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Article
Is Foster's Reactance Theorem Satisfied in Double-Negative and Single-Negative Media?
Departmental Papers (ESE)
  • Nader Engheta, University of Pennsylvania
Abstract
In this Letter, we address the issue of Foster's reactance theorem for the material media in which one or both of the material parameters ε and μ may possess negative real parts. We demonstrate that this theorem is indeed satisfied for a one-port termination filled with a lossless metamaterial with negative real permittivity and permeability, known as a "double-negative (DNG)" medium, or with a lossless metamaterial with either negative real permittivity or negative real permeability, which can be named as a "single-negative (SNG)" medium. However, in the case of DNG media when the reactive input impedance of such a termination is compared with that of its counterpart filled with a conventional lossless "double-positive (DPS)" material, it is found that the two reactances have opposite signs. Similar conclusions can be made for a termination filled with a lossless epsilon-negative (ENG) material when it is compared with that of its mu-negative (MNG) counterpart. Therefore, if a one-port termination filled with a lossless DPS or ENG material possesses inductive input reactance, when the same termination is filled instead with a lossless DNG or MNG material, its input reactance may be capacitive.
Document Type
Journal Article
Date of this Version
10-5-2003
Comments
Postprint version. Published in Microwave and Optical Technology Letters, Volume 39, Issue 1, October 5 2003, pages 11-14.
Publisher URL: http://www3.interscience.wiley.com/cgi-bin/jissue/104551834

A portion of this work was presented and appeared in the CD of the XXVII General Assembly of International Union of Radio Science (URSI GA’02), Maastricht, The Netherlands, August 17-24, 2002.
Keywords
  • composite materials,
  • negative permittivity,
  • metamaterials
Citation Information
Nader Engheta. "Is Foster's Reactance Theorem Satisfied in Double-Negative and Single-Negative Media?" (2003)
Available at: http://works.bepress.com/nader_engheta/1/