On the diffraction field near a plane-screen corner

It is shown that the diffraction field of an incident plane scalar wave in the vicinity of a plane-screen corner of arbitrary angle can be found approximately by solving Laplace's equation. An approximate solution, which satisfies the boundary conditions exactly, is presented as a simple closed expression by generalizing the known solution of the half-plane problem. A special corner condition, in addition to Meixner's edge condition, is not necessary.