The quasi-static plasmonic problem for polyhedra
The quasi-static plasmonic problem for polyhedra
Abstract We characterize the essential spectrum of the plasmonic problem for polyhedra in $${\mathbb {R}}^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> . The description is particularly simple for convex polyhedra and permittivities $$\epsilon < - 1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>ϵ</mml:mi> <mml:mo><</mml:mo> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> . The …