title: Efficient beam-propagation method based on Padé approximants in the propagation direction.
abstract: We propose a novel beam-propagation method (BPM) based on the higher-order Padé approximants in both the transverse and the longitudinal directions. Extending the Padé approximation to the propagation direction and adopting the multistep method increase the programming effort by only a small amount. Compared with the conventional BPM's, this method is more accurate and efficient. The accuracy and the propagation step size are well predicted by a phase analysis.
authors.forename: Y P
authors.initials: YP
authors.lastname: Chiou
authors.forename: H C
authors.initials: HC
authors.lastname: Chang