Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications
Name
Rodriguez-2013-Fluctuating-surface-current formulation.pdf
Size
1.31 MB
Format
Adobe PDF
Checksum (MD5)
36677408764521f73ef1957c50b7e4d2
Author(s)
Rodriguez, Alejandro W.
Johnson, Steven G.
Reid, M. T. Homer
Date Issued
August 2013
Journal
Physical Review B
Publisher
American Physical Society
Citation
Rodriguez, Alejandro W., M. T. H. Reid, and Steven G. Johnson. “Fluctuating-Surface-Current Formulation of Radiative Heat Transfer: Theory and Applications.” Phys. Rev. B 88, no. 5 (August 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We describe a fluctuating-surface current formulation of radiative heat transfer between bodies of arbitrary shape that exploits efficient and sophisticated techniques from the surface-integral-equation formulation of classical electromagnetic scattering. Unlike previous approaches to nonequilibrium fluctuations that involve scattering matrices—relating “incoming” and “outgoing” waves from each body—our approach is formulated in terms of “unknown” surface currents, laying at the surfaces of the bodies, that need not satisfy any wave equation. We show that our formulation can be applied as a spectral method to obtain fast-converging semianalytical formulas in high-symmetry geometries using specialized spectral bases that conform to the surfaces of the bodies (e.g., Fourier series for planar bodies or spherical harmonics for spherical bodies), and can also be employed as a numerical method by exploiting the generality of surface meshes/grids to obtain results in more complicated geometries (e.g., interleaved bodies as well as bodies with sharp corners). In particular, our formalism allows direct application of the boundary-element method, a robust and powerful numerical implementation of the surface-integral formulation of classical electromagnetism, which we use to obtain results in new geometries, such as the heat transfer between finite slabs, cylinders, and cones.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.88.054305
