Algebra of 2D periodic operators with local and perpendicular defects

作者：Kutsenko Anton A^*

来源：Journal of Mathematical Analysis and Applications, 2016, 442(2): 796-803.

DOI：10.1016/j.jmaa.2016.05.015

• Periodic lattice with defects
• Floquet-Bloch spectrum
• Guided and localized waves
• Operator algebras

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.

• 出版日期2016-10-15