Inverse Source Problem: Eigenfunction Analysis of Bojarski's Integral Equation

Abstract

An integral equation elsewhere employed to solve inverse source problems is discussed from the viewpoint of Hilbert Space theory. The eigenfuctions and eigenvalues are determined and the null space is explicitly shown to be infinite dimensional. An existence criterion is established and application is made to the problem of determining sources which radiate maximum power for given input power.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 25, 1976
Accession Number
ADA025297

Entities

People

  • Jack K. Cohen
  • Norman Bleistein

Organizations

  • Denver Research Institute

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Coefficients
  • Delta Functions
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Helmholtz Equations
  • Hilbert Space
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Military Research
  • Real Variables
  • Spherical Harmonics
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering

Technology Areas

  • Space