Asymptotic Behavior of Solutions of Two-Dimensional Periodic Scattering Problems in Electromagnetics

Abstract

In this paper, two-dimensional electromagnetic scattering problems with a time-periodic incident field are considered. In the case of a perfect conductor scatterer with the presence of an artificial boundary, the existence of a time-periodic solution is proved. For arbitrary initial conditions, asymptotic behavior of solutions is characterized. The asymptotic solution can be represented as the time-periodic solution of the periodically forced scattering problem plus a stationary field. The source of the stationary field is explained, and equations describing it are obtained.