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The inverse electromagnetic source scattering problem from multi-frequency sparse electric far field patterns is considered. The underlying source is a combination of electric dipoles and magnetic dipoles. We show that the locations and the…

Analysis of PDEs · Mathematics 2021-09-15 Jialei Li , Xiaodong Liu

The dynamics of a collection of resonant atoms embedded inside an inhomogeneous nondispersive and lossless dielectric is described with a dipole Hamiltonian that is based on a canonical quantization theory. The dielectric is described…

Quantum Physics · Physics 2007-10-31 Martijn Wubs , L. G. Suttorp , A. Lagendijk

The interplay of Anderson localization and electron-electron interactions is known to lead to enhancement of superconductivity due to multifractality of electron wave functions. We develop the theory of multifractally-enhanced…

Superconductivity · Physics 2022-11-23 E. S. Andriyakhina , I. S. Burmistrov

Electron localization property of a random chain changing under the influence of a constant electric field has been studied. We have adopted the multifractal scaling formalism to explore the possible localization behavior in the system. We…

Disordered Systems and Neural Networks · Physics 2009-10-31 Parthapratim Biswas , Prabhat K Thakur

We investigate light transport in novel three-dimensional scattering systems generated according to subrandom sequences and demonstrate subdiffusive behavior typical of wave transport in disordered systems at the critical point for…

Disordered Systems and Neural Networks · Physics 2021-06-25 Fabrizio Sgrignuoli , Luca Dal Negro

We demonstrate that directional electromagnetic scattering can be realized from a artificial Mie resonant strcuture which supports electric and magnetic dipole modes simultaneously. The directivity of the far-field radiation pattern can be…

Optics · Physics 2018-01-15 Hong-Wei Wu , Hua-Jun Chen , Hua-Feng Xu , Yu Zhou , Dong-Xiang Qi , Yue-Ke Wang

Manipulation of radiation is required for enabling a span of electromagnetic applications. Since properties of antennas and scatterers are very sensitive to a surrounding environment, macroscopic artificially created materials are good…

Motivated by previous investigations on the radiative effects of the electric dipoles embedded in structured cavities, localization of electromagnetic waves in two dimensions is studied {\it ab initio} for a system consisting of many…

Disordered Systems and Neural Networks · Physics 2009-11-07 Zhen Ye , Sheng Li , Xin Sub

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…

In this manuscript we study multiple scattering and diffusion of scalar wave in a group of monodisperse spheroidal particles with random orientations. We begin by fixing a spheroid in a prolate spheroidal coordinate system, and attain the…

Optics · Physics 2024-07-09 Mingyuan Ren , Yajing Qiao , Ning Zhou , Jianrui Gong , Yang Zhou , Yu Zhang

Substrates, and layered media in general, are ubiquitous, affect the properties of whatever is in their vicinity, and their influence is, in an arbitrary framework, challenging to quantify analytically, especially for large arrays which…

We present an analytical framework capable of describing spin-waves dynamic in magnetic hetero-structures composed of a pair of exchange-decoupled magnetic layers separated by a nonmagnetic spacer, focusing in particular on garnet-based…

Applied Physics · Physics 2026-05-12 A. Del Giacco , L. Menna , M. J. Gross , O. Wojewoda , V. Levati , M. Urbanek , S. Kurdi , E. Albisetti , D. Petti , C. A. Ross

Multiple scattering methods are widely used to reduce the computational complexity of acoustic or electromagnetic scattering problems when waves propagate through media containing many identical inclusions. Historically, this numerical…

Numerical Analysis · Mathematics 2024-08-07 Carlos Borges , Leslie Greengard , Michael O'Neil , Manas Rachh

We investigate the eigenstructure of matrix formulations used for modeling scattering processes within materials in transmission electron microscopy. Dynamical scattering is crucial for describing the interaction between an electron wave…

Materials Science · Physics 2025-12-12 Arya Bangun , Oleh Melnyk , Benjamin März

We present a method to systematically study multi-photon transmission in one dimensional systems comprised of correlated quantum emitters coupled to input and output waveguides. Within the Green's function approach of the scattering matrix…

Quantum Physics · Physics 2017-05-24 Tian Feng See , Changsuk Noh , Dimitris G. Angelakis

In a homogeneous medium, the far-field generated by a localized source can be expanded in terms of multipoles; the coefficients are determined by the moments of the localized charge distribution. We show that this structure survives to some…

Analysis of PDEs · Mathematics 2017-08-28 Peter Bella , Arianna Giunti , Felix Otto

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…

Optics · Physics 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

Korringa-Kohn-Rostoker (KKR) Green's function, multiple-scattering theory is an efficient site-centered, electronic-structure technique for addressing an assembly of $N$ scatterers. Wave-functions are expanded in a spherical-wave basis on…

Materials Science · Physics 2015-06-22 Aftab Alam , Suffian N. Khan , Andrei Smirnov , D. M. Nicholson , Duane D. Johnson

A radiomap, representing the spatial distribution of wireless signal strength within a specific region, is fundamentally determined by the local propagation channel and finds extensive applications in network planning and optimization. The…

Information Theory · Computer Science 2026-05-05 Wenli Li , Bin Wang , Guangxu Zhu , Haiyan Fan , Yi Zhang

Electromagnetic scattering on subwavelength structures keeps attracting attention owing to abroad range of possible applications, where this phenomenon is in use. Fundamental limits of scattering cross-section, being well understood in…