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Photonic systems with time-varying modulations have attracted considerable attention as they allow for the design of non-reciprocal devices without the need for an external magnetic bias. Unlike time-invariant systems, such modulations…

In the context of providing a mathematical framework for the propagation of ultrasound waves in a random multiscale medium, we consider the scattering of classical waves (modeled by a divergence form scalar Helmholtz equation) by a bounded…

Analysis of PDEs · Mathematics 2023-09-15 Josselin Garnier , Laure Giovangigli , Quentin Goepfert , Pierre Millien

In this work we examine the dispersion of conservative tracers (bromide and fluorescein) in an experimentally-constructed three-dimensional dual-porosity porous medium. The medium is highly heterogeneous ($\sigma_Y^2=5.7$), and consists of…

Fluid Dynamics · Physics 2018-03-14 Daniel Vogler , Sassan Ostvar , Rebecca Paustian , Brian Wood

A fundamental manifestation of wave scattering in a disordered medium is the highly complex intensity pattern the waves acquire due to multi-path interference. Here we show that these intensity variations can be entirely suppressed by…

Dynamic metasurface antennas (DMAs) represent a novel approach to programmable and affordable electromagnetic wave manipulation for enhanced wireless communications, sensing, and imaging applications. Nevertheless, current DMA designs and…

Signal Processing · Electrical Eng. & Systems 2025-10-24 Abdul Jabbar , Aakash Bansal , William Whittow

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

We study the propagation of waves in a quasi 1D homogeneous host medium filled with various resonators. We first prove that a far field coupling between the elements explains its dispersive nature. This coupling is interpreted as a Fano…

Optics · Physics 2011-12-13 Fabrice Lemoult , Mathias Fink , Geoffroy Lerosey

The viscously dominated, low Reynolds' number dynamics of multi-phase, compacting media can lead to nonlinear, dissipationless/dispersive behavior when viewed appropriately. In these systems, nonlinear self-steepening competes with wave…

Pattern Formation and Solitons · Physics 2014-01-31 Nicholas K. Lowman , Mark A. Hoefer

We present scattering from many body systems in a new light. In place of the usual van Hove treatment, (applicable to a wide range of scattering processes using both photons and massive particles) based on plane waves, we calculate the…

Optics · Physics 2009-10-30 R. Gaehler , J. Felber , F. Mezei , R. Golub

Radio emission propagating over an Earth-pulsar line of sight provides a unique probe of the intervening ionized interstellar medium (ISM). Variations in the integrated electron column density along this line of sight, or dispersion measure…

High Energy Astrophysical Phenomena · Physics 2020-04-08 M. T. Lam , T. J. W. Lazio , T. Dolch , M. L. Jones , M. A. McLaughlin , D. R. Stinebring , M. Surnis

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

Classical Physics · Physics 2023-09-18 Basant Lal Sharma

Manipulating broadband fields in scattering media is a modern challenge across photonics and other wave domains. Recent studies have shown that complex propagation in scattering media can be harnessed to manipulate broadband light wave…

The control of wave scattering in complex non-Hermitian settings is an exciting subject -- often challenging the creativity of researchers and stimulating the imagination of the public. Successful outcomes include invisibility cloaks,…

Mesoscale and Nanoscale Physics · Physics 2025-04-28 Jared Erb , Nadav Shaibe , Robert Calvo , Daniel Lathrop , Thomas Antonsen , Tsampikos Kottos , Steven M. Anlage

We present a method based on acoustic wavenumber imaging algorithms to quantify the spectral content of strongly nonlinear energy scattering of a propagating wavefront across the discrete-continuum interface of a 2D hybrid system composed…

Statistical Mechanics · Physics 2025-09-22 Joshua R. Tempelman , Chongan Wang , Alexander F. Vakakis

The dynamic behaviour of periodic thermodiffusive multi-layered media excited by harmonic oscillations is studied. In the framework of linear thermodiffusive elasticity, periodic laminates, whose elementary cell is composed by an arbitrary…

Computational Engineering, Finance, and Science · Computer Science 2021-10-06 Francesca Fantoni , Lorenzo Morini , Andrea Bacigalupo , Marco Paggi

Changing the microstructure properties of a space-time metamaterial while a wave is propagating through it, in general requires addition or removal of energy, which can be of exponential form depending on the type of modulation. This limits…

Classical Physics · Physics 2022-08-10 Kshiteej J. Deshmukh , Graeme W. Milton

Static metasurfaces have shown to be prominent compact structures for reciprocal and frequency-invariant transformation of electromagnetic waves in space. However, incorporating temporal variation to static metasurfaces would result in…

Applied Physics · Physics 2020-11-18 Sajjad Taravati , George V. Eleftheriades

A theory for multiple scattering of elastic waves is presented in a random medium bounded by two ideal free surfaces, whose horizontal size is infinite and whose transverse size is smaller than the mean free path of the waves. This geometry…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Nicolas P. Tregoures , Bart A. van Tiggelen

Diffusion models provide a principled framework for generative modeling via stochastic differential equations and time-reversed dynamics. Extending spectral diffusion approaches to spherical data, however, raises nontrivial geometric and…

Probability · Mathematics 2026-01-29 Pierpaolo Brutti , Claudio Durastanti , Francesco Mari

Since the dawn of modern optics and electromagnetics, optical prism is one of the most fascinating optical elements for refracting light. Exploiting its frequency dispersive behaviour, a prism is able to refract different frequencies in…

Optics · Physics 2023-02-15 L. Stefanini , D. Ramaccia , A. Toscano , F. Bilotti
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