## Abstract

Contrary to the problem of scattering of electromagnetic

waves from a Hertz dipole located over an impedance

wedge, the corresponding acoustic problem is explicitly

solvable (i.e. by quadrature). In this work we study diffraction

of a spherical acoustic wave due to a point source, by an

impedance wedge. In the exterior of the wedge the acoustic

pressure satisfies the stationary wave (Helmholtz) equation

and classical impedance boundary conditions on two faces

of the wedge, as well as Meixner’s condition at the edge and

the radiation conditions at infinity. Solution of the boundary

value problem is represented by a Weyl type integral

and its asymptotic behavior is discussed. On this way, we

derive various components in the far field interpreting them

accordingly and discussing their physical meaning.

waves from a Hertz dipole located over an impedance

wedge, the corresponding acoustic problem is explicitly

solvable (i.e. by quadrature). In this work we study diffraction

of a spherical acoustic wave due to a point source, by an

impedance wedge. In the exterior of the wedge the acoustic

pressure satisfies the stationary wave (Helmholtz) equation

and classical impedance boundary conditions on two faces

of the wedge, as well as Meixner’s condition at the edge and

the radiation conditions at infinity. Solution of the boundary

value problem is represented by a Weyl type integral

and its asymptotic behavior is discussed. On this way, we

derive various components in the far field interpreting them

accordingly and discussing their physical meaning.

Original language | English |
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Title of host publication | The URSI GASS 2020. Proceedings |

Pages | B09-01 |

Number of pages | 4 |

Publication status | Published - 2020 |

Event | XXXIIIrd URSI General Sssembly and Scientific Symposium - Rome Duration: 29 Aug 2020 → 5 Sep 2020 |

### Conference

Conference | XXXIIIrd URSI General Sssembly and Scientific Symposium |
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Abbreviated title | URSI GASS 2020 |

Country | Italy |

City | Rome |

Period | 29/08/20 → 5/09/20 |