Title :
Study on the stability of the FDTD extension for modeling transient propagation in dispersive bi-isotropic media
Author :
Grande, A. ; Barba, I. ; Cabeceira, A.C. ; Represa, J. ; Gonzalez, O. ; Pereda, J.A.
Author_Institution :
Dpto. Electricidad y Electronica, Valladolid Univ., Spain
Abstract :
This paper addresses the problem of the stability analysis and the numerical dispersion of a recently developed extension of the conventional FDTD scheme to incorporate bi-isotropic media. This FDTD formulation developed is a second order accurate conditionally stable algorithm that allows computing transient wave propagation in general dispersive lossy bi-isotropic media. The von Neumann technique is applied to compute the associated characteristic polynomial. The stability condition is that all the roots of this polynomial have modulus less than or equal to unity. For full bi-isotropic media the roots have to be numerically computed as a function of the medium and simulation parameters. The dispersion relation for a dispersive bi-isotropic medium is derived.
Keywords :
dispersive media; electromagnetic wave propagation; finite difference time-domain analysis; polynomials; stability; FDTD extension; characteristic polynomial; dispersion relation; dispersive bi-isotropic media; lossy bi-isotropic media; numerical dispersion; polynomial roots; stability analysis; transient propagation modeling; transient wave propagation; von Neumann technique; Bismuth; Computational modeling; Dispersion; Electromagnetic fields; Equations; Finite difference methods; Polynomials; Propagation losses; Stability analysis; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1551743