Estudio de las propiedades numéricas de los métodos FDTD de dos pasos

Abstract

In this work we analyze several two-stage split-step finite-difference time-domain (2SS-FDTD) schemes and compare their performance with that of the traditional FDTD formulation. We present the numerical dispersion relations and the local truncation errors. All the schemes studied show error terms that depend on the time step multiplied by the spatial derivatives. We show that these error terms are especially critical in the locally one-dimensional (LOD)-FDTD scheme. To illustrate the relevance of these terms we simulate the propagation of the fundamental mode in a rectangular waveguide with a narrow iris.