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Bound states in the continuum in open acoustic resonators

Published online by Cambridge University Press:  03 September 2015

A. A. Lyapina ,
D. N. Maksimov ,
A. S. Pilipchuk  and
A. F. Sadreev
A. A. Lyapina
Affiliation:
L. V. Kirensky Institute of Physics, Krasnoyarsk 660036, Russia Siberian Federal University, Krasnoyarsk 660041, Russia
D. N. Maksimov*
Affiliation:
L. V. Kirensky Institute of Physics, Krasnoyarsk 660036, Russia
A. S. Pilipchuk
Affiliation:
L. V. Kirensky Institute of Physics, Krasnoyarsk 660036, Russia Siberian Federal University, Krasnoyarsk 660041, Russia
A. F. Sadreev
Affiliation:
L. V. Kirensky Institute of Physics, Krasnoyarsk 660036, Russia
*
†Email address for correspondence: mdn@tnp.krasn.ru
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Abstract

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.

JFM classification

Acoustics: Aeroacoustics Acoustics: Noise control Waves/Free-surface Flows: Wave scattering
Type
Papers
Information
Journal of Fluid Mechanics , Volume 780 , 10 October 2015 , pp. 370 - 387
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Copyright
© 2015 Cambridge University Press 

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