Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Numerical Mathematics Group
Date
2014-12-03Online Publication Date
2014-12-03Print Publication Date
2014-01Permanent link to this record
http://hdl.handle.net/10754/333681
Metadata
Show full item recordAbstract
We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with constant impedance exhibit no effective dispersion. We show that a new kind of effective dispersion may arise in two dimensions, even in materials with constant impedance. This dispersion is a macroscopic effect of microscopic diffraction caused by spatial variation in the sound speed. We analyze this dispersive effect by using highorder homogenization to derive an anisotropic, dispersive effective medium. We generalize to two dimensions a homogenization approach that has been used previously for one-dimensional problems. Pseudospectral solutions of the effective medium equations agree to high accuracy with finite volume direct numerical simulations of the variable-coeffi cient equations.Citation
Quezada de Luna, M., & Ketcheson, D. I. (2014). Two-Dimensional Wave Propagation in Layered Periodic Media. SIAM Journal on Applied Mathematics, 74(6), 1852–1869. doi:10.1137/130937962arXiv
1309.6666ae974a485f413a2113503eed53cd6c53
10.1137/130937962