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Hot alkali metal vapors enclosed in sub-micron spectroscopic cells provide an ideal system for fundamental studies of the atom-wall and atom-light interactions at nanoscale. Here, we propose a novel approach for calculating the eigenmodes…

Optics · Physics 2022-02-02 Andrei Ermolaev , Tigran Vartanyan

Controlling the electromagnetic helicity and directionality of the light scattered by dielectric particles is paramount to a variety of phenomenology of interest in all-dielectric optics and photonics. In this Letter, we show that the…

Subwavelength arrays of plasmonic nanoparticles allow us to control the behaviour of light at the nanoscale. Here, we develop an eigenmode analysis, employing a coupled electromagnetic dipole formalism, which permits us to isolate the…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Álvaro Buendía , José Luis Pura , Vincenzo Giannini , José Antonio Sánchez Gil

We consider a plane periodical array of parallel cylindrical waveguides with evanescent coupling between them. A new method for calculating the isofrequency curves based on the multiple Mie scattering formalism (MMSF) is developed. This…

Optics · Physics 2013-02-06 M. I. Gozman , Yu. I. Polishchuk , T. V. Habarova , I. Ya Polishchuk

A propagation of dipolar radiation in a finite length linear chain of identical dielectric spheres is investigated using the multisphere Mie scattering formalism (MSMS). A frequency pass band is shown to be formed near every Mie resonances…

Disordered Systems and Neural Networks · Physics 2009-11-13 Michael Gozman , Ilya Polishchuk , Alexander Burin

We introduce a numerical method that enables efficient modelling of light scattering by large, disordered ensembles of non-spherical particles incorporated in stratified media, including when the particles are in close vicinity to each…

Rendering highly scattering participating media using brute force path tracing is a challenge. The diffusion approximation reduces the problem to solving a simple linear partial differential equation. Flux-limited diffusion introduces…

Graphics · Computer Science 2018-07-03 David Koerner , Jamie Portsmouth , Wenzel Jakob

We present a theoretical study of multi-mode scattering of light by optically random media, using the Mueller-Stokes formalism which permits to encode all the polarization properties of the scattering medium in a real $4 \times 4$ matrix.…

Quantum Physics · Physics 2009-11-10 A. Aiello , J. P. Woerdman

Optical micro-manipulation and trapping of micro-particles delivers a mechanical system in direct interaction with a beam of light. In this interaction, the optical properties such as polarisation, beam profile and wavelength of the…

Optics · Physics 2019-08-06 Michael Mazilu

For over a century diffraction theory has been thought to limit the resolution of focusing and imaging in the optical domain. The size of the smallest spot achievable is inversely proportional to the range of spatial wavevectors available.…

Optics · Physics 2011-01-11 Michael Mazilu , Joerg Baumgartl , Kishan Dholakia

We experimentally show an all-optical multipolar decomposition of the lowest-order Eigenmodes of a single gold nanoprism using azimuthally and radially polarized cylindrical vector beams. By scanning the particle through these tailored…

Optics · Physics 2015-03-10 Thomas Bauer , Sergej Orlov , Gerd Leuchs , Peter Banzer

We present algorithms for solving spatially nonlocal diffusion models on the unit sphere with spectral accuracy in space. Our algorithms are based on the diagonalizability of nonlocal diffusion operators in the basis of spherical harmonics,…

Numerical Analysis · Mathematics 2018-06-11 Richard Mikael Slevinsky , Hadrien Montanelli , Qiang Du

An adaptive algorithm for computing eigenmodes and propagation constants of optical fibers is proposed. The algorithm is built using a dual-weighted residual error estimator. The residuals are based on the eigensystem for leaky hybrid modes…

Numerical Analysis · Mathematics 2024-08-28 Jay Gopalakrishnan , Jacob Grosek , Gabriel Pinochet-Soto , Pieter VandenBerge

We show that for a general system of N s-wave point scatterers, there are always N eigenmodes. These eigenmodes or eigenchannels play the same role as spherical harmonics for a spherically symmetric target--they give a phase shift only. In…

Atomic Physics · Physics 2007-05-23 Sheng Li , Eric J. Heller

The objective of this paper is to investigate a new numerical method for the approximation of the self-diffusion matrix of a tagged particle process defined on a grid. While standard numerical methods make use of long-time averages of…

Numerical Analysis · Mathematics 2023-02-27 Jad Dabaghi , Virginie Ehrlacher , Christoph Strössner

We demonstrate an efficient eigen-decomposition method for analyzing the guided modes in metal nanoparticle chains. The proposed method has the advantage of showing the dispersion relation and mode quality simultaneously. It can also…

Optics · Physics 2016-07-29 Kin Hung Fung , C. T. Chan

Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the…

Optics · Physics 2009-11-10 Diana C. Skigin

We present a theoretical treatment of light scattering by an ensemble of N dipoles, taking into account recurrent multiple scattering. We study the intrinsic optical properties of collective dipolar systems without specifying a particular…

Quantum Physics · Physics 2020-04-21 Antoine Canaguier-Durand , Astrid Lambrecht , Serge Reynaud

Modification of optical phonon spectra in contacting nanoparticles as compared to the single ones is studied. Optical phonons in dielectric and semiconducting particles obey the Euclidean metric Klein-Fock-Gordon equation with Dirichlet…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 S. V. Koniakhin , O. I. Utesov , A. G. Yashenkin

Dispersion relations for dipolar modes propagating along a chain of metal nanoparticles are calculated by solving the full Maxwell equations, including radiation damping. The nanoparticles are treated as point dipoles, which means the…

Optics · Physics 2009-11-10 W. H. Weber , G. W. Ford
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