HONEYCOMB-LATTICE MINNAERT BUBBLES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ammari, Habib | - |
dc.contributor.author | Fitzpatrick, Brian | - |
dc.contributor.author | Hiltunen, Erik Orvehed | - |
dc.contributor.author | Lee, Hyundae | - |
dc.contributor.author | Yu, Sanghyeon | - |
dc.date.accessioned | 2021-08-31T16:12:48Z | - |
dc.date.available | 2021-08-31T16:12:48Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/59049 | - |
dc.description.abstract | The ability to manipulate the propagation of waves on subwavelength scales is important for many different physical applications. In this paper, we consider a honeycomb-lattice of subwavelength resonators and prove, for the first time, the existence of a Dirac dispersion cone at subwavelength scales. As shown in [Ammari, Hiltunen, and Yu, Arch. Ration. Mech. Anal., 238 (2020), pp. 1559-1583], near the Dirac points, the use of honeycomb crystals of subwavelength vi resonators as near-zero materials has great potential. Here, we perform the analysis for the example of bubbly crystals, which is a classic example of subwavelength resonance, where the resonant frequency of a single bubble is known as the Minnaert resonance. Our first result is to derive an asymptotic formula for the quasi-periodic Minnaert resonance frequencies close to the symmetry points K in the Brilloun zone. Then we obtain the linear dispersion relation of a Dirac cone. Our findings in this paper are illustrated in the case of circular bubbles, where the multipole expansion method provides an efficient technique for computing the band structure. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.subject | ACOUSTIC-WAVES | - |
dc.subject | NANOPARTICLES | - |
dc.subject | RESONANCES | - |
dc.title | HONEYCOMB-LATTICE MINNAERT BUBBLES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Yu, Sanghyeon | - |
dc.identifier.doi | 10.1137/19M1281782 | - |
dc.identifier.scopusid | 2-s2.0-85096741031 | - |
dc.identifier.wosid | 000600695200005 | - |
dc.identifier.bibliographicCitation | SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v.52, no.6, pp.5441 - 5466 | - |
dc.relation.isPartOf | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | - |
dc.citation.title | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | - |
dc.citation.volume | 52 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 5441 | - |
dc.citation.endPage | 5466 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | ACOUSTIC-WAVES | - |
dc.subject.keywordPlus | NANOPARTICLES | - |
dc.subject.keywordPlus | RESONANCES | - |
dc.subject.keywordAuthor | bubble | - |
dc.subject.keywordAuthor | honeycomb lattice | - |
dc.subject.keywordAuthor | Dirac cone | - |
dc.subject.keywordAuthor | subwavelength bandgap | - |
dc.subject.keywordAuthor | Minneart | - |
dc.subject.keywordAuthor | resonance | - |
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