Fluctuational electrodynamics of hyperbolic metamaterials

Abstract

We give a detailed account of equilibrium and non-equilibrium fluctuational electrodynamics of hyperbolic metamaterials. We show the unifying aspects of two different approaches; one utilizes the second kind of fluctuation dissipation theorem and the other makes use of the scattering method. We analyze the near-field of hyperbolic media at finite temperatures and show that the lack of spatial coherence can be attributed to the multi-modal nature of super-Planckian thermal emission. We also adopt the analysis to phonon-polaritonic super-lattice metamaterials and describe the regimes suitable for experimental verification of our predicted effects. The results reveal that far-field thermal emission spectra are dominated by epsilon-near-zero and epsilon-near-pole responses as expected from Kirchoff's laws. Our work should aid both theorists and experimentalists to study complex media and engineer equilibrium and non-equilibrium fluctuations for applications in thermal photonics.

13 pages, 8 figures

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• Optical Hyperlens: Far-field imaging beyond the diffraction limit
• 3D-Chiral Metamaterial Showing Artificial Magnetic Response and Negative Refraction
• Broadband super-Planckian thermal emission from hyperbolic metamaterials
• Non-magnetic left-handed material
• Radiative heat transfer between nanostructures
• Applications of hyperbolic metamaterial substrates
• Fluctuating surface-current formulation of radiative heat transfer for arbitrary geometries
• Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity
• A Scattering Approach to the Dynamical Casimir Effect
• General theory of electromagnetic fluctuations near a homogeneous surface, in terms of its reflection amplitudes

Cited by in corpus (5)

• Many body heat radiation and heat transfer in the presence of a non-absorbing background medium
• Near-field heat transfer between multilayer hyperbolic metamaterials
• Nonreciprocal radiative heat transfer between two planar bodies
• Thermal self-oscillations in radiative heat exchange
• Spatial Coherence of Thermal Emission by a Sphere