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X-WR-CALNAME:EuroNoise 2015 A reaction matrix method in waveguides with coupling resonances
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TZID:Europe/Paris
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CREATED:19700101T000000Z
UID:267
DTEND;TZID=Europe/Paris:20150603T144000
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SUMMARY:EuroNoise 2015 A reaction matrix method in waveguides with coupling resonances
DTSTART;TZID=Europe/Paris:20150603T142000
DTSTAMP:20150603T142000Z
SEQUENCE:1
DESCRIPTION: Lei Xiong --- A Reaction Matrix Method is used to investigate wave propagation through \nlocally perturbed acoustic \nwaveguide. A coupling matrix is introduced to describe the coupling between \nthe discrete modes and via \nthe semi-infinite ducts. Two cases are considered: a waveguide coupled with \ncavity, and with impedance \nwall. In both cases, Fano resonances and trapped modes are all observed at \nsome particular frequencies. \nEffective Hamiltonian is explored to locate the positions and widths of the \nresonances of the open system. \nBy varying a parameter continuously, avoided crossings of the resonances in \nthe complex plane are always \nobserved. Because of the interference of two neighbor resonances via the duct, \nthe width of one of the \nresonances will almost vanish, resulting in the strong localization of the \npressure field in the waveguide.\nMore importantly, the Reaction Matrix Method also allows an easy treatment of \nthe non-separable problem \nalong transverse and axial directions. This method is also applied to a lined \nwall with varying impedance \nalong the axis. The effects of the Fano resonances and trapped modes on the \ntransmission and reflection \ncoefficients are analyzed. By tracing the motions of the eigenvalues of the \neffective Hamiltonian, the Fano \nline-shape transmission coefficients can be well predicted at some particular \nfrequency.\n
LOCATION:0.3 Copenhagen (49)
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