14 research outputs found
The Generalized Solutions of a System of Maxwell's Equations for the Uniaxial Anisotropic Media
The Generalized Solutions of a System of Maxwell's Equations for the Uniaxial Anisotropic Media
A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic field expressions and the emergence of the Surface Waves
The well-known "Sommerfeld radiation problem" of a small -Hertzian- vertical
dipole above flat lossy ground is reconsidered. The problem is examined in the
spectral domain, through which it is proved to yield relatively simple integral
expressions for the received Electromagnetic (EM) field. Then, using the Saddle
Point method, novel analytical expressions for the scattered EM field are
obtained, including sliding observation angles. As a result, a closed form
solution for the subject matter is provided. Also, the necessary conditions for
the emergence of the so-called Surface Wave are discussed as well. A complete
mathematical formulation is presented, with detailed derivations where
necessary.Comment: 14 pages, 3 figures, Submitted for publication to "Progress in
Electromagnetics Research" (PIER) at 21/09/201
Rigorous 2D Model for Study of Pulsed and Monochromatic Waves Propagation Near the Earth’s Surface
A model problem considered in the paper allows solving rather complex 2D problems of the electromagnetic wave propagation with a required accuracy using conventional personal computers. The problems are of great importance for the theory and practical applications. The association of FDTD schemes with exact absorbing conditions makes up the basis for constructing models of the kind. This approach reduces the original open initial boundary value problems to the equivalent closed problems which can be solved numerically using the standard grid methods