In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

First, the rough surface scattering problem is formulated from a statistical point of view. Then,
different numerical schemes that permit one to solve Maxwell equations without …

Photonic technology promises much faster computing, massive parallel processing, and an
evolutionary step in the digital age. The search continues for devices that will enable this …

Various methods for efficiently solving electromagnetic problems are presented.
Electromagnetic scattering problems can be roughly classified into surface and volume …

The method of auxiliary sources (MAS) is a numerical technique, alternative to the standard
surface integral-equation formulation, suitable for solving elliptic boundary-value problems …

Highly accurate computations of surface plasmons in metallic nanostructures with various
geometries are presented. Calculations for cylinders with irregular cross section, coupled …

The Method of Auxiliary Sources (MAS) is formulated and applied to solution of wide-band
electromagnetic induction problems involving highly conducting and possibly permeable …

Methods employing auxiliary sources are applied to electromagnetic scattering problems by
2-D noncircular scatterers. Specific cases are considered for which the singularities of the …

A generalized E-field formulation for three-dimensional scattering from perfectly conducting
bodies and generalized coupled operator equations for three-dimensional scattering from …

A generalized operator equation has been developed for a simple scattering problem for
which a closed-form solution exists. The operator equation has been solved numerically via …