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 (30)

• Surface Electromagnetic Waves Thermally Excited: Radiative Heat Transfer, Coherence Properties and Casimir Forces Revisited in the Near Field
• Near-field heat transfer in a scanning thermal microscope
• Near-field radiative heat transfer between macroscopic planar surfaces
• Near-field radiative heat transfer between a sphere and a substrate
• Near-field radiative heat transfer between nanostructures in the deep sub-wavelength regime
• Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
• Casimir interaction of dielectric gratings
• Scattering-matrix approach to Casimir-Lifshitz force and heat transfer out of thermal equilibrium between arbitrary bodies
• Modulation of near-field heat transfer between two gratings
• Strong Casimir force reduction through metallic surface nanostructuring
• Three-body amplification of photon heat tunneling
• Experimental observation of nanoscale radiative heat flow due to surface plasmons in graphene and doped silicon
• Casimir-Lifshitz force out of thermal equilibrium and heat transfer between arbitrary bodies
• Three-body radiative heat transfer and Casimir-Lifshitz force out of thermal equilibrium for arbitrary bodies
• Spectrally enhancing near-field radiative transfer between gold gratings by exciting magnetic polariton in nanometric vacuum gaps
• Radiative heat transfer between two dielectric nanogratings in the scattering approach
• The Casimir force on a surface with shallow nanoscale corrugations: Geometry and finite conductivity effects
• Contactless heat flux control with photonic devices
• Demonstration of Angle Dependent Casimir Force Between Corrugations
• Modal Approach to Casimir Forces in Periodic Structures
• Thermal Casimir force between nanostructured surfaces
• Casimir interaction between a sphere and a grating
• 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
• Near field radiative thermal transfer between nano-structured periodic materials
• Impact of anisotropy on the interaction of an atom with a one-dimensional nano-grating
• The Casimir energy between nanostructured gratings of arbitrary periodic profile
• 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

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• Near-field Radiative Heat Transfer in Many-Body Systems
• Near-field heat transfer between graphene/hBN multilayers
• Enhancing Near-Field Radiative Heat Transfer with Si-based Metasurfaces
• Magnetic-tunable nanoscale thermal radiation between twisted graphene gratings
• Active control of near-field radiative heat transfer by coating-twisting method
• Controlling thermal emission with metasurfaces and its applications
• Metasurface-mediated anisotropic radiative heat transfer between nanoparticles
• Enhancing near-field heat transfer between composite structures through strongly-coupled surface modes
• Graphene-based thermal repeater
• Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings
• Fundamental limits to radiative heat transfer: the limited role of nanostructuring in the near field
• Magnetic field-free circularly polarized thermal emission from chiral metasurface
• Giant Casimir torque between rotated gratings and the $\theta =0$ anomaly
• Fundamental limits to radiative heat transfer: theory
• Design of an indium arsenide cell for near-field thermophotovoltaic devices
• Material Scaling and Frequency-Selective Enhancement of Near-Field Radiative Heat Transfer for Lossy Metals in Two Dimensions via Inverse Design
• Fano interference for tailoring near-field radiative heat transfer
• Overcoming limits to near-field radiative heat transfer in uniform planar media through multilayer optimization
• Measurement of Near-field Thermal Radiation between Multilayered Metamaterials
• Fourier modal method for Moiré lattices
• Nonequilibrium atom-surface interaction with lossy multi-layer structures
• Hybrid Thermal Yagi-Uda Nanoantennas for Directional and Narrow Band Long-wavelength IR Radiation Sources
• Near-field radiative heat transfer between shifted graphene gratings
• Tunable non-additivity in Casimir-Lifshitz force between graphene gratings
• Effect of graphene grating coating on near-field radiative heat transfer
• Near-field radiative heat transfer between a nanoparticle and a graphene grating
• Beyond the Drude model: surface and non-local effects in near-field radiative heat transfer and the Casimir puzzle
• Mechanical relations between conductive and radiative heat transfer
• Fluctuational Electrodynamics in Atomic and Macroscopic Systems: van der Waals Interactions and Radiative Heat Transfer
• Casimir-Lifshitz force for graphene-covered gratings
• Normal and lateral Casimir-Lifshitz forces between a nanoparticle and a graphene grating
• Effect of top metallic contacts on energy conversion performances for near-field thermophotovoltaics