On the completeness and orthogonality of the acoustic modes of an open cavity

James Leader, Jie Pan

    Research output: Chapter in Book/Conference paperConference paper

    1 Citation (Scopus)

    Abstract

    The modal representation of closed acoustical systems such as rooms and enclosures is well known and is commonly used to find the forced response at a given frequency as the superposition of the modes. In open systems such as parallel noise barriers, open enclosures or reactive type duct mufflers, the modal representation may be incomplete due to radiation losses encompassed by the imaginary part of the eigensolution. This has been declared as an open problem in the literature, with sound field predictions being found accurate only at the resonant frequencies. In the present study, the completeness and orthogonality of the quasinormal modes is investigated using the example of a two-dimensional open cavity system.
    Original languageEnglish
    Title of host publicationProceedings of Acoustics 2015 Hunter Valley
    Place of PublicationAustralia
    PublisherAustralian Acoustical Society
    Pages71-81
    Volume1
    Publication statusPublished - 2015
    EventOn the Completeness and Orthogonality of the Acoustic Modes of an Open Cavity - Hunter Valley, NSW
    Duration: 1 Jan 2015 → …

    Conference

    ConferenceOn the Completeness and Orthogonality of the Acoustic Modes of an Open Cavity
    Period1/01/15 → …

    Fingerprint

    orthogonality
    completeness
    enclosure
    mufflers
    cavities
    acoustics
    sound fields
    ducts
    rooms
    resonant frequencies
    radiation
    predictions

    Cite this

    Leader, J., & Pan, J. (2015). On the completeness and orthogonality of the acoustic modes of an open cavity. In Proceedings of Acoustics 2015 Hunter Valley (Vol. 1, pp. 71-81). Australia: Australian Acoustical Society.
    Leader, James ; Pan, Jie. / On the completeness and orthogonality of the acoustic modes of an open cavity. Proceedings of Acoustics 2015 Hunter Valley. Vol. 1 Australia : Australian Acoustical Society, 2015. pp. 71-81
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    abstract = "The modal representation of closed acoustical systems such as rooms and enclosures is well known and is commonly used to find the forced response at a given frequency as the superposition of the modes. In open systems such as parallel noise barriers, open enclosures or reactive type duct mufflers, the modal representation may be incomplete due to radiation losses encompassed by the imaginary part of the eigensolution. This has been declared as an open problem in the literature, with sound field predictions being found accurate only at the resonant frequencies. In the present study, the completeness and orthogonality of the quasinormal modes is investigated using the example of a two-dimensional open cavity system.",
    author = "James Leader and Jie Pan",
    year = "2015",
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    Leader, J & Pan, J 2015, On the completeness and orthogonality of the acoustic modes of an open cavity. in Proceedings of Acoustics 2015 Hunter Valley. vol. 1, Australian Acoustical Society, Australia, pp. 71-81, On the Completeness and Orthogonality of the Acoustic Modes of an Open Cavity, 1/01/15.

    On the completeness and orthogonality of the acoustic modes of an open cavity. / Leader, James; Pan, Jie.

    Proceedings of Acoustics 2015 Hunter Valley. Vol. 1 Australia : Australian Acoustical Society, 2015. p. 71-81.

    Research output: Chapter in Book/Conference paperConference paper

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    Leader J, Pan J. On the completeness and orthogonality of the acoustic modes of an open cavity. In Proceedings of Acoustics 2015 Hunter Valley. Vol. 1. Australia: Australian Acoustical Society. 2015. p. 71-81