Localised modes due to defects in high contrast periodic media via two-scale homogenization

• Published in: arXiv.org
• Main Authors: Kamotski, I V, Smyshlyaev, V P
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 10.01.2018
• Subjects: Asymptotic methods; Asymptotic series; Boundary layers; Defects; Dependence; Eigenvalues; Eigenvectors; Homogenization; Periodic variations; Spectra

The spectral problem for an infinite periodic medium perturbed by a compact defect is considered. For a high contrast small \(\ve\)-size periodicity and a finite size defect we consider the critical \(\ve^2\)-scaling for the contrast. We employ (high contrast) two-scale homogenization for deriving a...