Unconditionally stable locally one dimensional wave equation PML algorithm for truncating 2-D FDTD simulations

Abstract

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. (C) 2007 Wiley Periodicals, Inc.