Abstract

Abstract We theoretically study Dyakonov surface waveguide modes that propagate along the planar strip interfacial waveguide between two uniaxial dielectrics. We demonstrate that owing to the one-dimensional electromagnetic confinement, Dyakonov surface waveguide modes can propagate in the directions that are forbidden for the classical Dyakonov surface waves at the infinite interface. We show that this situation is similar to a waveguide effect and formulate the resonance conditions at which Dyakonov surface waveguide modes exist. We demonstrate that the propagation of such modes without losses is possible. We also consider a case of two-dimensional confinement, where the interface between two anisotropic dielectrics is bounded in both orthogonal directions. We show that such a structure supports Dyakonov surface cavity modes. Analytical results are confirmed by comparing with full-wave solutions of Maxwell’s equations. We believe that our work paves the way toward new insights in the field of surface waves in anisotropic media.

Highlights

  • We theoretically study Dyakonov surface waveguide modes that propagate along the planar strip interfacial waveguide between two uniaxial dielectrics

  • We demonstrate that owing to the one-dimensional electromagnetic confinement, Dyakonov surface waveguide modes can propagate in the directions that are forbidden for the classical Dyakonov surface waves at the infinite interface

  • We have studied Dyakonov-like surface states which appear at the interface between two identical anisotropic dielectrics twisted in such a way that their optical axes form an angle of 90° to each other

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Summary

Introduction

Surface electromagnetic waves, propagating along the interface of two dissimilar media, have been the subject of extensive research during the last decades as they represent one of the fundamental concepts of nanophotonics. Among different types of surface waves, there are surface plasmon-polariton at a metal-dielectric interface [1], Tamm surface states at a photonic crystal boundary [2–4], surface solitons at a nonlinear interface [5], and many others Another family of surface waves is Dyakonov surface waves (DSWs), which exist at the interface of two media at least one of which is anisotropic, as predicted in 1988 in the study by D’yakonov [6]. Chermoshentsev et al.: Dimensional confinement of Dyakonov surface waves surface states at the interface of a biaxial crystal and an isotropic liquid Another perspective approach to obtain Dyakonov-like surface waves experimentally is the usage of partnering thin films between anisotropic and isotropic media [17]. We introduce the concept of Dyakonov surface cavity modes in the case of two-dimensional confinement

Interface of two uniaxial crystals
One-dimensional confinement
Two-dimensional confinement
Conclusion
Theoretical methods
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