Abstract
The problem of constructing the scattered field for plane-wave incidence on a sinusoidal surface is considered. Above the highest excursion of the surface, the scattered field is written in the usual way as a superposition of upgoing and decaying waves. Linear equations are derived for the coefficients of these waves. Both soft and hard boundaries are considered, as well as arbitrary incidence angle. The equations for the soft boundary condition are similar to those of Uretsky, but the derivation is simpler. The full results for the hard boundary condition are apparently new. Subject Classification: 20.30.
Dates
Type | When |
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Created | 19 years, 10 months ago (Oct. 3, 2005, 6:11 p.m.) |
Deposited | 2 years, 1 month ago (July 24, 2023, 4:32 a.m.) |
Indexed | 1 year, 6 months ago (Feb. 9, 2024, 11:28 a.m.) |
Issued | 50 years, 3 months ago (May 1, 1975) |
Published | 50 years, 3 months ago (May 1, 1975) |
Published Print | 50 years, 3 months ago (May 1, 1975) |
@article{DeSanto_1975, title={Scattering from a sinusoid: derivation of linear equations for the field amplitudes}, volume={57}, ISSN={1520-8524}, url={http://dx.doi.org/10.1121/1.380578}, DOI={10.1121/1.380578}, number={5}, journal={The Journal of the Acoustical Society of America}, publisher={Acoustical Society of America (ASA)}, author={DeSanto, John A.}, year={1975}, month=may, pages={1195–1197} }