Resonances and near field heat transfer of finite structures

¹ Bartol Research Institute and Department of Physics and Astronomy, University of Delaware Newark, DE 19716, USA
² Surface Physics Laboratory, Department of Physics, Fudan University - Shanghai 200433, China
³ Key Laboratory of Micro and Nano Photonic Structures (Ministry of Education), Fudan University Shanghai, China

^(a) E-mail: chui@udel.edu (corresponding author)

Received: 22 August 2022
Accepted: 21 November 2022

Abstract

We describe a formulation for near field heat transfer for a finite size system so that the heat conductance can be expressed as sums of contributions from the resonances of the combined structure of the “receiver” and the “source”. Our work opens the door to investigating near field heat transfer between finite systems and in particular metamaterials whose resonances have been well studied. We illustrated our results with an analytically tractable example of energy transfer between two split ring resonantors separated by a distance d on top of each other. When the cuts of the two rings are opposite each other, the heat conductance is smaller than when the cuts of the two rings are on top of each other. This result can only come from a finite system calculation.