Casimir effect in absorbing media

Kupiszewska, Dorota

doi:10.1103/physreva.46.2286

Cited by 77 publications

(68 citation statements)

References 43 publications

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“…(4.22), (4.24). This case was especially considered in [111]. For anisotropic plates along with the vacuum force a torque can appear which tends to change the mutual orientation of the bodies (see [24,112,113]).…”

Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

New developments in the Casimir effect

2001

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

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Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

New developments in the Casimir effect

2001

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“…The method has been extended to an arbitrary dielectric with a given local complex permittivity [3]. Another approach to the problem of quantization in lossy dielectrics uses Langevin forces to describe noise, and has been applied to the calculation of quantum optical processes in dielectric slabs with local susceptibility [4,5] and to the calculation of Casimir forces in absorbing dielectrics [6,7]. A comprehensive treatment of electromagnetic fields in dispersive and absorbing dielectrics based on the Langevin forces has been given in [8,9].…”

Section: Introductionmentioning

confidence: 99%

Microscopic calculation of noise current operators for electromagnetic field quantization in absorbing material systems

Stefano

Savasta

Girlanda

2001

J. Opt. B: Quantum Semiclass. Opt.

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We present a microscopic quantization scheme for the electromagnetic field in dispersive and lossy dielectrics of arbitrary geometry. This method also describes anisotropic media and media driven by light field via a spatially nonlocal permittivity. The method removes the need for complicated diagonalization of material, reservoir and field variables and allows us to include the effect of all the material excitations. Dissipation inside the medium is described by considering the coupling of the polarization quanta of the system with the reservoir oscillators in the usual Langevin approach.

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“…In the context of the one-dimensional theory of the Casimir force on absorbing bodies, the harmonicoscillator model has been used to study the interaction of damped medium oscillators with the transverse part of the quantized one-dimensional electromagnetic field, with special emphasis on homogeneous media [32]. Extending the one-dimensional theory to three dimensions, we begin with the Heisenberg equations of motion of the system in the form oḟ…”

Section: Harmonic-oscillator Mediummentioning

confidence: 99%

“…(24) and (25) and employing Eqs. (31), (32), and (48)- (50), we can calculate the thermal-equilibrium correlation functions of the electric field and the induction field to obtain…”

Section: Casimir Force On Bodies Embedded In Dispersing and Absomentioning

confidence: 99%

Casimir force acting on magnetodielectric bodies embedded in media

Raabe

Welsch

2005

Phys. Rev. A

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Within the framework of macroscopic quantum electrodynamics, general expressions for the Casimir force acting on linearly and causally responding magnetodielectric bodies that can be embedded in another linear and causal magnetodielectric medium are derived. Consistency with microscopic harmonic-oscillator models of the matter is shown. The theory is applied to planar structures and proper generalizations of Casimir's and Lifshitz-type formulas are given.

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Casimir effect in absorbing media

Cited by 77 publications

References 43 publications

New developments in the Casimir effect

New developments in the Casimir effect

Microscopic calculation of noise current operators for electromagnetic field quantization in absorbing material systems

Casimir force acting on magnetodielectric bodies embedded in media

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