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Related papers: Casimir energy and geometry : beyond the Proximity…

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The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an…

Quantum Physics · Physics 2008-07-31 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

This article reviews recent progress on the geometry dependence of Casimir interactions and presents some applications to nanosystems. The article consists of three parts: (i) Some examples for geometry dependence: structured surfaces,…

Statistical Mechanics · Physics 2009-01-30 Thorsten Emig

We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

Materials Science · Physics 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The lateral Casimir force acting between a sinusoidally corrugated gold plate and sphere was calculated and measured. The experimental setup was based on the atomic force microscope specially adapted for the measurement of the lateral…

Quantum Physics · Physics 2009-11-07 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

We calculate the Casimir force and its gradient between a spherical and a planar gold surface. Significant numerical improvements allow us to extend the range of accessible parameters into the experimental regime. We compare our numerically…

Quantum Physics · Physics 2017-07-26 Michael Hartmann , Gert-Ludwig Ingold , Paulo A. Maia Neto

Using a path integral approach we rederive a recently found representation of the Casimir energy for a sphere and a cylinder in front of a plane and derive the first correction to the proximity force theorem.

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag

We show the influence of surface plasmons on the Casimir effect between two plane parallel metallic mirrors at arbitrary distances. Using the plasma model to describe the optical response of the metal, we express the Casimir energy as a sum…

Quantum Physics · Physics 2009-11-11 F. Intravaia , A. Lambrecht

We compute the Casimir force for a system composed of two layers as substrates within three different homogenous layers. We use the scattering approach along with the Matsubara formalism in order to calculate the Casimir force at finite…

Soft Condensed Matter · Physics 2015-07-30 A. Moradian , M. R. Setare , S. A. Seyedzahedi

We investigate the electromagnetic Casimir interactions of an object contained within an otherwise empty, perfectly conducting spherical shell. For a small object we present analytical calculations of the force, which is directed away from…

Quantum Physics · Physics 2014-11-20 Saad Zaheer , Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

Casimir force searches provide among the most sensitive laboratory probes of new short range interactions. Existing constraints rely almost exclusively on a single geometry. We show that Casimir geometry constitutes an independent…

High Energy Physics - Phenomenology · Physics 2026-03-25 Xiaolin Ma , Volodymyr Takhistov , Hideo Iizuka

Comparison with theory of Casimir force measurements are used to test the gravity force law at ranges from 0.1 to 10 micrometers. The interest of such tests depends crucially on the theoretical evaluation of the Casimir force in realistic…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Serge Reynaud

The Casimir effect in a dispersive and absorbing multilayered system is considered adopting the (net) vacuum-field pressure point of view to the Casimir force. Using the properties of the macroscopic field operators appropriate for…

Quantum Physics · Physics 2009-11-07 M. S. Tomas

The Casimir effect is a force arising in the macroscopic world as a result of radiation pressure of vacuum fluctuations. It thus plays a key role in the emerging domain of nano-electro-mechanical systems (NEMS). This role is reviewed in the…

Quantum Physics · Physics 2009-11-13 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

The Casimir force is calculated analytically for configurations of two parallel plates and a spherical lens (sphere) above a plate with account of nonzero temperature, finite conductivity of the boundary metal and surface roughness. The…

Quantum Physics · Physics 2009-11-07 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We report on a proposal aimed at measuring the Casimir force in a cylinder-plane configuration. The Casimir force is evaluated including corrections due to finite parallelism, conductivity, and temperature. The range of validity of the…

When comparing experimental results with theoretical predictions of the Casimir force, the accuracy of the theory is as important as the precision of experiments. Here we evaluate the Casimir force when finite conductivity of the reflectors…

Quantum Physics · Physics 2009-11-07 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to…

Quantum Physics · Physics 2015-01-28 Gert-Ludwig Ingold , Astrid Lambrecht

We find the lateral projection of the Casimir force for a configuration of a sphere above a corrugated plate. This force tends to change the sphere position in the direction of a nearest corrugation maximum. The probability distribution…

Quantum Physics · Physics 2009-11-06 G. L. Klimchitskaya , S. I. Zanette , A. O. Caride

Recent measurements of Casimir forces have provided evidence of an intricate modification of quantum fluctuations of the electromagnetic field in complex geometries. Here we introduce a multiple scattering description for Casimir…

Quantum Physics · Physics 2023-05-24 Thorsten Emig , Giuseppe Bimonte

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko