In which X, M and period p = 2π/( nk) are the same as those in equation (1).Ī detailed structure of the antenna is illustrated in Fig. The distribution of surface impedance corresponding to the subwavelength corrugated metal surface modulated with cosine function is written as Here we choose two typical periodic functions, the cosine function and the triangle-wave function, to modulate the surface impedance in order to observe the broadside radiation of leaky waves near the frequency of 17 GHz. Following the concept of periodic leaky-wave antenna 35, we could then modulate the surface impedance of the corrugated structure periodically to radiate propagating waves from the spoof SPPs. The corrugated metal structure composed of subwavelength unit cells with the same size is quasi-uniform 35 and support slow surface waves only 21, 22, 23. By treating the subwavlength corrugated metal structure as a metasurface, we could calculate the surface impedance of different unit cells easily by analyzing the dispersion diagrams of spoof SPPs. Subwavelength corrugated metal structures were proposed and investigated to support spoof SPPs, where the dispersion relation was also widely discussed 10, 11, 13, 21, 34. Like SPPs in the optical frequency, spoof SPPs is a kind of TM surface wave. The design process is analytical and the experimental results agree well with the numerical simulations. The energy is coupled from the slit to the subwavelength corrugated structure on the output surface of the metal to propagate spoof SPPs and radiate a narrow broadside beam with high directivity. The antenna is fed at center of the structure through a slit, connecting to a feeding waveguide, as illustrated in Fig.
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