Radiative heat transfer between metallic gratings using adaptive spatial resolution

Abstract

We calculate the radiative heat transfer between two identical metallic one-dimensional lamellar gratings. To this aim we present and exploit a modification to the widely-used Fourier modal method, known as adaptive spatial resolution, based on a stretch of the coordinate associated to the periodicity of the grating. We first show that this technique dramatically improves the rate of convergence when calculating the heat flux, allowing to explore smaller separations. We then present a study of heat flux as a function of the grating height, highlighting a remarkable amplification of the exchanged energy, ascribed to the appearance of spoof-plasmon modes, whose behavior is also spectrally investigated. Differently from previous works, our method allows us to explore a range of grating heights extending over several orders of magnitude. By comparing our results to recent studies we find a consistent quantitative disagreement with some previously obtained results going up to 50\%. In some cases, this disagreement is explained in terms of an incorrect connection between the reflection operators of the two gratings.

10 pages, 6 figures. Some typos corrected with respect to the previous version

References in corpus (10)

• Near-field radiative heat transfer between a sphere and a substrate
• Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
• Casimir interaction of dielectric gratings
• Contactless heat flux control with photonic devices
• Modal Approach to Casimir Forces in Periodic Structures
• Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings
• Near-Field Radiative Heat Transfer Between Metasurfaces: A Full-Wave Study Based on 2D Grooved Metal Plates
• A quasi-analytical modal approach for computing Casimir interactions in periodic nanostructures
• Casimir Energies of Periodic Dielectric Gratings
• Calculating Casimir interactions for Periodic Surface Relief Gratings using the C-Method

Cited by in corpus (2)

• Near-field heat transfer between graphene/hBN multilayers
• Fano interference for tailoring near-field radiative heat transfer