Estimates of scattered electromagnetic fields

Abstract

We present some general estimates of the scattered electromagnetic fields for a general bounded scattering domain Ω in the anisotropic materials setting. In particular, it is shown that the â̂¥×â ̂¥L2(Ωs;C3) - norm and sup norm of the scattered field in an arbitrary finite exterior domain Ωs is bounded by the H(curl,Ω) norm of the incident field. Moreover, several estimates of the traces of the scattered field on the boundary are presented. These estimates have bearing on estimations on cloaking. © 2013 John Wiley & Sons, Ltd.