Acoustic multiple scattering using fast iterative techniques

Acoustic multiple scattering by an arbitrary configuration of cylinders in an acoustic medium is considered. An iteratively computable Neumann series (NS) expansion technique is employed to expedite the MS solution by means of MS theory. The method works if the spectral radius of the interaction matrix is less than one. The spectral properties of this matrix are investigated for different configurations of cylinders, e.g. rigid cylinders, elastic thin shells, etc.; the validity of solution is shown by modifying the frequency w, the number of scatterers M, and their separation distance d. Fast computation of Neumann series is investigated using renormalized series expansions.