Alpert, B.
and Chen, Y.
(2002),
A Representation of Acoustic Waves in Unbounded Domains, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://doi.org/10.6028/NIST.IR.6623
(Accessed April 16, 2024)
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A Representation of Acoustic Waves in Unbounded Domains
Published
Author(s)
, Yu-Hsuan Chen
Abstract
Compact, time-harmonic, acoustic sources produce waves that decay too slowly to be square-integrable on a line away from the sources. We introduce an inner product, arising directly from Green's second theorem, to form a Hilbert space of these waves, and present examples of its computation.Citation
NIST Interagency/Internal Report (NISTIR) - 6623
Report Number
6623
NIST Pub Series
Pub Type
NIST Pubs
Download Paper
Keywords
electromagnetic waves, Green's second theorem, Hilbert space, inverse scattering, orthonormal basis scattering
Citation
Created October 1, 2002, Updated November 10, 2018