On the spectrum of a waveguide with periodic cracks

Abstract

The spectral problem on a periodic domain with cracks is studied. An asymptotic form of dispersion relations is calculated under assumption that the opening of the cracks is small.

References in corpus (1)

• Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window

Cited by in corpus (5)

• Opening up and control of spectral gaps of the Laplacian in periodic domains
• Creation of spectral bands for a periodic domain with small windows
• Example of periodic Neumann waveguide with gap in spectrum
• Gap opening and split band edges in waveguides coupled by a periodic system of small windows
• On band spectrum of Schroedinger operator in periodic system of domains coupled by small windows