Abstract

We investigate how the strongly wavelength-dependent birefringence in nonlinear photonic crystal fibers leads to a splitting in the zero-dispersion wavelength for the two polarizations. We translate the requirements for the maximum splitting of the zero-dispersion wavelength to requirements for transverse structural uniformity by adopting a simple effective-index approach in which the birefringence is calculated in a step-index fiber with an elliptical core. We find that to reduce the splitting to less than 1 nm the birefringence should be less than 2×10-5, resulting in a transverse uniformity requirement of 1–3%, depending on the index step from the core to the cladding.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
    [CrossRef]
  2. A. Ortigosa-Blanch, J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan, T. A. Birks, and P. St. J. Russell, Opt. Lett. 25, 1325 (2000).
    [CrossRef]
  3. M. J. Steel, T. P. White, C. Martijn de Sterke, R. C. McPhedran, and L. C. Botten, Opt. Lett. 26, 488 (2001).
    [CrossRef]
  4. M. D. Nielsen, G. Vienne, J. R. Jensen, and A. Bjarklev, in Proceedings of the 14th Annual Meeting of the IEEE Lasers and Electro-Optics Society, Vol. 2 (Institute of Electrical and Electronics Engineers, New York, 2001), pp. 707–708.
  5. K. P. Hansen, J. R. Folkenberg, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 86 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), p. 694.
  6. K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.
  7. S. C. Rashleigh, Opt. Lett. 7, 294 (1982).
    [CrossRef] [PubMed]
  8. K. Suzuki, H. Kubota, S. Kawanishi, M. Tanaka, and M. Fujita, Opt. Express 9, 676 (2001), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  9. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, Dordrecht, The Netherlands, 1983).
  10. K. P. Hansen, Opt. Express 11, 1503 (2003), http://www.opticsexpress.org .
    [CrossRef] [PubMed]

2003 (1)

2001 (3)

2000 (1)

1982 (1)

Arriaga, J.

Birks, T. A.

Bjarklev, A.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

M. D. Nielsen, G. Vienne, J. R. Jensen, and A. Bjarklev, in Proceedings of the 14th Annual Meeting of the IEEE Lasers and Electro-Optics Society, Vol. 2 (Institute of Electrical and Electronics Engineers, New York, 2001), pp. 707–708.

K. P. Hansen, J. R. Folkenberg, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 86 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), p. 694.

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Botten, L. C.

Broeng, J.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Folkenberg, J. R.

K. P. Hansen, J. R. Folkenberg, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 86 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), p. 694.

Fujita, M.

Hansen, K. P.

K. P. Hansen, Opt. Express 11, 1503 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

K. P. Hansen, J. R. Folkenberg, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 86 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), p. 694.

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Hansen, T. P.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Jacobsen, C.

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Jensen, J. R.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

M. D. Nielsen, G. Vienne, J. R. Jensen, and A. Bjarklev, in Proceedings of the 14th Annual Meeting of the IEEE Lasers and Electro-Optics Society, Vol. 2 (Institute of Electrical and Electronics Engineers, New York, 2001), pp. 707–708.

Kawanishi, S.

Knight, J. C.

Knudsen, E.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Kubota, H.

Libori, S. E. B.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Love, J. D.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, Dordrecht, The Netherlands, 1983).

Mangan, B. J.

Martijn de Sterke, C.

McPhedran, R. C.

Nielsen, M. D.

M. D. Nielsen, G. Vienne, J. R. Jensen, and A. Bjarklev, in Proceedings of the 14th Annual Meeting of the IEEE Lasers and Electro-Optics Society, Vol. 2 (Institute of Electrical and Electronics Engineers, New York, 2001), pp. 707–708.

Ortigosa-Blanch, A.

Petersson, A.

K. P. Hansen, J. R. Folkenberg, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 86 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), p. 694.

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Rashleigh, S. C.

Russell, P. St. J.

Simonsen, H. R.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Skovgaard, P. M. W.

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, Dordrecht, The Netherlands, 1983).

Steel, M. J.

Suzuki, K.

Tanaka, M.

Vienne, G.

M. D. Nielsen, G. Vienne, J. R. Jensen, and A. Bjarklev, in Proceedings of the 14th Annual Meeting of the IEEE Lasers and Electro-Optics Society, Vol. 2 (Institute of Electrical and Electronics Engineers, New York, 2001), pp. 707–708.

Wadsworth, W. J.

White, T. P.

Opt. Express (2)

Opt. Lett. (3)

Photon. Technol. Lett. (1)

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. R. Simonsen, Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Other (4)

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, Dordrecht, The Netherlands, 1983).

M. D. Nielsen, G. Vienne, J. R. Jensen, and A. Bjarklev, in Proceedings of the 14th Annual Meeting of the IEEE Lasers and Electro-Optics Society, Vol. 2 (Institute of Electrical and Electronics Engineers, New York, 2001), pp. 707–708.

K. P. Hansen, J. R. Folkenberg, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 86 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), p. 694.

K. P. Hansen, J. R. Jensen, C. Jacobsen, H. R. Simonsen, J. Broeng, P. M. W. Skovgaard, A. Petersson, and A. Bjarklev, in Optical Fiber Communication Conference (OFC), Vol. 70 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), postdeadline paper FA9-1.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Measured group birefringence of fiber 1. Inset, microscope picture of the fiber cross section.

Fig. 2
Fig. 2

Measured group delay for different states of polarization on fiber 1. Upper curve and lower curve correspond to the slow axis and fast axis, respectively.

Fig. 3
Fig. 3

Measured normalized zero-dispersion wavelength as a function of the polarization angle.

Fig. 4
Fig. 4

Measured Δλ0 as a function of the birefringence for six different fibers.

Fig. 5
Fig. 5

Birefringence as a function of eccentricity squared, calculated for a step-index and parabolic profile fiber.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

GDλ=GDxλcos2θ+GDyλsin2θ,
δβx-δβy=e22Δ2/3ρ4V3ln V31+ln V,
e=1-ρy2/ρx21/2.
δβx-δβy=e21-e22Δ2/3ρx12Vx.

Metrics