Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations
Analysis of PDEs
2016-10-11 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1512.05838,
title = {Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations},
author = {Maxence Cassier and Aaron Welters and Graeme W. Milton},
journal= {arXiv preprint arXiv:1512.05838},
year = {2016}
}
Comments
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