TITLE:
Determination of the Electromagnetic Field Created by Line Current and Sheet Current Source at the Earth’s Surface
AUTHORS:
Ghada M. Sami, Maryam I. Al-Nami
KEYWORDS:
Electromagnetic Field, Transient Analysis, Series Expansions
JOURNAL NAME:
International Journal of Geosciences,
Vol.5 No.13,
December
25,
2014
ABSTRACT: The electromagnetic field
that generated by line current and sheet current at the surface of the earth
can be expressed in analytical form. The line current created at the earth’s
surface by an infinitely long line current is given by the inverse Fourier
integrals over a horizontal wave number. The sheet current can be obtained by
integrating the line current expansions using a Neumann and Struve functions;
these functions have known mathematical properties, including the series
expansions. The series expansions are exact with neglecting the displacement
currents. Assuming a uniform earth and that there is no propagation, the three
nonzero field components can be expressed in terms of the Neumann and Struve
functions. The integrals of line current expansions are calculated by using the
numerical methods. The results represented graphically and illustrated by
figures. Results can be used to evaluate numerical solutions of more
complicated modeling algorithms.