Asymptotic expansion of problem solution of spherical wave diffraction on wedge

This work is dedicated to the study the of an electromagnetic field behavior in a wedge-shaped region with wedge opening angle 2Φ close to the straight angle, 2Φ → π. This geometry is a useful model for applications in radio-navigation aids, in cellar communication. In this work we present the asymptotic expansions of the Helmholtz equation solution with the right part corresponding to the electric dipole. Dissipation field of spherical wave at a wedge with perfectly conducting face, with the wedge opening angle close to the strait angle is described by the sum of the fields of four half-shadow waves and an edge wave field. Half-shadow waves are calculated by Macdonalds integrals. Computations are confirmed by measurements on the wedge model.