Elastic and acoustic wave band structure

TL;DR: In this article, a Dirichlet-to-Neumann (DtN) map is constructed using cylindrical wave expansion in a unit cell to compute the bandgaps of two-dimensional phononic crystals.

TL;DR: In this article , a periodic media is considered, which due to the assumption of length scale separation, allows the dispersion relations to be obtained by analyzing a single unit cell subjected to Floquet-Bloch boundary conditions.

TL;DR: The analytically predicted results of the band edges, including the frequency where the double negative properties appear, and the numerical ones are generally in good agreement have relevant engineering applications of the elastic metamaterials in the low frequency range.

TL;DR: In this paper, the authors investigated flexural wave band gaps in locally resonant metamaterials (LRMs) with a plate-like resonator to exploit its advantages with respect to large design freedom.

TL;DR: In this article, a simple model for spin diffusion or conduction in the "impurity band" is presented, which involves transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites.

TL;DR: A new mechanism for strong Anderson localization of photons in carefully prepared disordered dielectric superlattices with an everywhere real positive dielectrics constant is described.

TL;DR: In this article, a review of the progress made in the last several years in understanding the properties of disordered electronic systems is presented, focusing on the metal-to-insulator transition and problems associated with the insulator.