## 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 log_{2}N) algebraic operations, where N is the maximum number of discretization points along the circumference of the cylinder.

Original language | English (US) |
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Pages (from-to) | 495-502 |

Number of pages | 8 |

Journal | Journal of the Acoustical Society of America |

Volume | 87 |

Issue number | 2 |

DOIs | |

State | Published - Feb 1990 |

Externally published | Yes |

## ASJC Scopus subject areas

- Arts and Humanities (miscellaneous)
- Acoustics and Ultrasonics