Abstract

Multiple-scale analysis is used to study linear wave propagation in a rapidly-spun fiber and its predictions are shown to be consistent with results obtained by other methods. Subsequently, multiple-scale analysis is used to derive a generalized Schroedinger equation for nonlinear wave propagation in a rapidly-spun fiber. The consequences of this equation for pulse propagation and four-wave mixing are discussed briefly.

© 2006 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. J. Barlow, J. J. Ramskov-Hansen and D. N. Payne, "Birefringence and polarization-mode dispersion in spun single-mode fibers," Appl. Opt. 20, 2962-2968 (1981).
  2. C. J. McKinstrie, S. Radic and A. R. Chraplyvy, "Parametric amplifiers driven by two pump waves," IEEE J. Sel. Top. Quantum Electron. 8, 538-547 and 956 (2002).</jrn>
  3. J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).
  4. S. Radic and C. J. McKinstrie, "Optical amplification and signal processing in highly-nonlinear optical fiber," IEICE Trans. Electron. E88C, 859-869 (2005).</jrn>
  5. R. M. Jopson and R. E. Tench, "Polarisation-independent phase conjugation of lightwave signals," Electron. Lett. 29, 2216-2217 (1993).
    [CrossRef]
  6. K. Inoue, "Polarization independent wavelength conversion using fiber four-wave mixing with two orthogonal pump lights of different frequencies," J. Lightwave Technol. 12, 1916-1920 (1994).
    [CrossRef]
  7. C. J. McKinstrie, H. Kogelnik, R. M. Jopson, S. Radic and A. V. Kanaev, "Four-wave mixing in fibers with random birefringence," Opt. Express 12, 2033-2055 (2004).
    [CrossRef]
  8. T. Tanemura, K. Katoh and K. Kikuchi, "Polarization-insensitive asymmetric four-wave mixing using circularly polarized pumps in a twisted fiber," Opt. Express 13, 7497-7505 (2005).
    [CrossRef]
  9. C. J. McKinstrie, J. D. Harvey, S. Radic and M. G. Raymer, "Translation of quantum states by four-wave mixing in fibers," Opt. Express 13, 9131-9142 (2005).
    [CrossRef]
  10. J. P. Gordon and H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. 97, 4541-4550 (2000).
  11. W. A. Shurcliff, Polarized Light (Harvard University Press, 1962).
  12. P. McIntyre and A. W. Snyder, "Light propagation in twisted anisotropic media: Application to photoreceptors," J. Opt. Soc. Am. 68, 149-157 (1978).
  13. A. Galtarossa, P. Griggio, L. Palmieri and A. Pizzinat, "First- and second-order PMD statistical properties of constantly spun randomly birefringent fibers," J. Lightwave Technol. 22, 1127-1136 (2004).
    [CrossRef]
  14. A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, 1981).
  15. P. D. Maker and R.W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
    [CrossRef]
  16. C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
    [CrossRef]
  17. P. K. A. Wai, C. R. Menyuk and H. H. Chen, "Stability of solitons in randomly varying birefringent fibers," Opt. Lett. 16, 1231-1233 (1991).
  18. S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, "Polarization muliplexing with solitons," J. Lightwave Technol. 10, 28-35 (1992).
    [CrossRef]
  19. U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, 1997).

2005 (2)

2004 (2)

2002 (1)

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).

2000 (1)

J. P. Gordon and H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. 97, 4541-4550 (2000).

1994 (1)

K. Inoue, "Polarization independent wavelength conversion using fiber four-wave mixing with two orthogonal pump lights of different frequencies," J. Lightwave Technol. 12, 1916-1920 (1994).
[CrossRef]

1993 (1)

R. M. Jopson and R. E. Tench, "Polarisation-independent phase conjugation of lightwave signals," Electron. Lett. 29, 2216-2217 (1993).
[CrossRef]

1992 (1)

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, "Polarization muliplexing with solitons," J. Lightwave Technol. 10, 28-35 (1992).
[CrossRef]

1991 (1)

1987 (1)

C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
[CrossRef]

1981 (1)

1978 (1)

1965 (1)

P. D. Maker and R.W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

Andrekson, P. A.

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).

Barlow, A. J.

Bergano, N. S.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, "Polarization muliplexing with solitons," J. Lightwave Technol. 10, 28-35 (1992).
[CrossRef]

Chen, H. H.

Evangelides, S. G.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, "Polarization muliplexing with solitons," J. Lightwave Technol. 10, 28-35 (1992).
[CrossRef]

Galtarossa, A.

Gordon, J. P.

J. P. Gordon and H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. 97, 4541-4550 (2000).

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, "Polarization muliplexing with solitons," J. Lightwave Technol. 10, 28-35 (1992).
[CrossRef]

Griggio, P.

Hansryd, J.

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).

Harvey, J. D.

Hedekvist, P. O.

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).

Inoue, K.

K. Inoue, "Polarization independent wavelength conversion using fiber four-wave mixing with two orthogonal pump lights of different frequencies," J. Lightwave Technol. 12, 1916-1920 (1994).
[CrossRef]

Jopson, R. M.

C. J. McKinstrie, H. Kogelnik, R. M. Jopson, S. Radic and A. V. Kanaev, "Four-wave mixing in fibers with random birefringence," Opt. Express 12, 2033-2055 (2004).
[CrossRef]

R. M. Jopson and R. E. Tench, "Polarisation-independent phase conjugation of lightwave signals," Electron. Lett. 29, 2216-2217 (1993).
[CrossRef]

Kanaev, A. V.

Katoh, K.

Kikuchi, K.

Kogelnik, H.

C. J. McKinstrie, H. Kogelnik, R. M. Jopson, S. Radic and A. V. Kanaev, "Four-wave mixing in fibers with random birefringence," Opt. Express 12, 2033-2055 (2004).
[CrossRef]

J. P. Gordon and H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. 97, 4541-4550 (2000).

Li, J.

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).

Maker, P. D.

P. D. Maker and R.W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

McIntyre, P.

McKinstrie, C. J.

Menyuk, C. R.

P. K. A. Wai, C. R. Menyuk and H. H. Chen, "Stability of solitons in randomly varying birefringent fibers," Opt. Lett. 16, 1231-1233 (1991).

C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
[CrossRef]

Mollenauer, L. F.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, "Polarization muliplexing with solitons," J. Lightwave Technol. 10, 28-35 (1992).
[CrossRef]

Palmieri, L.

Payne, D. N.

Pizzinat, A.

Radic, S.

Ramskov-Hansen, J. J.

Raymer, M. G.

Snyder, A. W.

Tanemura, T.

Tench, R. E.

R. M. Jopson and R. E. Tench, "Polarisation-independent phase conjugation of lightwave signals," Electron. Lett. 29, 2216-2217 (1993).
[CrossRef]

Terhune, R.W.

P. D. Maker and R.W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

Wai, P. K. A.

Westlund, M.

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).

Appl. Opt. (1)

Electron. Lett. (1)

R. M. Jopson and R. E. Tench, "Polarisation-independent phase conjugation of lightwave signals," Electron. Lett. 29, 2216-2217 (1993).
[CrossRef]

IEEE J. Quantum Electron. (1)

C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, "Fiber-based optical parametric amplifiers and their applications," IEEE J. Sel. Top. Quantum Electron. 8, 506-520 (2002).

J. Lightwave Technol. (3)

K. Inoue, "Polarization independent wavelength conversion using fiber four-wave mixing with two orthogonal pump lights of different frequencies," J. Lightwave Technol. 12, 1916-1920 (1994).
[CrossRef]

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, "Polarization muliplexing with solitons," J. Lightwave Technol. 10, 28-35 (1992).
[CrossRef]

A. Galtarossa, P. Griggio, L. Palmieri and A. Pizzinat, "First- and second-order PMD statistical properties of constantly spun randomly birefringent fibers," J. Lightwave Technol. 22, 1127-1136 (2004).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. (1)

P. D. Maker and R.W. Terhune, "Study of optical effects due to an induced polarization third order in the electric field strength," Phys. Rev. 137, A801-A818 (1965).
[CrossRef]

Proc. Nat. Acad. Sci. (1)

J. P. Gordon and H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," Proc. Nat. Acad. Sci. 97, 4541-4550 (2000).

Other (5)

W. A. Shurcliff, Polarized Light (Harvard University Press, 1962).

A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, 1981).

C. J. McKinstrie, S. Radic and A. R. Chraplyvy, "Parametric amplifiers driven by two pump waves," IEEE J. Sel. Top. Quantum Electron. 8, 538-547 and 956 (2002).</jrn>

S. Radic and C. J. McKinstrie, "Optical amplification and signal processing in highly-nonlinear optical fiber," IEICE Trans. Electron. E88C, 859-869 (2005).</jrn>

U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, 1997).

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.


Metrics