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In shallow-water waveguides a propagating field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper we consider the propagation of a wave in a randomly perturbed…

Probability · Mathematics 2009-12-01 Christophe Gomez

We revisit the mechanisms underlying the process of spectral broadening of incoherent optical waves propagating in nonlinear media on the basis of nonequilibrium thermodynamic considerations. A simple analysis reveals that a prerequisite…

Pattern Formation and Solitons · Physics 2017-09-13 Gang Xu , Josselin Garnier , Benno Rumpf , Adrien Fusaro , Pierre Suret , Stephaine Randoux , Guy Millot , Antonio Picozzi

The solar atmosphere is known to be replete with magneto-hydrodynamic wave modes, and there has been significant investment in understanding how these waves propagate through the Sun's atmopshere and deposit their energy into the plasma.…

Solar and Stellar Astrophysics · Physics 2023-02-14 R. J. Morton , R. Sharma , E. Tajfirouze , H. Miriyala

It has been reported that traveling waves propagate periodically and stably in sub-excitable systems driven by noise [Phys. Rev. Lett. \textbf{88}, 138301 (2002)]. As a further investigation, here we observe different types of traveling…

Chaotic Dynamics · Physics 2008-01-17 Fen-Ni Si , Quan-Xing Liu , Jin-Zhong Zhang , Lu-Qun Zhou

Diffuse scattering of electromagnetic waves from natural and artificial surfaces has been extensively studied in various disciplines, including radio wave propagation, and several diffuse scattering models based on different approaches have…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Enrico M. Vitucci , Nicolò Cenni , Franco Fuschini , Vittorio Degli-Esposti

In the early Universe, large-scale flows were omnipresent, and the flow collisions produced sheets and filaments. This phenomenon occurs for both particle and wave dark matter. But for the latter, these sheets and filaments are the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-20 Ui-Han Zhang , Tak-Pong Woo , Tzihong Chiueh

In the linear approximation, we study a one-dimensional problem of the reflectionless wave propagation on a surface of a shallow duct with the spatially varying water depth, duct width, and current. We show that both global and bounded…

Fluid Dynamics · Physics 2021-12-08 Semyon Churilov , Yury Stepanyants

Aims. We seek indications or evidence of transmission/conversion of magnetoacoustic waves at the magnetic canopy, as a result of its impact on the properties of the wave field of the photosphere and chromosphere. Methods. We use…

Solar and Stellar Astrophysics · Physics 2015-11-30 Ioannis Kontogiannis , Georgia Tsiropoula , Kostas Tziotziou

A theory of the propagation of acoustic waves in a porous medium filled with superfluid solution is developed. The elastic coefficients in the system of equations are expressed in terms of physically measurable quantities. The equations…

Soft Condensed Matter · Physics 2009-11-11 Sh. E. Kekutia , N. D. Chkhaidze

The numerical analysis of elastic wave propagation in unbounded media may be difficult due to spurious waves reflected at the model artificial boundaries. This point is critical for the analysis of wave propagation in heterogeneous or…

Computational Physics · Physics 2010-09-07 Jean-François Semblat , Luca Lenti , Ali Gandomzadeh

Wave propagation in ray-chaotic scenarios, characterized by exponential sensitivity to ray-launching conditions, is a topic of significant interest, with deep phenomenological implications and important applications, ranging from optical…

Optics · Physics 2015-06-03 Giuseppe Castaldi , Vincenzo Galdi , Innocenzo M. Pinto

Oceanic pressure measurements, even in very deep water, and atmospheric pressure or seismic records, from anywhere on Earth, contain noise with dominant periods between 3 and 10 seconds, that is believed to be excited by ocean surface…

Atmospheric and Oceanic Physics · Physics 2015-06-11 Fabrice Ardhuin , Thomas H. C. Herbers

Internal waves, or waves that propagate within a stratified fluid, may break and cause mixing. While each individual mixing event may be small, collectively, internal wave breaking drive processes in the ocean that are critical to…

Wave propagation in magnetically structured atmospheres is a thoroughly studied, yet practically inexhaustible well of investigations in the field of solar magneto-seismology. A simple but powerful example is the examination of wave…

Solar and Stellar Astrophysics · Physics 2020-04-14 Noémi Kinga Zsámberger , Róbert Erdélyi

The propagation of sound in a shallow water environment is characterized by boundary reflections from the sea surface and sea floor. These reflections result in multiple (indirect) sound propagation paths, which can degrade the performance…

Sound · Computer Science 2017-10-31 Eric L. Ferguson , Stefan B. Williams , Craig T. Jin

Wave chaos is demonstrated by studying a wave propagation in a periodically corrugated wave-guide. In the limit of a short wave approximation (SWA) the underlying description is related to the chaotic ray dynamics. In this case the control…

Chaotic Dynamics · Physics 2015-05-13 A. Iomin , Yu. Bliokh

The problem of scattering of linear internal waves from small compact sea bottom inhomogeneities is considered from the point of view of mode-to-mode scattering. A simple formula for modal conversion coefficients, quantifying the amount of…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. D. Zakharenko

We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The…

Analysis of PDEs · Mathematics 2011-11-07 Ricardo Alonso , Liliana Borcea , Josselin Garnier

When waves impinge on a disordered material they are back-scattered and form a highly complex interference pattern. Suppressing any such distortions in the free propagation of a wave is a challenging task with many applications in a number…

Over the years, the directional distribution functions of wind-generated wave field have been assumed to be unimodal. While details of various functional forms differ, these directional models suggest that waves of all spectral components…

Atmospheric and Oceanic Physics · Physics 2019-06-20 Paul A. Hwang , David W. Wang , W. Erick Rogers , Robert N. Swift , James Yungel , William B. Krabill