Journal article
Completeness of scattering states for rough interfaces
Annals of physics, Vol.220(2), pp.212-228
12/01/1992
DOI: 10.1016/0003-4916(92)90361-O
Abstract
Using energy conservation and causality considerations, the completeness of scattering states is established for plane waves impinging on an irregular interface. Provided certain limiting operations commute with differentiation, it is shown that surface waves need not be explicity included in the Weyl representation of the Green's function in the presence of a rough interface. Rather, surface waves are implicity included through the poles of the scattering amplitudes. This result was used implicitly in a recently developed scheme to treat scattering in a duct using half-space scattering amplitudes (Berman,
J. Acoust. Soc. Am.
92 (1992), 309–314).
Details
- Title: Subtitle
- Completeness of scattering states for rough interfaces
- Creators
- David H. Berman - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Annals of physics, Vol.220(2), pp.212-228
- Publisher
- Elsevier Inc
- DOI
- 10.1016/0003-4916(92)90361-O
- ISSN
- 0003-4916
- eISSN
- 1096-035X
- Language
- English
- Date published
- 12/01/1992
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984627248602771
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