Calculation of nonzero-temperature Casimir forces in the time domain

Pan, K.; McCauley, Alexander P.; Rodríguez, Alejandro W.; Reid, M. T. Homer; White, Jacob K.; Johnson, Steven G.

doi:10.1103/physreva.83.040503

Cited by 6 publications

(10 citation statements)

References 38 publications

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“…At this point we wish to point out that the conservative forces obtained in Eqs. (10) and (11) are compatible with recent results on spatial correlations of speckle patterns at extremely close distances from disordered media interfaces (cf. Sec.…”

Section: A Fields From the Primary Sourcesupporting

confidence: 92%

“…In contrast with the corresponding Eqs. (10) and 11, the interference force decays with the distance as 1/z 2 , or with the coherence length as 1/σ 2 . We now turn to study the opposite asymptotic case, i.e., that of larger distances z > λ; this excludes any quasistatic approximation.…”

Section: A Fields From the Primary Sourcementioning

confidence: 99%

“…Many previous studies have addressed the response of atoms and nanoparticles to random radiation forces, specifically those due to fields from a fluctuating source [1]. Most of them have dealt with δ-correlated sources, such as those thermal and blackbodies, specially in connection with the Van der Waals (VdW) and Casimir-Polder (CP) interactions [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Recently, magnetodielectric particles, made of a nonmagnetic material of high permittivity such as ceramics in the microwaves and semiconductors in the optical regions, have attracted much attention due to their exotic properties as scatterers and nanoantennas, as a consequence of the coupling between their electric and magnetic dipoles induced by the illuminating light field [18][19][20][21][22][23][24][25][26]; in addition, they are excellent laboratory systems to test and tailor the effects of such interactions [18,19,27].…”

Section: Introductionmentioning

confidence: 99%

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Tailoring photonic forces on a magnetodielectric nanoparticle with a fluctuating optical source

2013

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We address the forces exerted by the random electromagnetic field emitted by a fluctuating optical source on a kind of dielectric nanoparticles that have arisen much interest because of their recently shown magnetodielectric behavior. The illumination with light, or other electromagnetic wave, of a given state of coherence allows us to create photonic forces, a particular case of which are optical analogous to the Casimir-Polder and van der Waals forces, as well as of thermal forces out of thermodynamic equilibrium. This leads to a deeper understanding of the conditions and limitations under which some theories of these forces were established. We also study the effects of the coherence length and of sharp changes in the particle differential scattering cross section due to Kerker minimum forward or zero backward conditions. We show how the nanoparticle Mie resonances, constituted by the induced electric and magnetic dipoles, lead to long distance attractions to the source, as well as to the possible predominance of magnetic forces. In addition, it is shown how, by manipulating the fluctuating source, either pushing or tractor beams are obtained, even in the far zone. These effects are specially relevant when quasimonochromatic emission is employed, and manifest the possibility of performing a monitoring of these mechanical interactions, in particular by a photonic analogy of those aforementioned classical thermal forces. This opens paths to nanoparticle ensembling and manipulation. The influence of the excitation of surface waves of the source is also considered.

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Section: A Fields From the Primary Sourcesupporting

confidence: 92%

Section: A Fields From the Primary Sourcementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tailoring photonic forces on a magnetodielectric nanoparticle with a fluctuating optical source

2013

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“…In principle, this scattering problem may be solved by any of the myriad available techniques for numerical solution of scattering problems (although the need for imaginaryfrequency calculations poses something of a limitation in practice). To date, computational Casimir methods based on numerical evaluation of (18) have been implemented using a variety of standard techniques in computational electromagnetism: the finite-difference frequency-domain method [46], [60], the finite-difference time-domain method [with some transformations to convert the integral over frequencies in (18) into an integral over the time-domain response of a current pulse] [61]- [63], and the boundary-element method [64], [65].…”

Section: E Numerical Approaches To Casimir Computationsmentioning

confidence: 99%

Fluctuation-Induced Phenomena in Nanoscale Systems: Harnessing the Power of Noise

Reid

Rodríguez

Johnson³

2013

Proc. IEEE

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Abstract-The famous Johnson-Nyquist formula relating noise current to conductance has a microscopic generalization relating noise current density to microscopic conductivity, with corollary relations governing noise in the components of the electromagnetic fields. These relations, known collectively in physics as fluctuation-dissipation relations, form the basis of the modern understanding of fluctuation-induced phenomena, a field of burgeoning importance in experimental physics and nanotechnology. In this review, we survey recent progress in computational techniques for modeling fluctuation-induced phenomena, focusing on two cases of particular interest: near-field radiative heat transfer and Casimir forces. In each case we review the basic physics of the phenomenon, discuss semi-analytical and numerical algorithms for theoretical analysis, and present recent predictions for novel phenomena in complex material and geometric configurations.

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“…Results obtained using our new technique have appeared in print before [4][5][6][7][8], and Refs. [4,5] briefly sketched the path-integral derivation of our method, but omitted many details.…”

Section: Introductionmentioning

confidence: 99%

Fluctuating surface currents: An algorithm for efficient prediction of Casimir interactions among arbitrary materials in arbitrary geometries

2013

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This paper presents a new method for the efficient numerical computation of Casimir interactions between objects of arbitrary geometries, composed of materials with arbitrary frequency-dependent electrical properties. Our method formulates the Casimir effect as an interaction between effective electric and magnetic current distributions on the surfaces of material bodies, and obtains Casimir energies, forces, and torques from the spectral properties of a matrix that quantifies the interactions of these surface currents. The method can be formulated and understood in two distinct ways: (1) as a consequence of the familiar stress-tensor approach to Casimir physics, or, alternatively, (2) as a particular case of the path-integral approach to Casimir physics, and we present both formulations in full detail. In addition to providing an algorithm for computing Casimir interactions in geometries that could not be efficiently handled by any other method, the framework proposed here thus achieves an explicit unification of two seemingly disparate approaches to computational Casimir physics.

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Calculation of nonzero-temperature Casimir forces in the time domain

Cited by 6 publications

References 38 publications

Tailoring photonic forces on a magnetodielectric nanoparticle with a fluctuating optical source

Tailoring photonic forces on a magnetodielectric nanoparticle with a fluctuating optical source

Fluctuation-Induced Phenomena in Nanoscale Systems: Harnessing the Power of Noise

Fluctuating surface currents: An algorithm for efficient prediction of Casimir interactions among arbitrary materials in arbitrary geometries

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