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

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.

33 pages, 2 figures; this is a copy of chapter 4 in the book "Extending the Theory of Composites to Other Areas of Science" edited by Graeme W. Milton, 2016, Milton-Patton Publishers, ISBN: 978-1-4835-6919-2

References in corpus (2)

• Exterior cloaking with active sources in two dimensional acoustics
• Complete characterization and synthesis of the response function of elastodynamic networks