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Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

Dielectric nanoparticles can be engineered to scatter light predominantly in the transverse direction, a phenomenon known as the transverse Kerker effect. Although complete cancelation of forward scattering from a single object is forbidden…

In this paper we consider an abstract Cauchy problem for a Maxwell system modelling electromagnetic fields in the presence of an interface between optical media. The electric polarization is in general time-delayed and nonlinear, turning…

偏微分方程分析 · 数学 2023-11-21 Tomáš Dohnal , Mathias Ionescu-Tira , Marcus Waurick

Electromagnetic resonances play a central role in nanophotonics by enabling efficient confinement of electromagnetic energy and enhanced light-matter interaction. Traditionally, resonant phenomena have been described using platform-specific…

光学 · 物理学 2026-05-15 Ilya Karavaev , Kirill Koshelev , Andrey Bogdanov

Topologically protected waves in the linearly polarized Maxwell's equations with gyrotropic, magneto-optic media were studied a decade ago both computationally and experimentally. This paper develops a robust tight-binding model for this…

光学 · 物理学 2020-02-19 Mark J. Ablowitz , Justin T. Cole

Confining electromagnetic energy is crucial to enhance light-matter interactions, with important implications for science and technology. Here, we discuss the opportunities offered by trapping and confining light in open structures, based…

Subwavelength aperture arrays in thin metal films enable enhanced transmission of light and matter waves [for example, see T.W. Ebbesen et al., Nature (London) 391, 667 (1998) and E. Moreno et al., Phys. Rev. Lett. 95, 170406 (2005)]. The…

光学 · 物理学 2007-05-23 S. V. Kukhlevsky

We show that the powerful framework of transformation optics may be exploited for engineering the nonlocal response of artificial electromagnetic materials. Relying on the form-invariant properties of coordinate-transformed Maxwell's…

光学 · 物理学 2015-06-03 Giuseppe Castaldi , Vincenzo Galdi , Andrea Alu' , Nader Engheta

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

光学 · 物理学 2012-08-20 Ulrich Brosa

We give a geometrical theory of resonances in Maxwell's equations that generalizes Mie formulae for spheres to any dielectric or metallic particle without sharp edges. We show that the electromagnetic response of a particle is given by a…

光学 · 物理学 2020-01-03 F. Papoff , B. Hourahine

We consider a semi-infinite spatially dispersive dielectric with unequal transverse and longitudinal susceptibilities. The effect of the boundary is characterized by arbitrary reflection coefficients for polarization waves in the material…

光学 · 物理学 2017-01-09 R. J. Churchill , T. G. Philbin

This article describes the optical properties of nanostructures composed of silver particles embedded into a gold matrix. In previous studies these materials were shown to exhibit temperature dependent transitions to a highly conductive and…

The goal of this work is to study the electromagnetic scattering problem of time-domain Maxwell's equations in an unbounded structure. An exact transparent boundary condition is developed to reformulate the scattering problem into an…

偏微分方程分析 · 数学 2016-04-27 Yixian Gao , Peijun Li

We introduce transversely structured all-dielectric waveguides which exploit the vectorial nature of light to achieve extreme sub-wavelength confinement in high index dielectrics, enabling characteristic mode dimensions below…

光学 · 物理学 2019-10-01 Nazmus Sakib , Judson D. Ryckman

A self-consistent theory for the classical description of the interaction of light and matter at the nano-scale is presented, which takes into account spatial dispersion. Up to now, the Maxwell equations in nanostructured materials with…

光学 · 物理学 2020-10-07 J. V. Alvarez , Bahram Djafari-Rouhani , Dani Torrent

One-dimensional structures of non-Hermitian plasmonic metallic nanospheres are studied in this paper. For a single sphere, solving Maxwell's equations results in quasi-stationary eigenmodes with complex quantized frequencies. Coupled mode…

量子物理 · 物理学 2018-12-27 Amin Tayebi , Scott Rice

Since the advent of atom laser-cooling, trapping or cooling natural molecules has been a long standing and challenging goal. Here, we demonstrate a method for laser-trapping molecules that is radically novel in its configuration, in its…

光学 · 物理学 2015-06-04 M. Alharbi , A. Husakou , B. Debord , F. Gerome , F. Benabid

We model electronic transport through a double quantum wire in an external homogeneous perpendicular magnetic field using a scattering formalism built on the Lippmann-Schwinger equation. In the scattering region a window is opened between…

介观与纳米尺度物理 · 物理学 2007-05-23 Vidar Gudmundsson , Chi-Shung Tang

We investigate the particle trapping and scattering properties in a tight-binding network which consists of several subgraphs. The particle trapping condition is proved under which particles can be trapped in a subgraph without leaking.…

量子物理 · 物理学 2010-05-20 L. Jin , Z. Song

Superfocusing confines light within subwavelength structures, breaking the diffraction limit. Structures with spatial singularities, such as metallic cones, are crucial to enable nanoscale focusing, leading to significant advancements in…

光学 · 物理学 2024-11-14 Qianru Yang , Haotian Wu , Hao Hu , F. J. García-Vidal , Guangwei Hu , Yu Luo