Robust edge modes in dislocated systems of subwavelength resonators
File(s)
OA Location
Author(s)
Ammari, Habib
Davies, Bryn
Hiltunen, Erik Orvehed
Type
Journal Article
Abstract
Robustly manipulating waves on subwavelength scales can be achieved by, first, designing a structure with a subwavelength band gap and, second, introducing a defect so that eigenfrequencies fall within the band gap. Such frequencies are well known to correspond to localized modes. We study a one-dimensional array of subwavelength resonators, prove that there is a subwavelength band gap, and show that by introducing a dislocation we can place localized modes at any point within the band gap. We complement this analysis by studying the stability properties of the corresponding finite array of resonators, demonstrating the value of being able to customize the position of eigenvalues within the band gap
Date Issued
2022-10-01
Date Acceptance
2022-02-14
Citation
Journal of the London Mathematical Society, 2022, 106 (3), pp.2075-2135
ISSN
0024-6107
Publisher
Wiley
Start Page
2075
End Page
2135
Journal / Book Title
Journal of the London Mathematical Society
Volume
106
Issue
3
Copyright Statement
© 2022 The Authors.Journal ofthe London Mathematical Societyis copyright © London Mathematical Society. This is an open access articleunder the terms of theCreative Commons Attribution-NonCommercialLicense, which permits use, distribution and reproduction in anymedium, provided the original work is properly cited and is not used for commercial purposes
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000789580200001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
SCHRODINGER OPERATOR
SPECTRAL PROPERTIES
LOCALIZED MODES
ACOUSTIC-WAVES
STATES
SCATTERING
RESONANCE
CRYSTAL
PHASE
Publication Status
Published
Date Publish Online
2022-04-22