Casimir interaction of dielectric gratings

Abstract

We derive an exact solution for the Casimir force between two arbitrary periodic dielectric gratings and illustrate our method by applying it to two nanostructured silicon gratings. We also reproduce the Casimir force gradient measured recently [1] between a silicon grating and a gold sphere taking into account the material dependence of the force. We find good agreement between our theoretical results and the measured values both in absolute force values and the ratios between the exact force and PFA predictions.

4 pages, 4 figures, revtex4

References in corpus (15)

• Casimir forces between arbitrary compact objects
• Casimir force between metallic mirrors
• The Casimir effect within scattering theory
• Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
• Surface plasmon modes and the Casimir energy
• The Casimir force and the quantum theory of lossy optical cavities
• Casimir effect with rough metallic mirrors
• The Casimir effect for thin plasma sheets and the role of the surface plasmons
• Coupled surface polaritons and the Casimir force
• Influence of slab thickness on the Casimir force
• Casimir energy between a plane and a sphere in electromagnetic vacuum
• Casimir interaction of two plates inside a cylinder
• Non perturbative approach to Casimir interactions in periodic geometries
• Higher order conductivity corrections to the Casimir force
• Casimir interaction: pistons and cavity

Cited by in corpus (79)

• The Casimir force between real materials: experiment and theory
• A Materials Perspective on Casimir and van der Waals Interactions
• Finite temperature Casimir effect for graphene
• Strong Casimir force reduction through metallic surface nanostructuring
• A scattering approach to Casimir forces and radiative heat transfer for nanostructured surfaces out of thermal equilibrium
• Efficient Computation of Casimir Interactions between Arbitrary 3D Objects
• Fluctuating surface-current formulation of radiative heat transfer for arbitrary geometries
• Spectrally enhancing near-field radiative transfer between gold gratings by exciting magnetic polariton in nanometric vacuum gaps
• Demonstration of the asymmetric lateral Casimir force between corrugated surfaces in the nonadditive regime
• Radiative heat transfer between two dielectric nanogratings in the scattering approach
• Casimir interaction between plane and spherical metallic surfaces
• Thermal Casimir Effect in the Plane-Sphere Geometry
• The Casimir force on a surface with shallow nanoscale corrugations: Geometry and finite conductivity effects
• Probing the Casimir force with optical tweezers
• Dispersive interactions between atoms and non planar surfaces
• Comparison of Chiral Metamaterial Designs for Repulsive Casimir Force
• Directional spontaneous emission and lateral Casimir-Polder force on an atom close to a nanofiber
• Theory of Quantum Friction
• Radiative heat transfer between metallic gratings using adaptive spatial resolution
• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Control of the Casimir Force Using Semiconductor Test Bodies
• Modal Approach to Casimir Forces in Periodic Structures
• Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings
• Casimir-Polder effect for a plane with Chern-Simons interaction
• Casimir-Polder interaction between an atom and a dielectric grating
• Strong thermal and electrostatic manipulation of the Casimir force in graphene multilayers
• Probing atom-surface interactions by diffraction of Bose-Einstein condensates
• Giant Casimir torque between rotated gratings and the $\theta =0$ anomaly
• Casimir force measurements in Au-Au and Au-Si cavities at low temperature
• Thermal Casimir force between nanostructured surfaces
• Spectrally enhancing near-field radiative heat transfer by exciting magnetic polariton in SiC gratings
• Casimir interaction between a sphere and a grating
• Casimir torque between nanostructured plates
• The Casimir effect: medium and geometry
• The Casimir effect in topological matter
• Impact of anisotropy on the interaction of an atom with a one-dimensional nano-grating
• Casimir densities for a spherical boundary in de Sitter spacetime
• The Casimir energy between nanostructured gratings of arbitrary periodic profile
• Casimir interactions of an object inside a spherical metal shell
• A quasi-analytical modal approach for computing Casimir interactions in periodic nanostructures
• Multiple Scattering Casimir Force Calculations: Layered and Corrugated Materials, Wedges, and Casimir-Polder Forces
• Lateral Casimir-Polder forces by breaking time-reversal symmetry
• Spontaneous decay rate and Casimir-Polder potential of an atom near a lithographed surface
• Disorder in quantum vacuum: Casimir-induced localization of matter waves
• Universal scaling laws for dispersion interactions
• Structural anisotropy and orientation-induced Casimir repulsion in fluids
• Casimir effect for perfect electromagnetic conductors (PEMCs): A sum rule for attractive/repulsive forces
• Casimir interaction of two dielectric half spaces with Chern-Simons boundary layers
• Monte-Carlo calculation of the lateral Casimir forces between rectangular gratings within the formalism of lattice quantum field theory
• Spoof polariton enhanced modal density of states in planar nanostructured metallic cavities
• Single-Interface Casimir Torque
• Nonequilibrium atom-surface interaction with lossy multi-layer structures
• The Casimir force between a microfabricated elliptic cylinder and a plate
• Enhanced radiative heat transfer between nanostructured gold plates
• Tunable non-additivity in Casimir-Lifshitz force between graphene gratings
• Quantum vacuum photon-modes and superhydrophobicity
• Casimir Energies of Periodic Dielectric Gratings
• Peak, valley and intermediate regimes in the lateral van der Waals force
• Classical Casimir interaction of perfectly conducting sphere and plate
• Driving quantized vortices with quantum vacuum fluctuations
• Casimir effect in the scattering approach: correlations between material properties, temperature and geometry
• Casimir induced instabilities at metallic surfaces and interfaces
• Casimir-Lifshitz Interaction between Dielectric Heterostructures
• Perturbative Roughness Corrections to Electromagnetic Casimir Energies
• Divergences in the vacuum energy for frequency-dependent interactions
• Comparison of the experimental data for the Casimir pressure with the Lifshitz theory at zero temperature
• Effect of the Heterogeneity of Metamaterials on Casimir-Lifshitz Interaction
• The Casimir Effect in Spheroidal Geometries
• Casimir effect for biaxial anisotropic plates with surface conductivity
• Material Dependence of the Wire-Particle Casimir Interaction
• Critical Casimir forces between planar and crenellated surfaces
• Lateral interatomic dispersion forces
• A Field Theoretic Approach to Roughness Corrections
• Casimir-Lifshitz force for graphene-covered gratings
• Casimir-Polder interaction with Chern-Simons boundary layers
• Resonant mode approximation of the scattering matrix of photonic crystal slabs near several Wood-Rayleigh anomalies
• Quantum Fields bounded by one dimensional crystal plates
• Casimir effect in kinetic theory
• Casimir effect in twisted photonic gratings with in-plane chirality