Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Pages (from-to) | 716-754 |
Journal / Publication | Studies in Applied Mathematics |
Volume | 150 |
Issue number | 3 |
Online published | 2 Jan 2023 |
Publication status | Published - Apr 2023 |
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Abstract
Given the flexibility of choosing negative elastic parameters, we construct material structures that can induce two resonance phenomena, referred to as the elastodynamical resonances. They mimic the emerging plasmon/polariton resonance and anomalous localized resonance in optics for subwavelength particles. However, we study the peculiar resonance phenomena for linear elasticity beyond the subwavelength regime. It is shown that the resonance behaviors possess distinct characters, with some similar to the subwavelength resonances, but some sharply different due to the frequency effect. It is particularly noted that we construct a core–shell material structure that can induce anomalous localized resonance as well as cloaking phenomena beyond the quasistatic limit. The study is boiled down to analyzing the so-called elastic Neumann–Poincaré (N-P) operator in the frequency regime. We provide an in-depth analysis of the spectral properties of the N-P operator on a circular domain beyond the quasistatic approximation, and these results are of independent interest to the spectral theory of layer potential operators.
Research Area(s)
- anomalous localized resonance, beyond quasistatic limit, core–shell structure, invisibility cloaking, negative materials, Neumann–Poincaré operator, spectral
Citation Format(s)
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation. / Li, Hongjie; Liu, Hongyu; Zou, Jun.
In: Studies in Applied Mathematics, Vol. 150, No. 3, 04.2023, p. 716-754.
In: Studies in Applied Mathematics, Vol. 150, No. 3, 04.2023, p. 716-754.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review