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We study the dispersion relations in slow-light waveguide structures consisting of coupled microdisk resonators. A group theoretical analysis of the symmetry properties of the propagating modes reveals an interesting phenomenon: The…

Optics · Physics 2015-05-13 Jacob Scheuer , Mark Shtaif

We propose wave and ray approaches for modelling mid- and high- frequency structural vibrations through smoothed joints on thin shell cylindrical ridges. The models both emerge from a simplified classical shell theory setting. The ray model…

Classical Physics · Physics 2016-08-17 Niels Sondergaard , David Chappell

We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a scattering body illuminated by an incident plane wave. This study is motivated by recent work on the inverse problem of reconstructing…

Numerical Analysis · Mathematics 2025-03-14 Erik García Neefjes , Stuart C. Hawkins

The Surface Green Function Matching analysis (SGFM) is used to study the normal modes of the interface oscillations between two non-mixed fluids by considering the difference in their densities and viscosities. The limiting case of…

Fluid Dynamics · Physics 2007-05-23 Arezky H. Rodriguez , J. Marin-Antuna , H. Rodriguez-Coppola , C. Dopazo

The propagation of surface water waves over rough topographical bottoms is investigated by the multiple scattering theory. It is shown that the waves can be localized spatially through the process of multiple scattering and wave…

Fluid Dynamics · Physics 2009-11-10 Liang-shan Chen , Zhen Ye

We calculate the dispersion relations for electromagnetic waves propagating at the interface between two dissimilar Drude metals in an external magnetic field B parallel to the interface. The propagating modes are bound to the inteface and…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Mehul Dixit , David Stroud

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

Mathematical Physics · Physics 2021-10-14 A. Delitsyn , D. S. Grebenkov

In the present work, we study coherent structures in a one-dimensional discrete nonlinear Schr\"odinger lattice in which the coupling between waveguides is periodically modulated. Numerical experiments with single-site initial conditions…

Pattern Formation and Solitons · Physics 2023-08-23 Ross Parker , Jesús Cuevas-Maraver , P. G. Kevrekidis , Alejandro Aceves

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

Classical Physics · Physics 2023-09-18 Basant Lal Sharma

We investigate the spectral properties of a class of hard-wall bounded systems, described by potentials exhibiting domain-wise different local symmetries. Tuning the distance of the domains with locally symmetric potential from the hard…

Other Condensed Matter · Physics 2019-01-23 I. Kiorpelidis , F. K. Diakonos , G. Theocharis , V. Pagneux , O. Richoux , P. Schmelcher , P. A. Kalozoumis

Scattering from a compound barrier, one composed of a number of distinct non-overlapping sub-barriers, has a number of interesting and subtle mathematical features. If one is scattering classical particles, where the wave aspects of the…

Mathematical Physics · Physics 2012-02-23 Petarpa Boonserm , Matt Visser

We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave in a two-layer fluid system. We show that interfacial…

Pattern Formation and Solitons · Physics 2019-07-29 Shixiao W. Jiang , Gregor Kovačič , Douglas Zhou

We consider two different stationary random processes whose probability distributions are very close and indistinguishable by standard tests for large but limited statistics. Yet we demonstrate that these processes can be reliably…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gursoy B. Akguc , Jorge Flores , Sergey Yu. Kun

The theory of acoustic wave scattering by many small bodies is developed for bodies with impedance boundary condition. It is shown that if one embeds many small particles in a bounded domain, filled with a known material, then one can…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

Scattering of waves due to a vertical array of equally-spaced cracks on a square lattice is studied. The convenience of Floquet periodicity reduces the study to that of scattering of specific wave-mode from single crack in a waveguide. The…

Classical Physics · Physics 2023-12-21 Gaurav Maurya , Basant Lal Sharma

The statistical scattering properties of wave transport in disordered waveguides are derived perturbatively within the transition matrix formalism. The limiting macroscopic statistic of the wave transport, emerges as a consequence of a…

Disordered Systems and Neural Networks · Physics 2015-11-26 M. Yépez , J. J. Sáenz

Space-time materials are obtained by modulating a physical medium with a traveling-wave perturbation of one or several of its constitutive parameters, such as the density or the bulk modulus in the case of acoustic materials. When this…

Materials Science · Physics 2026-02-10 J. Galiana , J. Redondo , R. Picó , V. J. Sánchez-Morcillo

In granular media, the characterization of the behavior of solitary waves around interfaces is of importance in order to look for more applications of these systems. We study the behavior of solitary waves at both interfaces of a symmetric…

Soft Condensed Matter · Physics 2009-11-11 Lautaro Vergara

In some underwater acoustic waveguides with specially selected sound speed profiles striations or fringes of the interference pattern are determined by a single parameter \beta\ called the waveguide (or Chuprov) invariant. In the present…

Atmospheric and Oceanic Physics · Physics 2013-08-21 A. L. Virovlyansky

Propagation of a wave through an array of slits is theoretically investigated. The asymptotic expansion of the matrix elements of the propagation operator is derived and compared with numerical calculations. And then the eigenmodes and…

Optics · Physics 2015-06-23 Makoto Morinaga
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