Excited resonance widths for Helmholtz resonators with straight neck

Excited resonance widths for Helmholtz resonators with straight neck

We consider resonances associated with excited eigenvalues of the cavity of a general Helmholtz resonator with straight neck. Under the assumption that the neck stays away from the nodal set of the corresponding eigenstate, we generalise the optimal exponential lower bound on the width of the resona...

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Veröffentlicht in:arXiv.org 2017-09
Hauptverfasser: Duyckaerts, Thomas, Grigis, Alain, Martinez, André
Format: Artikel
Sprache:eng
Schlagworte:
Cavity resonators
Eigenvalues
Eigenvectors
Ground resonance
Helmholtz resonators
Lower bounds
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Zusammenfassung:We consider resonances associated with excited eigenvalues of the cavity of a general Helmholtz resonator with straight neck. Under the assumption that the neck stays away from the nodal set of the corresponding eigenstate, we generalise the optimal exponential lower bound on the width of the resonance, that we have obtained in a previous paper for the ground resonance only.
ISSN:2331-8422