ELECTROMAGNETIC SCATTERING APPROXIMATIONS REVISITED

Nonlinear Approximations for Electromagnetic Scattering from Electrical and Magnetic Inhomogeneities

We extend linear and nonlinear approximations for electromagnetic fields to a medium with inhomogeneous distribution of both electrical and magnetic material properties. These approximations are presented in the form of tensor integrals over a domain with anomalous pa­ rameters . The developed approximations combine the linear and nonlinear estimations depending on the ratio of complex conducti...

An analysis of electromagnetic scattering from finite-width strips

High-order approximations to the Mie–series for electromagnetic scattering in three dimensions

Approximations to the Mie–series are fundamental in many applications. In particular, for validation of efficient electromagnetic scattering algorithms (to compute the radar cross section of three dimensional targets) or to understand the electromagnetic scattering by rain drops, it is important to evaluate the Mie–series with accuracy close to machine precision. In this paper, we propose a qua...

Electromagnetic Scattering by a Homogeneous Chiral Obstacle: Boundary Integral Equations and Low-Chirality Approximations

Time-harmonic electromagnetic waves are scattered by a homogeneous chiral obstacle. The corresponding transmission problem is reduced to a pair of coupled integral equations over S, where S is the interface between the obstacle and the surrounding medium. This is done using a generalization of the Stratton–Chu representation that is valid for chiral media. The integral equations obtained are a ...

Low-Frequency Electromagnetic Scattering

The main result of this paper is to reduce the calculation of higher-order terms in the asymptotic expansions of the electric and magnetic elds at low frequencies to the solutions of certain canonical problems. We also provide a new and simple variational proof of the convergence of the electric and magnetic elds solutions of the scattering problem for the Maxwell equations as the frequency goe...