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Application of modified Padé approximant operators to time-domain beam propagation methods

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Abstract

We demonstrate the usefulness of the recently introduced modified Padé approximant operators for the solution of time-domain beam propagation problems. We show this both for a wideband method, which can take reflections into account, and for a split-step method for the modeling of ultrashort unidirectional pulses. The resulting approaches achieve high-order accuracy not only in space but also in time.

© 2009 Optical Society of America

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