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**Harvard**

Van der Aa, B. och Forssén, J. (2015) *The 2.5D MST for sound propagation through an array of acoustically rigid cylinders perpendicular to an impedance surface*.

** BibTeX **

@article{

Van der Aa2015,

author={Van der Aa, Bart and Forssén, Jens},

title={The 2.5D MST for sound propagation through an array of acoustically rigid cylinders perpendicular to an impedance surface},

journal={Journal of Physics D-Applied Physics},

issn={0022-3727},

volume={48},

issue={29},

abstract={In this work a study of sound propagation through arrays of semi-infinitely long cylinders placed perpendicular to an impedance surface has been carried out. The cross sections of the structures are assumed to be invariant along the main axis of the cylinders, and the cylinders are considered rigid. It is further assumed that the structures are insonified by a monopole source placed above the impedance surface. To study such configurations, we introduce the two-and-a-half-dimensional multiple scattering theory (2.5D MST), which essentially solves the pressure in a three-dimensional domain by post-processing a set of precomputed solutions obtained in a two-dimensional domain. The total pressure can then be obtained by complex addition of four contributions: source-to-receiver, source-to-array-to-receiver, image source-to-receiver, and image source-to-array-to-receiver. The proposed method is validated using both analytical and numerical tools, showing very good agreement for all studied cases. Among other things, we show that a cylinder array placed on top of flat rigid ground can deteriorate the ground interference dips that exist without the array. In addition, we show that the characteristic response of the cylinder array, i.e. in terms of pass and stop bands, may be shifted up in frequency due to a projection phenomenon, which happens when the source or receiver is elevated along the main axis of the cylinders.},

year={2015},

keywords={outdoor sound propagation, sonic crystals, multiple scattering theory, 2.5D transform},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 220072

A1 Van der Aa, Bart

A1 Forssén, Jens

T1 The 2.5D MST for sound propagation through an array of acoustically rigid cylinders perpendicular to an impedance surface

YR 2015

JF Journal of Physics D-Applied Physics

SN 0022-3727

VO 48

IS 29

AB In this work a study of sound propagation through arrays of semi-infinitely long cylinders placed perpendicular to an impedance surface has been carried out. The cross sections of the structures are assumed to be invariant along the main axis of the cylinders, and the cylinders are considered rigid. It is further assumed that the structures are insonified by a monopole source placed above the impedance surface. To study such configurations, we introduce the two-and-a-half-dimensional multiple scattering theory (2.5D MST), which essentially solves the pressure in a three-dimensional domain by post-processing a set of precomputed solutions obtained in a two-dimensional domain. The total pressure can then be obtained by complex addition of four contributions: source-to-receiver, source-to-array-to-receiver, image source-to-receiver, and image source-to-array-to-receiver. The proposed method is validated using both analytical and numerical tools, showing very good agreement for all studied cases. Among other things, we show that a cylinder array placed on top of flat rigid ground can deteriorate the ground interference dips that exist without the array. In addition, we show that the characteristic response of the cylinder array, i.e. in terms of pass and stop bands, may be shifted up in frequency due to a projection phenomenon, which happens when the source or receiver is elevated along the main axis of the cylinders.

LA eng

DO 10.1088/0022-3727/48/29/295501

LK http://dx.doi.org/10.1088/0022-3727/48/29/295501

OL 30