Asymmetrical Radiation Pattern Synthesis of Uniform Phased Arrays via Odd Phase Excitation

We show generation of an asymmetric far field radiation pattern for uniform linear and planar arrays having phase excitations that belong to a family of odd functions of the form [((2λb
₀
)
²ⁿ⁺¹
(x
²ⁿ⁺¹
+y
²ⁿ⁺¹
))/(2n+1)] where n = 1,2,3, .... The mainlobe and the dominant sidelobes are contained in one quadrant of the azimuthal plane, while the sidelobes in the remaining three quadrants are reduced significantly. In comparison, such an asymmetric radiation pattern is unlike a conventional phased array which produces a symmetric pattern. The asymmetrical sidelobe distribution is achieved while maintaining the directivity and beamwidth. The designed phased arrays have good scan performance from -45° to 45° in the elevation and azimuth planes with an ability to maintain constant directivity.