New Design Formula of the Cylindrical Hollow Dielectric Resonator Antenna Using Covariance Matrix Adaptation Evolutionary Strategy

Abstract

Cylindrical hollow dielectric resonator (DR) antenna (CHDRA) has been widespread studied not only because it has wideband characteristics but also can be used as a package cover. To reduce the difficulty of antenna design, a new design formula of CHDRA using covariance matrix adaptation evolutionary strategy (CMA-ES) is investigated in this paper. Both dielectric waveguide model (DWN) and transverse transmission line (TTL) technique are used to derive characteristic equations of the cylindrical hollow structure. By solving these equations, we determine the resonate frequency of the CHDRA and get the design formula of the CHDRA using by the method of CMA-ES. The maximum error of the formulas is 2.48% over the range of 9≤r≤27, 0.4≤h₂/r₂≤2, 0.3≤h₁/h₂≤0.8, and 0.3≤r₁/r₂≤0.8, where r, r_1, r_2, h_1, and h₂ are the dielectric constant, inner and outer radius, inner and outer height of the CHDRA, respectively.