On Dyakonov–Voigt surface waves guided by the planar interface of dissipative materials

Abstract

Dyakonov-Voigt (DV) surface waves guided by the planar interface of (i) material A which is a uniaxial dielectric material specified by a relative permittivity dyadic with eigenvalues ε s A and ε t A , and (ii) material B which is an isotropic dielectric material with relative permittivity ε B , were numerically investigated by solving the corresponding canonical boundary-value problem. The two partnering materials are generally dissipative, with the optic axis of material A being inclined at the angle χ ∈ [0 • , 90 • ] relative to the interface plane. No solutions of the dispersion equation for DV surface waves exist when χ = 90 • . Also, no solutions exist for χ ∈ (0 • , 90 • ), when both partnering materials are nondissipative. For χ ∈ [0 • , 90 • ), the degree of dissipation of material A has a profound effect on the phase speeds, propagation lengths, and penetration depths of the DV surface waves. For mid-range values of χ, DV surface waves with negative phase velocities were found. For fixed values of ε s A and ε t A in the upper-half-complex plane, DV surface-wave propagation is only possible for large values of χ when |ε B | is very small. *

Theory of Dyakonov–Tamm surface waves featuring Dyakonov–Tamm–Voigt surface waves

“…Before dealing with DTV surface waves, it is necessary to first consider DT surface waves for which P A has four eigenvalues, each with algebraic multiplicity 1 and geometric multiplicity 1. These eigenvalues are [35] α…”

“…Let us also assume that only one of α Ac and α Ad can have a positive imaginary part. Therefore the two eigenvalues that are chosen [35] for surface-wave analysis are…”

“…with the correct value of q for DTV surface-wave propagation being the one that yields Im {α A } > 0 [2,35]. Although explicit expressions for a corresponding eigenvector [v A ] satisfying…”

Two Dyakonov–Voigt surface waves guided by a biaxial–isotropic dielectric interface

“…Our analysis reveals that one or two Dyakonov–Voigt surface waves can be guided for each quadrant of the interface plane, depending upon the birefringence of partnering material . The manifestation of two Dyakonov–Voigt surface waves (rather than just one 13 ) marks a fundamental departure from the case involving the planar interface of a uniaxial dielectric material and an isotropic dielectric material 10 , 11 .…”

“…In addition to Dyakonov surface waves, it was recently discovered that the planar interface of a uniaxial dielectric material and an isotropic dielectric material can guide the propagation of Dyakonov-Voigt surface waves 10,11 . As compared to conventional surface waves such as surface-plasmon-polariton waves and Dyakonov surface waves, Dyakonov-Voigt surface waves have quite different localization characteristics.…”