TY - JOUR

T1 - Anomalies of Acoustic Wave Propagation in Two Semi-Infinite Cylinders Connected by a Flattened Ligament

AU - Nazarov, S. A.

AU - Chesnel, L.

N1 - Nazarov, S.A., Chesnel, L. Anomalies of Acoustic Wave Propagation in Two Semi-Infinite Cylinders Connected by a Flattened Ligament. Comput. Math. and Math. Phys. 61, 646–663 (2021). https://doi.org/10.1134/S0965542521040096

PY - 2021/4

Y1 - 2021/4

N2 - Abstract: We study the propagation of waves in a waveguide which is the union of two semi-infinite cylinders connected by a thin rectangular ligament. It is shown that almost complete or even complete transmission of the piston mode at a prescribed frequency can be achieved via fine tuning of the plate sizes, although, of course, almost complete wave reflection occurs in the generic case. The result is obtained by applying an asymptotic analysis of the scattering coefficients of the acoustic wave, in particular, by using the dimension reduction procedure on the thin ligament. Possible generalizations of the problem formulation and related open questions are discussed.

AB - Abstract: We study the propagation of waves in a waveguide which is the union of two semi-infinite cylinders connected by a thin rectangular ligament. It is shown that almost complete or even complete transmission of the piston mode at a prescribed frequency can be achieved via fine tuning of the plate sizes, although, of course, almost complete wave reflection occurs in the generic case. The result is obtained by applying an asymptotic analysis of the scattering coefficients of the acoustic wave, in particular, by using the dimension reduction procedure on the thin ligament. Possible generalizations of the problem formulation and related open questions are discussed.

KW - acoustic waveguide

KW - almost complete reflection and transmission of piston modes

KW - asymptotics of scattering coefficients

KW - connecting ligament

KW - FREQUENCIES

KW - CONTINUOUS-SPECTRUM

KW - THRESHOLDS

KW - TRAPPED MODES

KW - EIGENVALUES

KW - TRANSMISSION

KW - REFLECTION

KW - FANO RESONANCES

KW - DIFFRACTION

KW - SCATTERING

UR - http://www.scopus.com/inward/record.url?scp=85107021918&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/8f5596fd-a907-3bb3-9d87-98f09ca77e9e/

U2 - 10.1134/s0965542521040096

DO - 10.1134/s0965542521040096

M3 - Article

AN - SCOPUS:85107021918

VL - 61

SP - 646

EP - 663

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 4

ER -