The focus of this thesis is on the use of wave splitting in electromagnetic direct and inverse
scattering problems. Wave splitting offers a decomposition of wave fields into appropriate …

A new finite-difference time-domain (FDTD) algorithm is introduced to solve two dimensional
(2D) transverse magnetic (TM) modes with a straight dispersive interface. Driven by the …

ABSTRACT A review of basic papers related to development and implementation of rather
efficient mathematical methods aimed at formation of Green's functions for various types of …

In this paper a wave splitting technique is applied to a homogeneous Timoshenko beam.
The purpose is to obtain a diagonal equation in terms of the split fields. These fields are …

Wave propagators are introduced for transient wave propagation in a general one-
dimensional medium. The definition of wave propagators is based upon a wave splitting …

An inverse medium scattering problem for a homogeneous slab of anisotropic dispersive
medium is presented. The inverse problem is to recover the dyadic susceptibility kernel from …

A non-iterative time-domain method for solving the inverse scattering problem for the
temporally dispersive, linear, homogeneous, and bi-isotropic slab at normal incidence is …

A mixed initial-boundary value problem for a nonlocal, hyperbolic equation is analyzed with
respect to unique solubility and causality. The regularity of the step response and impulse …

In this article, a non-iterative method for solving the transient electromagnetic inverse
scattering problem for a homogeneous, dispersive bi-isotropic slab is considered. The slab …

Using well-established time domain methods, Sommerfeld's classical results for the
forerunner (the first precursor) at distant points in a homogeneous, isotropic, and dispersive …