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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 7 — Mar. 26, 2012
  • pp: 7966–7972
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Bend performance-enhanced photonic crystal fibers with anisotropic numerical aperture: errata

Benjamin Ward  »View Author Affiliations


Optics Express, Vol. 20, Issue 7, pp. 7966-7972 (2012)
http://dx.doi.org/10.1364/OE.20.007966


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Abstract

An error was made in converting the units of bend radius within the computer program used to obtain the reported results. This caused the calculated values of the bending induced stress to be significantly smaller than their true value. Corrected results for stress within the fiber and bend losses are reported. Since bending-induced stresses cause a relatively small correction to the refractive index profile, these corrections result in no changes in the main conclusions of this work.

© 2012 OSA

In evaluating Eq. (2) of the original manuscript [1

1. B. G. Ward, “Bend performance-enhanced photonic crystal fibers with anisotropic numerical aperture,” Opt. Express 16(12), 8532–8548 (2008). [CrossRef] [PubMed]

], the coiling radii rx and ry were expressed in units of cm and the positions x and y were expressed in units of µm requiring an additional factor of 10−4 in the numerator of this expression. In the in-house computer program used to calculate the mechanical and optical properties of the fiber this factor was incorrectly entered as 10−6 as would be the case if converting from µm to m. This error caused the bending-induced stress to be effectively neglected. This error affected all of the reported results therefore all of the calculations were repeated.

Fig. 2 A region of the revised finite element mesh near the core boundary showing both the core meshing scheme (upper right bolded hexagonal boundary) and the capillary meshing scheme (lower left bolded hexagonal boundary).
Fig. 3 Stress fields in MPa for a coil diameter of 47.6 cm: σxx (a), σyy (b), σzz (c), and σxy (d). The center of the coil is on the positive x axis.
Fig. 4 Calculated propagation losses as a function of air hole diameter to lattice pitch ratio (d/Λ) for the first four modes of the PCF with a coil diameter of 47.6 cm and coiling in the x direction.
Fig. 5 Calculated modal intensity profiles of the first four modes of the PCF with diameter to lattice pitch ratio (d/Λ = 0.12) with a coil diameter of 47.6 cm and coiling in the x direction.
Fig. 6 Calculated propagation losses as a function of air hole diameter to lattice pitch ratio (d/Λ) for the first four modes of the PCF with a coil diameter of 47.6 cm and coiling in the y direction.
Fig. 7 Calculated modal intensity profiles of the first four modes of the PCF with diameter to lattice pitch ratio (d/Λ = 0.12) with a coil diameter of 47.6 cm and coiling in the y direction.
Fig. 8 Calculated propagation losses as a function of coiling plane angle relative to the plane of the SAP for the first three modes of the PCF with a coil diameter of 47.6 cm and diameter to lattice pitch ratio (d/Λ = 0.12).
Fig. 9 Calculated propagation losses as a function of coiling diameter for the first four modes of the PCF with d/Λ = 0.12 and coiling in the x direction. The modal intensity plot insets are logarithmic in scale and show an example of how the SAP influence the guided modes depending on the coiling diameter.
Fig. 10 Calculated propagation losses as a function of coiling diameter for the first four modes of the PCF with d/Λ = 0.12 and coiling in the y direction. The modal intensity plot insets are logarithmic in scale and show an example of how the guided modes change with coiling diameter.
Fig. 11 Calculated propagation losses as a function of coiling diameter for the first three modes of a step-index fiber with 40 µm core diameter and a numerical aperture of 0.06.
Fig. 12 Bend-distorted mode field intensity plots of the first three modes of a step-index fiber with 40 µm core diameter and a numerical aperture of 0.06 coiled to a diameter of 6 cm. The circle on each plot indicates the extent of the core.
Fig. 13 Calculated propagation losses as a function of coiling diameter for the first three modes of a step-index fiber with 40 µm core diameter and a numerical aperture of 0.035.

References and links

1.

B. G. Ward, “Bend performance-enhanced photonic crystal fibers with anisotropic numerical aperture,” Opt. Express 16(12), 8532–8548 (2008). [CrossRef] [PubMed]

2.

M. Koshiba and Y. Tsuji, “Curvilinear hybrid edge/nodal elements with triangular shape for guided-wave problems,” J. Lightwave Technol. 18(5), 737–743 (2000). [CrossRef]

3.

B. G. Ward, “Solid-core photonic bandgap fibers for cladding-pumped Raman amplification,” Opt. Express 19(12), 11852–11866 (2011). [CrossRef] [PubMed]

OCIS Codes
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(140.3510) Lasers and laser optics : Lasers, fiber
(230.7370) Optical devices : Waveguides
(060.5295) Fiber optics and optical communications : Photonic crystal fibers

ToC Category:
Photonic Crystal Fibers

History
Original Manuscript: March 19, 2012
Published: March 21, 2012

Citation
Benjamin Ward, "Bend performance-enhanced photonic crystal fibers with anisotropic numerical aperture: errata," Opt. Express 20, 7966-7972 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-7-7966


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