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Proceedings Paper

The Fast Fourier Factorization method applied to the study of arbitrary cross section microstructured optical fibers
Author(s): Philippe Boyer; Gilles Renversez; Evgueni Popov; Michel Neviere
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Paper Abstract

A new differential theory is developed for studying mode propagation in microstructured optical fibers (MOFs) with arbitrary cross section. The present method called Fast Fourier Factorization initially applied on gratings has been generalized to anisotropic and/or inhomogeneous media described in cylindrical coordinates. Thus, a new formulation of Maxwell equations are written in a truncated Fourier space taking account to the development truncations and discontinuities of opto-geometrical quantities. In the case of isotropic and homogeneous medium, the achieved first order differential set may be resolved with suitable algorithm which changes the boundary-value problem into an initial-value problem. To avoid numerical contaminations, the S-propagation algorithm is used. The numerical implementation of the FFF method is validated by comparison with the results computed with the Multipole Method for a six hole MOF. Then, new results for a MOF profile that cannot be directly studied with the Multipole Method are given.

Paper Details

Date Published: 7 July 2005
PDF: 12 pages
Proc. SPIE 5840, Photonic Materials, Devices, and Applications, (7 July 2005); doi: 10.1117/12.608325
Show Author Affiliations
Philippe Boyer, Univ. Paul Cezanne Aix-Marseille III (France)
Univ. de Provence (France)
Gilles Renversez, Univ. Paul Cezanne Aix-Marseille III (France)
Univ. de Provence (France)
Evgueni Popov, Univ. Paul Cezanne Aix-Marseille III (France)
Univ. de Provence (France)
Michel Neviere, Univ. Paul Cezanne Aix-Marseille III (France)
Univ. de Provence (France)


Published in SPIE Proceedings Vol. 5840:
Photonic Materials, Devices, and Applications
Goncal Badenes; Derek Abbott; Ali Serpenguzel, Editor(s)

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