Title :
Development of a reduced dispersion-error method for the efficient treatment of time-dependent electromagnetic wave interactions
Author :
Charitou, Konstantinos S. ; Kantartzis, Nikolaos V. ; Antonopoulos, Christos S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Aristotle Univ. of Thessaloniki
fDate :
4/1/2006 12:00:00 AM
Abstract :
A consistent technique for the highly accurate solution of partial differential equations (PDEs) that control the advancement of various electromagnetic field problems is presented in this paper. The new algorithm secedes from the rigid finite-differencing framework of most mainstream time-domain approaches, casting all governing PDEs into space-time form to obtain a robust temporal update process. Spatial discretization, on the other hand, is conducted by truncating the proper Fourier spectrum via a windowing operation and inversion of the ensuing filtered series. So, the proposed schemes allow the stable extraction of discrete transfer-function equivalents and decrease the overall dispersion error, as proven by various instructive applications
Keywords :
Fourier transform spectra; dispersion (wave); finite difference time-domain analysis; partial differential equations; FDTD method; Fourier spectrum; PDE; discrete transfer-function equivalents; dispersion error; electromagnetic wave interactions; partial differential equation; reduced dispersion-error; robust temporal; space-time form; spatial discretization; spectral methods; state-space representation; transient analysis; Casting; Electromagnetic fields; Electromagnetic scattering; Finite difference methods; Frequency domain analysis; Partial differential equations; Robustness; Stability; Time domain analysis; Transfer functions; Electromagnetic fields; FDTD method; spectral methods; state-space representation; transient analysis;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.872462
