Open AccessTransverse magnetic field of infinite line source placed on ground surface
Author(s) -
Parise M.
Publication year - 2015
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2015.0636
Subject(s) - transverse plane , line source , surface (topology) , magnetic field , exponential function , mathematical analysis , plane (geometry) , series (stratigraphy) , line (geometry) , ground plane , physics , boundary (topology) , field (mathematics) , boundary value problem , convergence (economics) , mathematics , computational physics , geometry , optics , engineering , geology , electrical engineering , paleontology , structural engineering , quantum mechanics , economic growth , antenna (radio) , pure mathematics , economics
An exact explicit expression is derived for the Sommerfeld integral describing the surface transverse magnetic field generated by an infinite line source placed on a plane air–earth boundary. The spatial distribution of the transverse magnetic field is given in series form, as a linear combination of exponential functions. The accuracy and convergence rate of the proposed formulation are investigated through numerical simulations.