A nonlinear-dynamics based approach to stability analysis of non-foster networks with electrically-small antennas

John F. McCann, James Aberle, Ying-Cheng Lai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Non-Foster networks have the potential to provide wideband matching to electrically-small antennas. Impedance data from a model of an electrically-small monopole provides the starting point of this work. A lumped-element model of the monopole is developed, and used to design a matching network using a shunt negative capacitor and L-section sub-network. The resulting network provides a larger bandwidth than that with passive matching. Stability of the network is analyzed under the assumption of ideal negative capacitor, and it is demonstrated that a change in an antenna impedance can induce instability. Transient analysis using Agilent ADS software, calculations based on differential equations using MATLAB, and s-domain analysis are all employed. The network is similarly analyzed when the negative capacitor is replaced by an equivalent J-transform circuit section, allowing for the inclusion of a nonlinear negative resistance. Nonlinear differential equations are developed for general stability analysis of non-Foster networks.

Original languageEnglish (US)
Title of host publication2013 IEEE MTT-S International Microwave Symposium Digest, MTT 2013
DOIs
StatePublished - Dec 1 2013
Event2013 IEEE MTT-S International Microwave Symposium Digest, MTT 2013 - Seattle, WA, United States
Duration: Jun 2 2013Jun 7 2013

Publication series

NameIEEE MTT-S International Microwave Symposium Digest
ISSN (Print)0149-645X

Other

Other2013 IEEE MTT-S International Microwave Symposium Digest, MTT 2013
CountryUnited States
CitySeattle, WA
Period6/2/136/7/13

Keywords

  • Antenna matching
  • Antennas
  • Nonlinear microwave circuits
  • Stability

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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