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).

中文翻译：

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基于二维电路的双向异性 Omega 介质

在一维中，已经为具有 omega 响应（omega 介质）的双各向异性材料建立了电路网络表示。然而，基于二维电路或传输线的超材料仅限于那些只有磁和电响应的材料。本文提出了一种等效于 omega 介质的基于 2-D 电路的超材料。提出并使用电路模拟器验证了由非对称 $\pi $ -networks 组成的集总单元单元。使用透射 (ABCD) 矩阵执行超材料的电路分析。然后在均质极限中建立中等当量。探索了二维欧米茄介质作为具有相位和功率流控制的阻抗匹配层的应用，并开发了设计程序。