NDLI: Birefringence Analysis of Photonic-Bandgap Fibers Using the Hexagonal Yee's Cell

Content Provider	IEEE Xplore Digital Library
Author	Aghaie, K.Z. Shanhui Fan Digonnet, M.J.F.
Copyright Year	1965
Abstract	A full-vectorial finite-difference scheme utilizing the hexagonal Yee's cell is used in this paper to analyze the modes of photonic-bandgap fibers with C₆ v symmetry. Because it respects the fiber's native symmetry, this method is free from any numerical birefringence. We also incorporate in it techniques for reducing the memory requirement (up to 3 to 4 times) and computational time, in particular by exploiting some of the symmetry properties of these fibers. Using sub-pixel averaging, we demonstrate quadratic convergence for the fundamental mode's effective index dependence on spatial resolution. We show that this method can be used to calculate the beat length of PBFs in which a birefringence is introduced by applying a small unidirectional stretch to the fiber cross section along one of its axes. Abrupt variations of the modeled fiber geometries with spatial resolution lead to oscillatory beat length convergence behavior. We can obtain a better estimate for beat length by averaging these oscillations. We apply a strong perturbation analysis to the fiber's unperturbed mode, calculated by our finite-difference method, to perform this averaging in a rigorous way. By fitting a polynomial to the predicted beat lengths as a function of grid spacing, we obtain an accurate estimate of the beat length at zero grid spacing. Reasonable convergence for the beat length is observed using a single processor with 8 GB of memory.
Sponsorship	IEEE Lasers and Electro-Optics Society
Starting Page	920
Ending Page	930
Page Count	11
File Size	1012805
File Format	PDF
ISSN	00189197
Volume Number	46
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Birefringence Optical fibers Finite difference methods Convergence Spatial resolution Optical waveguides Optical waveguide theory Optical fiber theory Time domain analysis Lead waveguide theory elliptical waveguides finite difference methods optical fibers
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Condensed Matter Physics Electrical and Electronic Engineering

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