Casimir manipulations: The orientation dependence of fluctuation-induced forces

Abstract

The Casimir interaction between two objects, or between an object and a plane, depends on their relative orientations. We make these angular dependences explicit by considering prolate or oblate spheroids. The variation with orientation is calculated exactly at asymptotically large distances for the electromagnetic field, and at arbitrary separations for a scalar field. For a spheroid in front of a mirror, the leading term is orientation independent, and we find the optimal orientation from computations at higher order.

arXiv comment4 pages, 3 figures

References in corpus (10)

• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Measurement of the Casimir force between parallel metallic surfaces
• Casimir forces between arbitrary compact objects
• Casimir forces in a T operator approach
• Casimir Forces between Compact Objects: I. The Scalar Case
• Fluctuation induced quantum interactions between compact objects and a plane mirror
• Theory and Computation of the Spheroidal Wave Functions
• Plate with a hole obeys the averaged null energy condition
• Investigations on T violation and CPT symmetry in the neutral kaon system -- a pedagogical approach --
• The role of geometry on dispersive forces

Cited by in corpus (36)

• A Materials Perspective on Casimir and van der Waals Interactions
• Scattering Theory Approach to Electrodynamic Casimir Forces
• Numerical methods for computing Casimir interactions
• Casimir force between sharp-shaped conductors
• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models
• Critical Casimir interaction of ellipsoidal colloids with a planar wall
• Critical Casimir torques and forces acting on needles in two spatial dimensions
• A diagrammatic expansion of the Casimir energy in multiple reflections: theory and applications
• The Casimir energy between nanostructured gratings of arbitrary periodic profile
• Casimir interactions of an object inside a spherical metal shell
• Casimir--Polder force between anisotropic nanoparticles and gently curved surfaces
• Anisotropic particles near surfaces: Self-propulsion and friction
• Dispersion interaction between crossed conducting wires
• Collective charge fluctuations and Casimir interactions for quasi one-dimensional metals
• Casimir potential of a compact object enclosed by a spherical cavity
• Scattering Approach for Fluctuation--Induced Interactions at Fluid Interfaces
• Van der Waals torque and force between dielectrically anisotropic layered media
• Anisotropy enhancement of the Casimir-Polder force between a nanoparticle and graphene
• Casimir interaction between inclined metallic cylinders
• Geometry-induced Casimir suspension of oblate bodies in fluids
• Geometry and material effects in Casimir physics - Scattering theory
• Something Can Come of Nothing: Surface Approaches to Quantum Fluctuations and the Casimir Force
• Casimir interaction of rod-like particles in a two-dimensional critical system
• Casimir-Lifshitz Interaction between Dielectric Heterostructures
• Casimir Physics: Geometry, Shape and Material
• Effect of Curvature and Confinement on the Casimir-Polder Interaction
• Effect of the Heterogeneity of Metamaterials on Casimir-Lifshitz Interaction
• Computing the Casimir energy using the point-matching method
• Implications of the Babinet Principle for Casimir Interactions
• Material Dependence of the Wire-Particle Casimir Interaction
• Renyi information from entropic effects in one higher dimension
• Thermal Radiation Force and Torque on Moving Nanostructures with Anisotropic Optical Response
• Exact Electromagnetic Casimir Energy of a Disk Opposite a Plane
• Casimir torque in weak coupling
• Complex orientation dependence of Casimir-Polder interaction induced by curvature and optical properties of the surface and the surrounding medium