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Browse Journals & Magazines > Lightwave Technology, Journal ...> Volume:14 Issue:5 Help

Noniterative vectorial beam propagation method with a smoothing digital filter

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3 Author(s)
Mansour, I. ; Dipartimento di Elettronica e Inf., Padova Univ., Italy ; Capobianco, A.-D. ; Rosa, C.

The alternating direction implicit (ADI) technique is used in the numerical solution scheme for each longitudinal step, in the well-known vectorial beam propagation method (VBPM). It is used to reduce the linear-system matrix into a set of tridiagonal ones, which can then be solved by Thomas algorithm. Solutions using standard (Crank-Nicolson) VBPM for step-index waveguides contain small oscillations, which can significantly reduce the accuracy of the solutions. We show that this “noise” can be removed by a properly tailored low-pass digital filter in the spatial frequency domain. Results become as accurate as those obtained by iterative techniques. Examples deal first with the scaler LP01 mode and a Gaussian field in a single-mode fiber converging to the vector HE11 mode. Second, with an optimized Ti:LiNbO3 bent waveguide using MgO. Finally, with a rib waveguide where advantages related to the use of the digital filter become very evident

Published in:
Lightwave Technology, Journal of  (Volume:14 ,  Issue: 5 )

Date of Publication: May 1996

Page(s):
908 - 913
ISSN :
0733-8724
INSPEC Accession Number:
5287826
Digital Object Identifier :
10.1109/50.495176
Product Type:
Journals & Magazines
Date of Current Version :
06 August 2002
Issue Date :
May 1996
Sponsored by :
IEEE Aerospace and Electronic Systems Society

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