Wave Packets Propagation in the Subwavelength Regime Near the Dirac Point.
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| Title: | Wave Packets Propagation in the Subwavelength Regime Near the Dirac Point. |
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| Authors: | Ammari, Habib1 (AUTHOR) habib.ammari@math.ethz.ch, Fu, Xin2 (AUTHOR) fux20@mails.tsinghua.edu.cn, Jing, Wenjia2,3 (AUTHOR) wjjing@tsinghua.edu.cn |
| Source: | Archive for Rational Mechanics & Analysis. Apr2026, Vol. 250 Issue 2, p1-67. 67p. |
| Subjects: | Wave packets, Dirac operators, Phononic crystals, Honeycomb structures, Theory of wave motion, Dispersion relations |
| Abstract: | In Ammari et al. (SIAM J Math Anal 52:5441–5466, 2020), the first author with collaborators proved the existence of Dirac dispersion cones at subwavelength scales in bubbly honeycomb phononic crystals. In this paper, we study the time-evolution of wave packet, which are spectrally concentrated near such conical points. We prove that the wave packet dynamic is governed by a time-dependent effective Dirac system, which still depends, but in a simple way, on the subwavelength scale. [ABSTRACT FROM AUTHOR] |
| Copyright of Archive for Rational Mechanics & Analysis is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191453064 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00205-026-02164-w Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 67 StartPage: 1 Subjects: – SubjectFull: Wave packets Type: general – SubjectFull: Dirac operators Type: general – SubjectFull: Phononic crystals Type: general – SubjectFull: Honeycomb structures Type: general – SubjectFull: Theory of wave motion Type: general – SubjectFull: Dispersion relations Type: general Titles: – TitleFull: Wave Packets Propagation in the Subwavelength Regime Near the Dirac Point. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ammari, Habib – PersonEntity: Name: NameFull: Fu, Xin – PersonEntity: Name: NameFull: Jing, Wenjia IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00039527 Numbering: – Type: volume Value: 250 – Type: issue Value: 2 Titles: – TitleFull: Archive for Rational Mechanics & Analysis Type: main |
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