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We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability $\mu (\mathbf{r}) $ and permittivity $% \epsilon (\mathbf{r}) $ to study the wave propagation. The general form of the wave equation is derived…

General Physics · Physics 2013-09-17 S. Habib Mazharimousavi , Ashkan Roozbeh , M. Halilsoy

We investigate the sound propagation in an air-filled tube periodically loaded with Helmholtz resonators. By tuning the Helmholtz with the Bragg resonance, we study the efficiency of slow sound propagation in the presence of the intrinsic…

Materials Science · Physics 2015-06-18 G. Theocharis , O. Richoux , V. Romero-García , V. Tournat

This article presents a set of acoustic measurements conducted on the Statoil funded Behind Casing Logging Set-Up, designed by SINTEF Petroleum Research to resemble an oil well casing. A set of simple simulations using COMSOL Multiphysics…

Instrumentation and Detectors · Physics 2016-04-11 Andreas Sørbrøden Talberg , Tonni Franke Johansen

Undesired wave reflections, which occur at domain boundaries in flow simulations with free-surface waves, can be minimized by applying source terms in the vicinity of the boundary to damp the waves. Examples of such approaches are absorbing…

Fluid Dynamics · Physics 2017-11-13 Robinson Perić , Moustafa Abdel-Maksoud

Understanding how molecules engage in collective motions in a liquid where a network of bonds exists has both fundamental and applied relevance. On the one hand, it can elucidate the ``ordering" role of long-range correlations in an…

A method for calibrating a monopole sound source in a water tank with reflective side walls and bottom is considered. The idea of the method is based on the phenomenon of anomalous transparency of the water-air boundary for a sound source…

Atmospheric and Oceanic Physics · Physics 2026-03-17 A. L. Virovlyansky , M. S. Deryabin , A. A. Prokhorov , A. Yu. Kazarova , V. K. Bakhtin

Interfering liquid surface waves are generated by electrically driven vertical oscillations of two or more equispaced pins immersed in a liquid (water). The corresponding intensity distribution, resulting from diffraction of monochromatic…

Optics · Physics 2009-11-10 Tarun Kr. Barik , Anushree Roy , Sayan Kar

A transfer matrix method is developed for optical calculations of non-interacting graphene layers. Within the framework of this method, optical properties such as reflection, transmission and absorption for single-, double- and multi-layer…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 Tianrong Zhan , Xi Shi , Yunyun Dai , Xiaohan Liu , Jian Zi

This paper describes an investigation of the acoustic properties of a rigid plate with a periodic pattern of holes, in a compressible, ideal, inviscid fluid in the absence of mean flow. Leppington and Levine (J. Fluid Mech., 1973) obtained…

Numerical Analysis · Mathematics 2015-06-18 S. Laurens , E. Piot , A. Bendali , M'B. Fares , S. Tordeux

The propagation of the transverse electric (TE) and transverse magnetic (TM) waves in an effectively two-dimensional (2D) isotropic medium is described by Bergmann's equation of acoustics. We develop a dynamical formulation of the…

Mathematical Physics · Physics 2026-04-06 Farhang Loran , Ali Mostafazadeh

Stationary scattering of TE and TM waves propagating in an isotropic medium with planar symmetry is described by Bergmann's equation in one dimension. This is a generalization of Helmholtz equation which allows for developing transfer…

Optics · Physics 2025-10-21 Farhang Loran , Ali Mostafazadeh , Cem Yetişmişoğlu

We study the thermo-acoustic wave propagation and reflection near the liquid-gas critical point. Specifically, we perform a numerical investigation of the acoustic responses in a near-critical fluid to thermal perturbations based on the…

Fluid Dynamics · Physics 2009-06-19 P. Zhang , B. Shen

Locating where transient signals travel between a source and receiver requires a final step that is needed after using a theory of diffraction such as the integral theorem of Helmholtz and Kirchhoff. Introduced here, the final step accounts…

Classical Physics · Physics 2014-11-18 John L. Spiesberger

A dispersion relation for gravity waves in water covered by disk-like impurities embedded in a viscous matrix is derived. The macroscopic equations are obtained by ensemble-averaging the fluid equations at the disk scale in the asymptotic…

Fluid Dynamics · Physics 2017-02-20 Francesca De Santi , Piero Olla

Spatially exponential distributions of material properties are ubiquitous in many natural and engineered systems, from the vertical distribution of the atmosphere to acoustic horns and anti-reflective coatings. These media seamlessly…

Applied Physics · Physics 2024-04-09 Sichao Qu , Min Yang , Tenglong Wu , Yunfei Xu , Nicholas Fang , Shuyu Chen

Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Fikioris and Waterman for…

Mathematical Physics · Physics 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak…

Analysis of PDEs · Mathematics 2017-05-04 Juan Carlos Munoz , Michael Ruzhansky , Niyaz Tokmagambetov

This work deals with the sensitivity to the plate roughness of Lamb waves. An experimental study is performed involving an air-coupling transducer system. Signal processing allows us to extract the Lamb waves characteristics: phase velocity…

Classical Physics · Physics 2023-04-21 Damien Leduc , Bruno Morvan , Pascal Pareige , Jean-Louis Izbicki

Here I present a general formulation of water wave propagation and scattering over topographical bottoms. A simple equation is found and is compared with existing theories. As an application, the theory is extended to the case of water…

Fluid Dynamics · Physics 2009-11-07 Z. Ye

Recent advances in twistor theory are applied to geometric optics in ${\Bbb{R}}^3$. The general formulae for reflection of a wavefront in a surface are derived and in three special cases explicit descriptions are provided: when the…

Differential Geometry · Mathematics 2021-11-15 Brendan Guilfoyle , Wilhelm Klingenberg