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Physical Review B
This work presents a comprehensive analysis of the homogenization method recently used by Torrent et al. ͓Phys. Rev. Lett. 96, 204302 ͑2006͔͒ to get the effective parameters of two-dimensional clusters of rigid cylinders in air. Here, the method is developed by studying the scattering of sound by clusters of fluid cylinders embedded in a nonviscous fluid or gas. This general problem is studied in the long wavelength limit ͑homog-enization͒ by multiple scattering theory. Asymptotic relations aredoi:10.1103/physrevb.74.224305 fatcat:srogayetmvgczc3jam77crrkey