Abstract

Photonic crystal fibers often consist of rotationally symmetric inclusions in an otherwise uniform background medium. The band diagrams and modes of such structures can be efficiently calculated using geometry-specific methods that exploit this rotational symmetry. Until now, these have only been applied to fibers in which the inclusions are circular and have a uniform refractive index. Here, we generalize this to arbitrary rotationally symmetric inclusions using a transfer matrix approach, and we implement this approach in an approximate scalar method, which is valid for low-index contrasts and in the rigorous Rayleigh multipole method. We apply the methods to structures incorporating inclusions with graded refractive indices and to structures incorporating metal rings.

© 2009 Optical Society of America

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History
Original Manuscript: May 11, 2009
Manuscript Accepted: June 17, 2009
Published: September 4, 2009

References

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Author Affiliations

Thomas Grujic, Boris T. Kuhlmey, C. Martijn de Sterke

University of Sydney

Chris G. Poulton

University of Technology

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