Phononic band structure of an acoustic waveguide that behaves as a phononic crystal

A local radial basis function collocation method for band structure computation of 3D phononic crystals

“…In order to validate the accuracy of the proposed method, a 0.4×0.4×0.4 scatterer embedded in a 1×1×1 cubic unit cell is modelled first, but with the same material for the scatterer and the inclusion. For this special case, there exists an analytical dispersion relation [44]:…”