Non-Uniqueness in the Inverse Source Problem in Acoustics and Electromagnetics.

Abstract

It is shown that there exist physically realizable acoustic and electromagnetic sources for which the radiated field is exactly zero. Alternative analytical characterizations of these non-radiating sources are presented. Recently developed formulations of the inverse problem in acoustics and electromagnetics are introduced. The source is given as a solution of a Fredholm integral equation of the first kind. It is shown that the null space for this integral equation in each case is the class of non-radiating sources.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1975
Accession Number
ADA019510

Entities

People

  • Jack K. Cohen
  • Norman Bleistein

Organizations

  • Denver Research Institute

Tags

DTIC Thesaurus Topics

  • Acoustics
  • Equations
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Mathematical Analysis

Fields of Study

  • Mathematics
  • Physics

Readers

  • Acoustical Oceanography.
  • Calculus or Mathematical Analysis
  • Nuclear Non-Proliferation and International Security

Technology Areas

  • Space