Effective Phononic Crystals for Non-Cartesian Elastic Wave Propagation

Autor: Arretche, Ignacio, Matlack, Kathryn H.
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. B 102, 134308 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.102.134308
Popis: We introduce the concept of effective phononic crystals, which combine periodicity with varying isotropic material properties to force periodic coefficients in the elastic equations of motion in a non-Cartesian basis. Periodic coefficients allow for band structure calculation using Bloch theorem. Using the band structure, we demonstrate band gaps and topologically protected interface modes can be obtained in cylindrically propagating waves. Through effective phononic crystals, we show how behaviors of Cartesian phononic crystals can be realized in regions close to sources, where near field effects are non-negligible.
Comment: Main text: 9 pages, 3 figures Supplemental material: 6 pages, 3 figures
Databáze: arXiv