Casimir force between two dielectric slabs

Matloob, Reza; Falinejad, Hossein

doi:10.1103/physreva.64.042102

Cited by 53 publications

(33 citation statements)

References 34 publications

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“…An important point to emphasize is that unlike certain authors in the past (e.g. [53]) we make no principal difference between the walls of the cavity and the slab; they are both made of real materials with finite permittivity and conductivity at all frequencies as is the case in any real experimental setting. The net force density per unit transverse area acting on the slab is found by first placing the source (i.e.…”

Section: Casimir Force On a Slab In A Cavitymentioning

confidence: 99%

Casimir force on real materials—the slab and cavity geometry

Ellingsen¹,

Brevik²

2007

J. Phys. A: Math. Theor.

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Abstract. We analyse the potential of the geometry of a slab in a planar cavity for the purpose of Casimir force experiments. The force and its dependence on temperature, material properties and finite slab thickness are investigated both analytically and numerically for slab and walls made of aluminium and teflon FEP respectively. We conclude that such a setup is ideal for measurements of the temperature dependence of the Casimir force. By numerical calculation it is shown that temperature effects are dramatically larger for dielectrics, suggesting that a dielectric such as teflon FEP whose properties vary little within a moderate temperature range, should be considered for experimental purposes. We finally discuss the subtle but fundamental matter of the various Green's two-point function approaches present in the literature and show how they are different formulations describing the same phenomenon.

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Section: Casimir Force On a Slab In A Cavitymentioning

confidence: 99%

Casimir force on real materials—the slab and cavity geometry

Ellingsen¹,

Brevik²

2007

J. Phys. A: Math. Theor.

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“…after quantization of the fields, where byˆwe mean operator and the operator with positive frequency is the Hermitian conjugate of the negative one.P ± N is the noise part of the polarization field that according to the fluctuationdissipation theorem [25,28] satisfies…”

Section: Field Quantization Using Path Integralsmentioning

confidence: 99%

“…(31-33), we compare them with the results of the other methods of field quantization. In other conventional methods of phenomenological field quantization [28], the fields can be divided into positive (+) and negative (−) frequencies parts which satisfy the constitutive relation…”

Section: Field Quantization Using Path Integralsmentioning

confidence: 99%

Casimir force in the presence of a medium

2010

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In this article we investigate the Casimir effect in the presence of a medium by quantizing the Electromagnetic (EM) field in the presence of a magnetodielectric medium by using the path integral formalism. For a given medium with definite electric and magnetic susceptibilities, explicit expressions for the Casimir force are obtained which are in agree with the original Casimir force between two conducting parallel plates immersed in the quantum electromagnetic vacuum.

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“…The reason is that the absorptive dielectrics can dissipate the EM energy [17][18][19]. In the other hand, it has been shown that if the energy is pumped into the medium artificially, for example by lasers, the EM energy can be amplified in some regions of frequency [20][21][22][23][24]. These kinds of media are called amplifying media, where the EM energy can be amplified.…”

Section: Introductionmentioning

confidence: 99%

Nonmonotonic Casimir interaction: The role of amplifying dielectrics

Soltani

Sarabadani²,

Zakeri

2017

Phys. Rev. A

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The normal and the lateral Casimir interactions between corrugated ideal metallic plates in the presence of an amplifying or an absorptive dielectric slab has been studied by the path-integral quantization technique. The effect of the amplifying slab, which is located between corrugated conductors, is to increase the normal and lateral Casimir interactions, while the presence of the absorptive slab diminishes the interactions. These effects are more pronounced if the thickness of the slab increases, and also if the slab comes closer to one of the bounding conductors. When both bounding ideal conductors are flat, the normal Casimir force is non-monotonic in the presence of the amplifying slab and the system has a stable mechanical equilibrium state, while the force is attractive and is weakened by intervening the absorptive dielectric slab in the cavity. By replacing one of the flat conductors by a flat ideal permeable plate the force becomes non-monotonic and the system has an unstable mechanical equilibrium state in the presence of either an amplifying or an absorptive slab. When the left side plate is conductor and the right one is permeable, the force is non-monotonic in the presence of a double-layer DA (dissipative-amplifying) dielectric slab with a stable mechanical equilibrium state, while it is purely repulsive in the presence of a double-layer AD (amplifying-dissipative) dielectric slab.

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Casimir force between two dielectric slabs

Cited by 53 publications

References 34 publications

Casimir force on real materials—the slab and cavity geometry

Casimir force on real materials—the slab and cavity geometry

Casimir force in the presence of a medium

Nonmonotonic Casimir interaction: The role of amplifying dielectrics

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