Surface polaritons in symmetry planes of biaxial crystals

Abstract

The problem of the surface polariton existence in symmetry planes of nonmagnetic biaxial crystals is studied theoretically. The plane interface of such a crystal and a semi-infinite isotropic medium is considered. With the use of the integral formalism formulated in our earlier work, the dispersion equation is derived for the polaritons under consideration. The existence conditions for the dispersion equation solutions are obtained in the form of algebraic inequalities for principal values of inverse dielectric permittivity tensors. If these conditions are satisfied, then excitation of surface waves is possible along the allowed propagation directions, which constitute sectors in the interface plane. Exact expressions are obtained that determine location of these sectors with respect to the symmetry axes of the crystal.

Simultaneous existence of amplified and attenuated Dyakonov surface waves

“…Both Marchevski ȋ et al [10] and Dyakonov [11] have provided the formalism for surface-wave propagation guided by the planar interface of an isotropic dielectric material and a uniaxial dielectric material whose optic axis is oriented to lie wholly in the interface plane. We are content to provide only essential details here, while referring the interested reader to more recent literature for greater illumination [13,21,22]. The uniaxial partnering material, labeled A, is taken to occupy the half-space z > 0.…”

Surface electromagnetic waves: A review

“…A surface wave guided by an isotropic/biaxial interface displays many of the characteristics of a surface wave guided by an isotropic/uniaxial interface. Analytic results were obtained when two eigenvectors of the relative permittivity dyadic lie wholly in the xy plane, for both weak [129] and arbitrary anisotropy [136]. Walker et al [14] numerically explored ψ-ranges of propagation direction for arbitrary orientation of the eigenvectors of the relative permittivity dyadic of the biaxial partnering material.…”

Dyakonov surface waves in dielectric crystals with negative anisotropy

“…A positive optical anisotropy means that ε > ε ⊥ , where ε (or ε ⊥ ) is the principal value of dielectric permittivity tensor parallel to (or perpendicular to) the optical axis. Since then, extensive research has been performed toward the theoretical studies of Dyakonov-like surface waves at interfaces of different combinations of isotropic, uniaxial, biaxial, and chiral materials with positive anisotropy [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. A narrow range of propagation angles and the requirement of positive anisotropy sufficiently decreases the number of materials suitable for practical realization of DSWs.…”