Resonance widths for general Helmholtz Resonators with straight neck

Resonance widths for general Helmholtz Resonators with straight neck

We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.

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Veröffentlicht in:arXiv.org 2015-04
Hauptverfasser: Duyckaerts, Thomas, Grigis, Alain, Martinez, André
Format: Artikel
Sprache:eng
Schlagworte:
Cavity resonators
Eigenvalues
Helmholtz resonators
Lower bounds
Mathematics - Analysis of PDEs
Resonance
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Zusammenfassung:We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.
ISSN:2331-8422
DOI:10.48550/arxiv.1504.05425