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The electromagnetic field in a layered earth induced by an arbitrary stationary current distribution
Author(s) -
Kristensson Gerhard
Publication year - 1983
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs018i003p00357
Subject(s) - current (fluid) , computation , distribution (mathematics) , electromagnetic field , convergence (economics) , field (mathematics) , dipole , mathematical analysis , physics , mathematics , quantum mechanics , algorithm , pure mathematics , economics , thermodynamics , economic growth
The subject of this paper is to calculate the fields in a layered earth induced by a current distribution. A general formulation is presented, which contains very few restrictions of the current distribution. For the simplest current distributions (dipole, circular, and rectangular loops) we derive expressions for the fields, which contain a single integral (Sommerfeld type). Numerical computations are presented for the above mentioned sources, and some techniques for increasing the rate of convergence are discussed.