A System Stability Analysis for a Time-delayed Four Meander Line Antenna Legs Birdcage for Helicon Excitation with Titanium Alloy and Copper Legs

Ofer Aluf

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A four meander line antenna legs birdcage for helicon excitation with titanium alloy and copper legs is used in many applications. Helicon waves are electromagnetic waves which propagate in magnetized plasma. An approach for helicon plasma source improvement consists in optimizing helicon wave excitation by means of specific antenna designs. The antenna is composed of N1 identical meander line antenna legs equally distributed on a cylinder of radius Rc. We consider an \mathrm{N}-{1}=4 design. Due to the RF antenna leg parasitic effect we get each leg's current with delay \tau-{k} (k is a leg number index, \mathrm{k}=1,\ldots,4). For simplicity, we assume all time delays are equal, \tau-{k}=\tau for k = 1, 2, 3, 4. We present a practical guide which combines graphical information with theoretical analysis to effectively study the local stability of models involving delay dependent parameters. The stability of a given steady state is determined by the graphs of some function of \tau.

Original languageEnglish
Title of host publication2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781538695494
DOIs
StatePublished - 1 Nov 2019
Event2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019 - Tel-Aviv, Israel
Duration: 4 Nov 20196 Nov 2019

Publication series

Name2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019

Conference

Conference2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems, COMCAS 2019
Country/TerritoryIsrael
CityTel-Aviv
Period4/11/196/11/19

Keywords

  • Bifurcation
  • Delay Differential Equations (DDEs)
  • Helicon plasma
  • Helicon wave
  • Meander line antenna
  • Stability

Fingerprint

Dive into the research topics of 'A System Stability Analysis for a Time-delayed Four Meander Line Antenna Legs Birdcage for Helicon Excitation with Titanium Alloy and Copper Legs'. Together they form a unique fingerprint.

Cite this