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This work deals with the micromechanical study of periodic thermo-diffusive elastic multi-layered materials, which are of interest for the fabrication of solid oxide fuel cells (SOFCs). The focus is on the dynamic regime, that is…

应用物理 · 物理学 2018-11-26 Andrea Bacigalupo , Maria Laura De Bellis , Giorgio Gnecco

We consider the scattering problem on locally perturbed periodic penetrable dielectric layers, which is formulated in terms of the full vector-valued time-harmonic Maxwell's equations. The right-hand side is not assumed to be periodic. At…

偏微分方程分析 · 数学 2019-08-23 Alexander Konschin

This paper presents a numerical investigation of acoustic wave propagation in an obstacle with periodically time-modulated material parameters. We focus on the numerical construction of Floquet$-$Bloch solutions, which are quasi-periodic…

数值分析 · 数学 2025-07-22 Jörg Nick , Ralf Hiptmair , Habib Ammari

Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using…

综合物理 · 物理学 2022-10-11 Hosein Nasrolahpour

Our aim in this paper is twofold. Firstly, we develop a new asymptotic theory for Floquet exponents. We consider a linear system of differential equations with a time-periodic coefficient matrix. Assuming that the coefficient matrix depends…

偏微分方程分析 · 数学 2021-10-18 Habib Ammari , Erik Orvehed Hiltunen , Thea Kosche

Surface-bound modes in metamaterials forged by drilling periodic hole arrays in perfect-conductor surfaces are investigated by means of both analytical techniques and rigorous numerical solution of Maxwell's equations. It is shown that…

材料科学 · 物理学 2009-11-11 F. J. Garcia de Abajo , J. J. Saenz

The dynamic behaviour of periodic thermodiffusive multi-layered media excited by harmonic oscillations is studied. In the framework of linear thermodiffusive elasticity, periodic laminates, whose elementary cell is composed by an arbitrary…

计算工程、金融与科学 · 计算机科学 2021-10-06 Francesca Fantoni , Lorenzo Morini , Andrea Bacigalupo , Marco Paggi

We extend the usual derivation of the wave equation from Maxwell's equations in vacuum to the case of electromagnetic fields in dispersive homogeneous isotropic linear media. Usually, dispersive properties of materials are studied in…

经典物理 · 物理学 2019-08-29 V. A. Coelho , F. S. S. Rosa , Reinaldo de Melo e Souza , C. Farina , M. V. Cougo-Pinto

Motivated by recent experimental implementations of artificial gauge fields for gases of cold atoms, we study the scattering properties of particles that are subjected to time-periodic Hamiltonians. Making use of Floquet theory, we focus on…

量子气体 · 物理学 2015-03-12 Thomas Bilitewski , Nigel R. Cooper

We revisit the Floquet-Bloch eigenstates of a one-dimensional electron gas in the presence of the periodic Kronig-Penny potential and an oscillating electric field. Considering the appropriate boundary conditions for the wave function and…

光学 · 物理学 2018-06-20 Tatsuhiko N. Ikeda

We investigate the analytic continuation of wave equations into the complex position plane. For the particular case of electromagnetic waves we provide a physical meaning for such an analytic continuation in terms of a family of closely…

经典物理 · 物理学 2016-05-04 S. A. R. Horsley , C. G. King , T. G. Philbin

Periodically driven systems, characterised by their inherent non-equilibrium dynamics, are ubiquitously found in both classical and quantum regimes. In the field of photonics, these Floquet systems have begun to provide insight into how…

We develop the Floquet-Bloch theory of noninteracting fermions on a periodic lattice in the presence of a constant electric field. As long as the field lies along a reciprocal lattice vector, time periodicity of the Bloch Hamiltonian is…

介观与纳米尺度物理 · 物理学 2025-03-27 Christophe De Beule , Steven Gassner , Spenser Talkington , E. J. Mele

We analyse wave propagation in two-dimensional bianisotropic media with the Finite Element Method (FEM). We start from the Maxwell-Tellegen's equations in bianisotropic media, and derive some system of coupled Partial Difference Equations…

光学 · 物理学 2016-12-21 Yan Liu , Boris Gralak , Sebastien Guenneau

We derive new general expressions for the fluctuating electromagnetic field outside a homogeneous material surface. The analysis is based on general results from the thermodynamics of irreversible processes, and requires no consideration of…

量子物理 · 物理学 2008-11-26 Giuseppe Bimonte , Enrico Santamato

We use the Floquet-Bloch transform to reduce variational formulations of surface scattering problems for the Helmholtz equation from periodic and locally perturbed periodic surfaces to equivalent variational problems formulated on bounded…

偏微分方程分析 · 数学 2016-09-08 Armin Lechleiter

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

偏微分方程分析 · 数学 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

We study the possible expansion of the electromagnetic field scattered by a strictly convex metallic nanoparticle with dispersive material parameters placed in a homogeneous medium in a low-frequency regime as a sum of modes oscillating at…

数学物理 · 物理学 2021-05-20 Habib Ammari , Pierre Millien , Alice L. Vanel

We study the properties of electromagnetic Bloch waves in semi-infinite periodic structures created by alternating metamaterial and dielectric layers. We derive and analyze the dispersion relations in the long-wavelength limit for both TE-…

光学 · 物理学 2009-12-16 Slobodan M. Vukovic , Ilya V. Shadrivov , Yuri S. Kivshar

We give a detailed account of equilibrium and non-equilibrium fluctuational electrodynamics of hyperbolic metamaterials. We show the unifying aspects of two different approaches; one utilizes the second kind of fluctuation dissipation…

光学 · 物理学 2015-06-22 Yu Guo , Zubin Jacob
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