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.