholtz equation in the exterior. Low frequency analysis show that there are two intermediate problems which solve the above problems accurate to 0(k/2/ log k) where k is the frequency. These solutions greatly differ from the zero frequency approximations. For the Dirichlet problem numerical examples are shown to verify the theoretical estimates.
Document ID
19860052060
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Hariharan, S. I.
(Akron, University OH, United States)
Maccamy, R. C.
(Carnegie-Mellon University Pittsburgh, PA, United States)
Date Acquired
August 12, 2013
Publication Date
February 1, 1986
Publication Information
Publication: Applied Numerical Mathematics
Volume: 2
ISSN: 0168-9274
Subject Category
Physics (General)
Accession Number
86A36798
Funding Number(s)
CONTRACT_GRANT: NSF MCS-80-01944
CONTRACT_GRANT: NAS1-17070
Distribution Limits
Public
Copyright
Other

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