Transition Problems for the Helmholtz Equation.

Abstract

The transition problem for time harmonic acoustic diffraction for two homogeneous media is considered. The source is in an infinite medium in which the second medium is immersed. The interface is either Lyapunov or piecewise Lyapunov. The problem is cast into weakly singular integral equations and regularized integral equations for the total field and its normal derivative. The Neumann series obtained by a simple iteration is shown to converge for some conditions. The iteration appears simpler than the corresponding Born Approximation method. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0771589

Entities

People

  • R. Kittappa

Organizations

  • University of Delaware

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Born Approximations
  • Diffraction
  • Equations
  • Helmholtz Equations
  • Integral Equations
  • Integrals
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.