Modeling of a New H-C Shape Non-Periodic Metamaterial Resonator (HC-SRR) for Multi-band Applications

Abstract

Multi-band structures contribute in one way or another to the miniaturization of microwave circuits. These structures have the advantage of providing the same electronic function for different frequency bands and for a single compact circuit. In this work, a new metamaterial resonator is modeled for multi-band applications. The proposed structure is a non-periodic split-ring resonator of H-C shape (HC-SRR). The copper patch of the HC-SRR is printed on the upper side of the used dielectric substrate which is Rogers RO 4003 of physical characteristics (ε_r=3.55 and tgδ=0.0027). The electrical dimensions of the HC-SRR basic cell are optimized at (0.41λ_0×0.42λ_0), where λ_0 is the free space wavelength calculated at the lowest operating frequency which is 8.22 GHz. The HC-SRR is modeled based on its equivalent electrical circuit containing the (L_s-C_s) series branches. Other physical characteristics of the proposed resonator are obtained such as permeability and electric field to justify the impact and efficiency of HC-SRR for multi-band applications.