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Resonant Inelastic X-ray Scattering (RIXS) in the soft x-ray range is an element-specific energy-loss spectroscopy used to probe the electronic and magnetic excitations in strongly correlated solids. In the recent years, RIXS has been…

Image sequences filtering have recently become a very important technical problem especially with the advent of new technology in multimedia and video systems applications. Often image sequences are corrupted by some amount of noise…

Computer Vision and Pattern Recognition · Computer Science 2013-04-18 Soumaya Hichri , Faouzi Benzarti , Hamid Amiri

Resonant (elastic) soft x-ray scattering (RSXS) offers a unique element, site, and valence specific probe to study spatial modulations of charge, spin, and orbital degrees of freedom in solids on the nanoscopic length scale. It cannot only…

Materials Science · Physics 2013-04-12 J. Fink , E. Schierle , E. Weschke , J. Geck

Long duration noisy-looking waveforms such as those obtained in randomly multiply scattering and reverberant media are complex; they resist direct interpretation. Nevertheless, such waveforms are sensitive to small changes in the source of…

Geophysics · Physics 2015-05-27 Richard L Weaver , Céline Hadziioannou , Eric Larose , Michel Campillo

Within the framework of linear elasticity we assume the availability of internal full-field measurements of the continuum deformations of a non-homogeneous isotropic solid. The aim is the quantitative reconstruction of the associated…

Analysis of PDEs · Mathematics 2015-06-17 Guillaume Bal , Cédric Bellis , Sébastien Imperiale , François Monard

The propagation of stable coherent entities of an electromagnetic field in nonlinear media with parameters varying in space can be described in the framework of iterations of nonlinear integral transformations. It is shown that for a set of…

Pattern Formation and Solitons · Physics 2020-12-10 A. Yu. Okulov

Wavefront-shaping is a promising approach for imaging fluorescent targets deep inside scattering tissue despite strong aberrations. It enables focusing an incoming illumination into a single spot inside tissue, as well as correcting the…

Optics · Physics 2024-01-23 Dror Aizik , Anat Levin

The single-scatter approximation is fundamental in many tomographic imaging problems including x-ray scatter imaging and optical scatter imaging for certain media. In all cases, noisy measurements are affected by both local scatter events…

Image and Video Processing · Electrical Eng. & Systems 2021-04-21 Michael R. Walker , Joseph A. O'Sullivan

Wavefront shaping techniques allow waves to be focused on a diffraction-limited target deep inside disordered media. To identify the target position, a guidestar is required that typically emits a frequency-shifted signal. Here we present a…

Applied Physics · Physics 2025-05-13 Antton Goïcoechea , Jakob Hüpfl , Stefan Rotter , François Sarrazin , Matthieu Davy

Scattering of electromagnetic waves by many small particles of arbitrary shapes is reduced rigorously to solving linear algebraic system of equations bypassing the usual usage of integral equations. The matrix elements of this linear…

Mathematical Physics · Physics 2009-11-11 A. G. Ramm

This paper proposes a novel approach to robust radar detection of range-spread targets embedded in Gaussian noise with unknown covariance matrix. The idea is to model the useful target echo in each range cell as the sum of a coherent signal…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Angelo Coluccia , Alessio Fascista , Giuseppe Ricci

We describe a time-resolved monitoring technique for heterogeneous media. Our approach is based on the spatial variations of the cross-coherence of coda waveforms acquired at fixed positions but at different dates. To locate and…

Data Analysis, Statistics and Probability · Physics 2015-05-19 Vincent Rossetto , Ludovic Margerin , Thomas Planès , Éric Larose

Accurate measurement of light wavelength is critical for applications in spectroscopy, optical communication, and semiconductor manufacturing, ensuring precision and consistency of sensing, high-speed data transmission and device…

This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an…

Analysis of PDEs · Mathematics 2025-10-03 Yuanchun Ren , Yixian Gao

We describe a novel experimental technique for neutron imaging with scattered neutrons. These scattered neutrons are of interest for condensed matter physics, because they permit to reveal the local distribution of incoherent and coherent…

Nuclear Experiment · Physics 2007-05-23 H. Ballhausen , H. Abele , R. Gaehler , M. Trapp , A. Van Overberghe

We discuss and briefly overview recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the…

Quantum Physics · Physics 2017-12-21 D. V. Savin

This paper unveils and investigates a novel quasi-Minnaert resonance for an elastic hard inclusion embedded in a soft homogeneous medium in the sub-wavelength regime. The quasi-Minnaert resonance consists of boundary localization and…

Analysis of PDEs · Mathematics 2025-05-07 Huaian Diao , Ruixiang Tang , Hongyu Liu

We consider the elastic wave scattering problem involving rigid obstacles. This work addresses the inverse problem of reconstructing the position and shape of such obstacles using far-field measurements. A novel monotonicity-based approach…

Analysis of PDEs · Mathematics 2025-06-06 Mengjiao Bai , Huaian Diao , Weisheng Zhou

This work formally investigates the differential evolution indicators as a tool for ultrasonic tracking of elastic transformation and fracturing in randomly heterogeneous solids. Within the framework of periodic sensing, it is assumed that…

Analysis of PDEs · Mathematics 2023-03-29 Fatemeh Pourahmadian , Houssem Haddar

Two inverse scattering schemes were recently developed in \cite{LiLiuShangSun} for locating multiple electromagnetic (EM) scatterers, respectively, of small size and regular size compared to the detecting EM wavelength. Both schemes make…

Mathematical Physics · Physics 2013-05-09 Jingzhi Li , Hongyu Liu , Qi Wang
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