Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
  • Journal of Lightwave Technology
  • Vol. 21,
  • Issue 7,
  • pp. 1709-
  • (2003)

A Finite-Difference Time-Domain Beam-Propagation Method for TE-and TM-Wave Analyses

Not Accessible

Your library or personal account may give you access

Abstract

The application of the existing time-domain beam-propagation method (TD-BPM) based on the finite-difference (FD) formula has been limited to the TE-mode analysis. To treat the TM mode as well as the TE mode, an improved TD-BPM is developed using a low-truncation-error FD formula with the aid of the alternating-direction implicit scheme. To improve the accuracy in time,a Padé (2,2) approximant is applied to the time axis. Although the truncation error in time is found to be O(? t2), as in the case of the Padé (1,1) approximant, this method allows us to use a large time step. A substantial reduction in CPU time is found when compared to the conventional method in which a broadly banded matrix is solved by the Bi-CGSTAB. The effectiveness in evaluating the TE-and TM-mode waves is shown through the analysis of the power reflectivity from a waveguide facet. This method is also applied to the analysis of a waveguide grating. The accuracy and efficiency of the TD-BPM are assessed in comparison with the finite-difference time-domain method.

© 2003 IEEE

PDF Article
More Like This
Wide-angle propagating beam analysis based on the generalized Douglas scheme for variable coefficients

Junji Yamauchi, Jun Shibayama, and Hisamatsu Nakano
Opt. Lett. 20(1) 7-9 (1995)

Modified finite-difference beam-propagation method based on the Douglas scheme

Lizhong Sun and Gar Lam Yip
Opt. Lett. 18(15) 1229-1231 (1993)

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved