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Two key types of inhomogeneous spatially dispersive media are described, both based on a spatially dispersive generalisation of the single resonance model of permittivity. The boundary conditions for two such media with different properties…

Classical Physics · Physics 2013-09-04 Jonathan Gratus , Matthew McCormack

State-of-the-art detection systems are generally evaluated on their ability to exhaustively retrieve objects densely distributed in the image, across a wide variety of appearances and semantic categories. Orthogonal to this, many real-life…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Amelie Royer , Christoph H. Lampert

Frequency domain super-heterodyne laser light scattering is utilized in a low angle integral measurement configuration to determine flow and diffusion in charged sphere suspensions showing moderate to strong multiple scattering. We…

In biological microscopy, light scattering represents the main limitation to image at depth. Recently, a set of wavefront shaping techniques has been developed in order to manipulate coherent light in strongly disordered materials. The…

Optics · Physics 2021-01-07 Antoine Boniface , Jonathan Dong , Sylvain Gigan

In many signal processing applications, one wishes to acquire images that are sparse in transform domains such as spatial finite differences or wavelets using frequency domain samples. For such applications, overwhelming empirical evidence…

Computer Vision and Pattern Recognition · Computer Science 2013-10-22 Felix Krahmer , Rachel Ward

Sparse arrays can resolve significantly more scatterers or sources than sensor by utilizing the co-array - a virtual array structure consisting of pairwise differences or sums of sensor positions. Although several sparse array…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Robin Rajamäki , Visa Koivunen

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

Mathematical Physics · Physics 2016-09-07 Semion Gutman

We are concerned with the linearized, isotropic and homogeneous elastic scattering problem by (possibly many) small rigid obstacles of arbitrary Lipschitz regular shapes in 3D. Based on the Foldy-Lax approximation, valid under a sufficient…

Analysis of PDEs · Mathematics 2016-10-20 Fadhel Al-Musallam , Durga Prasad Challa , Mourad Sini

Non-invasive and single-shot holographic imaging through complex media is technically challenging due to random light scattering which significantly scrambles optical information. Recently, several methods have been presented to address…

This work introduces a new method to efficiently solve optimization problems constrained by partial differential equations (PDEs) with uncertain coefficients. The method leverages two sources of inexactness that trade accuracy for speed:…

Optimization and Control · Mathematics 2019-05-20 Matthew J. Zahr , Kevin T. Carlberg , Drew P. Kouri

We report a method to characterize the propagation of an ultrashort pulse of light through a multiple scattering medium by measuring its time-resolved transmission matrix. This method is based on the use of a spatial light modulator…

Optics · Physics 2016-10-26 Mickael Mounaix , Hugo Defienne , Sylvain Gigan

Recent investigations have established the physical relevance of spatially-localized instability mechanisms in fluid dynamics and their potential for technological innovations in flow control. In this letter, we show that the mathematical…

Fluid Dynamics · Physics 2024-11-11 Talha Mushtaq , Maziar S. Hemati

The adoption of text-to-image diffusion models raises concerns over reliability, drawing scrutiny under the lens of various metrics like calibration, fairness, or compute efficiency. We focus in this work on two issues that arise when…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Michael Kirchhof , James Thornton , Louis Béthune , Pierre Ablin , Eugene Ndiaye , Marco Cuturi

Scattering is an important phenomenon which is observed in systems ranging from the micro- to macroscale. In the context of nuclear reaction theory the Heidelberg approach was proposed and later demonstrated to be applicable to many chaotic…

The scattering of multispectral incoherent light is a common and unfavorable signal scrambling in natural scenes. However, the blurred light spot due to scattering still holds lots of information remaining to be explored. Former methods…

Image and Video Processing · Electrical Eng. & Systems 2022-07-29 Yitong Li , Zhengbo Zhu , Ze Li , Donglin Ma

Scattering, especially multiple scattering, is a well known problem in imaging, ranging from astronomy to medicine. In particular it is often desirable to be able to perform non-invasive imaging through turbid and/or opaque media. Many…

Optics · Physics 2024-04-23 Harry Penketh , Jacopo Bertolotti

Wave propagation in complex media is a universal problem spanning optics, acoustics, mechanics, and condensed matter physics. While disorder usually causes strong scattering, recent theory predicts that a special class of correlated…

Soft Condensed Matter · Physics 2026-02-10 Angélique Campaniello , Rémi Carminati , Marcel Filoche , Emmanuel Fort

This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model…

Mathematical Physics · Physics 2025-09-30 Huaian Diao , Qingle Meng , Zhiying Sun

Inpainting-based compression represents images in terms of a sparse subset of its pixel data. Storing the carefully optimised positions of known data creates a lossless compression problem on sparse and often scattered binary images. This…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Rahul Mohideen Kaja Mohideen , Pascal Peter , Joachim Weickert

Sparse representation learning has recently gained a great success in signal and image processing, thanks to recent advances in dictionary learning. To this end, the $\ell_0$-norm is often used to control the sparsity level. Nevertheless,…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Yuan Liu , Stéphane Canu , Paul Honeine , Su Ruan