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

Numerical studies of split-operator finite-difference alternating-direction implicit propagation techniques based on generalized Padé approximants

Not Accessible

Your library or personal account may give you access

Abstract

We study numerically high-order propagation methods that incorporate representations of the exponential of two noncommuting operators as alternating products of Padé approximants of the individual operators. We demonstrate that these generalized Padé approximants are easily assembled through simple recursions and verify the central fact that their order need be far less than that of the overall method. We then analyze light propagation through an integrated-optic microlens using a sixth-order generalized Padé technique and compare its rate of convergence to that of standard propagation algorithms.

© 1992 Optical Society of America

Full Article  |  PDF Article
More Like This
Wide-angle beam propagation using Padé approximant operators

G. Ronald Hadley
Opt. Lett. 17(20) 1426-1428 (1992)

Efficient beam-propagation method based on Padé approximants in the propagation direction

Yih-Peng Chiou and Hung-chun Chang
Opt. Lett. 22(13) 949-951 (1997)

Generalized propagation techniques

Björn Hermansson and David Yevick
Opt. Lett. 16(6) 354-356 (1991)

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 (1)

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 (20)

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