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In this paper, a spatially dispersive finite-difference time-domain (FDTD) method to model wire media is developed and validated. Sub-wavelength imaging properties of the finite wire medium slabs are examined. It is demonstrated that the…

Optics · Physics 2009-11-11 Yan Zhao , Pavel A. Belov , Yang Hao

We present a theoretical approach to calculate the {\it local} absorption spectrum of excitons confined in a semiconductor nanostructure. Using the density-matrix formalism, we derive a microscopic expression for the non-local…

Materials Science · Physics 2009-10-31 O. Mauritz , G. Goldoni , E. Molinari , F. Rossi

In this letter, we describe a very general procedure to obtain a causal fit of the permittivity of materials from experimental data with very few parameters. Unlike other closed forms proposed in the literature, the particularity of this…

This paper considers the distributed computation of confidence regions tethered to multidimensional parameter estimation under linear measurement models. In particular, the considered confidence regions are non-asymptotic, this meaning that…

Systems and Control · Computer Science 2014-10-01 Vincenzo Zambianchi , Michel Kieffer , Gianni Pasolini , Francesca Bassi , Davide Dardari

Unique and highly tunable optical properties of PT-symmetric systems and metamaterials enable a plenty of entirely new linear and nonlinear optical phenomena with numerous applications, e.g., for designing subdiffraction lenses,…

Optics · Physics 2019-04-15 Denis Novitsky , Alexander Shalin , Andrey Novitsky

In this paper, we propose a rigorous and accurate non-local (in the oversampled region) upscaling framework based on some recently developed multiscale methods [10]. Our proposed method consists of identifying multi-continua parameters via…

Numerical Analysis · Mathematics 2018-08-01 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Yating Wang , Maria Vasilyeva

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

Fluid Dynamics · Physics 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing the evolution of the beam intensity in the nonlocal medium is derived thereby which…

Pattern Formation and Solitons · Physics 2021-11-10 Houria Triki , Vladimir I. Kruglov

We show that technique of Dyson equation in wave multiple scattering by spatially disordered discrete medium statistical theory leads directly to a dielectric permittivity tensor, which is characterized by spatial dispersion and obeys the…

Disordered Systems and Neural Networks · Physics 2010-09-27 Yu. N. Barabanenkov , M. Yu. Barabanenkov , S. A. Nikitov

We have established previously, in a lead-in study, that the spreading of liquids in particulate porous media at low saturation levels, characteristically less than 10% of the void space, has very distinctive features in comparison to that…

Fluid Dynamics · Physics 2018-08-21 Penpark Sirimark , Alex V. Lukyanov , Tristan Pryer

A slowly-varying or thin-layer multiscale assumption empowers macroscale understanding of many physical scenarios from dispersion in pipes and rivers, including beams, shells, and the modulation of nonlinear waves, to homogenisation of…

Dynamical Systems · Mathematics 2020-01-22 A. J. Roberts

We study the estimation problem of distribution-on-distribution regression, where both predictors and responses are probability measures. Existing approaches typically rely on a global optimal transport map or tangent-space linearization,…

Machine Learning · Statistics 2025-11-17 Inga Girshfeld , Xiaohui Chen

Bell nonlocality can be formulated in terms of a resource theory with local-hidden variable models as resourceless objects. Two such theories are known, one built upon local operations assisted by shared randomness (LOSRs) and the other one…

Quantum Physics · Physics 2017-03-22 Rodrigo Gallego , Leandro Aolita

It is shown that, for a Hamiltonian with a band structure, the half width of local spectral density of states, or strength function, is closely related to the width of the nonperturbative (NPT) parts of energy eigenfunctions. In the…

Quantum Physics · Physics 2015-12-10 Yijian Zou , Yuchen Ma , Peijun Zhu , Jiaozi Wang , Wenge Wang

This work develops non-asymptotic theory for estimation of the long-run variance matrix and its inverse, the so-called precision matrix, for high-dimensional time series under general assumptions on the dependence structure including…

Statistics Theory · Mathematics 2023-01-02 Changryong Baek , Marie-Christine Düker , Vladas Pipiras

As estimators of location parameters, univariate trimmed means are well known for their robustness and efficiency. They can serve as robust alternatives to the sample mean while possessing high efficiencies at normal as well as heavy-tailed…

Statistics Theory · Mathematics 2007-06-13 Yijun Zuo

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

We develop a theoretical model to investigate wave propagation in media with random time-varying properties, where temporal fluctuations lead to complex scattering dynamics. Focusing on the ensemble-averaged field, we derive an exact…

Optics · Physics 2026-02-24 Romain Pierrat , Julia Rocha , Rémi Carminati

Reflection, propagation and energy analysis are crucially important in designing structures, especially plates. A thick plate is considered based on first order shear deformation theory. Wave Propagation Method (WPM) is employed to exactly…

This paper analyzes the outage performance in finite wireless networks. Unlike most prior works, which either assumed a specific network shape or considered a special location of the reference receiver, we propose two general frameworks for…

Information Theory · Computer Science 2016-08-19 Jing Guo , Salman Durrani , Xiangyun Zhou
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