Dyakonov–Voigt surface waves

Abstract

Electromagnetic surface waves guided by the planar interface of an isotropic dielectric medium and a uniaxial dielectric medium, both non-dissipative, were considered, the optic axis of the uniaxial medium lying in the interface plane. Whereas this interface is known to support the propagation of Dyakonov surface waves when certain constraints are satisfied by the constitutive parameters of the two partnering mediums, we identified a different set of constraints that allow the propagation of surface waves of a new type. The fields of the new surface waves, named Dyakonov–Voigt (DV) surface waves, decay as the product of a linear and an exponential function of the distance from the interface in the anisotropic medium, whereas the fields of the Dyakonov surface waves decay only exponentially in the anisotropic medium. In contrast to Dyakonov surface waves, the wavenumber of a DV surface wave can be found analytically. Also, unlike Dyakonov surface waves, DV surface waves propagate only in one direction in each quadrant of the interface plane.

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

“…In order to characterize DV surface-wave propagation supported by dissipative materials, we now explore numerical solutions to the canonical boundary-value problem that satisfy the dispersion equation (24). In the special case considered previously [21], wherein the optic axis of material A lies in the interface plane (i.e., χ = 0 • ) and the materials A and B are nondissipative (and inactive), certain constraints on the relative permittivity parameters of materials A and B can be established. However, the general case (0 • ≤ χ ≤ 90 • and ε s A ∈ C, ε t A ∈ C, and ε B ∈ C) considered here is much less amenable to analysis and such constraints are not forthcoming.…”

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

“…Then, has only two eigenvalues, namely , each with algebraic multiplicity 2 and geometric multiplicity 1 32 . Unlike the case when material is uniaxially dielectric 10 , there are two possible values of q that give rise to Dyakonov–Voigt surface waves, namely and ; from Eqs. ( 8 ), these are given as Herein the sign parameter for and for .…”

“…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.…”

Zenneck surface wave interconnect with encircle routing for effective inter chip communication

“…The surface waves are the electromagnetic waves which travel even with the speed of the light through a specified structure which contains both conductor and dielectric materials. [10][11][12][13][14] The surface wave phenomenon with the ability of interference reduction and power loss mitigation at millimeter range frequencies is proved to be the best alternate for the copper traces. [15][16][17][18] The channel model for the given application depicted in Figure 1 which performs data communication effectively based on suitable conditions of the proposed hybrid model.…”