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 |
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Title of host publication | Lecture Notes in Mathematics |
Publisher | Springer Science and Business Media Deutschland GmbH |
Pages | 23-83 |
Number of pages | 61 |
DOIs | |
Publication status | Published - 2022 |
Publication series
Name | Lecture Notes in Mathematics |
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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