Inverse electromagnetic scattering problems by a doubly periodic structure

Inverse Medium Scattering Problems for Electromagnetic Waves

Consider a time-harmonic electromagnetic plane wave incident on a medium enclosed by a bounded domain in R3. In this paper, existence and uniqueness of the variational problem for forward scattering are established. An energy estimate for the scattered field with a uniform bound with respect to the wavenumber is obtained in the case of low frequency on which the Born approximation is based. A c...

An inverse electromagnetic scattering problem for periodic chiral structures

In this paper, we study the reconstruction of the chirality admittance of periodic chiral structures. The media is homogeneous and the structure is periodic in one direction and invariant in another direction. The electromagnetic fields inside the chiral medium are governed by Maxwell equations together with the Drude-Born-Fedorov equations. We simplify the problem to a two-dimensional inverse ...

The Inverse Electromagnetic Scattering

We consider the electromagnetic inverse scattering problem of determining the support of an orthotropic or anisotropic anomaly in a homogeneous background medium from a knowledge of the electric far eld pattern corresponding to the scattering of electromagnetic plane waves. Our aim is to derive a linear integral equation of the rst kind from which the support of the anomaly can be found by exam...

A Boundary Perturbation Method for Vector Electromagnetic Scattering from Families of Doubly Periodic Gratings

In this paper the authors extend their previous work on Boundary Perturbation methods for scattering calculations from families of diffraction gratings to three dimensions and the full vector electromagnetic Maxwell equations. This extension is non-trivial in both its algorithmic implementation (not only are new terms added to the recursions, but also the full, coupled, vector Maxwell equations...

Inverse Electromagnetic Problems