An Electric Dipole on the Surface of a Half-Space near the Edge of a Spherical Segment

摘要

The 3D problem on the field of an electric dipole situated near the edge of a spherical irregularity projecting from a conducting half-space is solved in the quasi-static approximation. An analytical solution is obtained for the near field of the source in the case of rational angular points. For the spherical irregularity, the effect functions and their asymptotics taking into account the influence of the irregularity on the far field are studied.