Dense Sets and Far Field Patterns in Acoustic Wave Propagation
β Scribed by Colton, David; Kirsch, Andreas
- Book ID
- 118202276
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1984
- Tongue
- English
- Weight
- 998 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0515076
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## Abstract In this paper we investigate the direct problem associated with the scattering of βplane wavesβ from an object submerged in an ocean of finite depth. An integral representation for the Dirichlet problem is found, from which a formula for the farβfield pattern evolves. A density theorem
Under a generalized Sommerfeld radiation condition, we proved the uniqueness and existence of the direct obstacle scattering problem of time-harmonic acoustic waves in a stratified medium [8]. In this paper, we study the asymptotic behaviour of the scattered waves and prove three reciprocity relatio