Casimir Interactions for Anisotropic Magnetodielectric Metamaterials
arXiv:0807.3572 · doi:10.1103/PhysRevA.78.032117
Abstract
We extend our previous work [Phys. Rev. Lett. {\bf 100}, 183602 (2008)] on the generalization of the Casimir-Lifshitz theory to treat anisotropic magnetodielectric media, focusing on the forces between metals and magnetodielectric metamaterials and on the possibility of inferring magnetic effects by measurements of these forces. We present results for metamaterials including structures with uniaxial and biaxial magnetodielectric anisotropies, as well as for structures with isolated metallic or dielectric properties that we describe in terms of filling factors and a Maxwell Garnett approximation. The elimination or reduction of Casimir "stiction" by appropriate engineering of metallic-based metamaterials, or the indirect detection of magnetic contributions, appear from the examples considered to be very challenging, as small background Drude contributions to the permittivity act to enhance attraction over repulsion, as does magnetic dissipation. In dielectric-based metamaterials the magnetic properties of polaritonic crystals, for instance, appear to be too weak for repulsion to overcome attraction. We also discuss Casimir-Polder experiments, that might provide another possibility for the detection of magnetic effects.
17 pages, 12 figures
References in corpus (43)
- New Developments in the Casimir Effect
- Demonstration of Near-Infrared Negative-Index Materials
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- Measurement of the Casimir force between parallel metallic surfaces
- Negative-index metamaterial at 780 nm wavelength
- Nanofabricated media with negative permeability at visible frequencies
- The Casimir effect: Recent controversies and progress
- Measurement of the Temperature Dependence of the Casimir-Polder Force
- Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
- Casimir forces between arbitrary compact objects
- Measurement of the Casimir force between dissimilar metals
- Casimir force between metallic mirrors
- Repulsive Casimir forces
- Measurement of the Casimir-Polder force through center-of-mass oscillations of a Bose-Einstein condensate
- The Casimir effect within scattering theory
- Casimir interaction between a plate and a cylinder
- Quantum reflection of atoms from a solid surface at normal incidence
- Dispersion forces in macroscopic quantum electrodynamics
- Casimir Effect on the Worldline
- Experimental Observation of Quantum Reflection in the High Energy Limit
- Casimir-Lifshitz Theory and Metamaterials
- Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
- The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
- Scalar Casimir effect between Dirichlet spheres or a plate and a sphere
- Quantum levitation by left-handed metamaterials
- On the torque on birefringent plates induced by quantum fluctuations
- Casimir force in absorbing multilayers
- Thermal corrections to the Casimir effect
- Influence of slab thickness on the Casimir force
- Exact Casimir interaction between eccentric cylinders
- Casimir force between designed materials: what is possible and what not
- Casimir energy between a plane and a sphere in electromagnetic vacuum
- Fluctuation induced quantum interactions between compact objects and a plane mirror
- Computation and visualization of Casimir forces in arbitrary geometries: non-monotonic lateral forces and failure of proximity-force approximations
- Experiment and theory in the Casimir effect
- Comment on Repulsive Casimir Forces
- New features of the thermal Casimir force at small separations
- Casimir force between dispersive magnetodielectrics
- Casimir repulsion and metamaterials
- Casimir forces between arbitrary compact objects: Scalar and electromagnetic field
- Casimir Force on Real Materials - the Slab and Cavity Geometry
- Long-range magnetic interaction due to the Casimir effect
- A new "polarized version" of the Casimir Effect is measurable
Cited by in corpus (51)
- Towards a black body for near-field thermal radiation
- A Materials Perspective on Casimir and van der Waals Interactions
- Repulsive Casimir Force in Chiral Metamaterials
- Modulation of near-field heat transfer between two gratings
- Strong Casimir force reduction through metallic surface nanostructuring
- Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
- Investigation of the Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies
- No quantum friction between uniformly moving plates
- Measurement of the gradient of the Casimir force between a nonmagnetic sphere and a magnetic plate
- Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
- Non-touching nanoparticle diclusters bound by repulsive and attractive Casimir forces
- Dispersive interactions between atoms and non planar surfaces
- Local effects of the quantum vacuum in Lorentz-violating electrodynamics
- Repulsive Casimir forces with finite-thickness slabs
- Casimir effect between ponderable media as modeled by the standard model extension
- Casimir-Polder repulsion near edges: wedge apex and a screen with an aperture
- Casimir force between Weyl semimetals in a chiral medium
- Casimir-Polder Shift and Decay Rate in the Presence of Nonreciprocal Media
- Casimir-Lifshitz Force for Nonreciprocal Media and Applications to Photonic Topological Insulators
- Interaction of a graphene sheet with a ferromagnetic metal plate
- Casimir entropy for magnetodielectrics
- Mixing rules and the Casimir force between composite systems
- On the possibility of Casimir repulsion using Metamaterials
- Graphene through the looking glass of QFT
- Spontaneous decay rate and Casimir-Polder potential of an atom near a lithographed surface
- Progress in Experimental Measurements of the Surface-Surface Casimir Force: Electrostatic Calibrations and Limitations to Accuracy
- Structural anisotropy and orientation-induced Casimir repulsion in fluids
- Inducing and controlling rotation on small objects using photonic topological materials
- Derivative expansion for the boundary interaction terms in the Casimir effect: generalized -potentials
- Nonequilibrium Casimir-Polder plasmonic interactions
- Probing topological phase transitions via quantum reflection in the graphene family materials
- Repulsive vacuum-induced forces on a magnetic particle
- Maxwell Eigenmode approach to the Casimir-Lifshitz Torque
- Computation of Casimir forces for dielectrics or intrinsic semiconductors based on the Boltzmann transport equation
- Perturbative Roughness Corrections to Electromagnetic Casimir Energies
- Repulsive Casimir force between silicon dioxide and superconductor
- Mode structure and polaritonic contributions to the Casimir effect in a magneto-dielectric cavity
- Effect of the Heterogeneity of Metamaterials on Casimir-Lifshitz Interaction
- Switching the sign of the Casimir force between two PEMC spheres
- Quantum vacuum photon modes and repulsive Lifshitz-van der Waals interactions
- Casimir effect for biaxial anisotropic plates with surface conductivity
- Special features of the thermal Casimir effect across a uniaxial anisotropic film
- Resonant Casimir--Polder forces in planar meta-materials
- Magnetic Anistropy due to the Casimir Effect
- Novel approaches to tailor and tune light-matter interactions at the nanoscale
- Controlling the atom-sphere interaction with an external electric field
- Casimir-Polder interaction of neutrons with metal or dielectric surfaces
- Casimir effect in twisted photonic gratings with in-plane chirality
- 2+1 dimensional Fermions on the low-buckled honey-comb structured lattice plane and classical Casimir-Polder force
- Casimir energy for constant conductivity -plates with a neural network perception
- Searching Repulsive Casimir Forces Between Magneto-Electric Materials