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Parametric Anomaly of the Phonon Spectrum of a Thin Free-Standing Membrane

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dc.contributor.author COJOCARU, Sergiu
dc.date.accessioned 2023-11-03T09:04:06Z
dc.date.available 2023-11-03T09:04:06Z
dc.date.issued 2023
dc.identifier.citation COJOCARU, Sergiu. Parametric Anomaly of the Phonon Spectrum of a Thin Free-Standing Membrane. In: 6th International Conference on Nanotechnologies and Biomedical Engineering: proc. of ICNBME-2023, 20–23, 2023, Chisinau, vol. 1: Nanotechnologies and Nano-biomaterials for Applications in Medicine, 2023, p. 182-190. ISBN 978-3-031-42774-9. e-ISBN 978-3-031-42775-6. en_US
dc.identifier.isbn 978-3-031-42774-9
dc.identifier.isbn 978-3-031-42775-6
dc.identifier.uri https://doi.org/10.1007/978-3-031-42775-6_20
dc.identifier.uri http://repository.utm.md/handle/5014/24624
dc.description Acces full text - https://doi.org/10.1007/978-3-031-42775-6_20 en_US
dc.description.abstract We consider modification of the acoustic Rayleigh-Lamb phonon spectrum in a thin homogeneous membrane upon variation of parameters characterizing the medium. It is emphasized that single-valued parametric dependence of the frequency-wavenumber spectrum is related to the performance of acoustic sensing applications and a single layer membrane has been known to fully support this requirement. To capture the behavior in the full three-dimensional parametric space of the considered basic structure we analyze the solutions in terms of variables scaled with material parameters. The main finding is that not all the branches of the spectrum demonstrate the regular monotonic evolution in the parametric space (e.g., an increase of the bulk velocity is associated with an increase of the phonon eigenfrequencies). Thus, the resonance frequencies of a whole range of phonon modes are shown to decrease if the bulk velocity of the propagation medium is increased. It is noteworthy that the respective anomalous branches, S1 and A2, are the ones which show the strongest dispersion anomalies, like zero group velocity and backward wave propagation. However, the anomalous parametric variation of the spectrum is located in the region of shorter wavelengths than the dispersion anomaly of the same branches. So that the “abnormal” parametric behavior is observed for the modes on the S1 and A2 branches which a have a “normal”, i.e., positive group velocity. en_US
dc.language.iso en en_US
dc.publisher Springer Nature Switzerland en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject ultrathin layers en_US
dc.subject vibration spectra en_US
dc.subject Rayleigh-Lamb phonon modes en_US
dc.subject free-standing membranes en_US
dc.title Parametric Anomaly of the Phonon Spectrum of a Thin Free-Standing Membrane en_US
dc.type Article en_US


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  • 2023
    6th International Conference on Nanotechnologies and Biomedical Engineering, September 20–23, 2023, Chisinau, Moldova

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Attribution-NonCommercial-NoDerivs 3.0 United States Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States

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