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Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations

Published 18 Dec 2015 in math.AP, math-ph, and math.MP | (1512.05838v3)

Abstract: In this chapter of the book entitled, "Extending the Theory of Composites to Other Areas of Science" [edited by Graeme W. Milton, 2016] we derive the analyticity properties of the electromagnetic Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations for passive linear multicomponent media. Moreover, we discuss the connection of this map to Herglotz functions for isotropic and anisotropic multicomponent composites.

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