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Journal articles on the topic 'Non-Linear wave scattering'

Author: Grafiati

Published: 8 June 2024

Last updated: 31 July 2025

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1

Savotchenko, S. E. "THE LINEAR WAVE SCATTERING BY A NON-LINEAR DEFECT." Belgorod State University Scientific bulletin Mathematics Physics 50, no. 3 (2018): 283–91. http://dx.doi.org/10.18413/2075-4639-2018-50-3-283-291.

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2

PETER, MALTE A., and MICHAEL H. MEYLAN. "Water-wave scattering by a semi-infinite periodic array of arbitrary bodies." Journal of Fluid Mechanics 575 (March 2007): 473–94. http://dx.doi.org/10.1017/s0022112006004319.

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We consider the scattering by a semi-infinite array of bodies of arbitrary geometry excited by an incident wave in the linear water-wave formulation (which reduces to the simpler case of Helmholtz scattering if the depth dependence can be removed). The theory presented here is extremely general, and we present example calculations for an array of floating elastic plates (a highly non-trivial scatterer). The solution method follows closely from the solution for point scatterers in a medium governed by Helmholtz's equation. We have made several extensions to this theory, considering water-wave s

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3

Ghodake, Pravinkumar. "The complexity of harmonically scattered nonlinear waves from triangular, circular, and rectangular corners of the 2-D domain." Journal of the Acoustical Society of America 154, no. 4_supplement (2023): A262. http://dx.doi.org/10.1121/10.0023468.

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Considering recent advancements in the nonlinear pulse-echo technique, understanding reflected nonlinear waves from inaccessible edges and surfaces becomes important. A unique geometrical model solved numerically using the finite element method is proposed and studied via extensive numerical experiments to gain insight into harmonically scattered waves from different shapes of the 2-D spaced corners considering the challenges of theoretical solutions that can capture the interplay between multiple phenomena. Tang et al. (2012), Kube (2017-18), and Achenbach and Wang (2017-18) studied the harmo

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Belibassakis, Kostas, and Julien Touboul. "A Nonlinear Coupled-Mode Model for Waves Propagating in Vertically Sheared Currents in Variable Bathymetry—Collinear Waves and Currents." Fluids 4, no. 2 (2019): 61. http://dx.doi.org/10.3390/fluids4020061.

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A novel coupled-mode model is developed for the wave–current–seabed interaction problem, with application in wave scattering by non-homogeneous, sheared currents over general bottom topography. The formulation is based on a velocity representation defined by a series of local vertical modes containing the propagating and evanescent modes, able to accurately treat the continuity condition and the bottom boundary condition on sloping parts of the seabed. Using the above representation in Euler equations, a coupled system of differential equations on the horizontal plane is derived, with respect

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5

Wongthongsiri, Supawat, and Sohichi Hirose. "Scattering Analysis and Detection of Layered Plate Debonding Using Guided SH Waves with Boundary Element Method." Shock and Vibration 2022 (July 16, 2022): 1–10. http://dx.doi.org/10.1155/2022/8799555.

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This paper investigates the scattering behavior of guided shear horizontal (SH) waves in a two-dimensional, isotropic, and linear elastic layered plate with partially debonded interface by analyzing the reflection and transmission coefficients of scattered waves. The partial wave technique is established to form the displacement and stress of guided wave functions, and the boundary element method (BEM) is utilized to handle the numerical calculation with elastodynamic fundamental solutions in the frequency domain. After applying proper boundary conditions including continuity condition on the

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Baltenkov, Arkadiy S., and Igor Woiciechowski. "Interference Phenomenon in Electron-Molecule Collisions." Atoms 10, no. 4 (2022): 105. http://dx.doi.org/10.3390/atoms10040105.

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This article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic centers is modified if we abandon the assumption, standard in molecular physics, that outside of some molecular sphere surrounding the centers, the wave function of the molecular continuum is atomic-like, being a linear combination of the regular and irregular solutions of the wave equation. For this purpose, the elastic scattering of slow particles by a pair of non- overlapping short-range potentials has been studied. The continuum wave function of the particle is represented as a combina

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7

Li, Hong Liang. "Far Field Solution of Circular Inclusion and Linear Crack by SH-Wave." Key Engineering Materials 462-463 (January 2011): 455–60. http://dx.doi.org/10.4028/www.scientific.net/kem.462-463.455.

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Circular inclusion exists widely in natural media, engineering materials and structures, and defects are usually found around the inclusion. When a composite material with circular inclusion and cracks is impacted by the dynamic load, on the one hand, the scattering field produced by the circular inclusion and cracks determines the dynamic stress concentration factor around the circular inclusion, and therefore determines whether the material is damaged or not; on the other hand, the scattering field also presents many characteristic parameters of the inclusion and cracks such as defect compos

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8

Meylan, M. H., and L. G. Bennetts. "Three-dimensional time-domain scattering of waves in the marginal ice zone." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2129 (2018): 20170334. http://dx.doi.org/10.1098/rsta.2017.0334.

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Three-dimensional scattering of ocean surface waves in the marginal ice zone (MIZ) is determined in the time domain. The solution is found using spectral analysis of the linear operator for the Boltzmann equation. The method to calculate the scattering kernel that arises in the Boltzmann model from the single-floe solution is also presented along with new identities for the far-field scattering, which can be used to validate the single-floe solution. The spectrum of the operator is computed, and it is shown to have a universal structure under a special non-dimensionalization. This universal st

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9

Grimshaw, R., L. A. Ostrovsky, A. S. Topolnikov, and K. R. Khusnutdinova. "Influence of Internal Wave on the Sound Propagation in the Subsurface Bubble Layer." Proceedings of the Mavlyutov Institute of Mechanics 8, no. 1 (2011): 54–64. http://dx.doi.org/10.21662/uim2011.1.005.

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In the paper the influence of non-linear internal wave on the propagation of acoustic signal in the subsurface ocean layer containing gas bubbles is considered. During interaction with surface waves the internal wave causes its collapse and influences the structure of bubble layer. Inhomogeneous structure of the layer promotes the local speed of sound and intensity of scattering near the ocean surface to modulate by internal wave with slight shift in phase in the direction of its propagation, which agree with recent experimental observations made on the shelf of Japan Sea.

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10

ATASSI, O. V., and J. J. GILSON. "Acoustic mode scattering from a heat source." Journal of Fluid Mechanics 651 (April 30, 2010): 1–26. http://dx.doi.org/10.1017/s0022112010000261.

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The scattering of an incident acoustic wave by a non-uniform mean flow resulting from a heat source is investigated. The heat source produces gradients in the mean flow and the speed of sound that scatter the incident duct acoustic mode into vortical, entropic, and higher-order acoustic modes. Linear solutions utilizing the compact source limit and nonlinear solutions to the Euler equations are computed to understand how variations in the amplitude and axial extent of the heat source as well as the incident acoustic wave propagation angle and amplitude modify the scattered solution. For plane

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11

Zhan, Hanyu, Hanwan Jiang, and Ruinian Jiang. "Three-dimensional images generated from diffuse ultrasound wave: detections of multiple cracks in concrete structures." Structural Health Monitoring 19, no. 1 (2019): 12–25. http://dx.doi.org/10.1177/1475921719834045.

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The simultaneous detection of multiple defects in concrete structures is a task of pivotal importance for non-destructive testing and evaluation. Diffuse waves experiencing multiple scattering inside media are demonstrated to be sensitive to weak defects. Here, an analytic model is presented for diffuse wave decorrelation associated with sensitivity kernel that describes the time-of-flight distribution in strongly scattering environments. The model is then used for generating three-dimensional images that involve estimating perturbations at each localized position through an iterative, non-lin

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12

Bankov, S. E., and M. D. Duplenkova. "Electrodynamic modeling of slot gratings by the generalized scattering matrix method – spherical wave decomposition." Radiotehnika i èlektronika 69, no. 1 (2024): 34–45. http://dx.doi.org/10.31857/s0033849424010022.

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An algorithm is presented for the electrodynamic analysis of a two-dimensional waveguide slot array of finite dimensions. To solve the boundary value problem, the generalized scattering matrix method is used. The complex problem for a structure with large electrical dimensions is divided into two subproblems: wave scattering on one lattice element and the interaction of waves within the lattice. In accordance with this method, the electromagnetic field of a solitary lattice element is represented in the form of an expansion in incident and scattered spherical waves. The solution to the first s

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13

Kadowaki, H., H. Takatsu, T. Taniguchi, B. Fåk, and J. Ollivier. "Composite Spin and Quadrupole Wave in the Ordered Phase of Tb2+xTi2-xO7+y." SPIN 05, no. 02 (2015): 1540003. http://dx.doi.org/10.1142/s2010324715400032.

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The hidden ordered state of the frustrated pyrochlore oxide Tb 2+x Ti 2-x O 7+y is possibly one of the two electric multipolar, or quadrupolar, states of the effective pseudospin-1/2 Hamiltonian derived from crystal-field ground state doublets of non-Kramers Tb 3+ ions. These long-range orders are antiparallel or parallel alignments of transverse pseudospin components representing electric quadrupole moments, which cannot be observed as magnetic Bragg reflections by neutron scattering. However, pseudospin waves of these states are composite waves of the magnetic-dipole and electric-quadrupole

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Sergievskaya, Irina, Stanislav Ermakov, Alexey Ermoshkin, et al. "Modulation of Dual-Polarized X-Band Radar Backscatter Due to Long Wind Waves." Remote Sensing 11, no. 4 (2019): 423. http://dx.doi.org/10.3390/rs11040423.

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Investigation of microwave scattering mechanisms is extremely important for developing methods for ocean remote sensing. Recent studies have shown that a common two-scale scattering model accounting for resonance (Bragg) scattering has some drawbacks, in particular it often overestimates the vertical-to-horizontal polarization radar return ratio and underestimates the radar Doppler shifts if the latter are assumed as associated with quasi linear resonance surface waves. It is supposed nowadays that radar backscattering at moderate incidence angles is determined not only by resonance Bragg mech

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15

Tsidulko, Yuriy A., and Ivan S. Chernoshtanov. "Nonlinear Stage of Alfvén Ion-Cyclotron Instability." Siberian Journal of Physics 5, no. 3 (2010): 90–94. http://dx.doi.org/10.54362/1818-7919-2010-5-3-90-94.

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A model describing nonlinear saturated state of Alfvén ion-cyclotron instability is presented. Spirally symmetric exact solutions of Vlasov – Maxwell equations describing nonlinear Alfvén waves in collisionless plasmas are presented. On their basis the equation describing ion distribution function in non-linear equilibrium of a weak-collision plasma with the wave is obtained, taking into account an uniform fast ion injection, ion drag caused by electrons and neglecting ion angle scattering. A solution of this equation and relations of the wave parameters with the injection parameters are obtai

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16

Singh, Mansi, and R. Gayen. "Hydrodynamic response of dual obliquely submerged non-uniform flexible thin plates." IOP Conference Series: Materials Science and Engineering 1288, no. 1 (2023): 012008. http://dx.doi.org/10.1088/1757-899x/1288/1/012008.

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Abstract Examining inclined flexible plates with variable thickness becomes crucial when it comes to optimizing or achieving controlled reflection and transmission of waves, especially for the construction of breakwaters. Unlike horizontal breakwaters, inclined barriers have the ability to penetrate through numerous layers of the fluid, having different particle velocities and foster their interactions. This causes wave breaking which leads to loss of wave energy. Also, despite exhibiting a similar behavior, vertical structures do not attenuate waves as effectively as inclined ones do. Additio

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17

Goel, D., P. Chauhan, A. Varshney, and V. Sajal. "Parametric excitation of surface plasma waves by stimulated Compton scattering of laser beam at metal-free space interface." Laser and Particle Beams 34, no. 3 (2016): 467–73. http://dx.doi.org/10.1017/s0263034616000343.

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AbstractAn obliquely incident high-power laser (ω0,k0z) on the metallic surface can resonantly excite a surface plasma wave (SPW) (ω1,k1z) and a quasi-electrostatic plasma wave (ω,kz) inside the skin layer at the phase-matching conditions of frequency ω1= ω − ω0and wave numberk1z=kz−k0z. The oscillating electrons in the skin layer couples with the seed SPW and exert non-linear ponderomotive force on electrons at the frequency of quasi-static mode. Density perturbations due to quasi-static mode and ponderomotive force associate with the motion of electrons (due to incident laser) and give rise

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18

Ginibre, J., and G. Velo. "Scattering theory in the energy space for a class of non-linear wave equations." Communications in Mathematical Physics 123, no. 4 (1989): 535–73. http://dx.doi.org/10.1007/bf01218585.

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19

Riaz, Muhammad Bilal, Ali Raza Ansari, Adil Jhangeer, Muddassar Imran, and Choon Kit Chan. "The Fractional Soliton Wave Propagation of Non-Linear Volatility and Option Pricing Systems with a Sensitive Demonstration." Fractal and Fractional 7, no. 11 (2023): 809. http://dx.doi.org/10.3390/fractalfract7110809.

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In this study, we explore a fractional non-linear coupled option pricing and volatility system. The model under consideration can be viewed as a fractional non-linear coupled wave alternative to the Black–Scholes option pricing governing system, introducing a leveraging effect where stock volatility corresponds to stock returns. Employing the inverse scattering transformation, we find that the Cauchy problem for this model is insolvable. Consequently, we utilize the Φ6-expansion algorithm to generate generalized novel solitonic analytical wave structures within the system. We present graphical

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20

Schubert, Christian. "The worldline formalism in strong-field QED." Journal of Physics: Conference Series 2494, no. 1 (2023): 012020. http://dx.doi.org/10.1088/1742-6596/2494/1/012020.

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Abstract The worldline formalism provides an alternative to Feynman diagrams that has been found particularly useful for external-field calculations in quantum electrodynamics. Here I summarize its present range of applications, which includes Schwinger pair creation, photon splitting in constant fields and plane-wave backgrounds, as well as non-linear Compton scattering in constant fields.

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21

Fonseca, N., and C. Guedes Soares. "Time-Domain Analysis of Large-Amplitude Vertical Ship Motions and Wave Loads." Journal of Ship Research 42, no. 02 (1998): 139–53. http://dx.doi.org/10.5957/jsr.1998.42.2.139.

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The vertical motions and wave induced loads on ships with forward speed are studied in the time domain, considering non-linear effects associated with large amplitude motions and hull flare shape. The method is based on a strip theory, using singularities distributed on the cross sections which satisfy the linear free surface condition. The solution is obtained in the time domain using convolution to account for the memory effects related to the free surface oscillations. In this way the linear radiation forces are represented in terms of impulse response functions, infinite frequency added ma

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22

Thejappa, G., and R. J. MacDowall. "High frequency ion sound waves associated with Langmuir waves in type III radio burst source regions." Nonlinear Processes in Geophysics 11, no. 3 (2004): 411–20. http://dx.doi.org/10.5194/npg-11-411-2004.

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Abstract. Short wavelength ion sound waves (2-4kHz) are detected in association with the Langmuir waves (~15-30kHz) in the source regions of several local type III radio bursts. They are most probably not due to any resonant wave-wave interactions such as the electrostatic decay instability because their wavelengths are much shorter than those of Langmuir waves. The Langmuir waves occur as coherent field structures with peak intensities exceeding the Langmuir collapse thresholds. Their scale sizes are of the order of the wavelength of an ion sound wave. These Langmuir wave field characteristic

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23

Zhang, Ge, Weimin Shi, Xiaofeng Shen, Qilong Miao, Chenfei Xie, and Lu Chen. "A Novel Algorithm for Adaptive Detection and Tracking of Extended Targets Using Millimeter-Wave Imaging Radar." Sensors 25, no. 10 (2025): 3029. https://doi.org/10.3390/s25103029.

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A high-resolution imaging radar is exceptionally well-suited for the detection and perception of extended targets (ETs), as it provides a comprehensive representation of the spatial distribution of target scattering characteristics. In this work, we propose an adaptive detection and tracking framework for non-cooperative ETs based on radar imaging. The framework leverages the statistical properties of ETs in radar imaging to construct a target distribution model and introduces an adaptive ET detection and tracking algorithm based on Scattering Point Shift (SPS). This algorithm is designed to t

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24

PELEG, YOAV. "4-DIMENSIONAL AND 2-DIMENSIONAL EVAPORATING DILATONIC BLACK HOLES." Modern Physics Letters A 09, no. 34 (1994): 3137–48. http://dx.doi.org/10.1142/s0217732394002963.

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The picture of S-wave scattering from a 4-D extremal dilatonic black hole is examined. Classically, a small matter shock wave will form a non-extremal black hole. In the “throat region” the r-t geometry is exactly that of a collapsing 2-D black hole. The 4-D Hawking radiation (in this classical background) gives the 2-D Hawking radiation exactly in the throat region. The 4-D geometry outside the throat region is almost the extremal one, and the deviations can be calculated using a linear approximation. Inclusion of the back-reaction changes this picture: the linear approximation is valid only

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Tant, Katherine M. M., Anthony J. Mulholland, Matthias Langer, and Anthony Gachagan. "A fractional Fourier transform analysis of the scattering of ultrasonic waves." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2175 (2015): 20140958. http://dx.doi.org/10.1098/rspa.2014.0958.

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Many safety critical structures, such as those found in nuclear plants, oil pipelines and in the aerospace industry, rely on key components that are constructed from heterogeneous materials. Ultrasonic non-destructive testing (NDT) uses high-frequency mechanical waves to inspect these parts, ensuring they operate reliably without compromising their integrity. It is possible to employ mathematical models to develop a deeper understanding of the acquired ultrasonic data and enhance defect imaging algorithms. In this paper, a model for the scattering of ultrasonic waves by a crack is derived in t

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26

Kenig, Carlos E., and Frank Merle. "Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation." Acta Mathematica 201, no. 2 (2008): 147–212. http://dx.doi.org/10.1007/s11511-008-0031-6.

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27

Stenkamp, D. "Quantitative determination of imaging parameters and composition from high-resolution transmission electron microscopy lattice images." Proceedings, annual meeting, Electron Microscopy Society of America 54 (August 11, 1996): 96–97. http://dx.doi.org/10.1017/s0424820100162946.

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A quantitative method for the direct determination of defocus Δf, local sample thickness t and local composition x from high-resolution transmission electron microscopy (HRTEM) lattice images of wedge-shaped samples is described. The method is applicable to a wide class of crystalline materials comprising elemental semiconductors, elemental metals and substitutional random alloys composed of these elements. The proposed method relies on the functional dependence of linear and non-linear image Fourier coefficients on the parameters defocus Δf, sample thickness t and composition x. This relation

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28

SHALAEV, VLADIMIR, V. A. MARKEL, V. P. SAFONOV, and R. BOTET. "RESONANT OPTICS OF FRACTALS." Fractals 02, no. 02 (1994): 201–9. http://dx.doi.org/10.1142/s0218348x94000193.

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Fractal objects can sustain strongly localized optical modes with high quality-factor. Intense local fields associated with the dipolar eigenmodes in fractals ultimately result in significant enhancement of a number of optical effects. In particular, such basic optical processes as Rayleigh and Raman scattering, degenerate four-wave mixing and harmonic generation, two-photon absorption and non-linear photoemission can be enhanced by several orders of magnitude in small-particle fractal composites and self-affine films.

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29

Mašek, M., and K. Rohlena. "Kinetics of the Raman scattering in a laser corona using a transform method." Laser and Particle Beams 35, no. 4 (2017): 687–98. http://dx.doi.org/10.1017/s0263034617000696.

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AbstractThis paper is an extension of our previous paper (Mašek and Rohlena, 2015), where we applied a transform method for the solution of Vlasov–Maxwell set of equations in a one-dimensional geometry to describe the Raman backscattering of the heating ns laser wave in the external corona of the generated laser plasma in a strongly non-linear regime. The method is stabilized by a simplified Fokker–Planck collision term, which, in turn, is used for a study of the influence of collisional and collisionless damping mechanisms of the daughter electron plasma wave (EPW) on the instability developm

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30

Cummins, C. P., G. T. Scarlett, and C. Windt. "Numerical analysis of wave–structure interaction of regular waves with surface-piercing inclined plates." Journal of Ocean Engineering and Marine Energy 8, no. 1 (2021): 99–115. http://dx.doi.org/10.1007/s40722-021-00219-6.

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AbstractThe Mocean wave energy converter consists of two sections, hinged at a central location, allowing the device to convert energy from the relative pitching motion of the sections. In a simplified form, the scattering problem for the device can be modelled as monochromatic waves incident upon a thin, inclined, surface-piercing plate of length $$L'$$ L ′ in a finite depth $$d'$$ d ′ of water. In this paper, the flow past such a plate is solved using a Boundary Element Method (BEM) and Computational Fluid Dynamics (CFD). While the BEM solution is based on linear potential flow theory, CFD d

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31

Mindrinos, Leonidas. "The Electromagnetic Scattering Problem by a Cylindrical Doubly-Connected Domain at Oblique Incidence: An Inverse Problem." Journal of Advances in Applied & Computational Mathematics 10 (August 7, 2023): 18–25. http://dx.doi.org/10.15377/2409-5761.2023.10.2.

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In this work, we examine the inverse problem to reconstruct the inner boundary of a cylindrical doubly-connected infinitely long medium from measurements of the scattered electromagnetic wave in the far-field. We consider the integral representation of the solution to derive a non-linear system of equations for the unknown radial function. We propose an iterative scheme using linearization and regularization techniques.

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KAUR, GURMEET, M. L. SINGH, and M. S. PATTERH. "THEORETICAL INVESTIGATIONS TO MINIMIZE BIT ERROR RATE BY OPTIMIZING SYSTEM PARAMETERS IN OPTICAL DWDM TRANSMISSION SYSTEMS AT DIFFERENT DATA RATES." Journal of Nonlinear Optical Physics & Materials 18, no. 03 (2009): 501–19. http://dx.doi.org/10.1142/s0218863509004750.

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The amplifier separation and channel separation has conflicting effects on the noise generated due to the fiber non-linear effects (Stimulated Raman scattering SRS and Four wave mixing FWM) and the Amplified spontaneous emission (ASE) noise introduced by inline optical amplifications. While designing an efficient Dense Wavelength Division Multiplexing (DWDM) system, optimization of the channel separation and amplifier separation are required to minimize the non-linear effects (FWM and SRS) along with the ASE noise. In this paper, theoretical investigations of the optical DWDM systems have been

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Rebora, Giacomo, Dario Ferraro, Ramiro H. Rodriguez, François D. Parmentier, Patrice Roche, and Maura Sassetti. "Electronic Wave-Packets in Integer Quantum Hall Edge Channels: Relaxation and Dissipative Effects." Entropy 23, no. 2 (2021): 138. http://dx.doi.org/10.3390/e23020138.

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We theoretically investigate the evolution of the peak height of energy-resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor equal to two. This is ultimately related to the elastic scattering amplitude for the fermionic excitations evaluated at different injection energies. We investigate this quantity assuming a short-range capacitive coupling between the edges. Moreover, we also phenomenologically take into account the possibility of energy dissipation towards additional degrees of freedom—both linear and quadratic—in the injec

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Wójcik, Grażyna, and Jolanta Holband. "Variable-temperature studies of the 4-isopropylphenol crystal structure from X-ray diffraction. Comparison of thermal expansion and molecular dynamics with spectroscopic results." Acta Crystallographica Section B Structural Science 58, no. 4 (2002): 684–89. http://dx.doi.org/10.1107/s0108768102004573.

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Crystalline 4-isopropylphenol, C9H12O, an optically non-linear material, was studied by X-ray diffraction in order to determine its structure at several temperatures in the 95–300 K range. The thermal expansion coefficients have been calculated from the lattice parameters' dependence on temperature. The rigid-body analysis of the anisotropic displacement parameters including the correlation with the internal motion of large amplitude provided the values of the molecular translation and libration tensors at the temperatures studied and was used to characterize the torsional motion of the isopro

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Yin, Junjun, and Jian Yang. "Framework for Reconstruction of Pseudo Quad Polarimetric Imagery from General Compact Polarimetry." Remote Sensing 13, no. 3 (2021): 530. http://dx.doi.org/10.3390/rs13030530.

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Pseudo quad polarimetric (quad-pol) image reconstruction from the hybrid dual-pol (or compact polarimetric (CP)) synthetic aperture radar (SAR) imagery is a category of important techniques for radar polarimetric applications. There are three key aspects concerned in the literature for the reconstruction methods, i.e., the scattering symmetric assumption, the reconstruction model, and the solving approach of the unknowns. Since CP measurements depend on the CP mode configurations, different reconstruction procedures were designed when the transmit wave varies, which means the reconstruction pr

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Michelis, T., C. de Koning, and M. Kotsonis. "On the interaction of Tollmien–Schlichting waves with a wall-embedded Helmholtz resonator." Physics of Fluids 35, no. 3 (2023): 034104. http://dx.doi.org/10.1063/5.0141685.

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The influence of a wall-embedded Helmholtz resonator on the development and stability of Tollmien–Schlichting (TS) waves is investigated numerically and experimentally for a range of frequencies extending from below to above resonance. Interactions are found to be limited in the near-wall region and toward the trailing edge of the resonator orifice while at the same time being linear nature. The dynamic response of the flow-excited resonator is shown to have a fixed phase relation with respect to the TS-waves, indicating that only amplification of the latter can be achieved. The same resonant

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Warren, Thomas L. "Interaction effects from the elastodynamic scattering by two symmetric spherical cavities." AIP Advances 13, no. 2 (2023): 025156. http://dx.doi.org/10.1063/5.0116877.

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The scattering of harmonic waves has been studied extensively for problems in quantum mechanics, acoustics, electromagnetics, and elasticity. Solutions to elastodynamic problems are the basis for ultrasonic non-destructive evaluation measurement models. Therefore, in this study, we investigate the use of the boundary element method (BEM) in the frequency domain using an off-boundary technique in which the observation points are taken inside the scattering object. This methodology removes both non-integrable singularities from the domain of integration along with avoiding ill-conditioning effec

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Buckingham, AD. "Linear and Nonlinear Light Scattering from the Surfaces of Liquids." Australian Journal of Physics 43, no. 5 (1990): 617. http://dx.doi.org/10.1071/ph900617.

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The linear optical properties of matter, e.g. the refractive index, the absorption coefficient and the reflectivity, can be interpreted in terms of the oscillating charge and current densities induced by the optical field. For most purposes, it is sufficient to consider the oscillating dipole moment 11= OI.E = OI.E(O) exp(-ioot+ik. r), where 01. is the mean polarisability of a molecule, or of a unit cell, in a plane wave propagating with wave vector k, angular frequency 00 and amplitude E(O). A static electric field F polarises the material and may affect the reflected light linearly in F. If

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LEE, SEUNG-JOON, JOON-HYUN LEE, and JOON-HYUNG BYUN. "EXPERIMENTAL NON-CONTACT EVALUATION OF DELAMINATION IN CFRP COMPOSITE PLATES BY LASER GENERATION/AIR-COUPLED DETECTION ULTRASONIC SYSTEM." Modern Physics Letters B 22, no. 11 (2008): 827–32. http://dx.doi.org/10.1142/s0217984908015450.

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The objective of this research is to develop non-contact and real time inspection technique based on laser generated ultrasound for evaluating near-surface delamination in Carbon/Epoxy composite fabricated from automated fiber placement system. In this study, A hybrid laser generation/air-coupled detection ultrasonic system for detection and visualization of delamination in composite plates with simulated delamination of the area of 20 mm × 20 mm between the first and the second layer. Optical fiberized Nd :YAG pulse laser (532 nm, 32 mJ) with linear slit array is used to generate ultrasonic g

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Mokhtarzadeh, Mahsa, and Karl F. Ludwig. "Simulations of Co-GISAXS during kinetic roughening of growth surfaces." Journal of Synchrotron Radiation 24, no. 6 (2017): 1187–94. http://dx.doi.org/10.1107/s1600577517011924.

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The recent development of surface growth studies using X-ray photon correlation spectroscopy in a grazing-incidence small-angle X-ray scattering (Co-GISAXS) geometry enables the investigation of dynamical processes during kinetic roughening in greater detail than was previously possible. In order to investigate the Co-GISAXS behavior expected from existing growth models, calculations and (2+1)-dimension simulations of linear Kuramoto–Sivashinsky and non-linear Kardar–Parisi–Zhang surface growth equations are presented which analyze the temporal correlation functions of the height–height struct

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Xu, Jingyuan, and James A. Kenar. "Rheological and Micro-Rheological Properties of Chicory Inulin Gels." Gels 10, no. 3 (2024): 171. http://dx.doi.org/10.3390/gels10030171.

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As a soluble fiber, inulin is present in many plants and has many applications in food and non-food products. In this work, we investigated the rheological properties of inulin dispersions at seven concentrations. The linear viscoelastic properties of inulin were determined using a conventional mechanical rheometer. At 25 wt%, inulin exhibited fluid-like viscoelastic liquid behavior. However, when concentrations were ≥27.5 wt%, inulin exhibited gel-like viscoelastic properties. The viscoelastic properties (moduli and viscosities) increased with increasing inulin concentration. The high-frequen

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Bahreman, Marzieh, Anubhav Roy, and Christopher M. Kube. "The effects of nonlinear approximation to mass operator on the wave propagation in polycrystalline materials." Journal of the Acoustical Society of America 155, no. 3_Supplement (2024): A290. http://dx.doi.org/10.1121/10.0027541.

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Existing theoretical models utilize the first or third-order smoothing approximations (FOSA and TOSA) to predict attenuation and wavespeed in polycrystalline materials. The FOSA-based model involves a Born approximation, limiting its application to the stochastic (low-frequency) scattering regime. This restriction is a significant factor contributing to its disagreement with FE-based models. The model based on TOSA was subsequently developed, incorporating two additional multiple scattering terms, and increasing the degree of heterogeneity. To extend into the high-frequency regime, the TOSA-ba

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BLAZQUEZ, J. F. MIRAMAR. "Application of solitons to the study of laser propagation into a thermonuclear plasma in inertial confinement fusion." Laser and Particle Beams 20, no. 1 (2002): 153–57. http://dx.doi.org/10.1017/s0263034602201238.

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In this work, we study the laser propagation in a thermonuclear plasma corresponding to implosion of deuterium-tritium pellets in inertial confinement fusion, by injecting energy provided by high-power laser devices into a quiescent plasma and generating solitons. Having in mind that the electric field inside of plasma can be studied by means of a particular non-linear Schrödinger equation, we solve this equation as an inverse problem, using the Inverse Scattering Transform method, that is a 2 × 2 eigenvalue problem, known as the AKNS scheme, developed by Ablovitz, Kamp, Newell, and Shabat. We

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Morgan, R. V., O. A. Likhachev, and J. W. Jacobs. "Rarefaction-driven Rayleigh–Taylor instability. Part 1. Diffuse-interface linear stability measurements and theory." Journal of Fluid Mechanics 791 (February 15, 2016): 34–60. http://dx.doi.org/10.1017/jfm.2016.46.

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Theory and experiments are reported that explore the behaviour of the Rayleigh–Taylor instability initiated with a diffuse interface. Experiments are performed in which an interface between two gases of differing density is made unstable by acceleration generated by a rarefaction wave. Well-controlled, diffuse, two-dimensional and three-dimensional, single-mode perturbations are generated by oscillating the gases either side to side, or vertically for the three-dimensional perturbations. The puncturing of a diaphragm separating a vacuum tank beneath the test section generates a rarefaction wav

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Susanti, Hesty, S. Suprijanto, and Deddy Kurniadi. "ANALYTICAL MODELLING BASED ON RESONANCE SCATTERING THEORY EXPLAINING THE NEEDLE VISIBILITY INCONSISTENCY IN B-MODE ULTRASOUND." Journal of the Serbian Society for Computational Mechanics 15, no. 1 (2021): 131–48. http://dx.doi.org/10.24874/jsscm.2021.15.01.09.

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In an ultrasound-guided needle insertion, physicians should adjust a certain insertion angle and the position of the transducer to ensure that the initial point and final target are in-plane inside the imaging plane. One of the crucial problems in this interventional procedure is poor and inconsistent needle visibility in B-mode ultrasound. In this research, some potential physical parameters, i.e., ultrasound frequency, the incident angle of the ultrasound beam, needle density, and dimension, are investigated through analytical modeling based on the resonance scattering model to understand th

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Wang, Jiong-Hao, Yu-Liang Tao, and Yong Xu. "Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems." Chinese Physics Letters 39, no. 1 (2022): 010301. http://dx.doi.org/10.1088/0256-307x/39/1/010301.

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Non-Hermitian materials can exhibit not only exotic energy band structures but also an anomalous velocity induced by non-Hermitian anomalous Berry connection as predicted by the semiclassical equations of motion for Bloch electrons. However, it is unclear how the modified semiclassical dynamics modifies transport phenomena. Here, we theoretically demonstrate the emergence of anomalous oscillations driven by either an external dc or ac electric field, which arise from non-Hermitian anomalous Berry connection. Moreover, it is a well-known fact that geometric structures of electric wave functions

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Karamanos, T. D., A. I. Dimitriadis, and K. Nikolaos V. "Polarizability Matrix Extraction of a Bianisotropic Metamaterial from the Scattering Parameters of Normally Incident Plane Waves." Advanced Electromagnetics 1, no. 3 (2012): 64. http://dx.doi.org/10.7716/aem.v1i3.73.

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In this paper, a polarizability matrix retrieval method for bianisotropic metamaterials is presented. Assuming that scatterers can be modeled by electric and magnetic pointdipoles located at their centers, the induced dipole moments are analytically related to the normally incident fields, while the scattered fields are also analytically obtained for two individual cases of normal wave incidence. The latter can be combined with the incident fields, to express the desired polarizabilities, with regard to the measured or simulated scattering parameters. In this way, the polarizability matrix can

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HOWISON, SAM, JOHN KING, ANDREW LACEY, and MICHAEL WARD. "Preface." European Journal of Applied Mathematics 26, no. 5 (2015): 561–62. http://dx.doi.org/10.1017/s0956792515000431.

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In this special issue of the European Journal of Applied Mathematics we celebrate the 75th birthday of its founding editor, Professor John Ockendon.John started his research career with his D.Phil., awarded in 1965, working with Alan Tayler at the University of Oxford. John's background was in fluid mechanics, covering a wide range of topics, including, lubrication flows, flows in porous media, hypersonic aerodynamics, sloshing phenomena, and flow separation. He soon became involved in industrial research which led, in particular, to his interest in the field of free boundary problems, an area

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Sterbenz, Jacob. "Global regularity and scattering for general non-linear wave equations II. (4+1) dimensional Yang-Mills equations in the Lorentz gauge." American Journal of Mathematics 129, no. 3 (2007): 611–64. http://dx.doi.org/10.1353/ajm.2007.0020.

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Mascali, D., G. Torrisi, L. Di Donato, et al. "Preliminary evaluation of inverse scattering-based plasma-profilometry application to fusion plasmas." Journal of Instrumentation 17, no. 06 (2022): C06006. http://dx.doi.org/10.1088/1748-0221/17/06/c06006.

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Abstract A new diagnostic method able to perform plasma profilometry is investigated in this work to retrieve the plasma electron density profile in front of the Ion Cyclotron Range of Frequencies (ICRF) antennas. As a reference scenario for our numerical study, the Divertor Tokamak Test (DTT [1]) ICRF antennas and plasma will be considered. Specifically, the profilometry needs to solve an inverse scattering problem, which is non-linear and ill-posed. In some recent papers [2, 3], plasma imaging profilometry in compact plasma reactors, such as the electron cyclotron ion sources (ECRIS), has be

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