Lorentz Dispersive Metamaterial for Single-mode Dual-band Antenna Design

This paper explores the attributes of the Lorentz model dispersive material, Lorentz-dispersive material in short, and its application in antenna design. Initially, the Lorentz model and its physical interpretation will be elucidated. Subsequently, the material with Lorentz dispersive permittivity and permeability will be used for antenna designs. Owing to the unique dispersive characteristics of permittivity and permeability, leading to a higher refractive index at lower frequencies and a lower refractive index at higher frequencies, the wavelength within the Lorentz-dispersive material can remain consistent across two distinct frequencies. For the application, the conventional rectangular patch antenna is designed employing Lorentz-dispersive material and metamaterial. Leveraging the consistent wavelength within the Lorentz-dispersive property at two specific frequencies, the patch can maintain an identical electrical size across two different frequencies. This enables the TM10 (or TM01) mode to operate simultaneously at both frequencies. The outcomes further demonstrate that an n-mode antenna can achieve operation at 2n frequencies by employing appropriately chosen Lorentz-dispersive metamaterial as a substrate.