Tensor Transmission-Line Metamaterials

• Published in: IEEE transactions on antennas and propagation Vol. 58; no. 5; pp. 1559 - 1566
• Main Authors: Gok, Gurkan, Grbic, Anthony
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Analytical models; Anisotropic media; Antennas; Applied classical electromagnetism; Approximation; artificial dielectrics; artificial materials; circuit analysis; circuit simulation; Design engineering; Dispersion; Dispersions; Electromagnetic devices; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Equations; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Impedance; magnetic materials; Mathematical analysis; Metamaterials; microwave circuits; Optical design; Optical devices; periodic structures; Physics; Tensile stress; Tensors; transmission line theory; Transmission lines; Utilities; artificial dielectrics; Electromagnetism; Dispersion relations; circuit simulation; circuit analysis; artificial materials; Implementation; Transmission lines; Simulation; Microwave circuits; Anisotropic media; Tensor calculus; Magnetic materials; Transmission line theory; Metamaterial; Periodic structures
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2010.2044351

Transmission-line (TL) metamaterials possessing effective material parameters that are diagonal in the Cartesian basis have been previously studied. In this paper, TL metamaterials with arbitrary full tensors are introduced and analyzed. An approximate tensor analysis of the proposed metamaterials is first developed. Bloch analysis is then used to verify the approximate analysis and derive exact dispersion equations and impedance relations. Finally, simulation results are presented that validate the analysis and show the utility of this new class of metamaterials. The ability to design tensor metamaterials such as these is crucial to the practical implementation of novel devices derived through transformational optics/electromagnetics.