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Reports (Research Report) Year : 2021

Limiting Amplitude Principle for a Hyperbolic Metamaterial in Free Space

Abstract

Harmonic wave propagation in hyperbolic metamaterials is described by the Maxwell equations with a frequency-dependent tensor of dielectric permittivity. For a range of frequencies, this tensor has eigenvalues of opposite signs, and thus, in two dimensions, the harmonic Maxwell equations can be written as a Klein-Gordon equation. This technical report is mainly dedicated to the proof of the limiting amplitude principle for the simplest case of such a problem, and is a companion to the manuscript.
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Dates and versions

hal-03164307 , version 1 (10-03-2021)

Identifiers

  • HAL Id : hal-03164307 , version 1

Cite

Maryna Kachanovska. Limiting Amplitude Principle for a Hyperbolic Metamaterial in Free Space. [Research Report] Inria. 2021. ⟨hal-03164307⟩
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