Power flow between adjacent electric dipoles

The Poynting vector field is shown for two adjacent electric dipoles, when there is a phase difference between them. There is a boundary around the two dipoles, inside which the time-averaged Poynting-vector field flows from one dipole to the other, and outside which it flows outwards. It is shown that in spite of the behavior of the Poynting-vector field, in which the time-averaged power leaves one dipole and enters the other, it complies with Poynting's theorem for harmonic fields, and maintains the constancy of the net radiated power. It is also shown that the total time-averaged power radiated from the two-dipole system comes from the small area between the axis along which the two dipoles are aligned and the boundary or separatrix at one of the dipoles. This two-dipole model also helps us understand the behavior of the Poynting-vector field near the edge of a semi-infinite current sheet.