Resonance widths for general Helmholtz Resonators with straight neck
Thomas Duyckaerts, Alain Grigis, Andr\'e Martinez
TL;DR
This paper establishes an optimal exponential lower bound on the resonance width for the first eigenvalue in general Helmholtz resonators with straight necks across any dimension.
Contribution
It provides the first optimal exponential lower bound on resonance widths for a broad class of Helmholtz resonators with straight necks in any dimension.
Findings
Proves an optimal exponential lower bound on resonance widths.
Applicable to general Helmholtz resonators with straight necks.
Valid in any spatial dimension.
Abstract
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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