Representation of Acoustic Waves in Unbounded Domains
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.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- October 2002
- Bibcode:
- 2002STIN...0300624A
- Keywords:
-
- Sound Generators;
- Sound Waves;
- Acoustics;
- Electromagnetic Radiation;
- Inverse Scattering;
- Computation;
- Hilbert Space;
- Theorems;
- Domains;
- Geometry;
- Acoustics