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This paper addresses the inverse obstacle scattering problem of simultaneously reconstructing the obstacle geometry and boundary conditions from multi-frequency near-field backscattering data. We first establish rigorous high-frequency…

Analysis of PDEs · Mathematics 2026-04-14 Jialei Li , Xiaodong Liu

The gravitational coupling between large- and small-scale density perturbations leads to anisotropic distortions to the local small-scale matter fluctuations. Such local anisotropic distortions can be used to reconstruct the large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-09 Shi-Hui Zang , Hong-Ming Zhu , Marcel Schmittfull , Ue-Li Pen

Non-invasive surface wave methods have become a popular alternative to traditional invasive forms of site-characterization for inferring a site's subsurface shear wave velocity (Vs) structure. The advantage of surface wave methods over…

Geophysics · Physics 2021-04-06 Joseph P. Vantassel , Brady R. Cox

Precise three-dimensional (3D) reconstruction of wave free surfaces and associated velocity fields is essential for developing a comprehensive understanding of ocean physics. To address the high computational cost of dense visual…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Jiabin Liu , Zihao Zhou , Jialei Yan , Anxin Guo , Alvise Benetazzo , Hui Li

A new inversion method for determining near-surface shear currents from a measured wave spectrum is introduced. The method is straightforward to implement and starts from the existing state-of-the-art technique of assigning effective depths…

Atmospheric and Oceanic Physics · Physics 2020-02-19 Benjamin K. Smeltzer , Eirik Æsøy , Anna Ådnøy , Simen Å. Ellingsen

Distributed Acoustic Sensing (DAS) is a novel technology that allows sampling of the seismic wavefield densely over a broad frequency band. This makes it an ideal tool for surface wave studies. In this study, we evaluate the potential of…

Satellite radar altimetry is one of the most powerful techniques for measuring sea surface height variations, with applications ranging from operational oceanography to climate research. Over open oceans, altimeter return waveforms…

Atmospheric and Oceanic Physics · Physics 2017-09-25 Ribana Roscher , Bernd Uebbing , Jürgen Kusche

The Surface Water and Ocean Topography (SWOT) mission provides two-dimensional sea surface height (SSH) maps at unprecedented resolution, but its signal is a combination of balanced meso- and submesoscale turbulence, unbalanced internal…

Atmospheric and Oceanic Physics · Physics 2025-12-04 Jack William Skinner , Jörn Callies , Albion Lawrence , Xihan Zhang

We attempt to gain some insight into the modeling of the generation of internal waves produced by submarines traveling in the littoral regions of the ocean with the use of high fidelity numerical simulations. These numerical simulations are…

Fluid Dynamics · Physics 2014-10-08 James W. Rottman , Kyle A. Brucker , Douglas Dommermuth , Dave Broutman

The dynamics of internal waves in stratified media, such as the ocean or atmosphere, is highly dependent on the topography of their floor. A closed-form analytical solution can be derived only in cases when the water distribution density…

Fluid Dynamics · Physics 2012-07-10 Vitaly V. Bulatov , Yuriy V. Vladimirov

This paper is concerned with the reconstruction of the shape of an acoustic obstacle. Based on the use of the tapered waves with very narrow widths illuminating the obstacle, the boundary of the obstacle is reconstructed by a direct imaging…

Numerical Analysis · Mathematics 2024-10-10 Deyue Zhang , Mengjiao Bai , Yan Chang , Yukun Guo

We propose a method to reconstruct and analyze a complex network from data generated by a spatio-temporal dynamical system, relying on the nonlinear mutual information of time series analysis and betweenness centrality of complex network…

Atmospheric and Oceanic Physics · Physics 2010-02-11 Jonathan F. Donges , Yong Zou , Norbert Marwan , Juergen Kurths

We propose a fast, stable, and direct analytic method to detect underwater channel topography from surface wave measurements, based on one-dimensional shallow water equations. The technique requires knowledge of the free surface and its…

Mathematical Physics · Physics 2025-10-07 Lamsahel Noureddine , Carole Rosier

Satellite altimetry is a unique way for direct observations of sea surface dynamics. This is however limited to the surface-constrained geostrophic component of sea surface velocities. Ageostrophic dynamics are however expected to be…

Atmospheric and Oceanic Physics · Physics 2023-01-09 Ronan Fablet , Bertrand Chapron , Julien Le Sommer , Florian Sévellec

Ocean motions at frequencies of the internal wave band are generally associated with freely propagating waves that are supported by stable vertical stratification in density. Previous analyses of yearlong current observations from the Bay…

Atmospheric and Oceanic Physics · Physics 2022-03-02 Hans van Haren , Leo Maas

This paper considers two-dimensional steady continuous stratified periodic water waves. Firstly, we prove that each streamline must be symmetric about the crest line when it is strictly monotonous between troughs and crests by exploiting…

Analysis of PDEs · Mathematics 2021-09-01 Fei Xu , Yong Zhang , Fengquan Li

We propose and test the Direct Waveform Inversion (DWI) scheme to simultaneously invert for layered velocity and density profiles, using reflection seismic waveforms recorded on the surface. The recorded data include primary reflections and…

Geophysics · Physics 2021-08-10 Zhonghan Liu , Yingcai Zheng , Hua-Wei Zhou

We consider inverse obstacle and transmission scattering problems where the source of the incident waves is located on a smooth closed surface that is a boundary of a domain located outside of the obstacle/inhomogeneity of the media. The…

Mathematical Physics · Physics 2017-10-12 Evgeny Lakshtanov , Boris Vainberg

We provide a first-principles analysis of the energy fluxes in the oceanic internal wavefield. The resulting formula is remarkably similar to the renowned phenomenological formula for the turbulent dissipation rate in the ocean which is…

Fluid Dynamics · Physics 2022-04-06 Giovanni Dematteis , Kurt L. Polzin , Yuri V. Lvov

In oceanography, modeling wave fields requires the use of statistical tools capable of handling the circular nature of the {data measurements}. An important issue in ocean wave analysis is the study of height and direction waves, being…

Methodology · Statistics 2024-02-01 Andrea Meilán-Vila , Rosa M. Crujeiras , Mario Francisco-Fernández