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Robustly manipulating waves on subwavelength scales can be achieved by, firstly, designing a structure with a subwavelength band gap and, secondly, introducing a defect so that eigenfrequencies fall within the band gap. Such frequencies are…

Analysis of PDEs · Mathematics 2021-11-15 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

Here, through a systematic methodology and the use of high performance computing, we calculate the optimum shape for a wave energy converter under the action of incident waves of (i) monochromatic unidirectional, (ii) monochromatic…

Fluid Dynamics · Physics 2018-05-23 Soheil Esmaeilzadeh , Mohammad-Reza Alam

The presence of multiple stable states and associated nonlinear phenomena, such as hysteresis, in multistable mechanical metamaterials enables frequency-independent energy harvesting and shock absorption. This study focuses on shock…

Pattern Formation and Solitons · Physics 2026-03-16 Sneha Srikanth , Andres F. Arrieta

This work investigates the consequences of imposing a volume constraint on the maximum power that can be absorbed from progressive regular incident waves by an attenuating line absorber heaving in a travelling wave mode. Under assumptions…

Fluid Dynamics · Physics 2012-12-04 Paul Stansell , David J. Pizer

The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically.…

patt-sol · Physics 2009-10-30 St. Hollinger , P. Buechel , M. Luecke

A generalized cross-validation approach to estimate the reconstruction filter bandwidth in two-dimensional Filtered Backprojection is presented. The method writes the reconstruction equation in equivalent backprojected filtering form,…

Methodology · Statistics 2019-10-02 Ranjan Maitra

Gaining insight into the interaction between flexible piezoelectric structures and ocean waves can inform the development of compact, high-efficiency wave-energy converters that harvest renewable energy from the marine environment. In this…

This work presents a new design for broadband absorption of low-frequency acoustic waves using a thin coating made of subwavelength acoustic resonators arranged periodically on a reflective surface. We first study the associated scattering…

Numerical Analysis · Mathematics 2026-03-13 Habib Ammari , Yu Gao , Lara Vrabac

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

Analysis of PDEs · Mathematics 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

Waveform optimization has recently been shown to be a key technique to boost the efficiency and range of far-field wireless power transfer (WPT). Current research has optimized transmit waveform adaptive to channel state information (CSI)…

Signal Processing · Electrical Eng. & Systems 2021-11-30 Yumeng Zhang , Bruno Clerckx

Analytical conditions are available for the optimum design of impact absorbers for the case where the host structure is well described as rigid body. Accordingly, the analysis relies on the assumption that the impacts cause immediate…

Computational Engineering, Finance, and Science · Computer Science 2021-10-13 Timo Theurich , Alexander F. Vakakis , Malte Krack

A mathematical model describing the initial stage of the capture of oscillatory systems into autoresonance under the action of slowly varying pumping is considered. Solutions with an infinitely growing amplitude are associated with the…

Mathematical Physics · Physics 2017-02-07 Oskar Sultanov

Localized wave fronts are a fundamental feature of biological systems from cell biology to ecology. Here, we study a broad class of bistable models subject to self-activation, degradation and spatially inhomogeneous activating agents. We…

Cell Behavior · Quantitative Biology 2014-05-27 Steffen Rulands , Ben Klünder , Erwin Frey

Pressure-relief valves, often the critical last line of defence in process engineering, are known to be susceptible to valve chatter. Such behaviour has been shown to arise from a flutter instability, or Hopf bifurcation, associated with…

Dynamical Systems · Mathematics 2026-03-20 Hong Tang , Istvan Erdodi , Alan R. Champneys , Csaba J. Hős

A general conformal mapping is proposed to design omnidirectional broadband wave absorbers by transformation method. When applied to electromagnetic (EM) and acoustic waves, the existing material parameters of the EM and acoustic…

Classical Physics · Physics 2012-05-25 Zheng Chang , Gengkai Hu

This work is directed towards investigating the fate of three-dimensional long perturbation waves in a plane incompressible wake. The analysis is posed as an initial-value problem in space. More specifically, input is made at an initial…

Fluid Dynamics · Physics 2015-03-13 S. Scarsoglio , D. Tordella , W. O. Criminale

Metasurface based super absorbers exhibit near unity absorbance. While the absorption peak can be tuned by the geometry/size of the sub-wavelength resonator, broadband absorption can be obtained by placing multiple resonators of various…

Materials Science · Physics 2019-04-03 Arvind Nagarajan , Kumar Vivek , Manav Shah , Venu Gopal Achanta , Giampiero Gerini

Using time as an additional design parameter in electromagnetism, photonics, and wave physics is attracting considerable research interest, motivated by the possibility to explore physical phenomena and engineering opportunities beyond the…

Optics · Physics 2024-11-12 Matteo Ciabattoni , Zeki Hayran , Francesco Monticone

Motivated by experimental observations of exotic standing wave patterns in the two-frequency Faraday experiment, we investigate the role of normal form symmetries in the pattern selection problem. With forcing frequency components in ratio…

patt-sol · Physics 2009-10-31 Mary Silber , Anne C. Skeldon

The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow binary inspiral with outgoing waves. Important…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Zeferino Andrade , Christopher Beetle , Alexey Blinov , Benjamin Bromley , Lior M. Burko , Maria Cranor , Robert Owen , Richard H. Price
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