Calculation of the Kirchhoff coefficients for the Helmholtz resonator

DOI10.1134/S1061920809020046zbMath1183.35213OpenAlexW2057820294MaRDI QIDQ1033834

Gaven J. Martin, Jochen Brüning, B. S. Pavlov

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920809020046

zbMATH Keywords

scattering problemHelmholtz resonatorKirchhoff coefficients

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Scattering theory for PDEs (35P25) Hydro- and aero-acoustics (76Q05)

Related Items (3)

FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS ⋮ Model of point-like window for electromagnetic Helmholtz resonator ⋮ Incompleteness of resonance states for quantum ring with two semi-infinite edges

Cites Work

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• Nonselfadjoint operators, infinite determinants, and some applications
• Systems of acoustic resonators in the quasistationary mode
• A star-graph model via operator extension
• A simple method of calculating eigenvalues and resonances in domains with infinite regular ends
• On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants
• Asymptotics of scattering frequencies with small imaginary parts for an acoustic resonator
• Spectral properties of a short-range impurity in a quantum dot
• ON SCATTERING BY BODIES WITH NARROW CHANNELS
• Spectral Decomposition of Symmetric Operator Matrices
• Intermediate Hamiltonian via Glazman's splitting and analytic perturbation for meromorphic matrix‐functions
• Jump-start in the analytic perturbation procedure for the Friedrichs model
• Scattering frequencies of resonators
• Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction

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