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
Numerical Approximation and Analysis
Original Manuscript: September 4, 2009
Revised Manuscript: October 6, 2009
Manuscript Accepted: October 8, 2009
Published: November 9, 2009
Khai Q. Le, Trevor Benson, and Peter Bienstman, "Application of modified Padé approximant operators to time-domain beam propagation methods," J. Opt. Soc. Am. B 26, 2285-2289 (2009)