Abstract :
The FDTD modeling of bodies of revolution (BOR) in cylindrical coordinates has already been established (see Taflove, A., "Computational Electrodynamics-The Finite-Difference Time-Domain Method", Artech House, 1995). The FDTD computation of field propagation in dispersive media with Cartesian coordinates is also well known (see Taflove, 1995; Kunz, K.S. and Luebbers, R.J., "The Finite Difference Time Domain Method for Electromagnetics", CRC Press, 1993). Both approaches are combined in order to obtain results corresponding to the field variations in a dispersive medium being circular symmetric around an axis. As an example, the case of a plasma column is considered. A previously derived expression for the complex permittivity of this medium (see Kunz and Luebbers, 1993) is improved in order to account for the collective effects between the charged particles.
Keywords :
Maxwell equations; convolution; dispersion (wave); dispersive media; electromagnetic field theory; finite difference time-domain analysis; plasma electromagnetic wave propagation; Cartesian coordinates; FDTD; Maxwell equations; body of revolution; charged particles; complex permittivity; cylindrical coordinates; dispersive effects; dispersive media; field propagation; plasma column; recursive convolution method; Computer aided software engineering; Conductivity; Dispersion; Equations; Finite difference methods; Frequency; Large Hadron Collider; Permittivity; Plasma density; Time domain analysis;
