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The harmonic Maxwell's equations in periodic waveguides
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Abstract
We study Maxwell’s equations with periodic coefficients in a
closed waveguide. A functional analytic approach is used to formulate
and to solve the radiation problem. We furthermore characterize the set
of all bounded solutions to the homogeneous problem. The case of a
compact perturbation of the medium is included, the scattering problem
and the limiting absorption principle are discussed.
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Keywords
Maxwell equations, Waveguide, Radiation Problem