| The electromagnetic field behind a building is calculated by using the equivalence principle in two-dimensional (2-D) environments. We derive equivalent currents on the building walls and other boundaries. The electromagnetic field at a receiver behind the building is calculated from those currents.; We calculate the electromagnetic field and the Poynting vector field for a semi-infinite current sheet, both in the near and far fields. We find a surprising behavior of the Poynting vector field in the near field: a portion of the Poynting vector field turns toward the edge, instead of radiating outwards, when the direction of the current vector is perpendicular to the edge.; To understand this surprising behavior of the Poynting vector field, we analyze a simpler model of two adjacent electric dipoles. We verify compliance with Poynting's Theorem for harmonic fields. We find a boundary or separatrix 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.; With the ability to obtain the electromagnetic fields for finite and semi-infinite electric and magnetic current sheets, we apply the equivalence principle to a building model and obtain the electromagnetic field behind the building by using the equivalent currents. We compare our result with a knife-edge model and a ray-tracing model and we confirm that the equivalence principle provides accurate predictions of the fields. The calculation method is also applied to multiple buildings by using it consecutively to obtain the field behind the last building. |
