Acoustic coupling between finite and infinite spaces

Yuhui Tong

    Research output: ThesisDoctoral Thesis

    Abstract

    This thesis explores the non-Hermitian Hamiltonian method for open acoustic system from the perspective of the coupling between the cavity and the external space. It is shown that the acoustic coupling between finite and infinite spaces can be characterised by a non-Hermitian differential operator, known as the non-Hermitian Hamiltonian of the open system. The eigenvalue problem induced by the non-Hermitian Hamiltonian leads to a modal expansion of the sound field in terms of a series of frequency-dependent eigenmodes, allowing for investigations into the properties of acoustic scatterers and open cavities coupled with semi-infinite spaces.
    LanguageEnglish
    QualificationDoctor of Philosophy
    Awarding Institution
    • The University of Western Australia
    Award date26 Jul 2017
    DOIs
    StateUnpublished - 2017

    Fingerprint

    acoustic coupling
    cavities
    acoustics
    differential operators
    theses
    sound fields
    eigenvalues
    expansion
    scattering

    Cite this

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    title = "Acoustic coupling between finite and infinite spaces",
    abstract = "This thesis explores the non-Hermitian Hamiltonian method for open acoustic system from the perspective of the coupling between the cavity and the external space. It is shown that the acoustic coupling between finite and infinite spaces can be characterised by a non-Hermitian differential operator, known as the non-Hermitian Hamiltonian of the open system. The eigenvalue problem induced by the non-Hermitian Hamiltonian leads to a modal expansion of the sound field in terms of a series of frequency-dependent eigenmodes, allowing for investigations into the properties of acoustic scatterers and open cavities coupled with semi-infinite spaces.",
    keywords = "Open acoustic system, Non-Hermitian Hamiltonian , Bi-orthorgonal eigenmodes, Modal expansion, Scattering",
    author = "Yuhui Tong",
    year = "2017",
    doi = "10.4225/23/59a6528b346a1",
    language = "English",
    school = "The University of Western Australia",

    }

    Tong, Y 2017, 'Acoustic coupling between finite and infinite spaces', Doctor of Philosophy, The University of Western Australia. DOI: 10.4225/23/59a6528b346a1

    Acoustic coupling between finite and infinite spaces. / Tong, Yuhui.

    2017.

    Research output: ThesisDoctoral Thesis

    TY - THES

    T1 - Acoustic coupling between finite and infinite spaces

    AU - Tong,Yuhui

    PY - 2017

    Y1 - 2017

    N2 - This thesis explores the non-Hermitian Hamiltonian method for open acoustic system from the perspective of the coupling between the cavity and the external space. It is shown that the acoustic coupling between finite and infinite spaces can be characterised by a non-Hermitian differential operator, known as the non-Hermitian Hamiltonian of the open system. The eigenvalue problem induced by the non-Hermitian Hamiltonian leads to a modal expansion of the sound field in terms of a series of frequency-dependent eigenmodes, allowing for investigations into the properties of acoustic scatterers and open cavities coupled with semi-infinite spaces.

    AB - This thesis explores the non-Hermitian Hamiltonian method for open acoustic system from the perspective of the coupling between the cavity and the external space. It is shown that the acoustic coupling between finite and infinite spaces can be characterised by a non-Hermitian differential operator, known as the non-Hermitian Hamiltonian of the open system. The eigenvalue problem induced by the non-Hermitian Hamiltonian leads to a modal expansion of the sound field in terms of a series of frequency-dependent eigenmodes, allowing for investigations into the properties of acoustic scatterers and open cavities coupled with semi-infinite spaces.

    KW - Open acoustic system

    KW - Non-Hermitian Hamiltonian

    KW - Bi-orthorgonal eigenmodes

    KW - Modal expansion

    KW - Scattering

    U2 - 10.4225/23/59a6528b346a1

    DO - 10.4225/23/59a6528b346a1

    M3 - Doctoral Thesis

    ER -