Poloidal and toroidal fields in geomagnetic field modeling

Mathematics

Scientific paper

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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)

Scientific paper

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.

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