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

Full Article  |  PDF Article
OSA Recommended Articles
The complex Jacobi iterative method for three-dimensional wide-angle beam propagation

Khai Q. Le, R. Godoy-Rubio, Peter Bienstman, and G. Ronald Hadley
Opt. Express 16(21) 17021-17030 (2008)

Complex modes and instability of full-vectorial beam propagation methods

Huan Xie, Wangtao Lu, and Ya Yan Lu
Opt. Lett. 36(13) 2474-2476 (2011)

Fast three-dimensional generalized rectangular wide-angle beam propagation method using complex Jacobi iteration

Khai Q. Le and Peter Bienstman
J. Opt. Soc. Am. B 26(7) 1469-1472 (2009)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (29)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription