Erratum: Size effects in energy transport between thermal contacts mediated by nanoparticles [Phys. Rev. E 99, 032141 (2019)].

This corrects the article DOI: 10.1103/PhysRevE.99.

Erratum: Modeling the quasistatic energy transport between nanoparticles [Phys. Rev. E 92, 062138 (2015)].

This corrects the article DOI: 10.1103/PhysRevE.92.

Erratum: Size effects in long-term quasistatic heat transport [Phys. Rev. E 87, 062118 (2013)].

This corrects the article DOI: 10.1103/PhysRevE.87.

Size effects in energy transport between thermal contacts mediated by nanoparticles.

We investigate size effects in phononic energy transport in a system of two nanoparticles interconnected by a molecule and attached to thermal contacts also by molecules. In the considered closed system, the nanoparticles and contacts are described by ensembles of finite numbers of harmonic oscillators within the Drude-Ullersma model. The macroscopic character of the contacts is simulated by a large value of the ratio Δ/Δ_{B}=n (n>100) of mode spacings Δ and Δ_{B} corresponding to the nanoparticles and contacts, respectively.

Radiative transport and optical tomography with large datasets.

We consider the inverse problem of optical tomography in the radiative transport regime. We report numerical tests of a direct reconstruction method that is suitable for use with large datasets. Reconstructions of experimental data obtained from a noncontact optical tomography system are also reported.

Modeling the quasistatic energy transport between nanoparticles.

We consider phononic energy transport between nanoparticles mediated by a quantum particle. The nanoparticles are considered as thermal reservoirs described by ensembles of finite numbers of harmonic oscillators within the Drude-Ullersma model having, in general, unequal mode spacings Δ(1) and Δ(2), which amount to different numbers of atoms in the nanoparticles. The quasistatic energy transport between the nanoparticles on the time scale t∼1/Δ(1,2) is investigated using the generalized quantum Langevin equation.

Size effects in long-term quasistatic heat transport.

We consider finite-size effects on heat transfer between thermal reservoirs mediated by a quantum system, where the number of modes in each reservoir is finite. Our approach is based on the generalized quantum Langevin equation and the thermal reservoirs are described as ensembles of oscillators within the Drude-Ullersma model. A general expression for the heat current between the thermal reservoirs in the long-time quasistatic regime, when an observation time is of the order of Δ(-1) and Δ is the mode spacing constant of a thermal reservoir, is obtained.

Heat exchange mediated by a quantum system.

We consider heat transfer between two thermal reservoirs mediated by a quantum system using the generalized quantum Langevin equation. The thermal reservoirs are treated as ensembles of oscillators within the framework of the Drude-Ullersma model. General expressions for the heat current and thermal conductance are obtained for arbitrary coupling strength between the reservoirs and the mediator and for different temperature regimes.

Phaseless three-dimensional optical nanoimaging.

We propose a method for optical nanoimaging in which the structure of a three-dimensional inhomogeneous medium may be recovered from far-field power measurements. Neither phase control of the illuminating field nor phase measurements of the scattered field are necessary. The method is based on the solution to the inverse scattering problem for a system consisting of a weakly-scattering dielectric sample and a strongly-scattering nanoparticle tip.

Diffusion approximation revisited.

We study the diffusion approximation (DA) to the radiative transport equation (RTE) in infinite homogeneous space. Different definitions of the reduced intensity I(r) that satisfy a simplified RTE (without accounting for scattering) and that are often used in the derivation of the DA are examined. By comparing the results of the DA with exact solutions to the RTE, we come to the conclusion that the best accuracy in the DA is achieved if we choose the definition of the reduced intensity (from a family of possible definitions) that results in I(r)=0.

Fluorescent optical tomography with large data sets.

In recent years, optical tomography (OT) of highly scattering biological samples has increasingly relied on noncontact CCD-based imaging devices that can record extremely large data sets, with up to 10(9) independent measurements per sample. Reconstruction of such data sets requires fast algorithms. The latter have been developed and applied experimentally in our previous work to imaging of the intrinsic absorption coefficient of highly scattering media.

Imaging complex structures with diffuse light.

We use diffuse optical tomography to quantitatively reconstruct images of complex phantoms with millimeter sized features located centimeters deep within a highly-scattering medium. A non-contact instrument was employed to collect large data sets consisting of greater than 10(7) source-detector pairs. Images were reconstructed using a fast image reconstruction algorithm based on an analytic solution to the inverse scattering problem for diffuse light.

Classical theory of optical nonlinearity in conducting nanoparticles.

We develop a classical theory of electron confinement in conducting nanoparticles. The theory is used to compute the nonlinear optical response of the nanoparticle to a harmonic external field.

Experimental demonstration of an analytic method for image reconstruction in optical diffusion tomography with large data sets.

We report the first experimental test of an analytic image reconstruction algorithm for optical tomography with large data sets. Using a continuous-wave optical tomography system with 10(8) source-detector pairs, we demonstrate the reconstruction of an absorption image of a phantom consisting of a highly scattering medium containing absorbing inhomogeneities.