Bakharev , F L , Cardone , G , Nazarov , S A & Taskinen , J 2017 , ' Effects of Rayleigh Waves on the Essential Spectrum in Perturbed Doubly Periodic Elliptic Problems ' , Integral Equations and Operator Theory , vol. 88 , no. 3 , pp. 373-386 . https://doi.org/10.1007/s00020-017-2379-5
Title: | Effects of Rayleigh Waves on the Essential Spectrum in Perturbed Doubly Periodic Elliptic Problems |
Author: | Bakharev, F. L.; Cardone, G.; Nazarov, S. A.; Taskinen, J. |
Contributor organization: | Department of Mathematics and Statistics |
Date: | 2017-07 |
Language: | eng |
Number of pages: | 14 |
Belongs to series: | Integral Equations and Operator Theory |
ISSN: | 0378-620X |
DOI: | https://doi.org/10.1007/s00020-017-2379-5 |
URI: | http://hdl.handle.net/10138/312496 |
Abstract: | We give an example of a scalar second order differential operator in the plane with double periodic coefficients and describe its modification, which causes an additional spectral band in the essential spectrum. The modified operator is obtained by applying to the coefficients a mirror reflection with respect to a vertical or horizontal line. This change gives rise to Rayleigh type waves localized near the line. The results are proven using asymptotic analysis, and they are based on high contrast of the coefficient functions. |
Subject: |
Periodic media
Open waveguides High contrast of coefficients Asymptotics Spectral bands DIFFERENTIAL-EQUATIONS RADIATION CONDITIONS GUIDES MEDIA 111 Mathematics |
Peer reviewed: | Yes |
Usage restriction: | openAccess |
Self-archived version: | acceptedVersion |
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