Analysis of Band Structure for 2D Acoustic Phononic Structure by BEM and the Block SS Method

Abstract

By its very basis, the block Sakurai-Sugiura (SS) method may be ap- plied to solving nonlinear eigenvalue problem formulated by boundary integral equation. In this paper, the methodology of BEM combined with the block SS method is applied to the computation of band structures of phononic structures for acoustic problems. Since the conventional boundary integral equation yields the real fictitious eigenfrequencies when it is applied to an exterior problem of scatters, Burton-Miller's method is employed to remove the real fictitious eigenfrequen- cies resulted by the boundary of the scatterers. The application of the method is demonstrated through analyses of band structures of homogenous and composite structures.