Method for producing an antenna reflector with formed surface, reflector with formed surface obtained by said method and antenna comprising such a reflector

A method is provided which includes: defining at least one radiofrequency performance objective to be produced on a selected coverage area on the ground; producing a rigid shell having a predefined profile; producing a reflecting flexible membrane; determining, by successive iterations, N optimum local deformations to be applied at N different points of the flexible membrane; producing N rigid supporting bars of different lengths corresponding to the optimum local deformations to be applied to the flexible membrane; and positioning and rigidly fixing the flexible membrane onto the rigid shell via the N supporting bars.