Bound states in the continuum and Fano resonances in subwavelength
resonator arrays
resonator arrays
File(s)
Accepted version
Author(s)
Ammari, Habib
Davies, Bryn
Hiltunen, Erik Orvehed
Lee, Hyundae
Yu, Sanghyeon
Type
Journal Article
Abstract
When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be excited by incident waves from the far field. In this work, we use layer-potential techniques to prove the existence of such states, known as bound states in the continuum, in systems of subwavelength resonators. When the symmetry is slightly broken, this resonant state can be excited from the far field. Remarkably, this may create asymmetric (Fano-type) scattering behavior where the transmission is fundamentally different for frequencies on either side of the resonant frequency. Using asymptotic analysis, we compute the scattering matrix of the system explicitly, thereby characterizing this Fano-type transmission anomaly.
Date Issued
2021-10-01
Date Acceptance
2021-09-12
Citation
Journal of Mathematical Physics, 2021, 62 (10)
ISSN
0022-2488
Publisher
American Institute of Physics
Journal / Book Title
Journal of Mathematical Physics
Volume
62
Issue
10
Copyright Statement
© 2021 Author(s). Published under an exclusive license by AIP Publishing.
Identifier
http://arxiv.org/abs/2103.12470v1
Subjects
math.AP
math.AP
physics.optics
35J05, 35C20, 35P20, 35P30
Notes
25 pages, 8 figures
Publication Status
Published
Article Number
ARTN 101506
Date Publish Online
2021-10-12