Affiliations: [a] Department of Mathematics, Faculty of Education, Kafer
El-Sheikh University, Kafer El-Sheikh, Egypt | [b] Department of Mathematics, Faculty of Science, Ain
Shams University, Abbassia, Cairo, Egypt | [c] Department of Mathematics, Faculty of Science, Tanta
University, Tanta, Egypt
Correspondence:
[*]
Corresponding author: Khaled M. El-Morabie, Department of
Mathematics, Faculty of Science, Tanta University, Tanta 31511, Egypt. E-mail:
[email protected]
Abstract: This paper is concerned with a theoretical solution to the problem
of TE-Scattering radio waves by a buried object in a three-layered medium. The
region of interest consists of three homogenous layered medium, the object of
an inhomogeneous material with respect to its layer. With the aid of
geometrical optics technique, this paper analyzes the influence of the buried
object on the scattered magnetic field from the layered medium. Closed-form
expressions for the far-field of a VMD, located above the ground surface, are
obtained due to the buried object under the ground. This technique takes into
consideration all the probabilities of plane waves under and above the ground
to calculate the total reflection coefficient. The extra-scattered field due to
the perturbation in the earth magnetic field has been obtained by solving
Sommerfeld integrals (SI). The solution of SI has been based on the
stationary-phase point method. The obtained results are compared with those
mentioned in three- layered free buried objects.
