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Fano resonances in acoustics

Hein, Stefan and Koch, Werner and Nannen, Lothar (2010) Fano resonances in acoustics. Journal of Fluid Mechanics, Vol. 664, pp. 238-264. Cambridge University Press. DOI: 10.1017/S0022112010003757. ISSN 0022-1120.

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Official URL: http://journals.cambridge.org/action/displayIssue?iid=1045116

Abstract

Contrary to completely open systems laterally confined domains can sustain localized, truly trapped modes with nominally zero radiation loss. These discrete resonant modes cannot be excited linearly by the continuous propagating duct modes due to symmetry constraints. If the symmetry of the geometry is broken the trapped modes become highly localized quasi-trapped modes which can interfere with the propagating duct modes. The resulting narrowband Fano resonances with resonance and antiresonance features are a generic phenomenon in all scattering problems with multiple resonant pathways. The present paper deals with the classical scattering of acoustic waves by various obstacles such as hard-walled single and multiple circular cylinders or rectangular and wedge-like screens in a two-dimensional duct without mean flow. The transmission and reflection coefficients as well as the (complex) resonances are computed numerically by means of the finite element method in conjunction with two different types of absorbing boundary conditions, namely the complex scaling method and the Hardy space method. The results exhibit the typical asymmetric Fano line shapes near the trapped-mode resonances if the symmetry of the geometry is broken.

Document Type:Article
Title:Fano resonances in acoustics
Authors:
AuthorsInstitution or Email of Authors
Hein, StefanUNSPECIFIED
Koch, WernerUNSPECIFIED
Nannen, LotharGeorg-August-Universität Göttingen
Date:2010
Journal or Publication Title:Journal of Fluid Mechanics
Refereed publication:Yes
In Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:Vol. 664
DOI:10.1017/S0022112010003757
Page Range:pp. 238-264
Publisher:Cambridge University Press
ISSN:0022-1120
Status:Published
Keywords:acoustics, Fano resonance, scattering, perfectly matched layer (PML), Hardy space method
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flight Physics
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Helicopters
Deposited By: Dr.-Ing. Stefan Hein
Deposited On:09 Nov 2010 14:57
Last Modified:07 Feb 2013 20:30

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