I. Introduction
The sub-wavelength resonant cavity antenna (RCA) has played an essential role in an antenna research community in order to enhance the directive radiation and gain performance. Its advantage is a low-profile antenna configuration that is applied instead of using an antenna array with the complicated feeding network to their antenna elements. The RCA configuration is usually formed by one cavity structure and single source radiator such as an aperture and patch resonant element. The existing cavity antennas can be shaped by paralleling two specific surfaces (planar structure) of a partially reflective surface (PRS) and perfect electric conductor (PEC) or artificial magnetic conductor (AMC) [1][2]. The optic ray approach is used to analyze the interaction with a reflection phase in a resonance distance. The analysis of the cavity distance is also associated with the Fabry-Perot (FP) resonator to figure out the two-surface separation. The two novel types of the PRS superstrates (act as a radiation aperture) consisting of the dielectric slab [3] and metallo-dielectric inclusion or frequency selective surface (FSS) [1][2]. The half-wavelength (λ/2) cavity creation can be formed by tailoring a quarter-thickness dielectric layer or particular FSS placing above a PEC surface. Moreover, the existing quarter-wavelength (λ/4) cavity configuration can replace the PEC surface with an AMC structure. In order to overcome the thin-profile cavity structure, the physical patterns both the PRS and AMC surfaces are able to modify for an arbitrary phase response of that the reflection property can deal with a phase difference in a small cavity distance [4]-[11]. The ultrathin RCA designs have been presented utilizing a multi-layer structure as an AMC-PRS inclusion of the complementary patterned array (patch- and mesh-type metallic surfaces) on a dielectric material slab. The formation of the AMC structure with a primary antenna was proposed by applying a high impedance profile. However, the overall height of their antenna designs increases due to the PRS and AMC thickness assembled consisting of multi-layer patterned arrays. In addition, it has a lot of the physical design parameters of metallic array patterns in a design process.