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Using a full-vector finite element method (FEM) with curvilinear hybrid edge/nodal elements, a single-mode nature of index-guiding photonic crystal fibers, also called holey fibers (HFs), is accurately analyzed as a function of wavelength. The cladding effective index, which is very important design parameter for realizing a single-mode HF and is defined as the effective index of the infinite photonic crystal cladding if the core is absent, is also determined using the FEM. In traditional fiber theory, a normalized frequency, *V*, is often used to determine the number of guided modes in step-index fibers. In order to adapt the concept of *V*-parameter to HFs, the effective core radius, *a*_{eff}, is determined using the actual numerical aperture given by the FEM. Furthermore, the group velocity dispersion of single-mode HFs is calculated as a function of their geometrical parameters, and the modal birefringence of HFs is numerically investigated.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E85-C No.4 pp.881-888

- Publication Date
- 2002/04/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- Special Section INVITED PAPER (Special Issue on Optical Fibers and Devices)

- Category

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Masanori KOSHIBA, "Full-Vector Analysis of Photonic Crystal Fibers Using the Finite Element Method" in IEICE TRANSACTIONS on Electronics,
vol. E85-C, no. 4, pp. 881-888, April 2002, doi: .

Abstract: Using a full-vector finite element method (FEM) with curvilinear hybrid edge/nodal elements, a single-mode nature of index-guiding photonic crystal fibers, also called holey fibers (HFs), is accurately analyzed as a function of wavelength. The cladding effective index, which is very important design parameter for realizing a single-mode HF and is defined as the effective index of the infinite photonic crystal cladding if the core is absent, is also determined using the FEM. In traditional fiber theory, a normalized frequency, *V*, is often used to determine the number of guided modes in step-index fibers. In order to adapt the concept of *V*-parameter to HFs, the effective core radius, *a*_{eff}, is determined using the actual numerical aperture given by the FEM. Furthermore, the group velocity dispersion of single-mode HFs is calculated as a function of their geometrical parameters, and the modal birefringence of HFs is numerically investigated.

URL: https://global.ieice.org/en_transactions/electronics/10.1587/e85-c_4_881/_p

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@ARTICLE{e85-c_4_881,

author={Masanori KOSHIBA, },

journal={IEICE TRANSACTIONS on Electronics},

title={Full-Vector Analysis of Photonic Crystal Fibers Using the Finite Element Method},

year={2002},

volume={E85-C},

number={4},

pages={881-888},

abstract={Using a full-vector finite element method (FEM) with curvilinear hybrid edge/nodal elements, a single-mode nature of index-guiding photonic crystal fibers, also called holey fibers (HFs), is accurately analyzed as a function of wavelength. The cladding effective index, which is very important design parameter for realizing a single-mode HF and is defined as the effective index of the infinite photonic crystal cladding if the core is absent, is also determined using the FEM. In traditional fiber theory, a normalized frequency, *V*, is often used to determine the number of guided modes in step-index fibers. In order to adapt the concept of *V*-parameter to HFs, the effective core radius, *a*_{eff}, is determined using the actual numerical aperture given by the FEM. Furthermore, the group velocity dispersion of single-mode HFs is calculated as a function of their geometrical parameters, and the modal birefringence of HFs is numerically investigated.},

keywords={},

doi={},

ISSN={},

month={April},}

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TY - JOUR

TI - Full-Vector Analysis of Photonic Crystal Fibers Using the Finite Element Method

T2 - IEICE TRANSACTIONS on Electronics

SP - 881

EP - 888

AU - Masanori KOSHIBA

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Electronics

SN -

VL - E85-C

IS - 4

JA - IEICE TRANSACTIONS on Electronics

Y1 - April 2002

AB - Using a full-vector finite element method (FEM) with curvilinear hybrid edge/nodal elements, a single-mode nature of index-guiding photonic crystal fibers, also called holey fibers (HFs), is accurately analyzed as a function of wavelength. The cladding effective index, which is very important design parameter for realizing a single-mode HF and is defined as the effective index of the infinite photonic crystal cladding if the core is absent, is also determined using the FEM. In traditional fiber theory, a normalized frequency, *V*, is often used to determine the number of guided modes in step-index fibers. In order to adapt the concept of *V*-parameter to HFs, the effective core radius, *a*_{eff}, is determined using the actual numerical aperture given by the FEM. Furthermore, the group velocity dispersion of single-mode HFs is calculated as a function of their geometrical parameters, and the modal birefringence of HFs is numerically investigated.

ER -