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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.
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Kangro et al. (1997) studied this question.
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