Predicting PML Performance at Normal Incidence in Cylindrical FDTD

Abstract

The main objective of this presentation is to apply discrete FDTD theory to the stretched-coordinates PML for cylindrical FDTD and derive the overall numerical reflection coefficient off the PML region as a function of all algorithmic parameters and harmonic solutions. For brevity, analysis are limited to normal incidence on the radially arrayed PML region. Obtained predictive equations are used to investigate PML absorption as a function of cylindrical harmonics and proximity to the axis of rotation.