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.
© 1997 Optical Society of America
Yih-Peng Chiou and Hung-chun Chang, "Efficient beam-propagation method based on Padé approximants in the propagation direction," Opt. Lett. 22, 949-951 (1997)