Iterative calculation of reflected and transmitted acoustic waves at a rough interface

Arthur P. Berkhoff, P.M. van den Berg, J.M. Thijssen

    Research output: Contribution to journalArticleAcademicpeer-review

    6 Citations (Scopus)
    43 Downloads (Pure)

    Abstract

    A rigorous iterative technique is described for calculating the acoustic wave reflection and transmission at an irregular interface between two different media. The method is based upon a plane-wave expansion technique in which the acoustic field equations and the radiation condition are satisfied analytically, while the boundary conditions at the interface are satisfied numerically. The latter is accomplished by an iterative minimization of the integrated squared error in the boundary conditions by a conjugate gradient technique, leading to a converging and relatively simple scheme. The plane interface result can be used as starting value. Although in principle the method is rigorous, numerical examples show that in practice there is a lower bound on the error in the boundary conditions which can be achieved
    Original languageUndefined
    Article number10.1109/58.393109
    Pages (from-to)663-671
    Number of pages9
    JournalIEEE transactions on ultrasonics, ferroelectrics and frequency control
    Volume42
    Issue number4
    DOIs
    Publication statusPublished - Jul 1995

    Keywords

    • acoustic wave reflection
    • acoustic wave transmission
    • Acoustic field
    • conjugate gradient methods
    • IR-64791
    • EWI-12810

    Cite this

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    title = "Iterative calculation of reflected and transmitted acoustic waves at a rough interface",
    abstract = "A rigorous iterative technique is described for calculating the acoustic wave reflection and transmission at an irregular interface between two different media. The method is based upon a plane-wave expansion technique in which the acoustic field equations and the radiation condition are satisfied analytically, while the boundary conditions at the interface are satisfied numerically. The latter is accomplished by an iterative minimization of the integrated squared error in the boundary conditions by a conjugate gradient technique, leading to a converging and relatively simple scheme. The plane interface result can be used as starting value. Although in principle the method is rigorous, numerical examples show that in practice there is a lower bound on the error in the boundary conditions which can be achieved",
    keywords = "acoustic wave reflection, acoustic wave transmission, Acoustic field, conjugate gradient methods, IR-64791, EWI-12810",
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    Iterative calculation of reflected and transmitted acoustic waves at a rough interface. / Berkhoff, Arthur P.; van den Berg, P.M.; Thijssen, J.M.

    In: IEEE transactions on ultrasonics, ferroelectrics and frequency control, Vol. 42, No. 4, 10.1109/58.393109, 07.1995, p. 663-671.

    Research output: Contribution to journalArticleAcademicpeer-review

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    T1 - Iterative calculation of reflected and transmitted acoustic waves at a rough interface

    AU - Berkhoff, Arthur P.

    AU - van den Berg, P.M.

    AU - Thijssen, J.M.

    PY - 1995/7

    Y1 - 1995/7

    N2 - A rigorous iterative technique is described for calculating the acoustic wave reflection and transmission at an irregular interface between two different media. The method is based upon a plane-wave expansion technique in which the acoustic field equations and the radiation condition are satisfied analytically, while the boundary conditions at the interface are satisfied numerically. The latter is accomplished by an iterative minimization of the integrated squared error in the boundary conditions by a conjugate gradient technique, leading to a converging and relatively simple scheme. The plane interface result can be used as starting value. Although in principle the method is rigorous, numerical examples show that in practice there is a lower bound on the error in the boundary conditions which can be achieved

    AB - A rigorous iterative technique is described for calculating the acoustic wave reflection and transmission at an irregular interface between two different media. The method is based upon a plane-wave expansion technique in which the acoustic field equations and the radiation condition are satisfied analytically, while the boundary conditions at the interface are satisfied numerically. The latter is accomplished by an iterative minimization of the integrated squared error in the boundary conditions by a conjugate gradient technique, leading to a converging and relatively simple scheme. The plane interface result can be used as starting value. Although in principle the method is rigorous, numerical examples show that in practice there is a lower bound on the error in the boundary conditions which can be achieved

    KW - acoustic wave reflection

    KW - acoustic wave transmission

    KW - Acoustic field

    KW - conjugate gradient methods

    KW - IR-64791

    KW - EWI-12810

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    DO - 10.1109/58.393109

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    JO - IEEE transactions on ultrasonics, ferroelectrics and frequency control

    JF - IEEE transactions on ultrasonics, ferroelectrics and frequency control

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