Solution of the diffraction problem of a plane wave by an impedance wedge (Non-stationary case. Smirnov-Sobolev method)

Abstract

Using the Smirnov-Sobolev approach, we reduce the nonstationary problem of diffraction of a plane wave by an impedance wedge to the Hilbert problem on a half-plane. The index of the Hilbert problem is equal to one. The Hilbert problem is “solved in quadratures.” In another way and in another form, a similar diffraction problem was solved earlier by Popandopulos [J. Aust. Math. Soc. 1 (1), 97–106 (1961)].