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Beam propagation method using a [(p–1)/p] Padé approximant of the propagator

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Abstract

A new beam propagation method (BPM) is developed based on a direct approximation to the propagator by its p-1/p Padé approximant. The approximant is simple to construct and has the desired damping effect for the evanescent modes. The method is applied to a tapered waveguide for TM-polarized waves, based on the energy-conserving improvement of the one-way Helmholtz equation. Numerical results are compared with those obtained with other variants of the BPM.

© 2002 Optical Society of America

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