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

Abstract

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 associatedmatrices, 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.

References in corpus (16)

• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• The Casimir effect within scattering theory
• Fluctuating surface-current formulation of radiative heat transfer for arbitrary geometries
• Multiple Scattering Methods in Casimir Calculations
• Role of Joule Heating on Current Saturation and Transient Behavior of Graphene Transistors
• A Green's function formalism of energy and momentum transfer in fluctuational electrodynamics
• Proximity Effects in Radiative Transfer
• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Fluorescence enhancement with the optical (bi-) conical antenna
• The Casimir effect in the nanoworld
• Radiative heat transfer in nonlinear Kerr media
• Ab-initio multimode linewidth theory for arbitrary inhomogeneous laser cavities
• On the Computation of Power in Volume Integral Equation Formulations
• Nonlinear optical effects of ultrahigh-Q silicon photonic nanocavities immersed in superfluid helium
• Thermal radiation from optically driven Kerr (${\chi }^{(3)}$) photonic cavities
• Thermal balance and photon-number quantization in layered structures

Cited by in corpus (41)

• Near-field Radiative Heat Transfer in Many-Body Systems
• A general framework for scintillation in nanophotonics
• Non-equilibrium Fluctuational Quantum Electrodynamics: Heat Radiation, Heat Transfer, and Force
• Radiative heat transfer in many-body systems: coupled electric and magnetic dipole approach
• Thermal discrete dipole approximation for the description of thermal emission and radiative heat transfer of magneto-optical systems
• Near-field radiative heat transfer between arbitrarily-shaped objects and a surface
• Many body heat radiation and heat transfer in the presence of a non-absorbing background medium
• Heat radiation and transfer for point particles in arbitrary geometries
• Fundamental limits to radiative heat transfer: the limited role of nanostructuring in the near field
• Fundamental limits to radiative heat transfer: theory
• Inverse Design of Nanoparticles for Enhanced Raman Scattering
• Perspective on Near-Field Radiative Heat Transfer
• Heat radiation and transfer in confinement
• Global $\mathbb{T}$ operator bounds on electromagnetic scattering: Upper bounds on far-field cross sections
• $\mathbb{T}$-operator bounds on angle-integrated absorption and thermal radiation for arbitrary objects
• Near-field thermal electromagnetic transport: An overview
• Near-field radiative heat transfer between irregularly shaped dielectric particles modeled with the discrete system Green's function method
• Temperature control of thermal radiation from heterogeneous bodies
• Strongly coupled near-field radiative and conductive heat transfer between planar objects
• Hierarchical Mean-Field $\mathbb{T}$ Operator Bounds on Electromagnetic Scattering: Upper Bounds on Near-Field Radiative Purcell Enhancement
• Trace formulation for photonic inverse design with incoherent sources
• Anisotropic particles near surfaces: Self-propulsion and friction
• Giant frequency-selective near-field energy transfer in active--passive structures
• Trace Expressions and Associated Limits for Non-Equilibrium Casimir Torque
• Phonon-polariton mediated thermal radiation and heat transfer among molecules and macroscopic bodies: nonlocal electromagnetic response at mesoscopic scales
• Thermal equilibrium spin torque: Near-field radiative angular momentum transfer in magneto-optical media
• Quantized fluctuational electrodynamics for three-dimensional plasmonic structures
• Amplified and directional spontaneous emission from arbitrary composite bodies: self-consistent treatment of Purcell effect below threshold
• Designing Structures that Maximize Spatially Averaged Surface-Enhanced Raman Spectra
• Nano-scale thermal transfer -- an invitation to fluctuation electrodynamics
• Exact formulas for radiative heat transfer between planar bodies under arbitrary temperature profiles: modified asymptotics and sign-flip transitions
• Thermal emission from a single glass fiber
• Stable-to-unstable transition in quantum friction
• Near-Field Thermal Emission by Periodic Arrays
• Generalized noise terms for the quantized fluctuational electrodynamics
• Mechanical relations between conductive and radiative heat transfer
• Fluctuational Electrodynamics in Atomic and Macroscopic Systems: van der Waals Interactions and Radiative Heat Transfer
• Deep learning for the modeling and inverse design of radiative heat transfer
• Generalized coupled dipole method for thermal far-field radiation
• Propulsion force and heat transfer for nonreciprocal nanoparticles
• Topology-optimized distributed 3d anisotropic Raman emission