Scattering of elastic waves by elastic spheres in a NaCltype phononic crystal
Abstract
Based on the formalism developed by Psarobas [Phys. Rev. B 62, 278 (2000)], using the multiplescattering theory to calculate properties of simple phononic crystals, we propose a very simple method to study NaCltype phononic crystals. The NaCltype phononic crystal consists of two kinds of nonoverlapping elastic spheres with different mass densities, Láme coefficients, and radius following the same periodicity of the ions in real NaCl crystals. We focus on the (001) surface and view the crystal as a sequence of planes of spheres, each plane of spheres having identical twodimenssional periodicity. We obtained the complex band structure of the infinite crystal associated with this plane and also calculated 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.
 Publication:

Physical Review B
 Pub Date:
 January 2007
 DOI:
 10.1103/PhysRevB.75.024306
 arXiv:
 arXiv:condmat/0610434
 Bibcode:
 2007PhRvB..75b4306C
 Keywords:

 63.20.e;
 43.35.+d;
 Phonons in crystal lattices;
 Ultrasonics quantum acoustics and physical effects of sound;
 Condensed Matter  Materials Science
 EPrint:
 15 pages, 6 figures