Academic literature on the topic 'Non-Linear wave scattering'

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

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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Non-Linear wave scattering"

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Lehner, Thierry. "Interaction quadratique onde-onde en plasma : battement d'ondes, couplage onde-fluctuations." Paris 6, 1987. http://www.theses.fr/1987PA066482.

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Lorsque les deux ondes se couplent en basse frequence, on obtient un effet de pression de radiation ou lieu de force ponderomotrice. Ces notions sont etudiees dans un plasma magnetise ou non, ainsi que le cas ou la force ponderomotrice depend lentement du temps. On envisage deux applications : on etudie, a l'aide d'un double blanc microonde la generation d'une resonance par battement d'ondes, avec une detection sensible au transfert d'action. On considere la possibilite de diagnostic du plasma magnetise par optique non lineaire. L'analyse de la polarisation d'une onde diffusee par des fluctuat
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Lafontaine, David. "Effets dispersifs et asymptotique en temps long d'équations d'ondes dans des domaines extérieurs." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4067/document.

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L'objet de cette thèse est l'étude des équations de Schrödinger et des ondes, à la fois linéaires et non linéaires, dans des domaines extérieurs. Nous nous intéressons en particulier aux inégalités dites de Strichartz, qui sont une famille d'estimations dispersives mesurant la décroissance du flot linéaire, particulièrement utiles à l'étude des problèmes non linéaires correspondants. Dans des géométries dites non-captantes, c'est à dire où tous les rayons de l'optique géométrique partent à l'infini, de nombreux résultats montrent que de telles estimations sont aussi bonnes que dans l'espace li
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Tretinnikov, Pavel. "New developments on the interpretative model of ITER diagnostics using microwaves." Electronic Thesis or Diss., Université de Lorraine, 2023. http://www.theses.fr/2023LORR0027.

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La turbulence dans le plasma de fusion thermonucléaire peut entraîner une augmentation du coefficient de transport de l’énergie et des particules détériorant ainsi le confinement du plasma. C’est pourquoi les mesures de la turbulence du plasma sont importantes pour la description des processus de transport du plasma. Le diagnostic plasma micro-ondes est un type efficace de diagnostic plasma actif pour caractériser la turbulence. Leurs principes reposent sur la collecte d’informations intégrées dans le volume de plasma sondé, et contenu dans les ondes réfléchies ou diffusées atteignant le détec
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Pham, Truong Xuan. "Peeling et scattering conforme dans les espaces-temps de la relativité générale." Thesis, Brest, 2017. http://www.theses.fr/2017BRES0034/document.

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Nous étudions l’analyse asymptotique en relativité générale sous deux aspects: le peeling et le scattering (diffusion) conforme. Le peeling est construit pour les champs scalaires linéaire et non-linéaires et pour les champs de Dirac en espace-temps de Kerr (qui est non-stationnaire et à symétrie simplement axiale), généralisant les travaux de L. Mason et J-P. Nicolas (2009, 2012). La méthode des champs de vecteurs (estimations d’énergie géométriques) et la technique de compactification conforme sont développées. Elles nous permettent de formuler les définitions du peeling à tous ordres et d’o
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Watson, Francis Maurice. "Better imaging for landmine detection : an exploration of 3D full-wave inversion for ground-penetrating radar." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/better-imaging-for-landmine-detection-an-exploration-of-3d-fullwave-inversion-for-groundpenetrating-radar(720bab5f-03a7-4531-9a56-7121609b3ef0).html.

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Humanitarian clearance of minefields is most often carried out by hand, conventionally using a a metal detector and a probe. Detection is a very slow process, as every piece of detected metal must treated as if it were a landmine and carefully probed and excavated, while many of them are not. The process can be safely sped up by use of Ground-Penetrating Radar (GPR) to image the subsurface, to verify metal detection results and safely ignore any objects which could not possibly be a landmine. In this thesis, we explore the possibility of using Full Wave Inversion (FWI) to improve GPR imaging f
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Gaudillat, Valentine. "Étude du mélange à quatre ondes sensible à la phase dans les fibres faiblement multimodes." Electronic Thesis or Diss., Université de Rennes (2023-....), 2024. http://www.theses.fr/2024URENS028.

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Au cours des dernières années, le besoin en débit des télécommunications a considérablement augmenté. Pour maintenir une avance significative, il est essentiel d’améliorer les réseaux existants et de développer de nouvelles infrastructures plus performantes. Ainsi, les réseaux du futur pourraient être constitués de fibre faiblement multimode afin d’augmenter le nombre de canaux indépendants dans une même fibre. Il faudrait alors transférer les fonctions optiques déjà démontrées dans les réseaux actuels telles que la conversion de fréquence ou la régénération de phase. Cette thèse étudie numéri
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Tomasini, Franco. "Contribution a l'etude des non-linearites optiques de chlorure de cuivre." Université Louis Pasteur (Strasbourg) (1971-2008), 1986. http://www.theses.fr/1986STR13111.

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Nous etudions la reponse optique non-lineaire d'un cristal de chlorure de cuivre en interaction avec un faisceau laser intense et de grande finesse spectrale. Un calcul non perturbatif utilisant le formalisme de la matrice densite permet d'obtenir la fonction dielectrique du cristal, represente par un modele a trois ou quatre niveaux (niveau fondamental, excitonique, biexcitonique) dans ces conditions. Les renormalisations des courbes de dispersion, du coefficient d'absorption et de reflexion normale sont calculees. L'utilisation de lasers a colorants a incidence rasante pompes par un laser a
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Ferrier, Jean-Louis. "Contribution à l'étude de la conjugaison de phase, en régime d'excitation picoseconde, dans les milieux liquides et cristallins : faisabilité, caractérisation et applications." Angers, 1986. http://www.theses.fr/1986ANGE0003.

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Par l'utilisation de lasers de puissance de type picoseconde (longueur d'onde 532 nm, durée 25ps) dans des milieux liquides et cristallins, nous avons apporté notre contribution a : - l'aspect faisabilité de la conjugaison de phase en picoseconde, -l'évaluation du comportement transitoire ou pas des phénomènes, - des applications particulières a ce domaine. Nous avons caractérisé et étudie par voie expérimentale et théorique différents paramètres entrant en jeu dans les deux types d'expériences susceptibles de produire la conjugaison de phase- mélange quatre ondes et rétrodiffusions stimulées-
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PORTELLA, MARCIA TEREZA. "Spectroscopie coherente et etude d'un espace poreux par melange a quatre ondes." Paris 6, 1987. http://www.theses.fr/1987PA066586.

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Nous avons construit des lasers qui ont servi a des experiences de melange a quatres ondes (reseau transitoire). Nous avons d'abord etudie la reponse non lineaire du troisieme ordre lorsque le milieu presente un continuum large d'etats (colorants). Le signal obtenu sur le cresyl-violet en film mince de colle cellulosique a ete analyse. La technique du reseau transitoire a ete ensuite utilisee pour caracteriser la dynamique de molecules dans un milieu poreux (vycor) et etudier la geometrie des connexions entre pores. Nous avons etudie la rotation de l'azobenzene en solution soit libre soit cont
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Diallo, Souleymane. "Utilisation des non-linéarités Kerr et Brillouin dans les résonateurs à mode de galerie cristallins pour la synthèse de micro-ondes." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2028/document.

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Les résonateurs à modes de galerie sont des cavités diélectriques qui supportent des modes à très haut facteur de qualité et à faible volume qui demeurent confinés à l'interface air-diélectrique pour des durées pouvant atteindre voire dépasser la microseconde. L'intérêt de ce fort confinement des modes pour de longues durées est l'accentuation de l'interaction lumière-matière. Par conséquent, de nombreuses interactions non-linéaires telles que l'effet Kerr ou encore l'effet Brillouin à des puissances seuil inversement proportionnelles au carré voire au cube du facteur de qualité du résonateur
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Books on the topic "Non-Linear wave scattering"

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Reed, Michael. Abstract Non Linear Wave Equations. Springer London, Limited, 2006.

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Asano, N., and Y. Kato. Algebraic and Spectral Methods for Non-Linear Wave Equations (Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 49). Longman Sc & Tech, 1991.

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Furst, Eric M., and Todd M. Squires. Microrheology. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.001.0001.

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We present a comprehensive overview of microrheology, emphasizing the underlying theory, practical aspects of its implementation, and current applications to rheological studies in academic and industrial laboratories. Key methods and techniques are examined, including important considerations to be made with respect to the materials most amenable to microrheological characterization and pitfalls to avoid in measurements and analysis. The fundamental principles of all microrheology experiments are presented, including the nature of colloidal probes and their movement in fluids, soft solids, an
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Book chapters on the topic "Non-Linear wave scattering"

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Wiskin, J., D. T. Borup, S. A. Johnson, M. Berggren, T. Abbott, and R. Hanover. "Full-Wave, Non-Linear, Inverse Scattering." In Acoustical Imaging. Springer Netherlands, 2007. http://dx.doi.org/10.1007/1-4020-5721-0_20.

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Tsytovich, Vadim N. "Stimulated Scattering of Waves by Particles." In Lectures on Non-linear Plasma Kinetics. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-78902-1_6.

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Vu, Pham Loi. "Inverse Scattering for Integration of The Continual System of Non-Linear Interaction Waves." In Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations, 2nd ed. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003370543-5.

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Logvin, Aleksander I., and Anatolij I. Kozlov. "Formulation of Scattering Matrix for Electromagnetic Waves under Non-Linear Transformation: Non-Linear Oxidized Metal Junction Higher Harmonics Reradiation Effects." In Direct and Inverse Methods in Radar Polarimetry. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-010-9243-2_46.

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Akhmanov, S. A., and S. YU Nikitin. "Theoretical non-linear optics." In Physical Optics. Oxford University PressOxford, 1997. http://dx.doi.org/10.1093/oso/9780198517955.003.0023.

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Abstract Optical second-harmonic generation. Stimulated Raman scattering. Self-focusing of light. The theory of non-linear optical effects is based on Maxwell’s equations and the material equations. From Maxwell’s equations one can obtain the wave equation (see Chapter 22).
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Roy, Arabinda, and Rasajit Kumar Bera. "Two-Dimensional Low Frequency Scattering of Acoustic Wave by a Rough Surface." In Linear and Non-Linear Deformations of Elastic Solids. CRC Press, 2019. http://dx.doi.org/10.1201/9780429319426-14.

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He, Sailing, Staffan Strom, and Vaughan H. Weston. "Time Domain Wave-Splitting Green’S Function Approaches." In Time Domain Wave-Splittings and Inverse Problems. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198565499.003.0002.

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Abstract The scattering kernels introduced in Chapter 1 and determined by means of the imbedding approach provide a framework for solving direct and inverse scattering problems, but the full wave propagation problem, i.e., including the determination of the field inside the scattering region, is not solved by the scattering kernels. However, during recent years the time domain wave-splitting approach has been extended to include the determination of the fields inside the inhomogeneous region. This extension, called the Green’s functions approach, is one of the main themes of the presentation i
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Zakharov, V. E., and S. V. Manakov. "Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method." In 30 Years of the Landau Institute — Selected Papers. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814317344_0047.

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Dunajski, Maciej. "Soliton equations and the inverse scattering transform." In Solitons, Instantons, and Twistors. Oxford University PressOxford, 2009. http://dx.doi.org/10.1093/oso/9780198570622.003.0002.

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Abstract A universally accepted definition of integrability does not exist for partial differential equations (PDEs). The phase space is infinite dimensional but having ‘infinitely many’ first integrals may not be enough – we could have missed every second one. One instead focuses on properties of solutions and solution-generation techniques. We shall study solitons – solitary non-linear waves which preserve their shape (and other characteristics) in the evolution. These soliton solutions will be constructed by means of an inverse problem: recovering a potential from the scattering data.
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Dunajski, Maciej. "Soliton equations and the inverse scattering transform." In Solitons, Instantons, and Twistors, 2nd ed. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780198872535.003.0002.

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Abstract A universally accepted definition of integrability does not exist for partial differential equations (PDEs). The phase space is infinite-dimensional, but having ‘infinitely many’ first integrals may not be enough-we could have missed every second one. One instead focuses on properties of solutions and solution-generation techniques. In this chapter we study solitons-solitary non-linear waves which preserve their shape (and other characteristics) in the evolution. These soliton solutions will be constructed by means of an inverse problem: recovering a potential from the scattering data
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Conference papers on the topic "Non-Linear wave scattering"

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Wanjura, Clara, and Florian Marquardt. "Fully non-linear neuromorphic computing with linear wave scattering." In AI and Optical Data Sciences VI, edited by Masaya Notomi and Tingyi Zhou. SPIE, 2025. https://doi.org/10.1117/12.3041808.

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Agnihotri, Anadi, and Pradeep Kumar Krishnamurthy. "All-fiber broadband photon pair generation in dispersion flattened highly non-linear fiber." In JSAP-Optica Joint Symposia. Optica Publishing Group, 2024. https://doi.org/10.1364/jsapo.2024.20a_c43_4.

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We report on a spontaneous four-wave mixing (SFWM) based broadband correlated photon pair generation using a dispersion flattened highly-nonlinear fiber (DF-HNLF). The DF-HNLF is pumped by a stable mode-locked laser (MLL) which generates pump pulses of 250 ps FWHM at a repetition rate of 94.509 MHz. The joint spectral intensity (JSI) data indicates photon pair generation across entire S, C, and L bands. The intrinsic photon pair generation rate, after accounting for spontaneous Raman scattering (SpRS), system loss, and detector dark counts, is ≈ 100kHz although due to detection gating limit we
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Zang, J., R. Gibson, P. H. Taylor, R. Eatock Taylor, and C. Swan. "Non-Linear Wave Diffraction Around a Moored Ship." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51589.

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The objective of this research, part of the FP5 REBASDO Programme, is to examine the effects of directional wave spreading on the nonlinear hydrodynamic loads and the wave run-up around the bow of a floating vessel (FPSO) in random seas. In this work, the non-linear wave scattering problem is solved by employing a quadratic boundary element method. An existing scheme (DIFFRACT developed in Oxford) has been extended to deal with uni-directional and directional bi-chromatic input wave systems, calculating second-order wave diffraction under regular waves and focused wave groups. The second order
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Kim, J. W., R. C. Ertekin, and K. J. Bai. "Linear and Non-Linear Wave Models Based on Hamilton’s Principle and Stream-Function Theory: CMSE and IGN." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29747.

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Recently, two wave models based on the stream-function theory have been derived from Hamilton’s principle for gravity waves. One is the Irrotational Green-Naghdi (IGN) equation and the other is the Complementary Mild-Slope Equation (CMSE). The IGN equation has been derived to describe refraction and diffraction of nonlinear gravity waves in the time domain and in water of finite but arbitrary bathymetry. The CMSE has been derived to consider the same problem in the (linear) frequency domain. In this paper, we first describe the discuss the two models from the viewpoint of Hamilton’s principle.
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Niklès, Marc, Luc Thévenaz, and Philippe Robert. "Brillouin Gain Spectrum Measurements using a Single Laser Source." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/nlgwp.1993.md.5.

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Stimulated Brillouin scattering (SBS) is a non-linear process that occurs in optical fibres at much lower pump power than most other non-linear effects. The pump wave is scattered into a backward-propagating Stokes wave that experiences a frequency shift lying in the 12-13 GHz range at 1300 nm. This shift is proportional to the acoustic velocity within the fibre, making SBS an efficient tool for sensing applications, e.g. for monitoring strains in installed fibres [1].
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New, M. J., P. Ewart, A. Dreizler, and T. Dreier. "Multiplex polarization spectroscopy of OH for flame thermometry." In Laser Applications to Chemical and Environmental Analysis. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/lacea.1996.lthc.9.

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Laser-based techniques for combustion diagnostics are becoming increasingly important as they allow remote and non-intrusive measurements of flame parameters with high spatial and temporal resolution. Linear light scattering methods such as Laser Induced Fluorescence, Rayleigh and Raman scattering have been successfully applied [1]. In some situations non-linear processes such as coherent anti-Raman scattering (CARS) offer certain advantages over linear techniques. CARS is a four-wave mixing process and generates a signal in the form of a coherent beam of radiation but is suitable only for the
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Hsu, Tai-Wen, Shan-Hwei Ou, Chin-Yen Tsai, and Jian-Feng Lin. "Kinetic, Dynamic and Energy Characteristics of Vortex Evolution on Bragg Scattering of Water Waves." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-21092.

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The vortex generation and dissipation under Bragg scattering of water wave propagation over a series of submerged rectangular breakwaters are investigated both numerically and experimentally. A Reynolds Averaged Navier-Stokes (RANS) model combined with a k–ε turbulence closure is applied to simulate the entire vortex evolution process as water waves pass over a series of artificial rectangular bars. The Particle Image Velocimetry (PIV) is also used to measure the velocity field in the vicinity of the obstacles. The numerical model is validated through the comparisons of water surface elevation
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Arzoumanian, Sevag, and Nigel Peake. "Fluid Structure Interaction With Mean Flow: Over-Scattering and Unstable Resonance Growth." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31170.

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It is known theoretically [1–3] that infinitely long fluid loaded plates in mean flow exhibit a range of unusual phenomena in the ‘long time’ limit. These include convective instability, absolute instability and negative energy waves which are destabilized by dissipation. However, structures are necessarily of finite length and may have discontinuities. Moreover, linear instability waves can only grow over a limited number of cycles before non-linear effects become dominant. We have undertaken an analytical and computational study to investigate the response of finite, discontinuous plates to
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Wait, P. C., T. P. Newson, C. N. Pannell, and P. St J. Russell. "Experimental Measurement of Multiple Brillouin Stokes Orders in a Fibre Amplifier Under Pulsed Excitation." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/nlgwp.1993.mb.3.

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In long passive optical fibres excited by narrow linewidth sources, stimulated Brillouin scattering (SBS) is the first non-linear effect to reach threshold [1]. In optically amplifying fibre, the SBS characteristics are drastically modified, and the threshold power can reach μW levels [2]. This is particularly important in long lengths of fibre lightly doped with Erbium to provide distributed gain, as has been proposed for practical amplifier systems [3]. Above a certain threshold power, the electrostrictive phonon gain provided by interference of the forward pump and backward Stokes waves coh
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Belibassakis, K. A., and G. A. Athanassoulis. "A Fast Convergent Modal-Expansion of the Wave Potential With Application to the Hydrodynamic and Hydroelastic Analysis of Floating Bodies in General Bathymetry." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79681.

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A non-linear coupled-mode system of horizontal equations has been derived with the aid of Luke’s (1967) variational principle, modelling the evolution of nonlinear water waves in intermediate depth and over a general bathymetry Athanassoulis & Belibassakis (2002, 2008). Following previous work by the authors in the case of linearised water waves (Athanassoulis & Belibassakis 1999), the vertical structure of the wave field is exactly represented by means of a local-mode series expansion of the wave potential. This series contains the usual propagating and evanescent modes, plus two addi
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Reports on the topic "Non-Linear wave scattering"

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Lavery, Andone C. Analysis of High-Frequency Broadband Acoustic Scattering from Non-Linear Internal Waves During SW06. Defense Technical Information Center, 2009. http://dx.doi.org/10.21236/ada531378.

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Lavery, Andone C. Continued Analysis of High-Frequency Broadband Acoustic Scattering from Non-Linear Internal Waves during SW06. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada542102.

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Lavery, Andone C. High-Frequency Broadband Acoustic Scattering from Temperature and Salinity Microstructure: From Non-Linear Internal Waves to Estuarine Plumes. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada541144.

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Lavery, Andone C. Laboratory Measurements of Multi-Frequency and Broadband Acoustic Scattering from Turbulent and Double-Diffusive Microstructure. High-Frequency Broadband Acoustic Scattering from Non-Linear Internal Waves during SW06. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada521009.

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