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The formulation of the Lifshitz formula in terms of real frequencies is reconsidered for half spaces described by the plasma model. It is shown that besides the surface modes (for the TM polarization), and the photonic modes, also waveguide…

Quantum Physics · Physics 2013-05-30 M. Bordag

One-gap and two-gap separable Lame potentials are studied in detail. For the one-dimensional case, we construct the dispersion relation graph E(k) and for the three-dimensional case we construct the Fermi surfaces in the first and second…

Other Condensed Matter · Physics 2007-11-20 Victor G. Baryakhtar , Eugene D. Belokolos , Oleksandr V. Dmytriiev

The Lifshitz theory provides a method to calculate the Casimir force between two flat plates if the frequency dependent dielectric function of the plates is known. In reality any plate is rough and its optical properties are known only to…

Other Condensed Matter · Physics 2015-05-27 P. J. van Zwol , V. B. Svetovoy , G. Palasantzas

We consider two parallel corrugated plates and show that a Casimir torque arises when the corrugation directions are not aligned. We follow the scattering approach and calculate the Casimir energy up to second order in the corrugation…

Quantum Physics · Physics 2008-07-18 Robson B. Rodrigues , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

We investigate the Casimir-Lifshitz force (CLF) between two identical graphene strip gratings, laid on finite dielectric substrates, by using the scattering matrix (S-matrix) approach derived from the Fourier Modal Method with Local Basis…

Mesoscale and Nanoscale Physics · Physics 2024-03-22 Youssef Jeyar , Minggang Luo , Kevin Austry , Brahim Guizal , Yi Zheng , H. B. Chan , Mauro Antezza

The Lifshitz theory provides a semiclassical description of the Casimir-Polder atom-plate interaction, where the electromagnetic field is quantized whereas the material of the plate is considered as a continuous medium. This places certain…

Quantum Physics · Physics 2025-04-10 V. M. Mostepanenko

The stress tensor for the quantized electromagnetic field is calculated in the region between a pair of dispersive, dielectric half-spaces. This generalizes the stress tensor for the Casimir energy to the case where the boundaries have…

Quantum Physics · Physics 2014-11-18 V. Sopova , L. H. Ford

The Lee-Wick electrodynamics in the vicinity of a conducting plate is investigated. The propagator for the gauge field is calculated and the interaction between the plate and a point-like electric charge is computed. The boundary condition…

High Energy Physics - Theory · Physics 2015-07-28 F. A. Barone , A. A Nogueira

A detailed distribution of the force of electromagnetic radiation in and around dielectric media can be obtained by a direct application of the Lorentz law of force in conjunction with Maxwell's equations. We develop a theory of the force…

Optics · Physics 2012-07-12 Masud Mansuripur

We investigate the force acting between two parallel plates held at different temperatures. The force reproduces, as limiting cases, the well known Casimir-Lifshitz surface-surface force at thermal equilibrium and the surface-atom force out…

Statistical Mechanics · Physics 2007-05-23 Mauro Antezza , Lev P. Pitaevskii , Sandro Stringari , Vitaly B. Svetovoy

In a watt balance, stray capacitances exist between the coil and the magnet. Since the electric current flowing in the coil originates a difference between the coil and magnet electric-potentials, their electrostatic interactions must be…

Classical Physics · Physics 2015-06-18 Danilo Quagliotti , Giovanni Mana

The behavior of the electromagnetic field near a common edge of a resistive half-plane and a perfectly conducting wedge is investigated. The possible appearance besides power terms also of logarithmic functions in the field expansions at…

Classical Physics · Physics 2024-10-29 I. M. Braver , P. Sh. Fridberg , Kh. L. Garb , I. M. Yakover

Electromagnetic crimping is a high-velocity joining method to join highly conductive workpieces where a pulsed magnetic field is applied without any working medium or mechanical contact to deform the workpiece. This work explores…

High Energy Physics - Experiment · Physics 2021-05-18 Deepak Kumar , Shafeeque E. S. , Sachin D. Kore , Arup Nandy

We present a new approach to the Helmholtz spectrum for arbitrarily shaped boundaries and general boundary conditions. We derive the boundary induced change of the density of states in terms of the free Green's function from which we obtain…

Statistical Mechanics · Physics 2009-11-10 Rauno Buescher , Thorsten Emig

We present a simulation method to study electrolyte solutions in a dielectric slab geometry using a modified 3D Ewald summation. The method is fast and easy to implement, allowing us to rapidly resum an infinite series of image charges. In…

Soft Condensed Matter · Physics 2015-08-12 Alexandre P. dos Santos , Yan Levin

We study the geometry dependence of the Casimir energy for deformed metal plates by a path integral quantization of the electromagnetic field. For the first time, we give a complete analytical result for the deformation induced change in…

Statistical Mechanics · Physics 2009-11-07 Thorsten Emig , Andreas Hanke , Ramin Golestanian , Mehran Kardar

We study the Casimir-Lifshitz interaction out of thermal equilibrium, with particular attention devoted to the surface-surface and surface-atom configurations. A systematic investigation of the contributions to the force coming from the…

Statistical Mechanics · Physics 2008-02-06 Mauro Antezza , Lev P. Pitaevskii , Sandro Stringari , Vitaly B. Svetovoy

By using a method, previously established to calculate electromagnetic fields, we compute the force of light upon a metallic particle. This procedure is based on both Maxwell's Stress Tensor and the Couple Dipole Method. With these tools,…

Optics · Physics 2009-11-10 P. C. Chaumet , M. Nieto-Vesperinas

We consider the interaction between an electrically polarizable atom in its fundamental state and a wedge constituted by two semi-infinite perfectly conducting plates. Using a formalism based on a master equation, we compute the dispersion…

Quantum Physics · Physics 2009-11-13 T. N. C. Mendes , F. S. S. Rosa , A. Tenorio , C. Farina