Poloidal and toroidal fields in geomagnetic field modeling.
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 FunkHecke 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