Electromagnetic Field Singularity at the vicinity of dielectric edge in diffraction problems on the complicated shape bodies

The behavior of the electromagnetic field near a corner point of a line of discontinuity of the permittivity is studied. Using asymptotic methods, we construct an asymptotic representation of the electromagnetic near a corner point of a line of discontinuity of permittivity. The representation obtained imply that, in the vicinity of the corner point of the line of discontinuity of permittivity, the main singularity is in the electric field. The longitudinal component itself is bounded in the neighborhood of the corner point, and its derivative has a power singularity; the form of the function describing the singularity is as that in the scalar case, considered earlier.