Abstract
In this paper, a new nonparaxial time-domain beam-propagation method (TD–BPM) based on Padé
approximant for modeling ultrashort optical pulses has been proposed and verified. The high efficiency of the
technique in modeling long device interaction comes from solving the TD wave equation along one direction and
allowing the time window to follow the evolution of the pulse. The accuracy of the method was tested in three
different environments of homogenous and nondispersive medium, metallic, and dielectric waveguides and then was
applied to model ultrashort pulse propagation in a directional-coupler device. The characterization of the technique
shows excellent performance in terms of accuracy, efficiency, and stability, which the conventional paraxial
TD–BPM failed to achieve. The new TD–BPM is particularly well suited for the study of unidirectional
propagation of compact ultrashort temporal pulses over long distances in waveguide structures.
© 2007 IEEE
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