2 research outputs found
Acoustic Attenuation by Two-dimensional Arrays of Rigid Cylinders
In this Letter, we present a theoretical analysis of the acoustic
transmission through two-dimensional arrays of straight rigid cylinders placed
parallelly in the air. Both periodic and completely random arrangements of the
cylinders are considered. The results for the sound attenuation through the
periodic arrays are shown to be in a remarkable agreement with the reported
experimental data. As the arrangement of the cylinders is randomized, the
transmission is significantly reduced for a wider range of frequencies. For the
periodic arrays, the acoustic band structures are computed by the plane-wave
expansion method and are also shown to agree with previous results.Comment: 4 pages, 3 figure
Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays
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.Comment: 18 pages, 4 page