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Using the Finite Difference Time Domain method, we solve Maxwell's equations numerically and compute the distribution of electromagnetic fields and forces inside material media. The media are generally specified by their dielectric…

Optics · Physics 2013-08-19 Masud Mansuripur , Armis R. Zakharian , Ewan M. Wright

We derive van der Waals-London and Casimir forces by calculating the eigenmodes of the electromagnetic field interacting with two semi-infinite bodies (two halves of space) with parallel surfaces separated by distance d. We adopt simple…

Mesoscale and Nanoscale Physics · Physics 2009-11-17 M. Apostol , G. Vaman

We analyze the Axion Electrodynamics in a two-dimensional slab of finite width $L$ containing a homogeneous and isotropic dielectric medium with constant permittivity and permeability. We start from the known decomposition of modes in the…

High Energy Physics - Theory · Physics 2024-11-25 Iver Brevik , Masud Chaichian , Amedeo M. Favitta

We present detailed numerical calculations of the mechanical torque induced by quantum fluctuations on two parallel birefringent plates with in plane optical anisotropy, separated by either vacuum or a liquid (ethanol). The torque is found…

Quantum Physics · Physics 2007-05-23 Davide Iannuzzi , Jeremy N. Munday , Yuri Barash , Federico Capasso

On the basis of macroscopic quantum electrodynamics, a theory of Casimir forces in the presence of on linearly amplifying bodies is presented which provides a consistent framework for studying the effect of, e.g., amplifying left-handed…

Quantum Physics · Physics 2010-01-04 Agnes Sambale , Dirk-Gunnar Welsch , Stefan Yoshi Buhmann , Ho Trung Dung

In this paper we derive a general expression for the acoustic Casimir pressure between two parallel slabs made of arbitrary materials and whose acoustic reflection coefficients are not equal. The formalism is based on the calculation of the…

Quantum Physics · Physics 2016-09-08 J. Barcenas , L. Reyes , R. Esquivel-Sirvent

It is shown that the quantum fluctuations of the electromagnetic field generally induce a torque at the interface of an anisotropic material with another anisotropic or isotropic material. It is proven that this torque depends on an…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Tiago A. Morgado , Mário G. Silveirinha

Recently, Zabolotskii [Phys. Rev. E 77, 036603 (2008)] presented the Lax pair for a version of the reduced Maxwell--Bloch equations. This version was derived under considering the unidirectional propagation of a two-component…

Exactly Solvable and Integrable Systems · Physics 2008-08-29 N. V. Ustinov

Spin relaxation in the ultrathin metallic films of stacked microelectronic devices is investigated on the basis of a modified Landau-Lifshitz equation of micromagnetic dynamics in which the damping torque is treated as originating from the…

Materials Science · Physics 2012-10-22 Sergey Bastrukov , Jun Yong Khoo , Boris Lukiyanchuk , Irina Molodtsova

We investigate the Casimir effect of a rough membrane within the framework of the Horava-Lifshitz theory in 2+1 dimensions. Quantum fluctuations are induced by an anisotropic scalar field subject to Dirichlet boundary conditions. We…

High Energy Physics - Theory · Physics 2024-01-26 Claudio Bórquez , Byron Droguett

The Casimir effect, the dispersion force attracting neutral objects to each other, may be understood in terms of multiple scattering of light between the interacting bodies. We explore the simple model in which the bodies are assumed to…

Quantum Physics · Physics 2010-04-29 Simen Å. Ellingsen

Propagation, transmission and reflection properties of linearly polarized plane waves and arbitrarily short electromagnetic pulses in one-dimensional dispersionless dielectric media possessing an arbitrary space-time dependence of the…

In this work, we develop a potential-based formalism for Maxwell's equations in isotropic media with weak spatial dispersion within the electric quadrupole-magnetic dipole approximation. We introduce an operator form of the constitutive…

Other Condensed Matter · Physics 2025-10-28 Yury Solyaev

We derive and interpret solutions of time-harmonic Maxwell's equations with a vertical and a horizontal electric dipole near a planar, thin conducting film, e.g. graphene sheet, lying between two unbounded isotropic and non-magnetic media.…

Classical Physics · Physics 2016-05-04 Dionisios Margetis , Mitchell Luskin

The modified Maxwell's Stekloff eigenvalue problem arises recently from the inverse electromagnetic scattering theory for inhomogeneous media. This paper contains a rigorous analysis of both the eigenvalue problem and the associated source…

Numerical Analysis · Mathematics 2020-04-10 Bo Gong , Jiguang Sun , Xinming Wu

We model a cholesteric liquid crystal as a planar uniaxial multilayer system, where the orientation of each layer differs slightly from that of the adjacent one. This allows us to analytically simplify the otherwise acutely complicated…

Soft Condensed Matter · Physics 2021-09-22 Wijnand Broer , Bing-Sui Lu , Rudolf Podgornik

The dispersion of quasiparticles in topological node-line semimetals is significantly different in different directions. In a certain direction, the quasiparticles behave like relativistic particles with constant velocity. In other…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Liang Chen , Xuan Guo

The CPT-even sector of the standard model extension amounts to extending Maxwell electrodynamics by a gauge invariant term of the form $- \frac{1}{4} (k _{F}) _{\alpha \beta \mu \nu} F ^{\alpha \beta} F ^{\mu \nu}$, where the…

High Energy Physics - Theory · Physics 2016-11-09 A. Martín-Ruiz , C. A. Escobar

In this paper, we introduce a finite element method employing the Ned\'el\'ec element space for solving the Maxwell's transmission eigenvalue problem in anisotropic media. The well-posedness of the source problems are derived using $\mathbb…

Numerical Analysis · Mathematics 2025-03-14 Jiayu Han

The principles of the electromagnetic fluctuation-induced phenomena such as Casimir forces are well understood. However, recent experimental advances require universal and efficient methods to compute these forces. While several approaches…

Quantum Physics · Physics 2021-08-17 Giuseppe Bimonte , Thorsten Emig
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