A method for creating two beams, a first beam and a second beam, the method comprising: using an antenna array to create said first beam and said second beam, wherein the antenna array comprises: a first antenna element (AE1-a) and a second antenna element (AE1-b) that together form a pair of antenna elements (AE1-a,AE1-b), the first antenna element (AE1-a) comprises an antenna element port S 1a connected to a first antenna and the second antenna element (AE1-b) comprises an antenna element port T 1b connected to a second antenna; wherein the first antenna has a first polarization and the second antenna has a second polarization, where the first polarization is orthogonal to the second polarization, and the first antenna and the second antenna have the same power pattern, where the step of using the antenna array to create said first beam and said second beam comprises: applying beam weights W b1,S1a and W b2,S1a associated with the first and second beams, respectively, to antenna element port S 1a; and applying beam weights W b1,T1b and W b2,T1b associated with the first and second beams, respectively, to antenna element port T 1b, wherein W b2,S1a is a function of the complex conjugate of W b1,T1b, and W b2,T1b is a function of the complex conjugate of W b1,S1a such that W b2,S1a equals e i(β+π) (W b1,T1b)* α 1, and W b2,T1b equals e iβ (W b1,S1a)* 1/α 1, where (W b1,S1a)* is the complex conjugate of W b1,S1a and (W b1,T1b)* is the complex conjugate of W b1,T1b, α 1 is an amplitude scaling factor and β is a phase shift. using an antenna array to create said first beam and said second beam, wherein the antenna array comprises: a first antenna element (AE1-a) and a second antenna element (AE1-b) that together form a pair of antenna elements (AE1-a,AE1-b), the first antenna element (AE1-a) comprises an antenna element port S 1a connected to a first antenna and the second antenna element (AE1-b) comprises an antenna element port T 1b connected to a second antenna; wherein the first antenna has a first polarization and the second antenna has a second polarization, where the first polarization is orthogonal to the second polarization, and the first antenna and the second antenna have the same power pattern, where the step of using the antenna array to create said first beam and said second beam comprises: applying beam weights W b1,S1a and W b2,S1a associated with the first and second beams, respectively, to antenna element port S 1a; and applying beam weights W b1,T1b and W b2,T1b associated with the first and second beams, respectively, to antenna element port T 1b, wherein W b2,S1a is a function of the complex conjugate of W b1,T1b, and W b2,T1b is a function of the complex conjugate of W b1,S1a such that W b2,S1a equals e i(β+π) (W b1,T1b)* α 1, and W b2,T1b equals e iβ (W b1,S1a)* 1/α 1, where (W b1,S1a)* is the complex conjugate of W b1,S1a and (W b1,T1b)* is the complex conjugate of W b1,T1b, α 1 is an amplitude scaling factor and β is a phase shift. applying beam weights W b1,S1a and W b2,S1a associated with the first and second beams, respectively, to antenna element port S 1a; and applying beam weights W b1,T1b and W b2,T1b associated with the first and second beams, respectively, to antenna element port T 1b, W b2,S1a is a function of the complex conjugate of W b1,T1b, and W b2,T1b is a function of the complex conjugate of W b1,S1a W b2,S1a equals e i(β+π) (W b1,T1b)* α 1, and W b2,T1b equals e iβ (W b1,S1a)* 1/α 1,