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A Representation of Acoustic Waves in Unbounded Domains



Bradley K. Alpert, Yu-Hsuan Chen


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.
NIST Interagency/Internal Report (NISTIR) - 6623
Report Number


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


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], (Accessed April 16, 2024)
Created October 1, 2002, Updated November 10, 2018