Leaky Wave Radiation in a Linear Array of Capacitively Loaded Conducting Loops

Abstract

A linear array of capacitively loaded, electrically small conducting loops is modeled using the method of moments (MoMs) for a practical finite length array and an analytical approach for an ideal infinite length array. The complex propagation constant $k_g=\beta - j \alpha$ is modeled. When the wave number $\beta$ crosses below the free space value $k_0 $ , a leaky wave is triggered. This leaky mode antenna radiates omnidirectionally in the $\rho$ direction. The beam angle and beamwidth are determined from $\beta$ and $\alpha$ , respectively. The complex propagation constant found using the two methods (i.e., MoMs and analytical method) agree where computational extraction is possible.