Lateral Casimir force between deeply corrugated dielectric and metallic plates
arXiv:1409.4529 · doi:10.1142/S0217979212500269
Abstract
We study the lateral Casimir force between corrugated dielectric plates. We use the dielectric contrast perturbation theory [R. Golestanian, {\it Phys. Rev. Lett.} {\bf 95}, 230601, (2005)], which allows us to consider arbitrary deformations with large amplitudes. We consider sinusoidal, rectangular, and sawtooth corrugations, for samples made of silicon and gold. We use the plasma and Drude-Lorentz models for the permittivity of gold and silicon, respectively. For these geometries and materials, the lateral Casimir force is {\it not} a sinusoidal function of the relative lateral displacement of plates when the gap between the plates in comparable with the depth of the corrugations. Our results facilitate the design of miniaturized devices based on lateral Casimir forces.
arXiv comment9 pages, 7 figures
References in corpus (24)
- The `Friction' of Vacuum, and other Fluctuation-Induced Forces
- Scattering Theory Approach to Electrodynamic Casimir Forces
- Demonstration of the Lateral Casimir Force
- The Casimir effect within scattering theory
- Probing the Strong Boundary Shape Dependence of the Casimir Force
- Normal and Lateral Casimir Forces between Deformed Plates
- The Mechanical Response of Vacuum
- Experimental and Theoretical Investigation of the Lateral Casimir Force Between Corrugated Surfaces
- Casimir effect with rough metallic mirrors
- Non-contact rack and pinion powered by the lateral Casimir force
- Lateral Casimir force beyond the Proximity Force Approximation
- Efficient Computation of Casimir Interactions between Arbitrary 3D Objects
- Casimir force driven ratchets
- Non perturbative approach to Casimir interactions in periodic geometries
- Rectification of the lateral Casimir force in a vibrating non-contact rack and pinion
- The Casimir force on a surface with shallow nanoscale corrugations: Geometry and finite conductivity effects
- The lateral Casimir force beyond the proximity force approximation: a nontrivial interplay between geometry and quantum vacuum
- A frustrated nanomechanical device powered by the lateral Casimir force
- Modal Approach to Casimir Forces in Periodic Structures
- On the control of the lateral Casimir force between corrugated surfaces
- Computation of Casimir Interactions between Arbitrary 3D Objects with Arbitrary Material Properties
- Lifshitz Interaction between Dielectric Bodies of Arbitrary Geometry
- Casimir-Lifshitz Interaction between Dielectric Heterostructures
- Effect of the Heterogeneity of Metamaterials on Casimir-Lifshitz Interaction