Modelling of photonic crystal fiber based on layered inclusions

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 ap...

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Main Authors: Grujic, T, Kuhlmey, B, De Sterke, C, Poulton, C
Format: Journal article
Language:English
Published: Optical Society of American (OSA) 2009
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author Grujic, T
Kuhlmey, B
De Sterke, C
Poulton, C
author_facet Grujic, T
Kuhlmey, B
De Sterke, C
Poulton, C
author_sort Grujic, T
collection OXFORD
description 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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spelling oxford-uuid:13bcfba1-3d9c-48de-9cf3-14f96df608702022-03-26T10:15:31ZModelling of photonic crystal fiber based on layered inclusionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:13bcfba1-3d9c-48de-9cf3-14f96df60870EnglishSymplectic Elements at OxfordOptical Society of American (OSA)2009Grujic, TKuhlmey, BDe Sterke, CPoulton, CPhotonic 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.
spellingShingle Grujic, T
Kuhlmey, B
De Sterke, C
Poulton, C
Modelling of photonic crystal fiber based on layered inclusions
title Modelling of photonic crystal fiber based on layered inclusions
title_full Modelling of photonic crystal fiber based on layered inclusions
title_fullStr Modelling of photonic crystal fiber based on layered inclusions
title_full_unstemmed Modelling of photonic crystal fiber based on layered inclusions
title_short Modelling of photonic crystal fiber based on layered inclusions
title_sort modelling of photonic crystal fiber based on layered inclusions
work_keys_str_mv AT grujict modellingofphotoniccrystalfiberbasedonlayeredinclusions
AT kuhlmeyb modellingofphotoniccrystalfiberbasedonlayeredinclusions
AT desterkec modellingofphotoniccrystalfiberbasedonlayeredinclusions
AT poultonc modellingofphotoniccrystalfiberbasedonlayeredinclusions