Low Frequency Neumann Scattering Problems in Two Dimensions.
Abstract
A new method is given to solve the exterior Neumann scattering problem in the plane. This method depends upon a new integral equation formulation of the Helmholtz equation with prescribed Neumann boundary conditions for piecewise smooth, simple closed curves, which is continuous as the field point approaches the curve gamma from the exterior, is continuous for all points on gamma including those portions where gamma is not smooth and the integrand is bounded, even at the singularities of the free space Green's function. It is proven that for sufficiently small but nonzero values of the wave number, if gamma is strictly convex, the field on gamma may be found by a standard Neumann series. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0746067
Entities
People
- John F. Ahner
Organizations
- University of Delaware