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Unconditionally stable locally one dimensional wave equation PML algorithm for truncating 2‐D FDTD simulations
Author(s) -
Ramadan Omar
Publication year - 2008
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22976
Subject(s) - finite difference time domain method , perfectly matched layer , limit (mathematics) , stability (learning theory) , microwave , mathematics , wave equation , finite difference method , scalar (mathematics) , mathematical analysis , algorithm , physics , computer science , optics , quantum mechanics , geometry , machine learning
Unconditionally, stable locally one dimensional (LOD) scalar wave equation (WE) perfectly matched layer (PML) formulations are presented for truncating two dimensional (2‐D) open region finite difference time domain (FDTD) grids. The proposed formulations remove the Courant Friedrichs Lewy (CFL) stability limit of the explicit FDTD algorithm and require solving less field equations as compared with the alternating direction implicit (ADI) WE‐PML formulations. Numerical example carried out in 2‐D domain is included to show the validity of the proposed formulations. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 18–22, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22976