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- W2783643729 abstract "In this work we study the problem of diffraction of an acoustic plane wave by a semi-infinite angular sector with impedance boundary conditions on its surface. It is studied by means of incomplete separation of variables. With the aid of Watson–Bessel integral representation the problem is reduced to a boundary value problem on the unit sphere with an operator-impedance boundary condition on a cut of the sphere. The latter problem is further studied by means of the traditional methods of extensions of sectorial sesquilinear forms. The Sommerfeld integral representation is obtained from that of Watson–Bessel with the aim to develop the far-field asymptotics. Analytic properties of the corresponding Sommerfeld transformant are also discussed. For a narrow impedance sector, an asymptotic formula for the diffraction coefficient of the spherical wave propagating from the vertex is derived." @default.
- W2783643729 created "2018-01-26" @default.
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- W2783643729 date "2018-01-10" @default.
- W2783643729 modified "2023-09-27" @default.
- W2783643729 title "Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions" @default.
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- W2783643729 doi "https://doi.org/10.1093/imamat/hxx044" @default.
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