Homogenization of the spectral equation in one-dimension
Thi Trang Nguyen, Michel Lenczner, Matthieu Brassart · arXiv (Cornell University) · 2013
The asymptotic behavior of a one-dimensional spectral problem with periodic coefficient is addressed for high frequency modes by a method of Bloch wave homogenization. The analysis leads to a spectral problem including both microscopic and macroscopic eigenmodes. Numerical simulation results are provided to corroborate the theory.