Acoustic scattering by a cluster of small sound-soft obstacles

作者：Argatov Ivan I; Sabina Federico J^*

来源：Wave Motion, 2010, 47(8): 537-551.

DOI：10.1016/j.wavemoti.2010.04.001

• Acoustic wave propagation
• Multiple scattering
• Sound-soft obstacles
• Asymptotic models

The scattering problem of an incident plane sound wave by a finite number of small sound-soft arbitrarily shaped obstacles is considered First we study the case of multiple scattering in the long wave limit By analogy with Greenwood s approximation for the electrical constriction resistance of a circular cluster of microcontacts we obtain an approximation for the harmonic capacity of a system of a large number of small sound-soft obstacles grouped into a spherical cluster We generalize Greenwood s approach for the case of an arbitrary convex cluster and as a by-product of our analysis we elicit an approximate formula for the harmonic capacity of a convex solid The study of the general case of multiple scattering by a cluster of small soft-sound obstacles is based on the first order asymptotic model obtained in our previous paper We use the method

• 出版日期2010-12