We consider the Dirichlet boundary value problem for the Helmholtz equation in a non-locally perturbed half-plane, this problem arising in electromagnetic scattering by one-dimensional rough, perfectly conducting surfaces. We propose a new boundary integral equation formulation for this problem, uti
Kernels for solving problems of dirichlet type in a half-plane
β Scribed by Mark Finkelstein; Stephen Scheinberg
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 276 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper we shall define an inverse problem for the Helmholtz equation with imaginary part of the wave number being positive. The Cauchy data are known on the boundary of the half plane, but it is not known where the half axis, lying vertically in the upper half plane, is situated.
Dedicated to Professor George C. Hsiao on the occasion of his 60th birthday
## Abstract This work is based on the constructive existence proof of solutions of a comprehensive class of nonβlinear free boundaryβvalue problems of plane hydrodynamics by E. Zeidler (1971). A general computational method was developed and illustrated on the specific case of permanent heavy waves
In this paper, the boundary element method (BEM) is used to model acoustic radiation and scattering from bodies of arbitrary shape in close proximity of an infinite plane that has a general impedance boundary condition. A new half-space Green's function for positive reactance boundary conditions is