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This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a…

Spectral Theory · Mathematics 2025-08-13 Binglu Chen , Guillaume Bal

In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embedded in the middle layer. Such geometries are typical of…

Numerical Analysis · Mathematics 2015-06-22 Jun Lai , Motoki Kobayashi , Leslie Greengard

We study the homogenization of a diffusion process which takes place in a binary structure formed by an ambiental connected phase surrounding a suspension of very small spheres distributed in an $\veps$-periodic network. The asymptotic…

Analysis of PDEs · Mathematics 2007-05-23 Fadila Bentalha , Isabelle Gruais , Dan Polisevski

The general formula for probability to record a twisted photon produced by a charged particle moving in an inhomogeneous isotropic dispersive medium is derived. The explicit formulas for probability to record a twisted photon are obtained…

Optics · Physics 2019-10-30 O. V. Bogdanov , P. O. Kazinski , G. Yu. Lazarenko

We consider time-harmonic wave scattering from an inhomogeneous isotropic medium supported in a bounded domain $\Omega\subset\mathbb{R}^N$ ($N\geq 2$). {In a subregion $D\Subset\Omega$, the medium is supposed to be lossy and have a large…

Analysis of PDEs · Mathematics 2015-06-03 Hongyu Liu , Zaijiu Shang , Hongpeng Sun , Jun Zou

We study the propagation of waves in a set of absorbing subwavelength scatterers positioned on a stealth hyperuniform point pattern. We show that spatial correlations in the disorder substantially enhance absorption compared to a fully…

Optics · Physics 2019-03-27 Florian Bigourdan , Romain Pierrat , Rémi Carminati

This work investigates the generation of arbitrary electromagnetic waveforms inside a geometrical area enclosed by an active metasurface. We introduce the contraption of the Huygens' box, where a region of space is enclosed by an active…

Applied Physics · Physics 2018-10-16 Alex M. H. Wong , George V. Eleftheriades

We are concerned with the time-harmonic elastic scattering due to an inhomogeneous elastic material inclusion located inside a uniformly homogeneous isotropic medium. We establish a sharp stability estimate of logarithmic type in…

Analysis of PDEs · Mathematics 2021-11-25 Zhengjian Bai , Huaian Diao , Hongyu Liu , Qingle Meng

We observe that the reflection and transmission coefficients of a particle within a double, PT symmetric heterojunction with spatially varying mass, show interesting features, depending on the degree of non Hermiticity, although there is no…

Quantum Physics · Physics 2015-06-16 Anjana Sinha , R. Roychoudhury

We develop perturbation theory and physically motivated resummations of the perturbation theory for the problem of a tracer particle diffusing in a random media. The random media contains point scatterers of density $\rho$ uniformly…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. S. Dean , I. T. Drummond , R. R. Horgan , A. Lefevre

We show that the Einstein covariance principle provides an opportunity to generate infinitely many solutions of given covariant equation from a known one. With use of this statement we derive exact expressions for charge and current…

Optics · Physics 2007-05-23 V. M. Mekhitarian , V. E. Mkrtchian

We address the phenomenon of diffraction of non-relativistic matter waves on openings in absorbing screens. To this end, we expand the full quantum propagator, connecting two points on the opposite sides of the screen, in terms of the free…

Quantum Physics · Physics 2012-01-19 Arseni Goussev

Optical metasurfaces have developed as a breakthrough concept for advanced wave-front engineering enabled by subwavelength resonant nanostructures. However, reflection and/or absorption losses as well as low polarisation-conversion…

Scattering problems are important in describing light propagation in wide ranging media such as the atmosphere, colloidal solutions, metamaterials, glass ceramic composites, transparent polycrystalline ceramics, and surfaces. The Rayleigh…

Optics · Physics 2023-05-03 M. H. Shachar , J. E. Garay

We explore the far-field scattering properties of anisotropic 2D materials in ribbon array configuration. Our study reveals the plasmon-enhanced linear birefringence in these ultrathin metasurfaces, where linearly polarized incident light…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 Kaveh Khaliji , Arya Fallahi , Luis Martin-Moreno , Tony Low

A new type of metal-dielectric composites has been proposed that is characterised by a resonance-like behaviour of the effective permeability in the infrared and visible spectral ranges. This material can be referred to as optomagnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. V. Panina , A. N. Grigorenko , D. P. Makhnovskiy

Optical imaging deep inside scattering media remains a fundamental problem in bio-imaging. While wavefront shaping has been shown to allow focusing of coherent light at depth, achieving it non-invasively remains a challenge. Various…

Optics · Physics 2019-12-24 Antoine Boniface , Baptiste Blochet , Jonathan Dong , Sylvain Gigan

In the standard model with electroweak symmetry breaking through the Higgs mechanism, electroweak gauge-boson scattering amplitudes are large if the Higgs boson is heavy, and electroweak gauge interactions become strong. In theories with…

High Energy Physics - Phenomenology · Physics 2015-05-14 Saurabh D. Rindani

Magnetically induced topological transitions of isofrequency surfaces of bulk waves propagating through an unbounded biaxial gyrotropic medium are studied. The medium is constructed from a two-component superlattice composed of magnetized…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Vladimir R. Tuz , Volodymyr I. Fesenko

Getting to grips with the detrimental influence of disordered environments on wave propagation is an interdisciplinary endeavour spanning diverse research areas ranging from telecommunications \cite{basar_wireless_2019} and bio-medical…

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