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In this paper we review the results of the author on the theory of scalar and vector wave scattering by small bodies of an arbitrary shape with the emphasis on practical applicability of the formulas obtained and on the mathematical rigor…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

We summarize the theoretical description of wave packets on molecular energy levels. We review the various quantum mechanical effects which can be studied and the models that can be verified on this system. This justifies our claim that the…

Quantum Physics · Physics 2016-09-08 S. Stenholm , K. -A. Suominen

Seafloor topography can excite strong interface waves called Scholte waves that are often dispersive and characterized by slow propagation but large amplitude. This type of wave can be used to invert for near seafloor shear wave velocity…

Geophysics · Physics 2013-06-20 Yingcai Zheng , Xinding Fang , Jing Liu , Michael C. Fehler

Diffraction of a surface wave on a rectangular wedge with impedance faces is studied using the Sommerfeld-Malyuzhinets technique. An analog of Landau's bypass rule in the theory of plasma waves is introduced for selection of a correct…

Optics · Physics 2014-03-25 Igor A. Kotelnikov , Vasily V. Gerasimov , Boris A. Knyazev

The currents in the ocean have a serious impact on ocean dynamics, since they affect the transport of mass and thus the distribution of salinity, nutrients and pollutants. In many physically important situations the current depends…

Fluid Dynamics · Physics 2024-10-22 Conor Curtin , Rossen Ivanov

A formalism is introduced which may describe both standard linearized waves and gravitational waves in Isaacson's high-frequency limit. After emphasizing main differences between the two approximation techniques we generalize the Isaacson…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jiri Podolsky , Otakar Svitek

I describe three ways that the spatial properties of a wave propagation medium can cause dispersion, and propose that they should form the basics for correctly understanding and naming phenomena described as "spatial dispersion". In…

Optics · Physics 2021-02-15 Paul Kinsler

The data of simultaneous measurements of the surface displacement produced by propagating planar waves in experimental flume and of the dynamic pressure beneath the waves are compared with the theoretical predictions based on different…

Fluid Dynamics · Physics 2022-04-06 A. V. Slunyaev , A. V. Kokorina , M. Klein

Using waves to explore our environment is a widely used paradigm, ranging from seismology to radar technology, and from bio-medical imaging to precision measurements. In all of these fields, the central aim is to gather as much information…

Disordered Systems and Neural Networks · Physics 2024-09-12 Jakob Hüpfl , Felix Russo , Lukas M. Rachbauer , Dorian Bouchet , Junjie Lu , Ulrich Kuhl , Stefan Rotter

A unified treatment for the propagation of classical waves in inhhomogeneous media is proposed. We deal with four kinds of waves, they are the acoustic wave in fluid, the elastic shear wave in two diemnsional solid, and the E- and…

Materials Science · Physics 2007-05-23 Pi-Gang Luan , Tzong-Jer Yang

We study phase contributions of wave functions that occur in the evolution of Gaussian surface gravity water wave packets with nonzero initial momenta propagating in the presence and absence of an effective external linear potential. Our…

The problem of a viscous flow past a submerged source starting from rest and moving with a constant velocity, below and parallel to a free surface is examined. Asymptotic expressions for long-time evolution of free-surface elevation are…

Fluid Dynamics · Physics 2014-03-06 Jian-Jun Shu

In a communication scheme, there exist points at the transmitter and at the receiver where the wave is reduced to a finite set of functions of time which describe amplitudes and phases. For instance, the information is summarized in…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Bernard Lacaze

Waves are observed at all layers of the solar atmosphere and the magnetic field plays a key role in their propagation. While deep down in the atmosphere the p-modes are almost entirely of acoustic nature, in the upper layers magnetic forces…

Solar and Stellar Astrophysics · Physics 2015-06-15 Elena Khomenko , Irantzu Calvo Santamaria

We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved tunnels and wells. We propose a method to construct non reflecting underwater topographies of this type at an…

Analysis of PDEs · Mathematics 2020-04-21 Lucas Chesnel , Sergei A. Nazarov , Jari Taskinen

Waves of various types carry momentum, which is associated with their propagation direction, i.e., the phase gradient. The circulation of the wave momentum density gives rise to orbital angular momentum (AM). Additionally, for waves…

Optics · Physics 2025-10-17 Konstantin Y. Bliokh

Tsunamis are often generated by a moving sea bottom. This paper deals with the case where the tsunami source is an earthquake. The linearized water-wave equations are solved analytically for various sea bottom motions. Numerical results…

Atmospheric and Oceanic Physics · Physics 2020-02-20 Denys Dutykh , Frédéric Dias

The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions,…

Analysis of PDEs · Mathematics 2007-05-23 Daniel Tataru

Examining cables using many conductor transmission line theory has shed light on the modes supported by various cable types. However, so far the theory disregards the fundamental surface wave mode whose lateral confinement increases with…

Classical Physics · Physics 2021-11-22 Tobias Schaich , Daniel Molnar , Anas Al Rawi , Mike Payne

The problem of interest in this article are waves on a layer of finite depth governed by the Euler equations in the presence of gravity, surface tension, and vertical electric fields. Perturbation theory is used to identify canonical…

Fluid Dynamics · Physics 2015-01-13 Matthew Hunt , Emilian Parau , Jean-Marc Vanden-broeck , Demetrios Papageorgiou