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

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

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    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

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