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

S. A. Nazarov, L. Chesnel

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)646-663
ЖурналComputational Mathematics and Mathematical Physics
Том61
Номер выпуска4
DOI
СостояниеОпубликовано - апр 2021

Предметные области Scopus

  • Вычислительная математика

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