Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays

Details Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays

2001-04-15

arxiv.org/abs/cond-mat/0104271v1

Phys. Rev. E. 64, 036616 (2001)

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 4 pages

Scientific paper

10.1103/PhysRevE.64.036616

This paper presents a theoretical analysis of the recently reported observation of acoustic stop bands in two-dimensional scattering arrays (Robertson and Rudy, J. Acoust. Soc. Am. {\bf 104}, 694, 1998). A self-consistent wave scattering theory, incorporating all orders of multiple scattering, is used to obtain the wave transmission. The band structures for the regular arrays of cylinders are computed using the plane wave expansion method. The theoretical results compare favorably with the experimental data.

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