Optimal lower bound of the resonance widths for a Helmhotz tube-shaped resonator

Details Optimal lower bound of the resonance widths for a Helmhotz tube-shaped resonator Optimal lower bound of the resonance widths for a Helmhotz tube-shaped resonator

2011-06-06

arxiv.org/abs/1106.0990v1

Mathematics

Spectral Theory

16 pages,2 figures

Scientific paper

The study of the resonances of the Helmholtz resonator has been broadly
described in previous works. Here, for a simple tube-shaped two dimensional
resonator, we can perform a careful analysis of the transition zone where
oscillations start to appear. In that way, we obtain an optimal lower bound of
the width of the resonances.

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