Recent New Trends for Solving Open-Region Problems with Refinement of Taylor Polynomial Order [EM Programmer´s Notebook]

An important issue for solving open-region problems using the Finite-Difference Time-Domain (FDTD) Method is the truncation of the computational domain. This article experimentally demonstrates an efficient and simple perfectly matched layer (PML) absorbing boundary condition (ABC) implementation using Berenger´s split-field scheme. The method relies on approximating the exponential function present in PML field-updating coefficients with a low-order Taylor series. It was observed that with a reduced PML thickness - which represented a good balance between error reduction and computer burden - the numerical reflection that a PML absorbing boundary condition produced was less with the low-order Taylor´s series approximation than that resulting from a higher-order approximation.