Efficient beam-propagation method based on Padé approximants in the propagation direction.

@article{Chiou1997EfficientBM,
  title={Efficient beam-propagation method based on Pad{\'e} approximants in the propagation direction.},
  author={Yih-Peng Chiou and H C Chang},
  journal={Optics letters},
  year={1997},
  volume={22 13},
  pages={
          949-51
        }
}
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. 
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