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

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.

preprint2016arXivOpen access
Maxence CassierAaron WeltersGraeme W. Milton
math.APmath-phmath.MP
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Maxence CassierAaron WeltersGraeme W. Milton

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