Title :
On the Stability of the Finite-Difference Time-Domain Modeling of Lorentz Media
Author :
Panaretos, Anastasios H. ; Díaz, Rodolfo E.
Author_Institution :
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA
fDate :
6/1/2011 12:00:00 AM
Abstract :
The stability analysis is presented for the finite-difference time-domain modeling of a Lorentz dielectric. In particular this study is focused on the Young scheme that employs the polarizability and the polarization current for the representation of the Lorentz permittivity, and collocates temporally the magnetic field with the polarization current. The Routh criterion is employed for the stability limit determination. The necessary conditions that ensure stability are thoroughly derived for the general as well as for limiting cases.
Keywords :
Routh methods; dielectric materials; finite difference time-domain analysis; magnetic fields; permittivity; polarisation; Lorentz dielectric; Lorentz media; Lorentz permittivity; Routh criterion; Young scheme; finite-difference time-domain modeling; magnetic field; polarization current; stability analysis; Finite difference methods; Mathematical model; Numerical stability; Polynomials; Stability criteria; Time domain analysis; Finite-difference time-domain (FDTD) method; Lorentz dielectric; Young scheme; stability;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2011.2136374
