2022
DOI: 10.1017/jfm.2022.302
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Rainbow reflection and broadband energy absorption of water waves by graded arrays of vertical barriers

Abstract: The rainbow reflection effect describes the broadband spatial separation of wave spectral components caused by a spatially graded array of resonators. Although mainly studied in optics and acoustics, this phenomenon has recently been demonstrated both theoretically and experimentally for water waves travelling through an array of vertical cylinders. The scattering of two-dimensional linear water waves by an array of vertical, surface-piercing barriers is considered here, in which both the submergence and spaci… Show more

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Cited by 24 publications
(27 citation statements)
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“…For example, the methods described by Porter (2020) could be used to transform the scattering process into an ordinary differential equation in the continuum limit as a means of qualitatively understanding the onset of resonance/rainbow reflection in graded arrays such as those described by Wilks et al. (2022).…”
Section: Discussionmentioning
confidence: 99%
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“…For example, the methods described by Porter (2020) could be used to transform the scattering process into an ordinary differential equation in the continuum limit as a means of qualitatively understanding the onset of resonance/rainbow reflection in graded arrays such as those described by Wilks et al. (2022).…”
Section: Discussionmentioning
confidence: 99%
“…More recently, Wilks, Montiel & Wakes (2022) have considered larger arrays of closely spaced barriers whose submergence increases gradually in the direction of the incident wave, i.e. so-called ‘graded array’.…”
Section: Introductionmentioning
confidence: 99%
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