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Anisotropic surface polaritons at isotropic--uniaxial interface: an algebraic solution
preprintposted on 2024-02-10, 17:00 authored by K. Yu. Golenitskii
Surface polaritons in an anisotropic media posses a strong dependence of the wavevector on the propagation direction. This can lead to the fact that polariton propagation will be possible in a limited range of angles in the boundary plane. Notable examples are Dyakonov surface waves and hyperbolic plasmons in a hyperbolic metamaterial. Exact solutions of the dispersion equation in closed form are known only in the case of weakly anisotropic medium and for highly symmetric directions. This work provides an exact algebraic solution for surface polariton at the boundary of an isotropic and anisotropic medium when the optic axis is parallel to the boundary. It was used to analyze the shapes of isofrequency contours and classify them. The aim of the work is to summarize the known results of theoretical researches on surface polaritons in this case.