### Abstract

A high-frequency diffraction problem is considered for a Gaussian beam incident parallel to the axis of a strongly elongated spheroid. The parabolic equation method in spheroidal coordinates is used to construct the leading order term of the field asymptotics in the boundary layer near the surface in the form of an integral containing Whittaker functions. The field amplitudes on the surface of a perfectly hard spheroid are computed. High-frequency diffraction effects are discussed.

Original language | English |
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Pages (from-to) | 335-339 |

Journal | Acoustical Physics |

Volume | 65 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Jul 2019 |

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### Scopus subject areas

- Acoustics and Ultrasonics

### Cite this

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*Acoustical Physics*, vol. 65, no. 4, pp. 335-339. https://doi.org/10.1134/S1063771019040018

**Diffraction of a Gaussian Beam by a Strongly Elongated Spheroid.** / Andronov, I.V.

Research output

TY - JOUR

T1 - Diffraction of a Gaussian Beam by a Strongly Elongated Spheroid

AU - Andronov, I.V.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - A high-frequency diffraction problem is considered for a Gaussian beam incident parallel to the axis of a strongly elongated spheroid. The parabolic equation method in spheroidal coordinates is used to construct the leading order term of the field asymptotics in the boundary layer near the surface in the form of an integral containing Whittaker functions. The field amplitudes on the surface of a perfectly hard spheroid are computed. High-frequency diffraction effects are discussed.

AB - A high-frequency diffraction problem is considered for a Gaussian beam incident parallel to the axis of a strongly elongated spheroid. The parabolic equation method in spheroidal coordinates is used to construct the leading order term of the field asymptotics in the boundary layer near the surface in the form of an integral containing Whittaker functions. The field amplitudes on the surface of a perfectly hard spheroid are computed. High-frequency diffraction effects are discussed.

KW - diffraction

KW - high-frequency asymptotics

KW - parabolic equation method

KW - strongly elongated spheroid

UR - http://www.scopus.com/inward/record.url?scp=85070315922&partnerID=8YFLogxK

U2 - 10.1134/S1063771019040018

DO - 10.1134/S1063771019040018

M3 - Article

AN - SCOPUS:85070315922

VL - 65

SP - 335

EP - 339

JO - Acoustical Physics

JF - Acoustical Physics

SN - 1063-7710

IS - 4

ER -