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We describe some preliminary results on a fluctuating volume-current formulation of non-equilibrium fluctuations in inhomogeneous media. The proposed framework generalizes the recently developed power formulas for volume integral equation formulations, in order to facilitate applications including radiative heat transfer, Casimir forces, and fluorescence, in arbitrary geometries.
We present simple formulas for computing power (including absorbed, scattered and radiated power) in current-based volume integral equation formulations. The proposed formulas compute the quantities of interest directly from the equivalent polarization currents and the material properties with no need for post-processing. We also discuss the application of Poynting theorem for the case of sources...
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