Lateral Casimir force beyond the proximity-force approximation.

  title={Lateral Casimir force beyond the proximity-force approximation.},
  author={Robson B. Rodrigues and Paulo A. Maia Neto and Astrid Lambrecht and Serge Reynaud},
  journal={Physical review letters},
  volume={96 10},
We argue that the appropriate variable to study a nontrivial geometry dependence of the Casimir force is the lateral component of the Casimir force, which we evaluate between two corrugated metallic plates outside the validity of the proximity-force approximation. The metallic plates are described by the plasma model, with arbitrary values for the plasma wavelength, the plate separation, and the corrugation period, the corrugation amplitude remaining the smallest length scale. Our analysis… 

Figures from this paper

Casimir Effect in the Scattering Approach: Correlations Between Material Properties, Temperature and Geometry

We present calculations of the quantum and thermal Casimir interaction between real mirrors in electromagnetic fields using the scattering approach. We begin with a pedagogical introduction of this

The Casimir Interaction between Spheres Immersed in Electrolytes

We investigate the Casimir interaction between two dielectric spheres immersed in an electrolyte solution. Since ionized solutions typically correspond to a plasma frequency much smaller than kBT/ħ

Tunable self-assembled Casimir microcavities and polaritons.

Spontaneous formation of ordered structures-self-assembly-is ubiquitous in nature and observed on different length scales, ranging from atomic and molecular systems to micrometre-scale objects and

Casimir microcavities for tunable self-assembled polaritons

Hybrid light-matter states, polaritons, are one of the central concepts in modern quantum optics and condensed matter physics. Polaritons emerge as a result of strong interaction between an optical

Lateral interatomic dispersion forces

Van der Waals forces between atoms and molecules are universally assumed to act along the line separating them. Inspired by recent works on effects which can propel atoms parallel to a macroscopic

Numeric corrections to the proximity-force approximation for lateral Casimir forces

We report a numeric investigation on the proximity-force approximation (PFA) for lateral Casimir forces between a sphere and a grating. Near-unity force correlations are found between the

Electronic zero-point fluctuation forces inside circuit components

This analysis suggests an alternative route toward the exploration of Casimir-like fluctuation potentials, namely, by characterizing and measuring them as a function of parameters of the environment.

Lateral Casimir-Polder forces by breaking time-reversal symmetry

We examine the lateral Casimir-Polder force acting on a circular rotating emitter near a dielectric plane surface. As the circular motion breaks time-reversal symmetry, the spontaneous emission in a

Strong van der Waals Adhesion of a Polymer Film on Rough Substrates.

A model that combines microscopic quantum-chemistry simulations of the polymer response functions and the equilibrium monomer-substrate distance with a macroscopic quantum-electrodynamics calculation of the Casimir force between the polymer film and the substrate is presented.



Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness

In this paper, we present a theoretical description of the scattering and absorption of electromagnetic radiation induced by roughness on the surface of a semi-infinite medium. We approach the

Interaction of electromagnetic waves at rough dielectric surfaces

A systematic perturbation theory is developed to study the interaction of electromagnetic waves at rough dielectric surfaces. The Ewald-Oseen extinction theorem is used as the basis of the

Casimir effect with rough metallic mirrors

We calculate the second-order roughness correction to the Casimir energy for two parallel metallic mirrors. Our results may also be applied to the plane-sphere geometry used in most experiments. The

Control of the lateral Casimir force between corrugated surfaces (4 pages)

The general perturbative expression for the lateral Casimir force between two plates covered by longitudinal corrugations of arbitrary shape is obtained. This expression is applicable for corrugation

Theory confronts experiment in the Casimir force measurements: Quantification of errors and precision

We compare theory and experiment in the Casimir force measurement between gold surfaces performed with the atomic force microscope. Both random and systematic experimental errors are found leading to

Casimir force and the quantum theory of lossy optical cavities

We present a derivation of the Casimir force between two parallel plane mirrors at zero temperature. The two mirrors and the cavity they enclose are treated as quantum optical networks. They are, in

Experimental and theoretical investigation of the lateral Casimir force between corrugated surfaces

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

Casimir force between partially transmitting mirrors

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially

Casimir forces: An exact approach for periodically deformed objects

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir

Untersuchungen über die Reibung und Adhäsion, IV

ZusammenfassungEs wird eine Adhäsionstheorie fester Körper entwickelt, die die molekularen Anziehungskräfte berücksichtigt und zwei verschiedene Formen für folgende beiden Fälle annimmt:1.Die Körper