Skip to main content
SpringerLink
Log in

Nonlinear Polarization Mode Dispersion in Optical Fibers with Randomly Varying Birefringence

  • Conference paper
Physics and Applications of Optical Solitons in Fibres ’95

Part of the book series: Solid-State Science and Technology Library ((SSST,volume 3))

  • 125 Accesses

Abstract

The evolution of polarization states are studied in fibers with randomly varying birefringence. A physical model in which the birefringence orientation varies arbitrarily while the birefringence strength is fixed is used to study the evolution of polarization states in fibers with randomly varying birefringence. We show that the coupled nonlinear Schrödinger equation which describes wave evolution over a long length along a communication fiber can be reduced to the Manakov equation with additional terms that describe linear and nonlinear polarization mode dispersion. The coefficients of the linear and nonlinear polarization mode dispersion are the Stokes parameters and the squares of the Stokes parameter. The implications for numerical simulations of transoceanic communications are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Poole, C. D. and Wagner, R. E.: Phenomenological approach to polarization dispersion in long single-mode fibers, Electron. Lett. 22 (1986), 1029–1030.

    Article  Google Scholar 

  2. Andresciani, D., Curti, F., Matera, F. and Daino, B.: Measurement of the group-delay difference between the principal states of polarization on a low-birefringence terrestrial fiber cable, Opt. Lett. 12 (1987), 844–846.

    Article  CAS  Google Scholar 

  3. Bergano, N. S., Poole, C. D. and Wagner, R. E.: Investigation of polarization dispersion in long lengths of single-mode fiber using multilongitudinal mode lasers, J. Lightwave Tech. 5 (1987), 1618–1622.

    Article  Google Scholar 

  4. Poole, C. D.: Statistical treatment of polarization dispersion in single-mode fiber, Opt. Lett. 13 (1988), 687–689.

    Article  CAS  Google Scholar 

  5. Curti, F., Daino, B., Mao, Q., Matera, F. and Someda, C. G.: Concatenation of polarization-dispersion in single-mode fibers, Electron. Lett. 25 (1989), 290–291.

    Article  Google Scholar 

  6. C. D. Poole, C. D. Poole: Measurement of polarization-mode dispersion in single-mode fibers with random mode coupling, Opt. Lett. 14 (1989), 523–525.

    Article  CAS  Google Scholar 

  7. Curti, F., Daino, B., De Marchis, G. and Matera, F.: Statistical treatment of the evolution of the principal states of polarization in single-mode fibers, J. Lightwave Tech. 8 (1990), 1162–1165.

    Article  Google Scholar 

  8. Poole, C. D., Winters, J. H. and Nagel, J. A.: Dynamical equation for polarization dispersion, Opt. Lett. 16 (1991), 372–374.

    Article  CAS  Google Scholar 

  9. Betti, S., Curti, F., De Marchis, G., Iannone, E. and Matera, F.: Evolution of the bandwidth of the principal states of polarization in single-mode fibers, Opt. Lett. 16 (1991), 467–469.

    Article  CAS  Google Scholar 

  10. Foschini, G. J. and Poole, C. D.: Statistical theory of polarization dispersion in single mode fibers, J. Lightwave Tech. 9 (1991), 1439–1456.

    Article  Google Scholar 

  11. Namihara, Y., Kawazawa, T. and Wakabayashi, H.: Polarization mode dispersion measurements in 1520 km EDFA system, Electron. Lett. 28 (1992), 881–882.

    Article  Google Scholar 

  12. Galtarossa, A. and Schiano, M.: Complete characterization of polarization mode dispersion in erbium doped optical amplifiers, Electron. Lett. 28 (1992), 2143–2144;

    Article  CAS  Google Scholar 

  13. Galtarossa, A., Comment: Polarization mode dispersion in 1520 EDFA system, Electron. Lett. 29 (1993), 564–565.

    Article  Google Scholar 

  14. Menyuk, C. R. and Wai, P. K. A.: Polarization evolution and dispersion in fibers with spatially varying birefringence, J. Opt. Soc. Am. B 11 (1994), 1288–1296.

    Article  CAS  Google Scholar 

  15. Poole, C. D. and Giles, C. R.: Polarization-dependent pulse compression and broadening due to polarization dispersion in dispersion-shifted fiber, Opt. Lett. 13 (1988), 155–157.

    Article  CAS  Google Scholar 

  16. Born, M. and Wolf, E.: Principles of Optics. Pergamon, Oxford, (1984), Chap. 1.

    Google Scholar 

  17. Wai, P. K. A. and Menyuk, C. R.: Anisotropic evolution of the state of polarization in optical fibers with random varying birefringence, to appear in Optics Letters.

    Google Scholar 

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

    Article  CAS  Google Scholar 

  19. Evangelides, Jr., S. G., Mollenauer, L. F., Gordon, J. P. and Bergano, N. S.: Polarization multiplexing with solitons, J. Lightwave Tech. 10 (1992), 28–35.

    Article  Google Scholar 

  20. Wai, P. K. A. and Menyuk, C. R.: Polarization decorrelation in fibers with randomly varying birefringence, Opt. Lett. 19 (1994), 1517–1519.

    Article  CAS  Google Scholar 

  21. Menyuk, C.R.: Pulse propagation in an elliptically birefringent Kerr medium, IEEE J. Quantum Electron. 25 (1989), 2674–2682.

    Article  CAS  Google Scholar 

  22. Nayfeh, A.: Perturbation Methods. Wiley, New York, (1973).

    Google Scholar 

  23. See, e.g. Arnold, L.: Stochastic Differential Equations, Theory and Applications, Wiley, New York, (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electronic Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    P. K. A. Wai

  2. Department of Computer Sciences and Electrical Engineering, University of Maryland Baltimore County, Baltimore, Maryland, 21228-5398, USA

    C. R. Menyuk

Authors
  1. P. K. A. Wai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. R. Menyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Communication Engineering, Osaka University, Suita, Japan

    Akira Hasegawa

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this paper

Cite this paper

Wai, P.K.A., Menyuk, C.R. (1996). Nonlinear Polarization Mode Dispersion in Optical Fibers with Randomly Varying Birefringence. In: Hasegawa, A. (eds) Physics and Applications of Optical Solitons in Fibres ’95. Solid-State Science and Technology Library, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1736-1_22

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1736-1_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7277-9

  • Online ISBN: 978-94-009-1736-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation