### Abstract

The scalar problem of plane wave diffraction by a narrow cone is considered. The angle of the cone α and the angle of incidence are assumed to be small, and the field is studied in a boundary layer near the surface at distances z from the cone tip such that kz ~ α^{−2}. The parabolic equation method is applied, and the leading order approximation is constructed in the form of an integral.

Original language | English |
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Pages (from-to) | 1-6 |

Number of pages | 6 |

Journal | Journal of Mathematical Sciences (United States) |

DOIs | |

Publication status | Published - 2017 |

Externally published | Yes |

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### Scopus subject areas

- Statistics and Probability
- Mathematics(all)
- Applied Mathematics

### Cite this

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**Diffraction by a Narrow Cone in a Skew Incidence.** / Andronov, I. V.

Research output

TY - JOUR

T1 - Diffraction by a Narrow Cone in a Skew Incidence

AU - Andronov, I. V.

PY - 2017

Y1 - 2017

N2 - The scalar problem of plane wave diffraction by a narrow cone is considered. The angle of the cone α and the angle of incidence are assumed to be small, and the field is studied in a boundary layer near the surface at distances z from the cone tip such that kz ~ α−2. The parabolic equation method is applied, and the leading order approximation is constructed in the form of an integral.

AB - The scalar problem of plane wave diffraction by a narrow cone is considered. The angle of the cone α and the angle of incidence are assumed to be small, and the field is studied in a boundary layer near the surface at distances z from the cone tip such that kz ~ α−2. The parabolic equation method is applied, and the leading order approximation is constructed in the form of an integral.

UR - http://www.scopus.com/inward/record.url?scp=85030465978&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3558-2

DO - 10.1007/s10958-017-3558-2

M3 - Article

AN - SCOPUS:85030465978

SP - 1

EP - 6

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

ER -