## Wide-angle full-vector beam propagation method based on an alternating direction implicit preconditioner

JOSA A, Vol. 21, Issue 3, pp. 420-425 (2004)

http://dx.doi.org/10.1364/JOSAA.21.000420

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### Abstract

Wide-angle full-vector beam propagation methods (BPMs) for three-dimensional wave-guiding structures can be derived on the basis of rational approximants of a square root operator or its exponential (i.e., the one-way propagator). While the less accurate BPM based on the slowly varying envelope approximation can be efficiently solved by the alternating direction implicit (ADI) method, the wide-angle variants involve linear systems that are more difficult to handle. We present an efficient solver for these linear systems that is based on a Krylov subspace method with an ADI preconditioner. The resulting wide-angle full-vector BPM is used to simulate the propagation of wave fields in a *Y* branch and a taper.

© 2004 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

**History**

Original Manuscript: October 7, 2003

Manuscript Accepted: November 4, 2003

Published: March 1, 2004

**Citation**

Siu Lit Chui and Ya Yan Lu, "Wide-angle full-vector beam propagation method based on an alternating direction implicit preconditioner," J. Opt. Soc. Am. A **21**, 420-425 (2004)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-3-420

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