Landscape of wave focusing and localization at low frequencies
Author(s)
Davies, Bryn
Lou, Yiqi
Type
Journal Article
Abstract
High-contrast scattering problems are special among classical wave systems as they allow for strong wave focusing and localization at low frequencies. We use an asymptotic framework to develop a landscape theory for high-contrast systems that resonate in a subwavelength regime. Our from-first-principles asymptotic analysis yields a characterization in terms of the generalized capacitance matrix, giving a discrete approximation of the three-dimensional scattering problem. We develop landscape theory for the generalized capacitance matrix and use it to predict the positions of three-dimensional wave focusing and localization in random and non-periodic systems of subwavelength resonators.
Date Issued
2024-02
Date Acceptance
2023-11-20
Citation
Studies in Applied Mathematics, 2024, 152 (2), pp.760-777
ISSN
0022-2526
Publisher
Wiley
Start Page
760
End Page
777
Journal / Book Title
Studies in Applied Mathematics
Volume
152
Issue
2
Copyright Statement
© 2023 The Authors. Studies in Applied Mathematics published by Wiley Periodicals LLC.
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
License URL
Identifier
http://dx.doi.org/10.1111/sapm.12659
Publication Status
Published
Date Publish Online
2023-11-28