Dipole de-excitation near orthogonal conductor surfaces

Skipsey, Samuel Cadellin; Juzeliūnas, Gediminas; Al‐Amri, M.; Babiker, M.

doi:10.1016/j.optcom.2005.06.005

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…The interaction of an atom with a wedge was studied in Refs. [31,32,33,34,35]; this geometry is that of the experiment by Sukenik et al carried out more than 15 years ago [36].…”

Section: Introductionmentioning

confidence: 99%

Casimir effect for a semitransparent wedge and an annular piston

2009

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We consider the Casimir energy due to a massless scalar field in a geometry of an infinite wedge closed by a Dirichlet circular cylinder, where the wedge is formed by δ-function potentials, so-called semitransparent boundaries. A finite expression for the Casimir energy corresponding to the arc and the presence of both semitransparent potentials is obtained, from which the torque on the sidewalls can be derived. The most interesting part of the calculation is the nontrivial nature of the angular mode functions. Numerical results are obtained which are closely analogous to those recently found for a magnetodielectric wedge, with the same speed of light on both sides of the wedge boundaries.Alternative methods are developed for annular regions with radial semitransparent potentials, based on reduced Green's functions for the angular dependence, which allows calculations using the multiple-scattering formalism. Numerical results corresponding to the torque on the radial plates are likewise computed, which generalize those for the wedge geometry. Generally useful formulas for calculating Casimir energies in separable geometries are derived.

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“…The interaction of an atom with a wedge was studied in Refs. [31,32,33,34,35]; this geometry is that of the experiment by Sukenik et al carried out more than 15 years ago [36].…”

Section: Introductionmentioning

confidence: 99%

Casimir effect for a semitransparent wedge and an annular piston

2009

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“…[10][11][12] The interaction of an atom with a wedge was studied experimentally by Sukenik et al 13 The theory of that interaction was worked out by Barton 14 and others. [15][16][17][18] The semitransparent wedge has very recently been considered by Milton, Wagner, and Kirsten. 19 The closely related case of circular symmetry has been treated in several papers, dealing with a perfectly conducting circular boundary, [20][21][22] as well as the case of a dielectric circular boundary.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Casimir Effect in Wedge Geometry and the Energy-Momentum Tensor in Media

Brevik

Ellingsen

Milton

2010

Quantum Field Theory Under the Influence of External Conditions (QFEXT09)

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The wedge geometry closed by a circular-cylindrical arc is a nontrivial generalization of the cylinder, which may have various applications. If the radial boundaries are not perfect conductors, the angular eigenvalues are only implicitly determined. When the speed of light is the same on both sides of the wedge, the Casimir energy is finite, unlike the case of a perfect conductor, where there is a divergence associated with the corners where the radial planes meet the circular arc. We advance the study of this system by reporting results on the temperature dependence for the conducting situation. We also discuss the appropriate choice of the electromagnetic energy-momentum tensor.

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“…A wedge intercut by a cylindrical shell was considered by Nesterenko and co-workers, first for a semi-cylinder [24], then for arbitrary opening angle [25], and the corresponding local stresses were studied by Saharian [26,27,28]. The group at Los Alamos studied the interaction of an atom with a wedge [29,30] previously investigated by Barton [31] and others [32,33], the geometry realised in an experiment by Sukenik et al some years ago [34]. A recent calculation of the Casimir energy of a magnetodielectric cylinder intercut by a perfectly reflecting wedge filled with magnetodielectric material was recently reported by the current authors [35].…”

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confidence: 99%

Electrodynamic Casimir effect in a medium-filled wedge. II

2009

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We consider the Casimir energy in a geometry of an infinite magnetodielectric wedge closed by a circularly cylindrical, perfectly reflecting arc embedded in another magnetodielectric medium, under the condition that the speed of light be the same in both media. An expression for the Casimir energy corresponding to the arc is obtained and it is found that in the limit where the reflectivity of the wedge boundaries tends to unity the finite part of the Casimir energy of a perfectly conducting wedge-shaped sheet closed by a circular cylinder is regained. The energy of the latter geometry possesses divergences due to the presence of sharp corners. We argue how this is a pathology of the assumption of ideal conductor boundaries and that no analogous term enters in the present geometry.

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Dipole de-excitation near orthogonal conductor surfaces

Cited by 6 publications

References 12 publications

Casimir effect for a semitransparent wedge and an annular piston

Casimir effect for a semitransparent wedge and an annular piston

Electromagnetic Casimir Effect in Wedge Geometry and the Energy-Momentum Tensor in Media

Electrodynamic Casimir effect in a medium-filled wedge. II

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