Toroidal-Poloidal Decompositions of Electromagnetic Green’s Functions in Geomagnetic Induction

Jin Sun ()
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Jin Sun: ETH Zürich, Institute of Geophysics

A chapter in Handbook of Geomathematics, 2015, pp 921-938 from Springer

Abstract: Abstract In this chapter, we make use of electromagnetic Green’s functions to analyze quasi-static electromagnetic fields outside and inside the domain of external current sources. Scalar potential representation of the magnetic field in a source-free domain is readily derived from the physical currents using Green’s functions. It may be shown that, although the electric field generated by external sources has a poloidal mode component, this component causes no induction inside a conductive ground and vanishes at the surface of a conductive ground in the transverse directions. An effective external current source represented as a toroidal source is thus justified for low-frequency natural source induction such as natural source magnetotellurics and geomagnetic global inductions.

Keywords: Transverse Electric; Toroidal Field; Poloidal Field; Spherical Harmonic Degree; Helmholtz Decomposition (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-54551-1_66

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DOI: 10.1007/978-3-642-54551-1_66

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