We develop the shape derivative analysis of solutions to the problem of scattering of time-harmonic electromagnetic waves by a bounded penetrable obstacle. Since boundary integral equations are a classical tool to solve electromagnetic scattering problems, we study the shape differentiability properties of the standard electromagnetic boundary integral operators. To this end, we start with the ...

This paper presents a general formulation to investigate the scattering from Multilayer Lossy Inhomogeneous Metamaterial Planar Structure (MLIMPS) with arbitrary number of layers and polarization. First, the dominating differential equation of transverse components of electromagnetic fields in each layers derived. Considering the general form of solution of the differential equations and the bo...

The so-called sum rule for the extinction cross section has been the subject of several publications. However, it has not been obtained directly from the macroscopic Maxwell equations but rather follows from heuristic causality considerations. It is argued that these causality considerations are, in fact, questionable and do not follow from the fundamental concept of electromagnetic scattering ...

A numerical algorithm for the reconstruction of the permittivity of a three-dimensional penetrable object from scattering data is presented. The reconstruction algorithm is based on the local shape function method (LSF) combined with the conjugate gradient method with FFT (CGFFT). The nonlinearity due to the multiple scattering is accounted for in an iterative minimization scheme. Numerical exa...

We develop a fully vectorial formalism for the investigation of electromagnetic scattering in polarizable backgrounds, i.e., where the scatterers are not in vacuum but situated in a medium with a dielectric permittivity different from unity. Our approach is based on the Green’s tensor technique and the corresponding Green’s tensors for two-dimensional ~2D! and three-dimensional ~3D! systems are...

During the last several decades, electromagnetic scattering from multiple cylinders has been an active research topic of in many areas, such as microwave remote sensing, theory of photonic crystals, atmospheric sciences, and so on. Rigorous theoretical treatment is therefore of critical importance. A large body of available studies in the literature concerns with two dimensional scattering, suc...

Time and frequency domain analysis of electromagnetic plane wave scattering from chiral media are presented. The frequency domain solution deals with two-dimensional scatterers using a boundary value and an iterative techniques for the scattering from a number of parallel circular cylinders forming a scatterer of arbitrary cross-section. The time domain solution is based on a scattered field fi...