TY - CHAP
T1 - Wave Interaction with Subwavelength Resonators
AU - Ammari, Habib
AU - Davies, Bryn
AU - Hiltunen, Erik Orvehed
AU - Lee, Hyundae
AU - Yu, Sanghyeon
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials is reported, which provides a mathematical framework for focusing, trapping, and guiding of waves at subwavelength scales. Throughout this review, the power of layer potential techniques combined with asymptotic analysis for solving challenging wave propagation problems at subwavelength scales is demonstrated.
AB - The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials is reported, which provides a mathematical framework for focusing, trapping, and guiding of waves at subwavelength scales. Throughout this review, the power of layer potential techniques combined with asymptotic analysis for solving challenging wave propagation problems at subwavelength scales is demonstrated.
KW - Metamaterials
KW - Subwavelength resonances
KW - Topological properties
UR - http://www.scopus.com/inward/record.url?scp=85135064942&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-05321-4_3
DO - 10.1007/978-3-031-05321-4_3
M3 - Chapter
AN - SCOPUS:85135064942
T3 - Lecture Notes in Mathematics
SP - 23
EP - 83
BT - Lecture Notes in Mathematics
PB - Springer Science and Business Media Deutschland GmbH
ER -