𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Boundary conditions in acoustic scattering with respect to the reciprocity relation

✍ Scribed by Jörg Reissinger

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
571 KB
Volume
16
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A new concept associated with the reciprocity relation in acoustic scattering is introduced. Motivated by this well‐known relation, which holds in all the classical cases, more general boundary value problems for the scalar Helmholtz equation are studied. These generalized boundary conditions are characterized by the validity of the reciprocity relation and seem to be an appropriate unification of a large class of boundary value problems in acoustic scattering. The well‐known results for the classical problems can be extended to this general case and also new connections with the question about existence and uniqueness of solutions to the boundary value problems can be derived. A constructive procedure shows that this approach is applicable for a large class of boundary conditions.

📜 SIMILAR VOLUMES

Inverse scattering problem for Sturm–Lio
Inverse scattering problem for Sturm–Liouville operator with nonlinear dependence on the spectral parameter in the boundary condition
✍ Kh. R. Mamedov; N. P. Kosar 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 172 KB

The inverse problem of the scattering theory for Sturm-Liouville operator on the half line with boundary condition depending quadratic on the spectral parameter is considered. Scattering data are defined, some properties of the scattering data are examined, the main equation is obtained, solvability