### Abstract

High-frequency diffraction of a plane acoustic wave incident at a small angle to the axis of a narrow hyperboloid of revolution is considered. By the parabolic equation method in spheroidal coordinates, the leading term of field asymptotics in the near-surface boundary layer is constructed in the form of an integral involving Whittaker functions. Difficulties associated with its calculation are considered. Results obtained for the field at the surface of a perfectly rigid hyperboloid are presented. They reproduce the predicted high-frequency diffraction effects.

Original language | English |
---|---|

Pages (from-to) | 133-140 |

Number of pages | 8 |

Journal | Acoustical Physics |

Volume | 63 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1 Mar 2017 |

Externally published | Yes |

### Fingerprint

### Scopus subject areas

- Acoustics and Ultrasonics

### Cite this

}

*Acoustical Physics*, vol. 63, no. 2, pp. 133-140. https://doi.org/10.1134/S1063771017010018

**High-frequency diffraction by a narrow hyperboloid of revolution.** / Andronov, I. V.

Research output

TY - JOUR

T1 - High-frequency diffraction by a narrow hyperboloid of revolution

AU - Andronov, I. V.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - High-frequency diffraction of a plane acoustic wave incident at a small angle to the axis of a narrow hyperboloid of revolution is considered. By the parabolic equation method in spheroidal coordinates, the leading term of field asymptotics in the near-surface boundary layer is constructed in the form of an integral involving Whittaker functions. Difficulties associated with its calculation are considered. Results obtained for the field at the surface of a perfectly rigid hyperboloid are presented. They reproduce the predicted high-frequency diffraction effects.

AB - High-frequency diffraction of a plane acoustic wave incident at a small angle to the axis of a narrow hyperboloid of revolution is considered. By the parabolic equation method in spheroidal coordinates, the leading term of field asymptotics in the near-surface boundary layer is constructed in the form of an integral involving Whittaker functions. Difficulties associated with its calculation are considered. Results obtained for the field at the surface of a perfectly rigid hyperboloid are presented. They reproduce the predicted high-frequency diffraction effects.

KW - diffraction

KW - high-frequency asymptotics

KW - narrow hyperboloid

KW - parabolic equation method

UR - http://www.scopus.com/inward/record.url?scp=85017001747&partnerID=8YFLogxK

U2 - 10.1134/S1063771017010018

DO - 10.1134/S1063771017010018

M3 - Article

AN - SCOPUS:85017001747

VL - 63

SP - 133

EP - 140

JO - Acoustical Physics

JF - Acoustical Physics

SN - 1063-7710

IS - 2

ER -