View in EDS

Rayleigh–Bloch waves above the cutoff.

Saved in:
Bibliographic Details
Title: Rayleigh–Bloch waves above the cutoff.
Authors: Bennetts, Luke G.1 luke.bennetts@adelaide.edu.au, Peter, Malte A.2,3
Source: Journal of Fluid Mechanics. 6/10/2022, Vol. 940, pA35-1-A35-13. 13p.
Subjects: Wavenumber, Gravity waves, Schrödinger operator, Scattering (Physics)
Abstract: Extensions of Rayleigh–Bloch waves above the cutoff frequency are studied via the discrete spectrum of a transfer operator for a channel containing a single cylinder with quasi-periodic side-wall conditions. Above the cutoff, the Rayleigh–Bloch wavenumber becomes complex valued and an additional wavenumber appears. For small- to intermediate-radius values, the extended Rayleigh–Bloch waves are shown to connect the Neumann and Dirichlet trapped modes before embedding in the continuous spectrum. A homotopy method involving an artificial damping term is proposed to identify the discrete spectrum close to the embedding. Moreover, Rayleigh–Bloch waves vanish beyond some frequency but reappear at higher frequencies for small and large cylinders. The existence and properties of the Rayleigh–Bloch waves are connected with finite-array resonances. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 157825912
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Rayleigh–Bloch waves above the cutoff.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bennetts%2C+Luke+G%2E%22">Bennetts, Luke G.</searchLink><relatesTo>1</relatesTo><i> luke.bennetts@adelaide.edu.au</i><br /><searchLink fieldCode="AR" term="%22Peter%2C+Malte+A%2E%22">Peter, Malte A.</searchLink><relatesTo>2,3</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 6/10/2022, Vol. 940, pA35-1-A35-13. 13p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Wavenumber%22">Wavenumber</searchLink><br /><searchLink fieldCode="DE" term="%22Gravity+waves%22">Gravity waves</searchLink><br /><searchLink fieldCode="DE" term="%22Schrödinger+operator%22">Schrödinger operator</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+%28Physics%29%22">Scattering (Physics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Extensions of Rayleigh–Bloch waves above the cutoff frequency are studied via the discrete spectrum of a transfer operator for a channel containing a single cylinder with quasi-periodic side-wall conditions. Above the cutoff, the Rayleigh–Bloch wavenumber becomes complex valued and an additional wavenumber appears. For small- to intermediate-radius values, the extended Rayleigh–Bloch waves are shown to connect the Neumann and Dirichlet trapped modes before embedding in the continuous spectrum. A homotopy method involving an artificial damping term is proposed to identify the discrete spectrum close to the embedding. Moreover, Rayleigh–Bloch waves vanish beyond some frequency but reappear at higher frequencies for small and large cylinders. The existence and properties of the Rayleigh–Bloch waves are connected with finite-array resonances. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=157825912
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1017/jfm.2022.247
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: A35-1
    Subjects:
      – SubjectFull: Wavenumber
        Type: general
      – SubjectFull: Gravity waves
        Type: general
      – SubjectFull: Schrödinger operator
        Type: general
      – SubjectFull: Scattering (Physics)
        Type: general
    Titles:
      – TitleFull: Rayleigh–Bloch waves above the cutoff.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bennetts, Luke G.
      – PersonEntity:
          Name:
            NameFull: Peter, Malte A.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 10
              M: 06
              Text: 6/10/2022
              Type: published
              Y: 2022
          Identifiers:
            – Type: issn-print
              Value: 00221120
          Numbering:
            – Type: volume
              Value: 940
          Titles:
            – TitleFull: Journal of Fluid Mechanics
              Type: main
ResultId 1