3-D Discrete Dispersion Relation, Numerical Stability, and Accuracy of the Hybrid FDTD Model for Cold Magnetized Toroidal Plasma

Author

Surkova, Maryna ; Tierens, Wouter ; Pavlenko, Ivan ; Van Eester, Dirk ; Van Oost, Guido ; De Zutter, Daniel

Author_Institution

Dept. of Appl. Phys., Ghent Univ., Ghent, Belgium

Volume

62

Issue

12

fYear

2014

fDate

Dec. 2014

Firstpage

6307

Lastpage

6316

Abstract

The finite-difference time-domain (FDTD) method in cylindrical coordinates is used to describe electromagnetic wave propagation in a cold magnetized plasma. This enables us to study curvature effects in toroidal plasma. We derive the discrete dispersion relation of this FDTD scheme and compare it with the exact solution. The accuracy analysis of the proposed method is presented. We also provide a stability proof for nonmagnetized uniform plasma, in which case the stability condition is the vacuum Courant condition. For magnetized cold plasma we investigate the stability condition numerically using the von Neumann method. We present some numerical examples which reproduce the dispersion relation, wave field structure and steady state condition for typical plasma modes.

Keywords

dispersion relations; finite difference time-domain analysis; numerical stability; plasma electromagnetic wave propagation; 3D discrete dispersion relation; FDTD scheme; cold magnetized toroidal plasma; curvature effects; cylindrical coordinates; electromagnetic wave propagation; finite-difference time-domain method; hybrid FDTD model; nonmagnetized uniform plasma; numerical stability; plasma modes; stability condition; steady state condition; vacuum Courant condition; von Neumann method; wave field structure; Dispersion; Equations; Finite difference methods; Mathematical model; Numerical stability; Plasmas; Time-domain analysis; Boundary conditions; discretized dispersion relation; finite-difference time-domain (FDTD) method; magnetized plasma; numerical stability;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2014.2361902

Filename

6918408