Wave Interaction with Subwavelength Resonators

Habib Ammari; Bryn Davies; Erik Orvehed Hiltunen; Hyundae Lee; Sanghyeon Yu

doi:10.1007/978-3-031-05321-4_3

Wave Interaction with Subwavelength Resonators

Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen, Hyundae Lee, Sanghyeon Yu

Research output: Chapter in Book/Report/Conference proceeding › Chapter

7 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	Lecture Notes in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	23-83
Number of pages	61
DOIs	https://doi.org/10.1007/978-3-031-05321-4_3
Publication status	Published - 2022

Publication series

Name	Lecture Notes in Mathematics
Volume	2308
ISSN (Print)	0075-8434
ISSN (Electronic)	1617-9692

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Metamaterials
Subwavelength resonances
Topological properties

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1007/978-3-031-05321-4_3

Cite this

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AU - Lee, Hyundae

AU - Yu, Sanghyeon

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KW - Topological properties

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Wave Interaction with Subwavelength Resonators

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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