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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Sadreev A. F., Lyapina A. A., Pilipchuk A. S.
Заглавие : Coupled mode theory for acoustic resonators
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : Wave Motion: Elsevier Science, 2015. - Vol. 56. - P.52-66. - ISSN 0165, DOI 10.1016/j.wavemoti.2015.02.003. - ISSN 1878433X(eISSN)
Примечания : Cited References:42. - We thank K.N. Pichugin for helpful discussions. The work was supported by grant 14-12-00266 from Russian Science Foundation.
Предметные рубрики: WAVE-GUIDES
TRAPPED MODES
DISCONTINUITIES
TRANSMISSION
BILLIARDS
Ключевые слова (''Своб.индексиров.''): coupled mode theory--non-hermitian hamiltonian--acoustic resonator--s-matrix
Аннотация: We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator–waveguide systems. In higher than one dimension the method represents acoustic coupled mode theory in which the scattering solution within an open resonator is found in the form of expansion over the eigenmodes of the closed resonator decoupled from the waveguides. The problem of finding the transmission spectra is reduced to solving a set of linear equations with a non-Hermitian matrix whose anti-Hermitian term accounts for coupling between the resonator eigenmodes and the scattering channels of the waveguides. Numerical applications to acoustic two-, and three-dimensional resonator–waveguide problems are considered.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lyapina A. A., Maksimov D. N., Pilipchuk A. S., Sadreev A. F.
Заглавие : Bound states in the continuum in open acoustic resonators
Место публикации : J. Fluid Mech. - 2015. - Vol. 780. - P.370-387. - ISSN 0022-1120, DOI 10.1017/jfm.2015.480
Примечания : Cited References: 48. - This work has been supported by Russian Science Foundation through grant 14-12-00266.
Предметные рубрики: TRAPPED MODES
FANO RESONANCES
COMPLEX RESONANCES
PARALLEL PLATES
SIDE-BRANCHES
WAVE-GUIDES
ABSORPTION
TRANSPORT
CHANNELS
SYSTEM
Ключевые слова (''Своб.индексиров.''): aeroacoustics--noise control--wave scattering
Аннотация: We consider bound states in the continuum (BSCs) or embedded trapped modes in two- and three-dimensional acoustic axisymmetric duct-cavity structures. We demonstrate numerically that, under variation of the length of the cavity, multiple BSCs occur due to the Friedrich-Wintgen two-mode full destructive interference mechanism. The BSCs are detected by tracing the resonant widths to the points of the collapse of Fano resonances where one of the two resonant modes acquires infinite life-time. It is shown that the approach of the acoustic coupled mode theory cast in the truncated form of a two-mode approximation allows us to analytically predict the BSC frequencies and shape functions to a good accuracy in both two and three dimensions. © 2015 Cambridge University Press.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Pilipchuk A. S., Lyapina A. A.
Заглавие : Tuning of Fano resonances by rotation of continuum: Wave faucet
Коллективы : RFBR [17-02-00440]
Место публикации : Europhys. Lett. - 2017. - Vol. 117, Is. 5. - Ст.50011. - ISSN 0295-5075, DOI 10.1209/0295-5075/117/50011. - ISSN 1286-4854(eISSN)
Примечания : Cited References:35. - This work has been supported by RFBR through Grant 17-02-00440. The authors thank E. N. Bulgakov and D. N. Maksimov for helpful discussions.
Предметные рубрики: BOUND-STATES
TRAPPED MODES
ACOUSTIC RESONANCES
Аннотация: We consider wave transmission in a non-axisymmetric waveguide which consists of cylindrical resonator and two semi-infinite cylindrical waveguides whose axes are shifted relative to each other by azimuthal angle Δϕ. Although rotation by Δϕ does not change the eigenfrequency spectrum of the resonator, it effectively tunes the Fano resonances and respectively gives rise to an analog of a faucet opening and closing wave flux under rotation. Moreover, under the rotation of the waveguide and variation of the length of resonator, numerous events of the Fano resonance collapse occur to argue for the bound states in the continuum. In the nearest vicinity of the bound states scattering wave function with orbital angular momentum shows phase dislocations with giant vortical acoustic flows around.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lyapina A. A., Pilipchuk A. S., Sadreev A. F.
Заглавие : Trapped modes in a non-axisymmetric cylindrical waveguide
Место публикации : J. Sound Vib. - 2018. - Vol. 421. - P.48-60. - ISSN 0022460X (ISSN), DOI 10.1016/j.jsv.2018.01.056
Примечания : Cited References: 52. - This work has been supported by RFBR through Grant 17-02-00440. A.S. acknowledges discussions with E.N. Bulgakov, D.N. Maksimov, H. Schanz, P. Seba, L. Sirko, H.-J. Stöckmann and Shubo Wang.
Ключевые слова (''Своб.индексиров.''): trapped modes--cylindrical non-axisymmetric waveguide--waveguide rotation--wave faucet
Аннотация: We consider acoustic wave transmission in a non-axisymmetric waveguide which consists of a cylindrical resonator and two cylindrical waveguides whose axes are shifted relatively to each other by an azimuthal angle Δφ . Under variation of the resonator's length and fixed Δφ we find bound states in the continuum (trapped modes) due to full destructive interference of resonant modes leaking into the waveguides. Rotation of the waveguide adds complex phases to the coupling strengths of the resonator eigenmodes with the propagating modes of the waveguides tuning Fano resonances to give rise to a wave faucet. Under variation of Δφ with fixed resonator's length we find symmetry protected trapped modes. For Δφ ≠ 0 these trapped modes contribute to the scattering function supporting high vortical acoustic intensity spinning inside the resonator. The waveguide rotation brings an important feature to the scattering and provides an instrument for control of acoustic transmittance and wave trapping.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lyapina A. A., Pilipchuk A. S., Sadreev A. F.
Заглавие : Bound states with orbital angular momentum in the continuum of cylindrical non-axisymmetric waveguide
Место публикации : Ann. Phys. - 2018. - Vol. 396. - P.56-70. - ISSN 00034916 (ISSN), DOI 10.1016/j.aop.2018.05.020
Примечания : Cited References: 28. - This work has been supported by RFBR Grant 17-02-00440 . We thank D.N. Maksimov for discussions.
Ключевые слова (''Своб.индексиров.''): acoustic wave transmission--spinning trapped modes with orbital angular momentum
Аннотация: We consider acoustic wave transmission in a non-axisymmetric waveguide which consists of a cylindrical resonator of radius R and length L and two cylindrical waveguides of radius rR whose axes are shifted relative to the axis of the resonator and relative to each other by azimuthal angle Δϕ. We find multiple bound states in the continuum (trapped modes) with nonzero orbital angular momentum under variation of L due to full destructive interference of resonant modes leaking into waveguides. For Δφ₌π∕2 we find the degenerate bound states in the continuum whose contribution into the scattering wave function is complex and supports giant vortical acoustic intensity spinning inside the resonator.
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