Exact surface impedance formulation of the Casimir force: Application to spatially dispersive metals

Esquivel, R.; Villarreal, Cuauhtémoc Calderón; Mochán, W. Luis

doi:10.1103/physreva.68.052103

Cited by 101 publications

(31 citation statements)

References 19 publications

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“…In that case, of course, the above result agrees with the one obtained through a conventional way [18]. When removing a mirror (letting, say, d 2 → ∞), the above result gives the Casimir force between two arbitrary planar objects, as also obtained recently through a different approach [19].…”

Section: -3supporting

confidence: 87%

Recursion relations for generalized Fresnel coefficients: Casimir force in a planar cavity

Tomaš

2010

Phys. Rev. A

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We emphasize and demonstrate that besides using the usual recursion relations involving successive layers, generalized Fresnel coefficients of a multilayer can equivalently be calculated using the recursion relations involving stacks of layers, as introduced some time ago [M. S. Tomaš, Phys. Rev. A 51, 2545 (1995)]. Moreover, since the definition of the generalized Fresnel coefficients employed does not imply properties of the stacks, these nonstandard recursion relations can be used to calculate Fresnel coefficients not only for a local but also for a general multilayer consisting of various types (local, nonlocal, inhomogeneous, etc.) of layers. Their utility is illustrated by deriving a few simple algorithms for calculating the reflectivity of a Bragg mirror and extending the formula for the Casimir force in a planar cavity to arbitrary media.

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Section: -3supporting

confidence: 87%

Recursion relations for generalized Fresnel coefficients: Casimir force in a planar cavity

Tomaš

2010

Phys. Rev. A

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“…The finite temperature contribution added to the quantum fluctuations has originated a lengthy debate about the interplay of the thermal contribution with the finite conductivity properties of the surfaces (see for instance [48][49][50][51][52][53][54][55][56][57][58][59] for the initial steps of the debate). On the experimental side, attempts to evidence the thermal contribution discriminating various models have been reported for the sphere-plane geometry [9], while proposals using torsional balances in the parallel-plane configuration [60,61] are under development.…”

Section: Introductionmentioning

confidence: 99%

Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry

et al. 2010

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We report on measurements performed on an apparatus aimed to study the Casimir force in the cylinder-plane configuration. The electrostatic calibrations evidence anomalous behaviors in the dependence of the electrostatic force and the minimizing potential upon distance. We discuss analogies and differences of these anomalies with respect to those already observed in the sphere-plane configuration. At the smallest explored distances we observe frequency shifts of non-Coulombian nature preventing the measurement of the Casimir force in the same range. We also report on measurements performed in the parallel-plane configuration, showing that the dependence on distance of the minimizing potential, if present at all, is milder than in the sphere-plane or cylinder-plane geometries. General considerations on the interplay between the distance-dependent minimizing potential and the precision of Casimir force measurements in the range relevant to detect the thermal corrections for all geometries are finally reported

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“…The description of a spatially nonlocal material and its optical response at the interface with vacuum or another dielectric has been investigated in various contexts by many authors (see for example Refs. [16,20,[23][24][25][26][27][28][29][30][31][32][33]). While in the abstract configuration of an infinite bulk material the symmetry of the system allows for a self-consistent description of the dynamics, this turns out to be considerably more difficult as soon as an interface occurs.…”

Section: Models For Spatial Dispersionmentioning

confidence: 99%

Extended hydrodynamic description for nonequilibrium atom-surface interactions

Reiche¹,

Oelschläger²,

Busch³

et al. 2019

J. Opt. Soc. Am. B

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The dissipative properties of spatially nonlocal conductors are investigated in the context of quantum friction acting on an atom moving above a macroscopic body. The focus is on an extended version of the hydrodynamic model for the bulk material's electromagnetic response. It is shown that the standard hydrodynamic description is inadequate for evaluating the frictional force since it completely neglects Landau damping. The extended version of the model contains a frequencydependent compressibility factor for the Fermi liquid and qualitatively resolves this issue. For a quantitative assessment, these results are contrasted with those obtained for the more fundamental Boltzmann-Mermin model. Since the latter is technically involved, the simplicity of the extended hydrodynamic model allows for an easier analysis of the impact of nonlocality on quantum friction for other (planar) geometries. This is illustrated with an example involving a thin slab.

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Exact surface impedance formulation of the Casimir force: Application to spatially dispersive metals

Cited by 101 publications

References 19 publications

Recursion relations for generalized Fresnel coefficients: Casimir force in a planar cavity

Recursion relations for generalized Fresnel coefficients: Casimir force in a planar cavity

Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry

Extended hydrodynamic description for nonequilibrium atom-surface interactions

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