Scattering Coefficients and Threshold Resonances in a Waveguide with Uniform Inflation of the Resonator

The spectral Dirichlet problem is considered in a waveguide made of a semi-infinite cylinder Π and the resonator Θ R obtained by inflating R times a fixed star-shaped domain Θ. The behavior of the scattering coefficient s ( R ) is studied as the parameter R grows, namely, it is verified that this co...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.283 (4), p.617-640
Hauptverfasser:	Nazarov, S. A., Ruotsalainen, K. M., Uusitalo, P. J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Dirichlet problem Eigenvalues Mathematics Mathematics and Statistics Resonance scattering Resonators Scattering coefficient Standing waves Waveguides
Online-Zugang:	Volltext
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