Abstract

We propose a novel analytical model for the characterization of fiber cross-phase modulation (XPM) in ultrafast all-optical fiber wavelength converters, operating at modulation frequencies higher than 1THz. The model is used to compare the XPM frequency limitations of a conventional and a highly nonlinear dispersion shifted fiber (HN-DSF) and a bismuth oxide-based fiber, introducing the XPM bandwidth as a design parameter. It is shown that the HN-DSF presents the highest XPM bandwidth, above 1THz, making it the most appropriate for ultrafast wavelength conversion.

© 2006 Optical Society of America

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  1. L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
    [CrossRef]
  2. M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.
  3. P. Öhlén, B. Olsson, and D. Blumenthal, IEEE Photon. Technol. Lett. 5, 522 (2000).
    [CrossRef]
  4. J. Herrera, F. Ramos, and J. Marti, IEEE Photon. Technol. Lett. 11, 2370 (2005).
    [CrossRef]
  5. R. Luís, A. Teixeira, A. Cartaxo, and P. Monteiro, in Proceedings of IEEE International Conference on Transparent Optical Networks (IEEE, 2005), p. 109.
    [CrossRef]
  6. N. Sugimoto, T. Nagashima, T. Hasegawa, and S. Ohara, in Optical Fiber Communication Conference, Vol. 2 of OSA Technical Digest Series (Optical Society of America, 2004), paper PDP26.
  7. A. Cartaxo, J. Lightwave Technol. 2, 178 (1999).
    [CrossRef]
  8. R. Luís and A. Cartaxo, J. Lightwave Technol. 3, 1503 (2005).
    [CrossRef]
  9. C. Kolleck and U. Hempelmann, J. Lightwave Technol. 10, 1906 (1997).
    [CrossRef]

2005 (2)

J. Herrera, F. Ramos, and J. Marti, IEEE Photon. Technol. Lett. 11, 2370 (2005).
[CrossRef]

R. Luís and A. Cartaxo, J. Lightwave Technol. 3, 1503 (2005).
[CrossRef]

2004 (1)

L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
[CrossRef]

2000 (1)

P. Öhlén, B. Olsson, and D. Blumenthal, IEEE Photon. Technol. Lett. 5, 522 (2000).
[CrossRef]

1999 (1)

A. Cartaxo, J. Lightwave Technol. 2, 178 (1999).
[CrossRef]

1997 (1)

C. Kolleck and U. Hempelmann, J. Lightwave Technol. 10, 1906 (1997).
[CrossRef]

Blumenthal, D.

L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
[CrossRef]

P. Öhlén, B. Olsson, and D. Blumenthal, IEEE Photon. Technol. Lett. 5, 522 (2000).
[CrossRef]

Camatel, S.

L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
[CrossRef]

Cartaxo, A.

R. Luís and A. Cartaxo, J. Lightwave Technol. 3, 1503 (2005).
[CrossRef]

A. Cartaxo, J. Lightwave Technol. 2, 178 (1999).
[CrossRef]

R. Luís, A. Teixeira, A. Cartaxo, and P. Monteiro, in Proceedings of IEEE International Conference on Transparent Optical Networks (IEEE, 2005), p. 109.
[CrossRef]

Clausen, A.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

Deyerl, H.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

Galili, M.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

Hasegawa, T.

N. Sugimoto, T. Nagashima, T. Hasegawa, and S. Ohara, in Optical Fiber Communication Conference, Vol. 2 of OSA Technical Digest Series (Optical Society of America, 2004), paper PDP26.

Hempelmann, U.

C. Kolleck and U. Hempelmann, J. Lightwave Technol. 10, 1906 (1997).
[CrossRef]

Herrera, J.

J. Herrera, F. Ramos, and J. Marti, IEEE Photon. Technol. Lett. 11, 2370 (2005).
[CrossRef]

Jeppesen, P.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

Kolleck, C.

C. Kolleck and U. Hempelmann, J. Lightwave Technol. 10, 1906 (1997).
[CrossRef]

Kristensen, M.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

Luís, R.

R. Luís and A. Cartaxo, J. Lightwave Technol. 3, 1503 (2005).
[CrossRef]

R. Luís, A. Teixeira, A. Cartaxo, and P. Monteiro, in Proceedings of IEEE International Conference on Transparent Optical Networks (IEEE, 2005), p. 109.
[CrossRef]

Marti, J.

J. Herrera, F. Ramos, and J. Marti, IEEE Photon. Technol. Lett. 11, 2370 (2005).
[CrossRef]

Monteiro, P.

R. Luís, A. Teixeira, A. Cartaxo, and P. Monteiro, in Proceedings of IEEE International Conference on Transparent Optical Networks (IEEE, 2005), p. 109.
[CrossRef]

Nagashima, T.

N. Sugimoto, T. Nagashima, T. Hasegawa, and S. Ohara, in Optical Fiber Communication Conference, Vol. 2 of OSA Technical Digest Series (Optical Society of America, 2004), paper PDP26.

Ohara, S.

N. Sugimoto, T. Nagashima, T. Hasegawa, and S. Ohara, in Optical Fiber Communication Conference, Vol. 2 of OSA Technical Digest Series (Optical Society of America, 2004), paper PDP26.

Öhlén, P.

P. Öhlén, B. Olsson, and D. Blumenthal, IEEE Photon. Technol. Lett. 5, 522 (2000).
[CrossRef]

Olsson, B.

P. Öhlén, B. Olsson, and D. Blumenthal, IEEE Photon. Technol. Lett. 5, 522 (2000).
[CrossRef]

Oxenløwe, L.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

Pougmann, N.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

Poulsen, H.

L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
[CrossRef]

Ramos, F.

J. Herrera, F. Ramos, and J. Marti, IEEE Photon. Technol. Lett. 11, 2370 (2005).
[CrossRef]

Rau, L.

L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
[CrossRef]

Sugimoto, N.

N. Sugimoto, T. Nagashima, T. Hasegawa, and S. Ohara, in Optical Fiber Communication Conference, Vol. 2 of OSA Technical Digest Series (Optical Society of America, 2004), paper PDP26.

Teixeira, A.

R. Luís, A. Teixeira, A. Cartaxo, and P. Monteiro, in Proceedings of IEEE International Conference on Transparent Optical Networks (IEEE, 2005), p. 109.
[CrossRef]

Wang, W.

L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
[CrossRef]

Zibar, D.

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

IEEE Photon. Technol. Lett. (3)

P. Öhlén, B. Olsson, and D. Blumenthal, IEEE Photon. Technol. Lett. 5, 522 (2000).
[CrossRef]

J. Herrera, F. Ramos, and J. Marti, IEEE Photon. Technol. Lett. 11, 2370 (2005).
[CrossRef]

L. Rau, W. Wang, S. Camatel, H. Poulsen, and D. Blumenthal, IEEE Photon. Technol. Lett. 11, 2520 (2004).
[CrossRef]

J. Lightwave Technol. (3)

A. Cartaxo, J. Lightwave Technol. 2, 178 (1999).
[CrossRef]

R. Luís and A. Cartaxo, J. Lightwave Technol. 3, 1503 (2005).
[CrossRef]

C. Kolleck and U. Hempelmann, J. Lightwave Technol. 10, 1906 (1997).
[CrossRef]

Other (3)

M. Galili, L. Oxenløwe, D. Zibar, A. Clausen, H. Deyerl, N. Pougmann, M. Kristensen, and P. Jeppesen, in European Conference on Optical Communications 2005 (IEE, 2005), Vol. 1, p. 113.

R. Luís, A. Teixeira, A. Cartaxo, and P. Monteiro, in Proceedings of IEEE International Conference on Transparent Optical Networks (IEEE, 2005), p. 109.
[CrossRef]

N. Sugimoto, T. Nagashima, T. Hasegawa, and S. Ohara, in Optical Fiber Communication Conference, Vol. 2 of OSA Technical Digest Series (Optical Society of America, 2004), paper PDP26.

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Figures (2)

Fig. 1
Fig. 1

Dependence of the PM index on the modulation frequency when using (a) DSF, (b) HN-DSF, and (c) BOF. Circles, simulation results; solid curves, analytical results using the proposed model; dashed curves, analytical results neglecting the impact of GVD and SPM.

Fig. 2
Fig. 2

Dependence of the XPM bandwidth on the maximum PM index for various fiber types. Solid lines, analytical results, considering λ s = 1545 nm and λ p = 1555 nm ; dashed lines, analytical results, considering λ s = 1545 nm and λ p = 1565 nm ; solid circles, simulation results.

Tables (1)

Tables Icon

Table 1 Fiber Parameters at a Wavelength of 1550 nm

Equations (3)

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ϕ s ( ω ) = 0 L d ϕ s ( z , ω ) = H ϕ , GVD ( ω ) P p ( 0 , ω ) ,
H ϕ , GVD ( ω ) = γ a s p 2 + ( b + q ) 2 { a s p cos ( b L ) + ( b + q ) sin ( b L ) e a s p L [ a s p cos ( q L ) ( b + q ) sin ( q L ) ] } γ a s p 2 + ( b q ) 2 { a s p cos ( b L ) + ( b q ) sin ( b L ) e a s p L [ a s p cos ( q L ) + ( b q ) sin ( q L ) ] } ,
ϕ s ( ω ) = [ H ϕ , GVD ( ω ) + H ϕ , SPM ( ω ) ] P p ( 0 , ω ) .

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