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Poloidal and toroidal fields in geomagnetic field modeling.

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Abstract

The application of surface operator theory to poloidal and toroidal fields in geomagnetic field modeling is described. Surface operators are obtained for the dimensionless surface gradient; the dimensionless surface curl; the dimensionless surface Laplacian, as well as for the Funk-Hecke operators, integral operators, and axisymmetric kernels. Methods are given for interpreting satellite measurements of the geomagnetic field B, assuming B is can vary significantly and rapidly with time, and there are electric fields in the sample. Approximation schemes for ionospheric currents are also described.


Publication:

Reviews of Geophysics

Pub Date:
February 1986
DOI:

10.1029/RG024i001p00075

Bibcode:
1986RvGeo..24...75B
Keywords:
  • Field Theory (Physics);
  • Geomagnetism;
  • Ionospheric Currents;
  • Magnetic Field Configurations;
  • Operators (Mathematics);
  • Satellite Observation;
  • Helmholtz Equations;
  • Laplace Transformation;
  • Magnetic Disturbances;
  • Mie Scattering;
  • Poloidal Flux;
  • Toroids;
  • Vectors (Mathematics);
  • Geomagnetic Field:Models