Cosecant Squared Beam-Forming by Metasurface With Complex-Amplitude Controls for Antenna Array

The antenna array loaded with complex-amplitude metasurface (MS) is reported to realize a cosecant squared beam. A novel MS unit-cell is proposed to independently manipulate the amplitude and phase of the transmissive linearly polarized electromagnetic wave simultaneously. The unit-cell consists of two metallic patterned layers printed on both sides of a substrate, and it has a profile height of only 2 mm (about 0.07λ). Further, it can achieve amplitude modulation from 0.2 to 1.0 with almost constant phase by rotating the metallic patterns, and phase modulation covers 360° by adjusting the radius of the patterns. In addition, a novel method for forming the cosecant squared beam based on the MS has been proposed. The transmissive amplitude and phase distributions of the MS are calculated to match the designed goals obtained by the genetic algorithm (GA), and a cosecant squared beam can be generated by loading the proposed MS on the antenna array. The proposed method is numerically and experimentally verified by a 10-units line array loaded with the proposed MS, and the maximum gain of the antenna at 10.5 GHz is 11.9 dBi (about 16.4% aperture efficiency). The antenna can also achieve SLL lower -14.5 dB at 10.5 GHz with cross-polarization below -7.2 dB. The cosecant squared patterns can be efficiently generated over a wide bandwidth from 10.1-10.8 GHz (about 6.7%).