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Additional electromagnetic waves and additional boundary conditions (ABCs) innon-local materials attracted a lot of attention in the past. Here we reportthe possibility of additional propagating and evanescent waves in localanisotropic and bi-anisotropic linear materials. We investigate the possibleoptions for ABCs and describe how to complement the conventional 4 Maxwellsboundary conditions in the situations when there are more than 4 waves thatneed 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 andrequire the introduction of the additional effective material parametersdescribing this interface, such as surface conductivities.

Additional Waves and Additional Boundary Conditions in Local Quartic Metamaterials