Title :
Investigation of the Stability of ADE-FDTD Methods for Modified Lorentz Media
Author :
Prokopidis, Konstantinos P. ; Zografopoulos, Dimitrios C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Aristotle Univ. of Thessaloniki, Thessaloniki, Greece
Abstract :
This letter addresses the stability problem of two auxiliary differential equation (ADE) finite-difference time-domain (FDTD) methods for the case of modified Lorentz media, using the combination of the von Neumann method and the Routh-Hurwitz criterion. A rigorous investigation supported by FDTD simulations designates that the stability criterion of the conventional FDTD method can be preserved via the proper selection of the difference and averaging operators. A set of conditions for the dispersive medium parameters is derived, providing the stability limit for both FDTD schemes with practical guidelines for evaluating the fitting of experimentally studied materials.
Keywords :
computational electromagnetics; differential equations; dispersive media; finite difference time-domain analysis; stability; ADE-FDTD method; Routh-Hurwitz criterion; auxiliary differential equation finite difference time-domain method; modified Lorentz Media; stability limit; von Neumann method; Dispersion; Finite difference methods; Media; Numerical stability; Stability criteria; Time-domain analysis; Auxiliary differential equations; dispersive media; finite-difference time-domain (FDTD) method; stability;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2014.2303170
