Defect modes in non-Bragg resonant structures for guided surface water waves

Kundu, Joshua-Masinde; Jiang, Tao; Ma, Bo-Yang; Zhang, Jiayi; Yu, Hua; Fan, Ya-Xian

doi:10.1016/j.wavemoti.2021.102766

Cited by 3 publications

(3 citation statements)

References 24 publications

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“…Water waves have been considered for many applications, including the oil extraction, architectural design and tsunami prevention [1,[3][4][5]. Water waves have also been observed to possess the enormous forces and reserve the potential energy, which can destroy the physical facilities along the coast, but the potential energy can also be extracted and converted for some use [6,7].…”

Section: Introductionmentioning

confidence: 99%

Painlevé analysis and inelastic interactions of the lumps for a generalized (2+1)-dimensional Korteweg-de Vries system for the shallow-water waves

Liu,

Tian,

Gao

2024

Phys. Scr.

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Water waves, one of the common natural phenomena, are recognized as complexand often turbulent. A generalized (2+1)-dimensional Korteweg-de Vries system forthe shallow-water waves is conducted in this paper. We perform the Painlev´e analysisand find that the system is Painlev´e integrable. We study the inelastic interactions ofthe lumps for the system. We find that two lumps, which propagate along the curveswith the equal amplitude, are symmetric about the x axis before the interaction, wherex is a scaled spatial variable. After the interaction, amplitudes of the two lumps aredifferent, but in the process of moving, the lower lump gradually increases, while thehigher lump gradually decreases, and the velocities of two lumps at the infinity areequal. We observe two different inelastic interactions of the three lumps: (1) thethree lumps are symmetric in time and space, and they slowly contract (before theinteraction) and swell (after the interaction); (2) the three lumps slowly fuse and afterthe interaction they form a straight line forward, and their amplitudes are graduallyequal when t → ∞.

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Section: Introductionmentioning

confidence: 99%

Painlevé analysis and inelastic interactions of the lumps for a generalized (2+1)-dimensional Korteweg-de Vries system for the shallow-water waves

Liu,

Tian,

Gao

2024

Phys. Scr.

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“…The speed of transmission is determined only by the depth of the water, rather than the wavelength, and the transmission equations are similar to those of electromagnetic and acoustic waves, exhibiting similar wave dynamic characteristics [1] . As a result, similar to electromagnetic and acoustic metamaterials, speci c arti cial periodic structures can lead to extraordinary wave properties, such as band gaps [2][3][4] , negative parameters [5][6][7] , self-collimation phenomena [8][9][10] and water-wave cloaks [11][12][13][14][15][16] , in shallow-water wave systems. These unique properties enable the manipulation and focusing of shallow-water wave propagation in unconventional ways [17][18][19][20] .…”

Section: Introductionmentioning

confidence: 99%

Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves

Guan,

Xiao,

Liu

et al. 2024

Preprint

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Compared with periodic structures, quasi-periodic structures have superior band gap properties and topological interface states. In this paper, a one-dimensional quasi-periodic Fibonacci water wave metamaterial model that can be used to apply quasi-periodic structures to shallow-water wave systems is presented. The fluctuation characteristics of periodic and quasi-periodic structures are examined using finite element numerical calculations based on the shallow-water wave equation. The research results show that the band characteristics of quasi-periodic structures are complex, enabling flexible control of the propagation of shallow-water waves. Furthermore, the mirror-symmetrical design of Fibonacci quasi-periodic water wave metamaterials was created to engineer the topological interface states in shallow-water wave systems, ultimately achieving successful localization of wave energy. This research will greatly enrich our understanding of topology, expand the potential applications of quasi-periodic structures, and provide new insights for manipulating water waves and harvesting energy.

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“…The experimental findings have revealed that non-Bragg bandgaps exhibit a higher degree of wave suppression compared to Bragg bandgaps. [21][22][23][24] Furthermore, recent studies have reported the discovery of non-Bragg interfacial states within quasiperiodic systems, adding to the excitement surrounding this area of research. 25,26) Although extensive research has been conducted on the propagation characteristics of low-frequency sound waves in Fibonacci-based quasi-periodic structures, 27) investigations regarding the interaction between elastic waves and quasi-periodic structures in HF ultrasound remain scarce.…”

mentioning

confidence: 99%

Dipole-like interface states in quasi-periodic elastic waveguide based on Fibonacci sequences

Zhang,

Liu,

et al. 2024

Jpn. J. Appl. Phys.

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This paper investigates the dipole-like interface states in a quasi-periodic elastic waveguide structured according to Fibonacci sequences. The dipole-like distribution arises from the interaction of different transverse modes within the waveguide. Specifically, the non-Bragg bandgap resulting from the interaction between distinct transverse modes exhibits a stronger inhibitory effect compared to the traditional Bragg bandgap. Furthermore, our simulations reveal a notable sound field distribution on the surface of the waveguide, displaying two diametrically opposite regions with maximum sound pressures. This structure, characterized by a high Q factor, provides valuable insights into designing elastic wave applications such as filtering and wave enhancement.

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Defect modes in non-Bragg resonant structures for guided surface water waves

Cited by 3 publications

References 24 publications

Painlevé analysis and inelastic interactions of the lumps for a generalized (2+1)-dimensional Korteweg-de Vries system for the shallow-water waves

Painlevé analysis and inelastic interactions of the lumps for a generalized (2+1)-dimensional Korteweg-de Vries system for the shallow-water waves

Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves

Dipole-like interface states in quasi-periodic elastic waveguide based on Fibonacci sequences

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