Polarization and Nonlinear Propagation in Single-Mode Fibres

  • B. Crosignani
  • B. Daino
Part of the Ettore Majorana International Science Series book series (EMISS, volume 35)


A monochromatic electromagnetic field inside a straight real lossless single-mode fiber (see Fig. 1) can be written, in full generality, as a superposition of two linearly polarized orthogonal modes in the form
$$\begin{gathered} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{E} = \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{x} \varepsilon (\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{r} ){A_x}(z)\exp (i(\omega t - {\beta _x}z)) + \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{y} \varepsilon (\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{r} ){A_y}(z)\exp (i(\omega t - {\beta _y}z)) \hfill \\ \quad = \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{x} \varepsilon (\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{r} ){a_x}(z)\exp (i\omega t) + \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{y} \varepsilon (\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{r} ){a_y}(z)\exp (i\omega t) \hfill \\ \end{gathered} $$
where ε(r) is the spatial configuration of the mode.


Chromatic Dispersion Envelope Soliton Optical Kerr Effect Polarization Instability Birefringent Fiber 


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  1. 1.
    M. Born and E. Wolf, “Principles of Optics”, 4th ed., Pergamon, Oxford (1970)Google Scholar
  2. 2.
    R. Ulrich and A. Simon, Polarization optics of twisted single-mode fibers, Appl. Opt. 18, 2241 (1979)ADSCrossRefGoogle Scholar
  3. 3.
    D. N. Payne, A. J. Barlow and J. J. Ramskov-Hansen, Development of low-and high-birefringence optical fibers , IEEE J. Quantum Elect. QE-18, 447 (1982)ADSGoogle Scholar
  4. 4.
    B. Crosignani, B. Daino and P. Di Porto, Depolarization of light due to the optical Kerr effect in low-birefringence single-mode fibers, J. Opt. Soc. Am., B3, 1120 (1986)ADSGoogle Scholar
  5. 5.
    B. Daino, G. Gregori and S. Wabnitz, New all-optical devices based and third-order nonlinearity of birefringent fibers, Opt. Lett. 11, 42 (1986)ADSCrossRefGoogle Scholar
  6. 6.
    N. J. Doran and K. J. Blow, Solitons in optical communications, IEEE J. Quantum Electr., QE-19, 1883 (1983)ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • B. Crosignani
    • 1
  • B. Daino
    • 1
  1. 1.Fondazione Ugo BordoniRomaItaly

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