Convergent Long Wavelength Expansions Method for Two Dimensional Scattering Problems,
Abstract
A conformal transformation is used to map the exterior of a scatterer of arbitrary shape into the exterior of a circle, thus replacing an awkwardly-shaped scatterer by a varying index of refraction. This variation in the index of refraction is treated perturbatively by taking for the unperturbed problem the problem of scattering from a circle. Generally applicable bounds on the region of convergence of the perturbative solution are obtained and evaluated numerically for the case of Dirichlet boundary conditions. Error bounds on the remainder after n iterations are given. The method is illustrated by explicity calculation of the scattering from an infinite strip. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1972
- Accession Number
- AD0753135
Entities
People
- Edwin W. Pfaff
- Ralph E. Kleinman
- Robert N. Hill
Organizations
- University of Delaware