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Inverse obstacle scattering is the recovery of an obstacle boundary from the scattering data produced by incident waves. This shape recovery can be done by iteratively solving a PDE-constrained optimization problem for the obstacle…

Numerical Analysis · Mathematics 2023-08-02 Travis Askham , Carlos Borges , Jeremy Hoskins , Manas Rachh

We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (exploration) seismology in this context. However, the analysis in…

Analysis of PDEs · Mathematics 2022-01-10 Sombuddha Bhattacharyya , Maarten V. de Hoop , Vitaly Katsnelson , Gunther Uhlmann

We are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-field measurement. Using the intrinsic geometric properties…

Analysis of PDEs · Mathematics 2017-06-15 Jingzhi Li , Xiaofei Li , Hongyu Liu

In rotating stars and planets, excitation of inertial waves in convective envelopes provides an important channel for tidal dissipation, but the dissipation rate due to inertial waves depends erratically on the tidal frequency. Tidal…

Fluid Dynamics · Physics 2021-09-29 Yufeng Lin , Gordon I. Ogilvie

Modern-day seismic imaging and monitoring technology increasingly rely on dense full-azimuth sampling. Unfortunately, the costs of acquiring densely sampled data rapidly become prohibitive and we need to look for ways to sparsely collect…

Optimization and Control · Mathematics 2020-04-22 Yijun Zhang , Shashin Sharan , Oscar Lopez , Felix J. Herrmann

Real-time estimation of ocean wave heights using high-frequency (HF) radar has attracted great attention. This method offers the benefit of easy maintenance by virtue of its ground-based installation. However, it is adversely affected by…

Numerical Analysis · Mathematics 2025-05-20 Kaede Watanabe , Toshiaki Yachimura , Tsubasa Terada , Hiroshi Kameda , Ryuhei Takahashi , Hiroshi Suito

To achieve fully autonomous navigation, vehicles need to compute an accurate model of their direct surrounding. In this paper, a 3D surface reconstruction algorithm from heterogeneous density 3D data is presented. The proposed method is…

Computer Vision and Pattern Recognition · Computer Science 2019-06-26 Luis Roldão , Raoul de Charette , Anne Verroust-Blondet

Refraction is the predominant mechanism causing spatially inhomogeneous surface gravity wave fields. However, the complex interplay between depth- and current-induced wave refraction remains poorly understood. Assuming weak currents and…

Atmospheric and Oceanic Physics · Physics 2025-09-17 Trygve Halsne , Yan Li

The paper is devoted to the presentation of the non-spectral methods of analysis of the natural measurements of the internal gravity waves in the ocean with the purpose to determine characteristics of the wave-trains composing the measured…

Atmospheric and Oceanic Physics · Physics 2007-07-13 Vitaly A. Bulatov

We develop a helioseismic inversion algorithm that can be used to recover sub-surface vertical profiles of 2-dimensional supergranular flows from surface measurements of synthetic wave travel times. We carry out seismic wave-propagation…

Solar and Stellar Astrophysics · Physics 2017-11-29 Jishnu Bhattacharya , Shravan M. Hanasoge , Aaron C. Birch , Laurent Gizon

Spatiotemporal projections in marine science are essential for understanding ocean systems and their impact on Earth's climate. However, existing AI-based and statistics-based inversion methods face challenges in leveraging ocean data,…

Applications · Statistics 2024-08-06 Zhixi Xiong , Yukang Jiang , Wenfang Lu , Xueqin Wang , Ting Tian

We present calculations that reconstruct electronic current densities in two stacked layers at known depths, using magnetic field data. Solving this inverse problem requires knowledge of the magnetic field in two planes -- one above both…

An instantaneous time mirror (ITM) is an interesting approach to manipulate wave propagation from the time boundaries. In the time domain, the reversed wave is previously proven to be the temporal derivative of the original pattern. Here,…

Classical Physics · Physics 2020-08-19 Danming Peng , Yiyang Fan , Ruochen Liu , Xiasheng Guo , Sihui Wang

21-cm intensity surveys aim to map neutral hydrogen atoms in the universe through hyper-fine emission. Unfortunately, long-wavelength (low-wavenumber) radial modes are highly contaminated by smooth astrophysical foregrounds that are six…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-21 Naim Goksel Karacayli , Nikhil Padmanabhan

Vertically stable in density, stratified-water conditions 'SW' exist in the deep Mediterranean Sea that are characterized by temperature differences of 0.0002-0.01degrC over 125 m above a flat seafloor. These result in a mean buoyancy…

Atmospheric and Oceanic Physics · Physics 2026-01-09 Hans van Haren

We develop three inverse elastic scattering schemes for locating multiple small, extended and multiscale rigid bodies, respectively. There are some salient and promising features of the proposed methods. The cores of those schemes are…

Analysis of PDEs · Mathematics 2013-10-15 Guanghui Hu , Jingzhi Li , Hongyu Liu , Hongpeng Sun

The directional distribution of ocean surface roughness is examined using the Ku, C and L band microwave radar backscattering. The parameters characterizing the upwind-downwind and upwind-crosswind variations show nonmonotonic dependence on…

Atmospheric and Oceanic Physics · Physics 2019-06-27 Paul A. Hwang

Integral equations frequently arise in surface science, and in some cases, they must be treated as inverse problems. In our previous work on optical tweezers, atomic force microscopy, and surface force measurement apparatus, we performed…

Soft Condensed Matter · Physics 2026-01-13 Keito Hashidate , Rieko Iwayasu , Takumi Otake , Ken-ichi Amano

Sea Surface Temperature (SST) reconstructions from satellite images affected by cloud gaps have been extensively documented in the past three decades. Here we describe several Machine Learning models to fill the cloud-occluded areas…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Andrea Asperti , Ali Aydogdu , Angelo Greco , Fabio Merizzi , Pietro Miraglio , Beniamino Tartufoli , Alessandro Testa , Nadia Pinardi , Paolo Oddo

Remote sensing of oceanographic data often yields incomplete coverage of the measurement domain. This can limit interpretability of the data and identification of coherent features informative of ocean dynamics. Several methods exist to…

Atmospheric and Oceanic Physics · Physics 2019-03-27 Siavash Ameli , Shawn C. Shadden