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arXiv · 1512.05838

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

Maxence Cassier·Aaron Welters·Graeme W. Milton
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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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Maxence Cassier, Aaron Welters, Graeme W. Milton. 2016-10-09. Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations. https://arxiv.org/abs/1512.05838

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