Completeness of Scattering States for Rough Interfaces
Abstract
Using energy conservation and causality considerations, the completeness of scattering states in 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 explicitly included in the Weyl representation of the Green's function in the presence of a rough interface. Rather surface waves are implicitly 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 27, 1992
- Accession Number
- ADA253122
Entities
People
- David H. Berman
Organizations
- University of Iowa