TY - JOUR
T1 - Bound states in the continuum and Fano resonances in subwavelength resonator arrays
AU - Ammari, Habib
AU - Davies, Bryn
AU - Hiltunen, Erik Orvehed
AU - Lee, Hyundae
AU - Yu, Sanghyeon
N1 - Funding Information:
The work of H.L. was supported by the National Research Fund of Korea (NRF) (Grant No. 2018R1D1A1B07042678). The work of S.Y. was supported by the National Research Fund of Korea (NRF) (Grant No. 2020R1C1C1A01010882).
Publisher Copyright:
© 2021 Author(s).
PY - 2021/10/1
Y1 - 2021/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85117068084&partnerID=8YFLogxK
U2 - 10.1063/5.0051292
DO - 10.1063/5.0051292
M3 - Article
AN - SCOPUS:85117068084
SN - 0022-2488
VL - 62
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 10
M1 - 101506
ER -