Unconditionally stable Crank-Nicolson nearly PML algorithm for truncating linear Lorentz dispersive FDTD domains

Author

Ramadan, Omar

Author_Institution

Dept. of Comput. Eng., Eastern Mediterranean Univ., Gazi Magusa

Volume

54

Issue

6

fYear

2006

fDate

6/1/2006 12:00:00 AM

Firstpage

2807

Lastpage

2812

Abstract

In this paper, unconditionally stable formulations of the nearly perfectly matched layer are presented for truncating linear dispersive finite-difference time-domain (FDTD) grids. In the proposed formulations, the Crank-Nicolson and bilinear frequency-approximation techniques are used to obtain the update equations for the field components in linear dispersive media. A numerical example carried out in a one-dimensional Lorentz dispersive FDTD domain is included and it has been observed that the proposed formulations not only give accurate results, but also completely remove the stability limit of the conventional FDTD algorithm

Keywords

Lorentz transformation; electromagnetic wave propagation; finite difference time-domain analysis; function approximation; Crank-Nicolson; Lorentz dispersive FDTD domains; PML algorithm; bilinear frequency-approximation; bilinear transformation; finite difference time domain; linear dispersive FDTD grids; linear dispersive media; perfectly matched layer; Anisotropic magnetoresistance; Boundary conditions; Dispersion; Equations; Finite difference methods; Frequency; Helium; Perfectly matched layers; Stability; Time domain analysis; Bilinear transformation; Crank–Nicolson (CN); Lorentz; dispersive; finite difference time domain (FDTD); perfectly matched layer (PML);

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2006.874896

Filename

1643620