Fluctuational electrodynamics for nonlinear media

Abstract

We develop fluctuational electrodynamics for media with nonlinear optical response. In a perturbative manner, we amend the stochastic Helmholtz equation to describe fluctuations in a nonlinear setting, in agreement with the fluctuation dissipation theorem, and identify the local (Rytov) current fluctuations. We show how the linear response (the solution of the scattering problem) of a collection of objects is found from the individual responses, as measured in isolation. As an example, we compute the Casimir force acting between nonlinear objects which approaches the result for linear optics for large separations, and deviates for small distances.

6 pages, 5 figures

References in corpus (5)

• Trace formulae for non-equilibrium Casimir interactions, heat radiation and heat transfer for arbitrary objects
• Casimir-Lifshitz force out of thermal equilibrium
• Radiative heat transfer in nonlinear Kerr media
• On Short-Range Enhancement of Van-der-Waals Forces
• Vacuum fluctuations in the presence of nonlinear boundary conditions

Cited by in corpus (9)

• The modified Langevin description for probes in a nonlinear medium
• Properties of a nonlinear bath: Experiments, theory, and a stochastic Prandtl-Tomlinson model
• Near-field refrigeration and tunable heat exchange through four-wave mixing
• Near-field thermal upconversion and energy transfer through a Kerr medium : Theory
• Fluctuational electrodynamics for nonlinear materials in and out of thermal equilibrium
• Nano-scale thermal transfer -- an invitation to fluctuation electrodynamics
• Maxwell Eigenmode approach to the Casimir-Lifshitz Torque
• Anharmonic particles: suppressing van der Waals forces by an external field
• Nonlinear effects in many-body van der Waals interactions