Abstract

We discuss peculiarities of bulk and surface polaritons propagating in a composite magnetic-semiconductor superlattice influenced by an external static magnetic field. Three particular configurations of magnetization, namely the Voigt, polar and Faraday geometries are considered. In the long-wavelength limit, involving the effective medium theory, the proposed superlattice is described as an anisotropic uniform medium defined by the tensors of effective permittivity and effective permeability. The study is carried out in the frequency band where the characteristic resonant frequencies of the underlying constitutive magnetic and semiconductor materials of the superlattice are different but closely spaced. The effects of mode crossing and anti-crossing in dispersion characteristics of both bulk and surface polaritons are revealed and explained with an assistance of the concept of Morse critical points from the catastrophe theory.

Highlights

  • Surface polaritons are a special type of electromagnetic waves propagating along the interface of two partnering materials whose material functions have opposite signs that are typical for a metal-dielectric boundary [1]

  • Thereby, in this chapter, we study dispersion features of surface and bulk polaritons propagating in a semi-infinite stack of identical composite double-layered slabs arranged along the y-axis that forms a superlattice (Figure 1)

  • In this chapter, we have studied dispersion features of both bulk and surface polaritons in a magnetic-semiconductor superlattice influenced by an external static magnetic field

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Summary

Introduction

Surface polaritons are a special type of electromagnetic waves propagating along the interface of two partnering materials whose material functions (e.g., permittivities) have opposite signs that are typical for a metal-dielectric boundary [1]. A combination of plasmonic and magnetic functionalities opens a prospect toward active devices with an additional degrees of freedom in the control of plasmon-polariton properties, and such systems have already found a number of practical applications in integrated photonic devices for telecommunications (see, for instance [3, 8] and references therein) In this framework, using superlattices (which typically consist of alternating layers of two partnering materials) that are capable to provide a combined plasmon and magnetic functionality instead of traditional plasmonic systems (in which the presence of a metal-dielectric interface is implied) has great prospects. The problem is usually solved within two distinct considerations of gyroelectric media (e.g., semiconductors) with magneto-plasmons [10, 14] and gyromagnetic media (e.g., ferrites) with magnons [11–13, 16], which involve the medium characterization with either permittivity or permeability tensor having asymmetric off-diagonal parts This distinction is governed by the fact that the resonant frequencies of permeability of magnetic materials usually lie in the.

Outline of problem
General solution for bulk and surface polaritons
Theory of Morse critical points: mode coupling phenomena
Conclusions
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