On the Inversion of the Magnetic Field lth - Derivative Equations for a Point 2 to the lth power -Pole Magnetic Field

Abstract

A general procedure is outlined for inverting the magnetic field derivative equations for a point 2 (to the l power)-pole magnetic field. The procedure is believed to be valid for arbitrary l although an explicit proof has been obtained only for l = 0, 1, and 2. The details for l = 2 are included. Utilization of the procedure permits a determination of the bearing of the source and the scaled multipole moments of the source; i.e., the moments divided by a power of the source-to-detector distance, from a knowledge of the field derivatives at a single space point only. The procedure makes use of a spherical basis representation in which only the independent multipole moments and field derivatives occur.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA109862

Entities

People

  • Charles P. Frahm

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Antisubmarine Warfare
  • Coefficients
  • Equations
  • Euler Angles
  • Magnetic Dipoles
  • Magnetic Fields
  • Magnetic Moments
  • Momentum
  • Naval Operations
  • Navy
  • Quadrupole Moment
  • Quantum Mechanics
  • Quantum Properties
  • Submarine Warfare
  • Undersea Warfare
  • Warfare

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Space