Open AccessRelaxing CFL limit of FDTD by DWT
Author(s) -
Sun Zheng,
Shi LiHua,
Zhou YingHui
Publication year - 2014
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2013.4019
Subject(s) - finite difference time domain method , limit (mathematics) , mathematics , physics , computer science , electronic engineering , mathematical analysis , optics , engineering
To extend the Courant‐Friedrichs‐Lewy (CFL) limit, a discrete wavelet transform (DWT) is incorporated into the finite difference time domain (FDTD) scheme. With the Mallat algorithm for the decomposition and reconstruction of the electromagnetic components, the unstable spatial modes can be efficiently filtered out. Consequently, the original strict CFL limit of the FDTD can be significantly relaxed, and much execution time can be saved. The performance and versatility of the proposed method is demonstrated by the numerical examples.