Fields in the focal region of offset parabolic antennas

Out-of-Band Response of Reflector Antennas

“…Much of the previous work on the focal region fields of paraboloids [6]- [10] was directed toward design of feed systems, and only on-axis incidence was considered. More recently, Valentino and Toulios [11] computed the electric field in the focal region of an offset paraboloid for off-axis incidence. For simplicity we consider only the symmetrical paraboloid, but we extend the previous derivation [11] to include the magnetic field and the Poynting vector for off-axis incidence.…”

“…More recently, Valentino and Toulios [11] computed the electric field in the focal region of an offset paraboloid for off-axis incidence. For simplicity we consider only the symmetrical paraboloid, but we extend the previous derivation [11] to include the magnetic field and the Poynting vector for off-axis incidence.…”

“…The reflector has a diameter D and a focal length f. The origin of a rectangular coordinate system (x, y, z) is located at the focus of the paraboloid. Our derivation and notation follow Valentino and Toulios [11] fairly closely, but we introduce several simplifications. Because we consider the symmetrical paraboloid, the offset angle 00 in [11] is zero.…”

“…Our derivation and notation follow Valentino and Toulios [11] fairly closely, but we introduce several simplifications. Because we consider the symmetrical paraboloid, the offset angle 00 in [11] is zero. For the symmetrical paraboloid, without loss of generality, we assume the incident plane wave is incident in the xz plane (Os = 0 in [11]).…”

“…For the symmetrical paraboloid, without loss of generality, we assume the incident plane wave is incident in the xz plane (Os = 0 in [11]). Finally, we assume that the field point is located in the focal plane (Z2 = 0 orO2 = 7r/2 in [11]). …”