Additional Waves and Additional Boundary Conditions in Local Quartic Metamaterials

TL;DR

This paper explores the existence of additional electromagnetic waves in local anisotropic and bi-anisotropic materials and proposes new boundary conditions involving interface parameters to match multiple waves at boundaries.

Contribution

It introduces the concept of additional boundary conditions for local quartic metamaterials, incorporating interface properties like surface conductivities.

Findings

Additional propagating and evanescent waves can exist in local anisotropic and bi-anisotropic materials.

New boundary conditions depend on interface properties and effective parameters.

Conventional boundary conditions are insufficient for complex wave matching in these materials.

Abstract

Additional electromagnetic waves and additional boundary conditions (ABCs) in non-local materials attracted a lot of attention in the past. Here we report the possibility of additional propagating and evanescent waves in local anisotropic and bi-anisotropic linear materials. We investigate the possible options for ABCs and describe how to complement the conventional 4 Maxwells boundary conditions in the situations when there are more than 4 waves that need to be matched at the boundary of local and linear quartic metamaterials. We show that these ABCs must depend on the properties of the interface and require the introduction of the additional effective material parameters describing this interface, such as surface conductivities.