Phononic crystals: acoustic wave control

Modern researches in the field of acoustic metamaterials, in particular, phonon crystals, are considered. A preliminary numerical simulation of a phonon crystal with a periodically changing cross-section is carried out. It is shown that under certain conditions the phonon crystal acquires the properties of an acoustic filter. The obtained results can be considered as a scientific groundwork in this direction of research and considered, first of all, from the point of view of the problems of modern acoustics in the development of new acoustic waveguides, sound absorbers, filters and acoustic metamaterials. Detailed analysis can be done for phonon crystals of any geometry (one-dimensional, 2D and 3D) in different frequency regions of the acoustic spectrum.