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  • Vol. 27, Iss. 9 — May. 1, 2002
  • pp: 683–685

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

Ya Yan Lu and Pui Lin Ho  »View Author Affiliations


Optics Letters, Vol. 27, Issue 9, pp. 683-685 (2002)
http://dx.doi.org/10.1364/OL.27.000683


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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

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(130.2790) Integrated optics : Guided waves
(350.5500) Other areas of optics : Propagation

Citation
Ya Yan Lu and Pui Lin Ho, "Beam propagation method using a [(p– 1)/ p] Padé approximant of the propagator," Opt. Lett. 27, 683-685 (2002)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-27-9-683


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