Wave Interaction with Subwavelength Resonators

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

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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 languageEnglish
    Title of host publicationLecture Notes in Mathematics
    PublisherSpringer Science and Business Media Deutschland GmbH
    Pages23-83
    Number of pages61
    DOIs
    Publication statusPublished - 2022

    Publication series

    NameLecture Notes in Mathematics
    Volume2308
    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

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