Abstract
Surface waves on multilayer hyperbolic metamaterials: Operator approach to effective medium approximation
Highlights
A surface wave is usually treated as an electromagnetic wave localized near the interface between two different media, with fields’ tails fading exponentially away from the interface
We find that hyperbolic metamaterial (HMM) with bilayer unit cells support the TE- and TM-polarized surface waves beyond the Maxwell Garnett approximation due to the spatial dispersion interpreted as effective magnetoelectric coupling
The surface wave propagation was determined by the dispersion curves, which were obtained within the Maxwell Garnett approximation, second-order operator effective medium approximation (OEMA), and exact solution of Maxwell’s equations
Summary
A surface wave is usually treated as an electromagnetic wave localized near the interface between two different media, with fields’ tails fading exponentially away from the interface. The Maxwell Garnett approximation is ordinarily exploited for homogenization of deeply subwavelength layered structures giving local effective material parameters. [30] with regard to layered HMMs This approach proposes the exact solution to the problem and describes the system in terms of the effective dielectric permittivity tensor alone. Using the operator effective medium approximation we reveal the origin of different branches of dispersion curves for TM- and TE-polarized surface waves and derive the criterion to choose the unit-cell structure which validates the Maxwell Garnett approximation.
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