Abstract

We obtain stable kink soliton solutions describing the nonlinear polarization evolution of counterpropagating optical beams in spun high-birefringence optical fibers. Applications to nonlinear polarizers for continuous waves are described.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. V. E. Zakharov and A. V. Mikhailov, JETP Lett. 45, 349 (1987).
  2. S. Pitois, G. Millot, and S. Wabnitz, Phys. Rev. Lett. 81, 1409 (1998).
    [CrossRef]
  3. S. Pitois, G. Millot, and S. Wabnitz, J. Opt. Soc. Am. B 18, 432 (2001).
    [CrossRef]
  4. S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
    [CrossRef]
  5. S. Pitois, J. Fatome, and G. Millot, Opt. Express 16, 6646 (2008).
    [CrossRef] [PubMed]
  6. R. I. Laming and D. N. Payne, J. Lightwave Technol. 7, 2084 (1989).
    [CrossRef]
  7. A. V. Mikhailov and S. Wabnitz, Opt. Lett. 15, 1055 (1990).
    [CrossRef] [PubMed]
  8. C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
    [CrossRef]
  9. G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986).
    [CrossRef] [PubMed]

2008 (1)

2005 (1)

S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
[CrossRef]

2001 (1)

1998 (1)

S. Pitois, G. Millot, and S. Wabnitz, Phys. Rev. Lett. 81, 1409 (1998).
[CrossRef]

1990 (1)

1989 (2)

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

R. I. Laming and D. N. Payne, J. Lightwave Technol. 7, 2084 (1989).
[CrossRef]

1987 (1)

V. E. Zakharov and A. V. Mikhailov, JETP Lett. 45, 349 (1987).

1986 (1)

G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986).
[CrossRef] [PubMed]

Fatome, J.

Gregori, G.

G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986).
[CrossRef] [PubMed]

Haelterman, M.

S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
[CrossRef]

Jauslin, H. R.

S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
[CrossRef]

Laming, R. I.

R. I. Laming and D. N. Payne, J. Lightwave Technol. 7, 2084 (1989).
[CrossRef]

Menyuk, C. R.

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

Mikhailov, A. V.

A. V. Mikhailov and S. Wabnitz, Opt. Lett. 15, 1055 (1990).
[CrossRef] [PubMed]

V. E. Zakharov and A. V. Mikhailov, JETP Lett. 45, 349 (1987).

Millot, G.

S. Pitois, J. Fatome, and G. Millot, Opt. Express 16, 6646 (2008).
[CrossRef] [PubMed]

S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
[CrossRef]

S. Pitois, G. Millot, and S. Wabnitz, J. Opt. Soc. Am. B 18, 432 (2001).
[CrossRef]

S. Pitois, G. Millot, and S. Wabnitz, Phys. Rev. Lett. 81, 1409 (1998).
[CrossRef]

Payne, D. N.

R. I. Laming and D. N. Payne, J. Lightwave Technol. 7, 2084 (1989).
[CrossRef]

Picozzi, A.

S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
[CrossRef]

Pitois, S.

S. Pitois, J. Fatome, and G. Millot, Opt. Express 16, 6646 (2008).
[CrossRef] [PubMed]

S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
[CrossRef]

S. Pitois, G. Millot, and S. Wabnitz, J. Opt. Soc. Am. B 18, 432 (2001).
[CrossRef]

S. Pitois, G. Millot, and S. Wabnitz, Phys. Rev. Lett. 81, 1409 (1998).
[CrossRef]

Wabnitz, S.

S. Pitois, G. Millot, and S. Wabnitz, J. Opt. Soc. Am. B 18, 432 (2001).
[CrossRef]

S. Pitois, G. Millot, and S. Wabnitz, Phys. Rev. Lett. 81, 1409 (1998).
[CrossRef]

A. V. Mikhailov and S. Wabnitz, Opt. Lett. 15, 1055 (1990).
[CrossRef] [PubMed]

G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986).
[CrossRef] [PubMed]

Zakharov, V. E.

V. E. Zakharov and A. V. Mikhailov, JETP Lett. 45, 349 (1987).

EPL (1)

S. Pitois, A. Picozzi, G. Millot, H. R. Jauslin, and M. Haelterman, EPL 70, 88 (2005).
[CrossRef]

IEEE J. Quantum Electron. (1)

C. R. Menyuk, IEEE J. Quantum Electron. 25, 2674 (1989).
[CrossRef]

J. Lightwave Technol. (1)

R. I. Laming and D. N. Payne, J. Lightwave Technol. 7, 2084 (1989).
[CrossRef]

J. Opt. Soc. Am. B (1)

JETP Lett. (1)

V. E. Zakharov and A. V. Mikhailov, JETP Lett. 45, 349 (1987).

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. Lett. (2)

G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986).
[CrossRef] [PubMed]

S. Pitois, G. Millot, and S. Wabnitz, Phys. Rev. Lett. 81, 1409 (1998).
[CrossRef]

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 (4)

Fig. 1
Fig. 1

Trajectories of the Stokes vector s + on the Poincaré sphere, representing stationary solitary waves for the chiral case ( α = 0 ) . The thick gray curve (red online) indicates the separatrix solution.

Fig. 2
Fig. 2

Phase plane portrait of the polarization angle ( θ , ϕ ) evolutions in the rotating reference frame.

Fig. 3
Fig. 3

Spatiotemporal evolution of s 2 ± showing (a) and (b) domain wall formation and (c) and (d) damping of forward beam polarization fluctuations.

Fig. 4
Fig. 4

Input and output values of s 2 ± as in Figs. 3c, 3d.

Equations (10)

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

E ± ( z , t ) = A 1 ± ( z , t ) exp ( ± i β 1 z ) e 1 + A 2 ± ( z , t ) exp ( ± i β 2 z ) e 2 ,
S 0 ± = E ± 2 , S 1 ± = A 1 ± * A 2 ± + c.c. ,
S 2 ± = i A 1 ± * A 2 ± + c.c. , S 3 ± = A 1 ± 2 A 2 ± 2 ,
ξ S + = S + × ( J + S + + J S ) , η S = S × ( J S + J S + ) ,
ξ S + = S + × J S , η S = S × J S + ,
K S 3 + + S 3 , Γ S 2 + S 2 S 1 + S 1 + ( 2 + α ) S 3 + S 3 ,
s ̈ 2 + + a s 2 + + b s 2 + 3 = 0 ,
ξ = 1 2 d s 2 + E V ( s 2 + ) ,
s ± ( z ) = ± ( c 1 sech [ ρ ( z z 0 ) ] , tanh [ ρ ( z z 0 ) ] , c 3 sech [ ρ ( z z 0 ) ] ) ,
s ± ( z ) = ± ( 2 3 sech [ C ( z , t ) ] , tanh [ C ( z , t ) ] , 1 3 sech [ C ( z , t ) ] ) ,

Metrics