FDTD computation of dispersive effects for a body of revolution

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.