Supplementary Material for "Interaction of Light with Arbitrarily Shaped Dielectric Media: Spectral Analysis & Evolution Semigroups of Electromagnetic Scattering"

Details Supplementary Material for "Interaction of Light with Arbitrarily Shaped Dielectric Media: Spectral Analysis & Evolution Semigroups of Electromagnetic Scattering" Supplementary Material for "Interaction of Light with Arbitrarily Shaped Dielectric Media: Spectral Analysis & Evolution Semigroups of Electromagnetic Scattering"

2009-11-24

arxiv.org/abs/0911.4540v1

Physics

Mathematical Physics

86 pages, 2 figures

Scientific paper

In the framework of Riesz-Fredholm index theorem and Calderon-Zygmund theory, a detailed eigenvalue analysis is performed for the scattering of electromagnetic waves by homogeneous dielectric media. It is shown that the electromagnetic scattering problem is well-posed for all non-accretive media ($\mathrm{Im}\chi\leq0$) satisfying certain geometric and topological constraints, except for the critical point $\chi=-2$, where unbounded electromagnetic enhancement may occur.

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