A fast exact numerical solution for the acoustic response of concentric cylinders with penetrable interfaces

Gerard T. Schuster*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

A fast exact numerical algorithm is presented that computes the line source acoustic response of concentric cylinders filled with acoustic material of contrasting impedances. The fast exact numerical method solves a cylinder scattering problem by a boundary integral equation method. By azimuthal symmetry, the discrete approximation of these integral equations are discrete periodic convolutions with respect to the angular variable. Application of a discrete Fourier transform reduces the boundary integral equations to a system of linear algebraic equations. The response is economically computed by algebraic division and an inverse fast Fourier transform. The dominant cost per temporal frequency is O (N log2N) algebraic operations, where N is the maximum number of discretization points along the circumference of the cylinder.

Original languageEnglish (US)
Pages (from-to)495-502
Number of pages8
JournalJournal of the Acoustical Society of America
Volume87
Issue number2
DOIs
StatePublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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