Von Neumann stability analysis of the FDTD method applied to non‐magnetised plasma antennas. Issue 6 (12th March 2018)

• Record Type: Journal Article
• Authors: Ghaderi, Mohammadreza; Moradi, Gholamreza
• Is Part Of: IET microwaves, antennas & propagation. Volume 12:Issue 6(2018)
• Page Start: 885
• Page End: 889
• Publication Date: 2018-03-12
• Subjects: antennas in plasma -- finite difference time‐domain analysis -- linear algebra; Von Neumann stability analysis -- FDTD method -- nonmagnetised plasma antennas -- finite difference time domain analysis -- Boltzmann momentum -- Maxwell's equation -- linear algebra -- Courant‐Fredrichs‐Lewy stability limit; Microwaves -- Periodicals; Microwave antennas -- Periodicals; Antennas (Electronics) -- Periodicals; Radio wave propagation -- Periodicals; Microwave communication systems -- Periodicals; 621.381305
• DOI: 10.1049/iet-map.2017.0906
• Languages: English
• ISSNs: 1751-8725

Abstract

Abstract : The finite difference time domain (FDTD) analysis of plasma antennas, according to the fluid modelling of plasma has matured recently. By coupling other equations such as fluid or Boltzmann momentum relation to Maxwell's equation set, the famous Courant‐Fredrichs‐Lewy stability limit cannot guarantee the convergence of solutions. In plasma cases, explicitly coupling Maxwell's equations with the constitutive equation cause the stability condition to depend on the plasma parameters ( ω p, υ c ) in addition to mesh size, and the denser the plasma is, the less stable solutions are. Here, a well‐founded proof to a modified stability condition is presented using linear algebra for both collision‐less and collisional non‐magnetised plasma. Furthermore, the derived values are validated numerically.