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This paper presents a spatially and temporally adaptive boundary condition to specify the volumetric flux for lattice Boltzmann methods. The approach differs from standard velocity boundary conditions because it allows the velocity to vary…

Computational Physics · Physics 2018-06-28 James E. McClure , Zhe Li , Adrian P. Sheppard , Cass T. Miller

Photonic media modulated periodically in time, termed photonic time crystals (PTCs), have attracted considerable attention for their ability to open momentum bandgaps hosting amplifying modes. These momentum gaps, however, generally appear…

We analyze the dynamics of Bose polarons in the vicinity of a Feshbach resonance between the impurity and host atoms. We compute the radio-frequency absorption spectra for the case when the initial state of the impurity is non-interacting…

Quantum Gases · Physics 2016-09-14 Yulia E. Shchadilova , Richard Schmidt , Fabian Grusdt , Eugene Demler

This work studies the inverse boundary problem for the two photon absorption radiative transport equation. We show that the absorption coefficients and scattering coefficients can be uniquely determined from the \emph{albedo} operator. If…

Analysis of PDEs · Mathematics 2022-02-21 Plamen Stefanov , Yimin Zhong

We consider a one-dimensional photonic crystal composed of alternating layers of isotropic and anisotropic dielectric materials. Such a system has different band structures for different polarizations of light. We demonstrate that if an…

Optics · Physics 2018-01-25 Ivan V. Timofeev , Dmitrii N. Maksimov , Almas F. Sadreev

This paper studies how solute segregation and its relationship to grain boundary energy in binary alloys is captured in the phase field crystal (PFC) formalism, a continuum method that incorporates atomic scale elasto-plastic effects on…

Materials Science · Physics 2013-04-10 Jonathan Stolle , Nikolas Provatas

We study light absorption by a dipolar absorber in a given environment, which can be a nanoantenna or any complex inhomogeneous medium. From first-principle calculations, we derive an upper bound for the absorption, which decouples the…

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and…

Optics · Physics 2018-03-19 Christian Wolff , Kurt Busch , N. Asger Mortensen

The recently suggested concept of a polaritonic Fourier crystal (PFC) is based on a harmonically-corrugated mirror substrate for a thin pristine polaritonic crystal layer. The propagating polaritons in PFC experience a harmonic and…

We study graphene on a photonic crystal operating in the terahertz (THz) spectral range. We show that the absorption of graphene becomes a modulated function of frequency and can be enhanced by more than three times at specific frequency…

Mesoscale and Nanoscale Physics · Physics 2013-03-25 Nuno M. R. Peres , Yuliy V. Bludov

The eigenvalue absorption for a many-particle Hamiltonian depending on a parameter is analyzed in the framework of non--relativistic quantum mechanics. The long--range part of pair potentials is assumed to be pure Coulomb and no restriction…

Mathematical Physics · Physics 2008-07-21 D. K. Gridnev

Electromagnetic absorbers have drawn increasing attention in many areas. A series of plasmonic and metamaterial structures can work as efficient narrow band absorbers due to the excitation of plasmonic or photonic resonances, providing a…

Two different versions of an optical theorem for a scattering body embedded inside a lossy background medium are derived in this paper. The corresponding fundamental upper bounds on absorption are then obtained in closed form by elementary…

Optics · Physics 2020-01-08 Yevhen Ivanenko , Mats Gustafsson , Sven Nordebo

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

Analysis of PDEs · Mathematics 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili

In this paper, we propose an unfitted Nitsche's method to compute the band structures of phononic crystal with impurities of general geometry. The proposed method does not require the background mesh to fit the interfaces of impurities, and…

Numerical Analysis · Mathematics 2021-04-07 Hailong Guo , Xu Yang , Yi Zhu

This paper is devoted to the anomalous diffusion limit of kinetic equations with a fractional Fokker-Planck collision operator in a spatially bounded domain. We consider two boundary conditions at the kinetic scale: absorption and specular…

Analysis of PDEs · Mathematics 2017-11-10 Ludovic Cesbron

Resonant optical systems have widespread applications in science and technology. However, their quality ($Q$) factors can be significantly deteriorated, if some of their parts exhibit optical absorption. Here, we show that by coupling a…

Optics · Physics 2023-08-09 Radoslaw Kolkowski , Andriy Shevchenko

We derive boundary conditions at the interfaces of magnetoelastic heterostructures under ferromagnetic resonance for arbitrary magnetization directions and interface shapes. We apply our formalism to magnet$\vert$nonmagnet bilayers and…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Takuma Sato , Weichao Yu , Simon Streib , Gerrit E. W. Bauer

The most general admissible boundary conditions are derived for an idealised Aharonov-Bohm flux intersecting the plane at the origin on the background of a homogeneous magnetic field. A standard technique based on self-adjoint extensions…

Quantum Physics · Physics 2007-05-23 Pavel Exner , Pavel Stovicek , Petr Vytras

We present an implementation of absorbing boundary conditions for the Einstein equations based on the recent work of Buchman and Sarbach. In this paper, we assume that spacetime may be linearized about Minkowski space close to the outer…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Oliver Rinne , Luisa T. Buchman , Mark A. Scheel , Harald P. Pfeiffer
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