An antenna (200, 400, 500) for transmitting and receiving radio frequency signals comprising: a sub-reflector (202, 404, 504) being an ellipsoid defined by a portion of an ellipse having a major axis not parallel to an axis of the antenna, the portion of the ellipse being in a plane that includes the axis of the antenna, where the portion of the ellipse is rotated perpendicularly about the axis of the antenna to define a first reflecting surface of the sub-reflector, a center of the sub-reflector being on the axis of the antenna with the first reflecting surface facing and cooperating with a signal feed system centered at the axis of the antenna so that radio waves from a distal end of the feed system impinge on the first reflecting surface and signals received by the antenna are reflected from the first reflecting surface to the distal end of the feed system; and a main reflector (208, 414, 514) defined by a perpendicular rotation about the antenna axis of a parabola portion extending from an origin of an X-Y coordinate system to a parabola end point to form a reflecting surface that concavely slopes away from the antenna axis and wherein the y-axis coincides with the axis of the antenna, where the portion of the parabola is rotated perpendicularly about the axis of the antenna to form a second reflecting surface, the main reflector having a center being on the axis of the antenna with the second reflecting surface facing the first reflecting surface of the sub-reflector so that radio waves reflected from the first reflecting surface strike the second reflecting surface which in turn reflects the radio waves to form radio waves transmitted from the antenna, radio waves received by the antenna strike the second reflecting surface of the main reflector and are reflected to the first reflecting surface which in turn reflects the radio waves to the distal end of the feed system axis such that the antenna produces a signal pattern of a wide coverage conical beam, wherein a wide coverage conical beam is a conical beam with a circular beam peak being more than 45° and up to 90°relative to the antenna axis. a sub-reflector (202, 404, 504) being an ellipsoid defined by a portion of an ellipse having a major axis not parallel to an axis of the antenna, the portion of the ellipse being in a plane that includes the axis of the antenna, where the portion of the ellipse is rotated perpendicularly about the axis of the antenna to define a first reflecting surface of the sub-reflector, a center of the sub-reflector being on the axis of the antenna with the first reflecting surface facing and cooperating with a signal feed system centered at the axis of the antenna so that radio waves from a distal end of the feed system impinge on the first reflecting surface and signals received by the antenna are reflected from the first reflecting surface to the distal end of the feed system; and a main reflector (208, 414, 514) defined by a perpendicular rotation about the antenna axis of a parabola portion extending from an origin of an X-Y coordinate system to a parabola end point to form a reflecting surface that concavely slopes away from the antenna axis and wherein the y-axis coincides with the axis of the antenna, where the portion of the parabola is rotated perpendicularly about the axis of the antenna to form a second reflecting surface, the main reflector having a center being on the axis of the antenna with the second reflecting surface facing the first reflecting surface of the sub-reflector so that radio waves reflected from the first reflecting surface strike the second reflecting surface which in turn reflects the radio waves to form radio waves transmitted from the antenna, radio waves received by the antenna strike the second reflecting surface of the main reflector and are reflected to the first reflecting surface which in turn reflects the radio waves to the distal end of the feed system axis such that the antenna produces a signal pattern of a wide coverage conical beam, wherein a wide coverage conical beam is a conical beam with a circular beam peak being more than 45° and up to 90°relative to the antenna axis.