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We investigate the propagation of transverse elastic waves in crumpled media. We set up the wave equation for transverse waves on a generic curved, strained surface via a Langrangian formalism and use this to study the scaling behaviour of…

Materials Science · Physics 2009-11-07 Ajay Gopinathan , T. A. Witten , S. C. Venkataramani

In this paper a rotating two-fluid model for the propagation of internal waves is introduced. The model can be derived from a rotating-fluid problem by including gravity effects or from a nonrotating one by adding rotational forces in the…

Analysis of PDEs · Mathematics 2019-02-27 A. Durán

We present a linear mode analysis of the relativistic MHD equations in the presence of finite electrical conductivity. Starting from the fully relativistic covariant formulation, we derive the dispersion relation in the limit of small…

High Energy Astrophysical Phenomena · Physics 2018-10-17 A. Mignone , G. Mattia , G. Bodo

The paper presents new results on localisation and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, surface waves are identified and studied at the interface…

A power system electromechanical wave propagates from the disturbance location to the rest of system, influencing various types of protections. In addition, since more power-electronics-interfaced generation and energy storage devices are…

Systems and Control · Electrical Eng. & Systems 2021-03-17 Shutang You

Metamaterials derive their unconventional properties from engineered microstructures, with periodic lattices providing a versatile framework for modeling wave propagation. Dispersion relations, obtained from Bloch-Floquet theory, govern how…

Materials Science · Physics 2026-03-24 Lucas Rouhi , Christophe Droz

Wave propagation in multilayered media with high material contrasts poses significant numerical challenges, as large variations in wavenumbers lead to strong reflections and complex transmission of the incoming wave field. To address these…

Numerical Analysis · Mathematics 2026-02-24 Camille Carvalho , Stéphanie Chaillat , Elsie Cortes , Chrysoula Tsogka

Irregular terrain has a pronounced effect on the propagation of seismic and acoustic wavefields but is not straightforwardly reconciled with structured finite-difference (FD) methods used to model such phenomena. Methods currently detailed…

Numerical Analysis · Mathematics 2023-09-08 Edward Caunt , Rhodri Nelson , Fabio Luporini , Gerard Gorman

Lenses are typically based on refractive index profiles derived from the geometric approximation of high-frequency waves, yet the critical issue of impedance mismatch is often neglected. Mismatched devices suffer from unwanted reflections…

Optics · Physics 2025-06-18 Sebastiano Cominelli

We experimentally investigate internal coastal Kelvin waves in a two-layer fluid system on a rotating table. Waves in our system propagate in the prograde direction and are exponentially localized near the boundary. Our experiments verify…

Fluid Dynamics · Physics 2021-02-09 Chenyang Ren , Xianping Fan , Yiling Xia , Tiancheng Chen , Liu Yang , Jin-Qiang Zhong , H. P. Zhang

Conventional sampling and interpolation commonly rely on discrete measurements. In this paper, we develop a theoretical framework for extrapolation of signals in higher dimensions from knowledge of the continuous waveform on bounded…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Cornelius Frankenbach , Pablo Martínez-Nuevo , Martin Møller , Walter Kellermann

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in…

Condensed Matter · Physics 2009-11-07 A. Modinos , N. Stefanou , I. E. Psarobas , V. Yannopapas

We study solitary wave propagation in 1D granular crystals with Hertz-like interaction potentials. We consider interfaces between media with different exponents in the interaction potential. For an interface with increasing interaction…

Pattern Formation and Solitons · Physics 2019-01-01 Armin Kekić , Robert A. Van Gorder

We study experimentally the propagation of internal waves in two different three-dimensional (3D) geometries, with a special emphasis on the refractive focusing due to the 3D reflection of obliquely incident internal waves on a slope. Both…

Fluid Dynamics · Physics 2021-02-10 G. Pillet , E. V. Ermanyuk , L. R. M. Maas , I. N. Sibgatullin , T. Dauxois

From a three-dimensional boundary value problem for the time harmonic classical Maxwell equations, we derive the dispersion relation for a surface wave, the edge plasmon-polariton (EP), that is localized near and propagates along the…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Dionisios Margetis

We investigate the propagation of electromagnetic waves in stratified anisotropic dielectric-magnetic materials using the integral equation method (IEM). Based on the superposition principle, we use Hertz vector formulations of radiated…

Optics · Physics 2015-05-18 Weixing Shu , Na Fu , Xiaofang Lv , Hailu Luo , Shuangchun Wen , Dianyuan Fan

We introduce a convenient formalism to evaluate the frequency-shift affecting a light signal propagating on a general curved background. Our formulation, which is based on the laws of geometric optics in a general relativistic setting,…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Daniel R. Terno , Giuseppe Vallone , Francesco Vedovato , Paolo Villoresi

The present study addresses the question of total internal reflection of a plane wave from an amplifying or attenuating medium. Inspection on the expressions for the modal gain or loss of an asymmetric planar waveguide having an amplifying…

Optics · Physics 2020-10-22 Takeyuki Kobayashi

A problem of finding the linear theory satisfaction limits in propagation of the internal gravity waves is considered. It is evident that internal gravity waves excitation, propagation in actual practice is highly nonlinear phenomenon.…

Fluid Dynamics · Physics 2009-11-18 Vitaly V. Bulatov , Yuriy V. Vladimirov

There is an increasing interest in using image-generating diffusion models for deep data augmentation and image morphing. In this context, it is useful to interpolate between latents produced by inverting a set of input images, in order to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Erik Landolsi , Fredrik Kahl