U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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 12, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created October 1, 2002, Updated November 10, 2018