Approximate Expansion for Function Theoretic Representation of Solutions of the Helmholtz Equation
Abstract
This document is based on a presentation given at the American Mathematical Society National Meeting, New Orleans, Louisiana, January 1986. We start from a function theoretic (transmutation) representation of the solutions of the class of Helmholtz equations that have coefficients that vary in one direction and satisfy a radiation condition in orthogonal directions. The kernal of the required transmutation operator satisfies a mixed Cauchy-Gorsat problem for a hyperbolic partial differential equation in two variables. We present an expansion of the kernal function that can be truncated to produce approximations that are suitable for applications for the desired transmutations, and we compare to other approximation techniques.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 03, 1987
- Accession Number
- ADA227339
Entities
People
- David H. Wood
- Mark D. Duston
- Robert P. Gilbert
Organizations
- Lehigh University