Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

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

Not Accessible

Your library or personal account may give you access

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
More Like This
Limitations of the wide-angle beam propagation method in nonuniform systems

Charles Vassallo
J. Opt. Soc. Am. A 13(4) 761-770 (1996)

Highly efficient noniterative full-vectorial beam propagation method based on the alternating-direction implicit scheme

Yang Ji, Binfeng Yun, Guohua Hu, and Yiping Cui
Opt. Lett. 32(21) 3194-3196 (2007)

Wide-angle beam propagation method without using slowly varying envelope approximation

Khai Q. Le and Peter Bienstman
J. Opt. Soc. Am. B 26(2) 353-356 (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 Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

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

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved