Multiple feeds per beam antenna array feed system comprising: a quasi-periodic multi-port coupler comprising at least two input ports and being adapted and arranged to distribute power from each input port of the at least two input ports to an output port corresponding to the respective input port and to two output ports directly adjacent to the output port corresponding to the respective input port, wherein coupling values of the quasi-periodic multi-port coupler have nearly same values for each beam to be transmitted or to be received, and wherein a number of input ports determines a number of beams to be transmitted or to be received; and an antenna array connected to and adapted and arranged to be fed by or to feed the quasi-periodic multi-port coupler, and further adapted and arranged to transmit or to receive at least two beams, wherein the antenna array comprises five or more antenna horn elements forming at least two subsets, each antenna horn element of the five or more antenna horn elements being adapted and arranged to transmit or to receive an electromagnetic wave having a same polarization, and wherein a combination of electromagnetic waves transmitted or received by a first subset of the at least two subsets forms one of the at least two beams, and wherein a combination of electromagnetic waves transmitted or received by a second subset of the at least two subsets forms another one of the at least two beams, wherein the first subset comprises at least three of the five or more antenna horn elements and the second subset comprises at least three of the five or more antenna horn elements, and wherein only one antenna horn element of the at least three antenna horn elements of the first subset is a common antenna horn element of the first subset and the second subset, wherein the common antenna horn element forms part of two adjacent beams of the two or more beams, wherein, for each subset, each of the output port corresponding to a respective input port of the at least two input ports and the two output ports directly adjacent to the output port corresponding to the respective input port of the at least two input ports is adapted to feed or to be fed by only one antenna horn element of three antenna horn elements of the three or more antenna horn elements of a subset of the least two subsets, and wherein the common antenna horn element is one antenna horn element of the three antenna horn elements of the three or more antenna horn elements of a subset which is adapted to be fed by or to feed one of the three output ports corresponding to a respective input port of the at least two input ports of the quasi-periodic multi-port coupler. a quasi-periodic multi-port coupler comprising at least two input ports and being adapted and arranged to distribute power from each input port of the at least two input ports to an output port corresponding to the respective input port and to two output ports directly adjacent to the output port corresponding to the respective input port, wherein coupling values of the quasi-periodic multi-port coupler have nearly same values for each beam to be transmitted or to be received, and wherein a number of input ports determines a number of beams to be transmitted or to be received; and an antenna array connected to and adapted and arranged to be fed by or to feed the quasi-periodic multi-port coupler, and further adapted and arranged to transmit or to receive at least two beams, wherein the antenna array comprises five or more antenna horn elements forming at least two subsets, each antenna horn element of the five or more antenna horn elements being adapted and arranged to transmit or to receive an electromagnetic wave having a same polarization, and wherein a combination of electromagnetic waves transmitted or received by a first subset of the at least two subsets forms one of the at least two beams, and wherein a combination of electromagnetic waves transmitted or received by a second subset of the at least two subsets forms another one of the at least two beams, wherein the first subset comprises at least three of the five or more antenna horn elements and the second subset comprises at least three of the five or more antenna horn elements, and wherein only one antenna horn element of the at least three antenna horn elements of the first subset is a common antenna horn element of the first subset and the second subset, wherein the common antenna horn element forms part of two adjacent beams of the two or more beams, wherein, for each subset, each of the output port corresponding to a respective input port of the at least two input ports and the two output ports directly adjacent to the output port corresponding to the respective input port of the at least two input ports is adapted to feed or to be fed by only one antenna horn element of three antenna horn elements of the three or more antenna horn elements of a subset of the least two subsets, and wherein the common antenna horn element is one antenna horn element of the three antenna horn elements of the three or more antenna horn elements of a subset which is adapted to be fed by or to feed one of the three output ports corresponding to a respective input port of the at least two input ports of the quasi-periodic multi-port coupler.