Fitting of the solvable model for scattering by Helmholtz resonator

B. Pavlov


The analytic perturbation procedure is divergent on the
continuous spectrum near the threshold of creation of resonances.
For scattering on Helmholtz resonator with a small opening we
suggest a modified procedure which is convergent and permits to
observe the creation of the resonance. The role of the first step
(``jump-start'') in that perturbation procedure is played by a
solvable model of the resonator, which is completely fitted based
on the resonance parameters

Dirichlet-to-Neumann map, Scattering, Operator extension

Math Review Classification
Primary 35J05, 47A40 ; Secondary 35p25,47F05

Last Updated
27 March 2005


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