Scattering of acoustic waves by cylinders with arbitrary cross sections t-matrix formulation

Abstract

In this work, the scattering of steady-state acoustic waves from arbitrarily shaped obstacles in an infinite medium is studied using the T-matrix method. The problem is examined for the two dimensional case where the obstacle is a cylindrical rigid inclusion or a cavity. An acoustic plane wave is considered to be incident on the obstacle. In the solution of the problem, both incident and scattered wave fields are expanded in series of the circular basis wave functions. The scattered wave field is then evaluated through a transition matrix (T-matrix) which relates the unknown coefficients of the scattered wave series to the coefficients of the incident wave. Numerical results pertaining to circular, elliptical, rectangular and triangular cross sections are obtained. The results are presented in graphical form and found to be in good agreement compared with the some known exact or approximate solutions available in the literature.