On the Integral Formulation of Scalar Wave Scattering by Arbitrary Surfaces,

Abstract

A critical analysis of the integral formulation of scalar wave reflection, diffraction, and scattering by arbitrary surfaces is presented. For the exterior problem the potential formulation is found to be superior to the Green's function and the Helmholtz formula representations of the problem. The potential method leads to a self-consistent specification of the boundary values, and results in terms which in the case of scattering are clearly identifiable as the singly- and multiply-scattered field components. Only the singly-scattered field term is specialized to a form that is convenient for reflected or scattered pressure and intensity calculations. Stochastic techniques are introduced, and it is shown in a formal way how shadowing can be rigorously included in the theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 17, 1970
Accession Number
AD0723845

Entities

People

  • Patrick J. Welton

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Diffraction
  • Integrals
  • Intensity
  • Reflection
  • Scattering
  • Specifications

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering