A mathematical formulation of the equivalence principle

Chen, K.-M.

doi:10.1109/22.41004

Cited by 69 publications

(45 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…[158][159][160] Consider the system of arbitrarily shaped, inhomogeneous bodies described by the relative permittivity ǫ and permeability µ functions, depicted schematically in Fig. 1.…”

Section: A Volume Integral Equationsmentioning

confidence: 99%

Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: Incandescence and luminescence in arbitrary geometries

et al. 2015

View full text Add to dashboard Cite

We describe a fluctuating volume-current formulation of electromagnetic fluctuations that extends our recent work on heat exchange and Casimir interactions between arbitrarily shaped homogeneous bodies [Phys. Rev. B. 88, 054305] to situations involving incandescence and luminescence problems, including thermal radiation, heat transfer, Casimir forces, spontaneous emission, fluorescence, and Raman scattering, in inhomogeneous media. Unlike previous scattering formulations based on field and/or surface unknowns, our work exploits powerful techniques from the volume-integral equation (VIE) method, in which electromagnetic scattering is described in terms of volumetric, current unknowns throughout the bodies. The resulting trace formulas (boxed equations) involve products of well-studied VIE matrices and describe power and momentum transfer between objects with spatially varying material properties and fluctuation characteristics. We demonstrate that thanks to the low-rank properties of the associated matrices, these formulas are susceptible to fast-trace computations based on iterative methods, making practical calculations tractable. We apply our techniques to study thermal radiation, heat transfer, and fluorescence in complicated geometries, checking our method against established techniques best suited for homogeneous bodies as well as applying it to obtain predictions of radiation from complex bodies with spatially varying permittivities and/or temperature profiles.

show abstract

“…[158][159][160] Consider the system of arbitrarily shaped, inhomogeneous bodies described by the relative permittivity ǫ and permeability µ functions, depicted schematically in Fig. 1.…”

Section: A Volume Integral Equationsmentioning

confidence: 99%

Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: Incandescence and luminescence in arbitrary geometries

et al. 2015

View full text Add to dashboard Cite

show abstract

“…Time reversal (TR) is a signal processing technique that takes advantage of the field equivalence principle [1][2][3][4] and was originally proposed in acoustics [5][6][7]. By prefiltering transmissions with a scaled version of the channel impulse response, reversed in time, TR allows simplification of receiver design, since the channel is compensated by precoding at the transmitter and can simplify the task of synchronization at the transmitter.…”

Section: Introductionmentioning

confidence: 99%

Robustness of Time Reversal versus All‐Rake Transceivers in Multiple Access Channels

Nardis

Fiorina

Ferrante

et al. 2018

Wireless Communications and Mobile Computing

View full text Add to dashboard Cite

Time reversal (TR) is an effective solution in both single user and multiuser communications for moving complexity from the receiver to the transmitter, in comparison to traditional postfiltering based on Rake receivers. Imperfect channel estimation may, however, affect pre-versus postfiltering schemes in a different way; this paper analyzes the robustness of time reversal versus AllRake (AR) transceivers, in multiple access communications, with respect to channel estimation errors. Two performance indicators are adopted in the analysis: symbol error probability and spectral efficiency. Analytic expressions for both indicators are derived and used as the basis for simulation-based performance evaluation. Results show that while TR leads to slight performance advantage over AR when channel estimation is accurate, its performance is severely degraded by large channel estimation errors, indicating a clear advantage for AR receivers in this case, in particular when extremely short impulsive waveforms are adopted. Results however also show a stronger non-Gaussianity of interference in the TR case suggesting that the adoption of a receiver structure adapted to non-Gaussian interference might tilt the balance towards TR.

show abstract

“…Derivation: The key to our derivation of (2) is the SIE formulation of EM scattering [17,20], which we briefly review here. Consider the fields φ r = φ r+ + φ r− in each region r, where φ r+ is the "incident" field due to sources within medium r, and φ r− is the "scattered" field due to both interface reflections and sources in the other media.…”

Section: Is a Weighted Frobenius Norm Of The Interaction Matrix Wmentioning

confidence: 99%

Fluctuating-surface-current formulation of radiative heat transfer for arbitrary geometries

2012

View full text Add to dashboard Cite

We describe a fluctuating surface-current formulation of radiative heat transfer, applicable to arbitrary geometries, that directly exploits standard, efficient, and sophisticated techniques from the boundary-element method. We validate as well as extend previous results for spheres and cylinders, and also compute the heat transfer in a more complicated geometry consisting of two interlocked rings. Finally, we demonstrate that the method can be readily adapted to compute the spatial distribution of heat flux on the surface of the interacting bodies. PACS numbers:Quantum and thermal fluctuations of charges in otherwise neutral bodies lead to stochastic electromagnetic (EM) fields everywhere in space. In non-equilibrium situations involving bodies at different temperatures, these fields mediate energy exchange from the hotter to the colder bodies, a process known as radiative heat transfer. Although the basic theoretical formalism for studying heat transfer was laid out decades ago [1-6], only recently have experiments reached the precision required to measure them at the microscale [7,8], sparking renewed interest in the study of these interactions in complex geometries that deviate from the simple parallel-plate structures of the past. In this letter, we propose a novel formulation of radiative heat transfer for arbitrary geometries that is based on the fluctuating surface-current (FSC) method of classical EM fields [9]. Unlike previous scattering formulations based on basis expansions of the field unknowns best suited to special [10][11][12][13][14] or non-interleaved periodic [15] geometries, or formulations based on expensive, brute-force time-domain simulations [16], this approach allows direct application of the boundary element method (BEM): a mature and sophisticated surface-integral equation (SIE) formulation of the scattering problem in which the EM fields are determined by the solution of an algebraic equation involving a smaller set of surface unknowns (fictitious surface currents in the surfaces of the objects [17]). In what follows, we briefly review the SIE method, derive an FSC equation for the heat transfer between two bodies, and demonstrate its correctness by checking it against (as well as extending) previous results for spheres and cylinders.

show abstract

A mathematical formulation of the equivalence principle

Cited by 69 publications

References 1 publication

Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: Incandescence and luminescence in arbitrary geometries

Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: Incandescence and luminescence in arbitrary geometries

Robustness of Time Reversal versus All‐Rake Transceivers in Multiple Access Channels

Fluctuating-surface-current formulation of radiative heat transfer for arbitrary geometries

Contact Info

Product

Resources

About