The Inverse Source Problem for Maxwell's Equations

Abstract

The inverse source problem for Maxwell's equations is considered. We show that the problem of finding a volume current density from surface measurements does not have a unique solution, and we characterize the non-uniqueness. We also show that if further information is available the inverse source problem may have a unique solution. The method is useful for the quantitative determination of interior brain currents from surface electroencephalographic measurements. The application is to prosthesis control.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 2006
Accession Number
ADA459256

Entities

People

  • Peter Monk
  • Richard A. Albanese

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Boundary Value Problems
  • Current Density
  • Electric Fields
  • Electromagnetic Fields
  • Electromagnetic Properties
  • Equations
  • Governments
  • Information Operations
  • Inverse Problems
  • Measurement
  • Prostheses And Implants
  • Prosthetics
  • Radiation
  • Variational Equations
  • Wave Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Neuroscience