Abstract

In one dimension, a circuit network representation has been established for bianisotropic materials with an omega response (omega media). However, 2-D circuit-based or transmission-line metamaterials have been restricted to those with only magnetic and electric responses. This article proposes a 2-D circuit-based metamaterial that is equivalent to an omega medium. A lumped element unit cell composed of asymmetric $\pi $ -networks is proposed and validated using a circuit simulator. Circuit analysis of the metamaterial is performed using transmission (ABCD) matrices. A medium equivalency is then established in the homogeneous limit. The application of a 2-D omega medium as an impedance matching layer with phase and power flow control is explored, and a design procedure is developed. The impedance matching layer is then implemented using the proposed lumped element unit cell, and its performance is confirmed using Keysight’s Advanced Design System (ADS).

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