2000/04/18 by I. E. Psarobas, N. Stefanou, N. Stéfanou +1 · 2 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Acoustic Wave Phenomena Research #Computational physics #Condensed matter physics #Crystal (programming language) #Formalism (music) #Geometry #Materials science #Mathematics #Optics #Photonic crystal #Physics #Plane (geometry) #Plane wave #Plane wave expansion method #Reflection (computer programming) #SPHERES #Scattering #Seismic Waves and Analysis #Slab #Transverse plane #Underwater Acoustics Research #cond-mat.dis-nn #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.62.278
published as PRB 62,278(2000) · 19 pages, 5 figures, Phys. Rev. B (in press)
arxiv created 2000/04/18 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop a formalism for the calculation of the frequency band structure of a phononic crystal consisting of nonoverlapping elastic spheres, characterized by Lam'e coefficients which may be complex and frequency dependent, arranged periodically in a host medium with different mass density and Lam'e coefficients. We view the crystal as a sequence of planes of spheres, parallel to and having the two-dimensional periodicity of a given crystallographic plane, and obtain the complex band structure of the infinite crystal associated with this plane. The method allows one to calculate, also, the transmission, reflection, and absorption coefficients for an elastic wave (longitudinal or transverse) incident, at any angle, on a slab of the crystal of finite thickness. We demonstrate the efficiency of the method by applying it to a specific example.