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PUBLICATIONS

A Representation of Acoustic Waves in Unbounded Domains

Published

Author(s)

Bradley K. Alpert, 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
NIST Interagency/Internal Report (NISTIR)
Pub Type
NIST Pubs

Download Paper

https://doi.org/10.6028/NIST.IR.6623

Keywords

electromagnetic waves, Green's second theorem, Hilbert space, inverse scattering, orthonormal basis scattering

Citation

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 October 14, 2025)

Issues

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Created October 1, 2002, Updated November 10, 2018
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