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In this work we present a method for generating random matrices describing electromagnetic scattering from disordered media containing dielectric particles with prescribed single particle scattering characteristics. Resulting scattering…

光学 · 物理学 2022-12-15 Niall Byrnes , Matthew R. Foreman

Scattering is a ubiquitous phenomenon which is observed in a variety of physical systems which span a wide range of length scales. The scattering matrix is the key quantity which provides a complete description of the scattering process.…

统计力学 · 物理学 2014-01-21 André Nock , Santosh Kumar , Hans-Jürgen Sommers , Thomas Guhr

The classical Mie theory - electromagnetic radiation scattering by the homogeneous spherical particles - is considered in the epsilon near zero limits separately for the materials of the particles and the surrounding medium. The maxima of a…

光学 · 物理学 2013-05-29 M. Tagviashvili

We present a new representation of harmonic sounds that linearizes the dynamics of pitch and spectral envelope, while remaining stable to deformations in the time-frequency plane. It is an instance of the scattering transform, a generic…

声音 · 计算机科学 2016-01-05 Vincent Lostanlen , Stéphane Mallat

We study quantum transport and scattering of massless Dirac fermions by spatially localized static magnetic fields. The employed model describes in a unified manner the effects of orbital magnetic fields, Zeeman and exchange fields in…

介观与纳米尺度物理 · 物理学 2015-05-19 A. Zazunov , A. Kundu , A. Hütten , R. Egger

We investigate the scattering of scalar harmonic source fields by a periodic pillar, that is, a spatial structure that is periodic in one dimension and of finite extent in the other two. Uniqueness of scattering solutions can be abstracted…

数学物理 · 物理学 2011-11-21 Hairui Tu

Inspired by the natural piezoelectric effect, we introduce hybrid-wave electromechanical meta-atoms and meta-molecules that consist of coupled electrical and mechanical oscillators with similar resonance frequencies. We propose an…

应用物理 · 物理学 2018-02-07 Leonid Goltcman , Yakir Hadad

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

光学 · 物理学 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

We consider the resonance and scattering properties of a composite medium containing scatterers whose properties are modulated in time. When excited with an incident wave of a single frequency, the scattered field consists of a family of…

介观与纳米尺度物理 · 物理学 2024-08-06 Erik Orvehed Hiltunen , Bryn Davies

Aspects of of plane wave electromagnetic scattering by a radially inhomogeneous sphere is discussed. The vector problem is reduced to two scalar radial `Schr\"odinger-like' equations, and a connection with time-independent potential…

经典物理 · 物理学 2013-07-08 John A. Adam , Umaporn Nuntaplook

Assuming the validity of random matrices for describing the statistics of a closed chaotic quantum system, we study analytically some statistical properties of the S-matrix characterizing scattering in its open counterpart. In the first…

介观与纳米尺度物理 · 物理学 2016-08-31 Yan. V. Fyodorov , H. -J. Sommers

A discrete spherical harmonics method is developed for the radiative transfer problem in inhomogeneous polarized planar atmosphere illuminated at the top by a collimated sunlight while the bottom reflects the radiation. The method expands…

天体物理仪器与方法 · 物理学 2018-02-07 Romuald Tapimo , Hervé Thierry Tagne Kamdem , David Yemele

We derive the off-shell scattering matrix for a spherical scatterer. The result obtained generalizes the off-on-shell matrix commonly used in the theory of scalar waves propagation in random media.

凝聚态物理 · 物理学 2007-05-23 V. S. Podolsky , A. A. Lisyansky

We apply the Poynting theorem to the scattering of monochromatic electromagnetic planes waves with normal incidence to the interface of two different media. We write this energy conservation theorem to introduce a natural definition of the…

经典物理 · 物理学 2008-10-30 V. Dominguez-Rocha , C. Zagoya , M. Martinez-Mares

We construct a scattering theory for harmonic one-forms on Riemann surfaces, obtained from boundary value problems involving systems of curves and the jump problem. We obtain an explicit expression for the scattering matrix in terms of…

微分几何 · 数学 2025-06-11 Eric Schippers , Wolfgang Staubach

Multiple scattering theory is applied to the study of clusters of point-like scatterers attached to a thin elastic plate and arranged in quasi-periodic distributions. Two type of structures are specifically considered: the twisted bilayer…

经典物理 · 物理学 2024-06-12 Marc Martí-Sabaté , Sébastien Guenneau , Dani Torrent

Despite the quantum nature of the process, collective scattering by dense cold samples of two-level atoms can be interpreted classically describing the sample as a macroscopic object with a complex refractive index. We demonstrate that…

光学 · 物理学 2015-03-31 Romain Bachelard , Philippe Courteille , Robin Kaiser , Nicola Piovella

Utilizing the scales theory of electromagnetic theory, the anisotropic dielectric material is reconstructed into an isotropic medium. The analytic expressions of scattering field and the scattering breadth for an anisotropic material…

经典物理 · 物理学 2010-09-15 Y-L Li , J Li

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

无序系统与神经网络 · 物理学 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

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…

无序系统与神经网络 · 物理学 2009-11-13 Michael Gozman , Ilya Polishchuk , Alexander Burin