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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 8 — Apr. 16, 2007
  • pp: 5262–5263
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The role of the second zero-dispersion wavelength in generation of supercontinua and bright-bright soliton-pairs across the zero-dispersion wavelength: erratum

Michael H. Frosz, Peter Falk, and Ole Bang  »View Author Affiliations


Optics Express, Vol. 15, Issue 8, pp. 5262-5263 (2007)
http://dx.doi.org/10.1364/OE.15.005262


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Abstract

An erratum is presented explaining that the observation in the original paper of a bright-bright soliton with one color in the anomalous dispersion region and the other color in the normal dispersion region was mistaken; both parts of the soliton-pair were located in regions with anomalous dispersion.

© 2007 Optical Society of America

In Ref. [1

1. M. H. Frosz, P. Falk, and O. Bang, “The role of the second zero-dispersion wavelength in generation of super-continua and bright-bright soliton-pairs across the zero-dispersion wavelength,” Opt. Express 13(16), 6181–6192 (2005). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-16-6181. [CrossRef] [PubMed]

] we described the role of the higher zero-dispersion wavelength (ZDW) when generating a supercontinuum in a photonic crystal fiber (PCF) with two ZDWs. It was, e.g., shown that the higher ZDW limits how far a soliton can red-shift, before transferring energy to a dispersive wave in the normal dispersion region. For one of the investigated PCF designs (pitch Λ = 1.2 μm, relative air-hole diameter d/Λ = 0.62) it was found that the energy transferred to ~ 1650 nm in the normal dispersion region did not broaden temporally, but instead seemed to form a bright-bright soliton-pair with a co-propagating soliton at ~ 1270 nm in the anomalous dispersion region.

We have recently found that there was an error in calculating the dispersion operator used in the split-step Fourier method, even though we used a sufficiently high number of β¯ -coefficients. For the fiber with Λ = 1.2 μm and d/Λ = 0.62 the error corresponded to a change of the dispersion profile, as shown in Fig. 1.

It is seen that the error caused the second ZDW to shift slightly to a higher wavelength, but much more importantly that a third ZDW occurs at about 1600 nm. Therefore there is anomalous dispersion at 1650 nm. This explains why the energy transferred from the soliton at ~ 1270 nm to ~ 1650 nm does not broaden temporally; it experiences anomalous dispersion and can therefore form a soliton. Both components of the temporally overlapping bright-bright soliton pair are thus experiencing anomalous dispersion, but are separated spectrally by a small region of normal dispersion.

Fig. 1. Dispersion profile for PCF with structural parameters Λ = 1.2 μm and d/Λ = 0.62 (blue) and the dispersion profile incorrectly used in Ref. [1] (green, dashed).

References and links

1.

M. H. Frosz, P. Falk, and O. Bang, “The role of the second zero-dispersion wavelength in generation of super-continua and bright-bright soliton-pairs across the zero-dispersion wavelength,” Opt. Express 13(16), 6181–6192 (2005). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-16-6181. [CrossRef] [PubMed]

OCIS Codes
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Errata

History
Original Manuscript: April 12, 2007
Manuscript Accepted: April 12, 2007
Published: April 13, 2007

Citation
Michael H. Frosz, Peter Falk, and Ole Bang, "The role of the second zero-dispersion wavelength in generation of supercontinua and bright-bright soliton-pairs across the zero-dispersion wavelength: erratum," Opt. Express 15, 5262-5263 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-8-5262


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