Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 58, Issue 5, Pages 1559-1566Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2010.2044351
Keywords
Anisotropic media; artificial dielectrics; artificial materials; circuit analysis; circuit simulation; magnetic materials; microwave circuits; periodic structures; transmission line theory; transmission lines
Funding
- AFOSR [FA9550-08-1-0067]
- NSF [ECCS-0747623]
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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.
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