✦ LIBER ✦
Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite depth ocean
✍ Scribed by R. P. Gilbert; Yongzhi Xu
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 294 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The scattering of a ‘plane wave’ off a submerged body situated in an ocean of finite depth is investigated. The index of refraction is considered to be depth‐independent. It is shown that the far field is not unique; hence, the problem of determining the shape of an object from its far field is not well‐posed. If solutions are sought among a restricted class of problems the ‘dense set’ property implies that the problem can be made well‐posed.