Itinerant versus localized plasmons in an assembly of metal-dielectric parallel flat slabs in the presence of a perpendicular magnetic field: Faraday and magneto-optical Kerr effects

Abstract

The influence of the surface running and surface localized plasmons on the optical properties (including Faraday and magneto-optical Kerr effects) is studied and compared for homogeneous as well as perforated metal-dielectric, sandwichlike structures. Closed-form exact expressions are derived for the macroscopic permittivity tensor of an assembly of metal-dielectric parallel flat slabs in the presence of an externally applied static magnetic field perpendicular to the slab plane. The structure-dependent resonance associated with running surface plasmon appears only in the perpendicular to the surface $zz$ macroscopic permittivity tensor component and does not depend on the perpendicularly applied magnetic field. The other diagonal tensor components vanish at the so-called ``hybrid cyclotron-plasma frequency,'' which depends on the slab thickness and the applied magnetic field. All analytical results are verified by numerical simulations.