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An analytic solution for verification of computer models for low‐frequency magnetic induction
Author(s) -
Dawson Trevor W.,
Stuchly Maria A.
Publication year - 1997
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 - 10.1029/96rs03791
Subject(s) - electromagnetic induction , conductivity , magnetic field , computational physics , low frequency , excitation , electromagnetic field , physics , function (biology) , scale (ratio) , mathematical analysis , electric field , extremely low frequency , nuclear magnetic resonance , mathematics , quantum mechanics , electromagnetic coil , astronomy , evolutionary biology , biology
This paper considers the analytical solution to the problem of low‐frequency induction by an applied axial uniform magnetic field, in an equatorially stratified sphere having the conductivity distribution σ ( ϕ ) = σ 0 e −λcos( p ϕ) , where p ∈ {1, 2} is a periodicity factor, λ > 0 is a conductivity contrast parameter, σ 0 is a conductivity scale factor, and ϕ is the equatorial angle. The resulting induced electric and current density fields are fully three‐dimensional. While of interest in its own right, the model should prove useful in the validation of low‐frequency electromagnetic computer modeling codes. The development includes a full discussion of the underlying Green's function, which can also be used for modeling induction by alternative excitation fields.