Algebra of 2D periodic operators with local and perpendicular defects

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:442

Article

Kutsenko, Anton A.¹ 

[1] Aarhus Univ, Dept Math, DK-8000 Aarhus, Denmark

关键词: Periodic lattice with defects;    Floquet-Bloch spectrum;    Guided and localized waves;    Operator algebras;   

DOI  :  10.1016/j.jmaa.2016.05.015

来源: Elsevier

【 摘 要 】

We show that 2D periodic operators with local and perpendicular defects form an algebra. We provide an algorithm for finding spectrum for such operators. While the continuous spectral components can be computed by simple algebraic operations on some matrix-valued functions and a few number of integrations, the discrete part is much more complicated. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free