Is Foster's reactance theorem satisfied in double-negative and single-negative media?
✍ Scribed by Nader Engheta
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 110 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
Abstract
In this paper, 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 called 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. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 39: 11–14, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11111