On Diffraction of a Point Sound Source by an Infinite Wedge

We consider a two-dimensional problem of diffraction of a harmonic sound wave emitted by a point sound source located near the sharp angle of an infinite wedge asymmetrically with respect to its faces. The boundary is considered as acoustically rigid. Using boundary integral equations for an asymmetric location of a source of sound, the problem is reduced to a system of two Fredholm integral equations of the second kind. The behavior of the solution by approaching the vicinity of the corner of the wedge is determined by the Meixner condition. The pressure value at the wedge end at the corner point is found in an explicit form. An asymptotic estimate of the behavior of the pressure function at infinity is performed. Discretization reduces the system of basic boundary integral equations to a system of linear algebraic equations. An “enhanced” discretization scheme with three intervals of different densities at each face is proposed. The pressure in a scattered field is constructed.