On the extrema of band functions in periodic waveguides |
| |
Authors: | D I Borisov K V Pankrashkin |
| |
Institution: | 1. Institute of Mathematics with Computing Center, Russian Academy of Sciences, Ufa, Russia 2. Bashkir State Pedagogical University, Ufa, Russia 3. Laboratoire de Máthematiques, Université Paris-Sud, Paris, France
|
| |
Abstract: | In the work we construct an example of a periodic differential operator whose spectrum has gaps with edges attained by the band functions at interior points of the Brillouin zone. This example is the Laplacian on a pair of infinite parallel strips with common boundary from which a periodic system of small holes is cut out. At that, on the outer boundaries the Dirichlet condition is imposed, while on the common boundary the Neumann condition is considered. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|