Boundary Conditions for Magnetic Field Gradients Inside a Source-Free Volume

Abstract

Magnetic potentials, potential gradients, and combinations of the two serve as boundary conditions for solutions to Laplace's equation. From these boundary conditions unique solutions for magnetic potential and field are obtained inside the volume of space that is enclosed by the boundary. In this paper, sufficiency boundary conditions are derived that ensure unique solutions for gradients in magnetic field inside the bounded volume. The derived general boundary conditions are expressed in terms of directional derivatives of magnetic field.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1999
Accession Number
ADA362760

Entities

People

  • John J. Holmes

Organizations

  • Naval Surface Warfare Center Carderock Division

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Coordinate Systems
  • Directional
  • Equations
  • Information Operations
  • Magnetic Fields
  • Military Research
  • Naval Operations
  • Standards
  • Surface Warfare
  • Systems Science
  • Warfare

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space