Axisymmetric oscillations in open doubly – connected rotationally symmetric cavities with sound soft walls

Martin Sagradian*, Elena Vinogradova

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

A rigorous approach for analysis of wave scattering from acoustically soft rotationally symmetric cavities with two coaxial apertures is developed. The solution algorithm is based on the generalisation of the Method of Analytical Regularisation which has been previously applied to obtain the accurate solution of the wave scattering problem for open canonical objects. Distinctive features of the original method such as fast solution convergence and guaranteed desired accuracy are preserved. The spectrum of the axisymmetric complex oscillations is studied for four types of cylindrical cavities of finite length: closed, open, partially open (capped by circular annuli) and sinusoidally corrugated cylinders. After finding the complex eigenvalues the backscattering cross section in the resonance region is investigated.
Original languageEnglish
Article numberJASA-06169
Number of pages11
JournalThe Journal of the Acoustical Society of America
Publication statusSubmitted - 12 Oct 2020

Keywords

  • Method of Analytical Regularisation
  • finite open cylinders
  • complex eigenvalues

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