A reflector antenna, preferably a fixed mesh reflector antenna, and a process for manufacturing the reflector antenna, is disclosed that includes forming a support structure, placing a reflector surface on a mold, attaching the support structure to the reflector surface, measuring the geometry of the reflector surface, adjusting the surface geometry of the reflector if appropriate to obtain improved accuracy for the reflector surface, and fixedly connecting the support structure and the reflector surface. In an embodiment, the antenna reflector system includes a mesh reflector surface, a plurality of spline support elements, a plurality of splines connected to the reflector surface, and a plurality of adjustable spline supports attachable to the spline support elements and the splines, wherein the adjustable spline supports are adjustably repositionable with respect to the spline support elements, and also fixedly connectable to the spline support elements.