### 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 |
---|---|

Pages (from-to) | 695-700 |

Number of pages | 6 |

Journal | Journal of Mathematical Sciences (United States) |

Volume | 226 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2017 |

### Fingerprint

### Scopus subject areas

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