Abstract

We quantify the instantaneous polarization rotation of the optical field by the Faraday birefringence in a long spun-fiber link terminated by a Faraday mirror. Obtained analytical results agrees well with computer simulations and are consistent with previous experimental findings.

© 2008 Optical Society of America

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References

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  1. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
    [CrossRef]
  2. M. Brodsky, M. Boroditsky, M. Feuer, and A. A. Sirenko, 31st European Conference on Optical Communications (ECOC 2005) (Institution of Electrical Engineers, 2005), paper Th 4.2.4.
  3. M. Brodsky, A. A. Sirenko, A. Zavriyev, and A. Trifonov, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP6.
  4. J. P. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
    [CrossRef] [PubMed]
  5. A. H. Rose, S. M. Etzel, and C. M. Wang, J. Lightwave Technol. 15, 803 (1997).
    [CrossRef]
  6. P. K. A. Wai and C. Menyuk, J. Lightwave Technol. 14, 157 (1996).
  7. A. Galtarossa and L. Palmieri, J. Lightwave Technol. 20, 1149 (2002).
    [CrossRef]
  8. A. Galtarossa, P. Griggio, L. Palmieri, and A. Pizzinat, Opt. Lett. 28, 1639 (2003).
    [CrossRef] [PubMed]

2003 (1)

2002 (2)

A. Galtarossa and L. Palmieri, J. Lightwave Technol. 20, 1149 (2002).
[CrossRef]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

2000 (1)

J. P. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef] [PubMed]

1997 (1)

A. H. Rose, S. M. Etzel, and C. M. Wang, J. Lightwave Technol. 15, 803 (1997).
[CrossRef]

1996 (1)

P. K. A. Wai and C. Menyuk, J. Lightwave Technol. 14, 157 (1996).

Boroditsky, M.

M. Brodsky, M. Boroditsky, M. Feuer, and A. A. Sirenko, 31st European Conference on Optical Communications (ECOC 2005) (Institution of Electrical Engineers, 2005), paper Th 4.2.4.

Brodsky, M.

M. Brodsky, M. Boroditsky, M. Feuer, and A. A. Sirenko, 31st European Conference on Optical Communications (ECOC 2005) (Institution of Electrical Engineers, 2005), paper Th 4.2.4.

M. Brodsky, A. A. Sirenko, A. Zavriyev, and A. Trifonov, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP6.

Etzel, S. M.

A. H. Rose, S. M. Etzel, and C. M. Wang, J. Lightwave Technol. 15, 803 (1997).
[CrossRef]

Feuer, M.

M. Brodsky, M. Boroditsky, M. Feuer, and A. A. Sirenko, 31st European Conference on Optical Communications (ECOC 2005) (Institution of Electrical Engineers, 2005), paper Th 4.2.4.

Galtarossa, A.

Gisin, N.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Gordon, J. P.

J. P. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef] [PubMed]

Griggio, P.

Kogelnik, H.

J. P. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef] [PubMed]

Menyuk, C.

P. K. A. Wai and C. Menyuk, J. Lightwave Technol. 14, 157 (1996).

Palmieri, L.

Pizzinat, A.

Ribordy, G.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Rose, A. H.

A. H. Rose, S. M. Etzel, and C. M. Wang, J. Lightwave Technol. 15, 803 (1997).
[CrossRef]

Sirenko, A. A.

M. Brodsky, A. A. Sirenko, A. Zavriyev, and A. Trifonov, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP6.

M. Brodsky, M. Boroditsky, M. Feuer, and A. A. Sirenko, 31st European Conference on Optical Communications (ECOC 2005) (Institution of Electrical Engineers, 2005), paper Th 4.2.4.

Tittel, W.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Trifonov, A.

M. Brodsky, A. A. Sirenko, A. Zavriyev, and A. Trifonov, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP6.

Wai, P. K. A.

P. K. A. Wai and C. Menyuk, J. Lightwave Technol. 14, 157 (1996).

Wang, C. M.

A. H. Rose, S. M. Etzel, and C. M. Wang, J. Lightwave Technol. 15, 803 (1997).
[CrossRef]

Zavriyev, A.

M. Brodsky, A. A. Sirenko, A. Zavriyev, and A. Trifonov, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP6.

Zbinden, H.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

J. Lightwave Technol. (3)

A. H. Rose, S. M. Etzel, and C. M. Wang, J. Lightwave Technol. 15, 803 (1997).
[CrossRef]

P. K. A. Wai and C. Menyuk, J. Lightwave Technol. 14, 157 (1996).

A. Galtarossa and L. Palmieri, J. Lightwave Technol. 20, 1149 (2002).
[CrossRef]

Opt. Lett. (1)

Proc. Natl. Acad. Sci. U.S.A. (1)

J. P. Gordon and H. Kogelnik, Proc. Natl. Acad. Sci. U.S.A. 97, 4541 (2000).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Other (2)

M. Brodsky, M. Boroditsky, M. Feuer, and A. A. Sirenko, 31st European Conference on Optical Communications (ECOC 2005) (Institution of Electrical Engineers, 2005), paper Th 4.2.4.

M. Brodsky, A. A. Sirenko, A. Zavriyev, and A. Trifonov, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers Conference, Technical Digest (CD) (Optical Society of America, 2006), paper PDP6.

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Figures (1)

Fig. 1
Fig. 1

Root-mean square angle θ rms plotted versus the spin period L s . The solid curve corresponds to the inverse Laplace transform of Eq. (16). The dashed curve is the asymptotic result, Eq. (17). Circles are the results of a Monte Carlo simulation. The dotted–dashed curve is the plot of the root mean square DGD from [8].

Equations (18)

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d s ̂ d z = [ β 0 ( z ) + β F ( z ) ] × s ̂ ,
s ̂ ( z ) = R 0 ( z ) s ̂ ( z ) , β F ( z ) = R 0 ( z ) β F ( z ) ,
d R 0 d z = [ β 0 ( z ) × ] R 0 ,
d s ̂ d z = β F ( z ) × s ̂ .
θ F 0 2 L β F ( z ) d z .
θ F 2 0 L R 0 ( z ) β F ( z ) d z ,
θ F 2 ( z ) = 4 0 z d z 0 z d z β F R 0 ( z ) R 0 ( z ) β F = 8 0 z d z 0 z d z β F R ( z , z ) β F ,
R ( z 0 , z ) = I + m = 1 D m d m ζ [ β 0 ( ζ 1 ) × ] [ β 0 ( ζ 2 ) × ] [ β 0 ( ζ m ) × ] ,
R ( z 0 , z ) β F = { 1 D 2 d 2 z [ β 0 ( z 1 ) β 0 ( z 2 ) ] + D 4 d 4 z [ β 0 ( z 1 ) β 0 ( z 2 ) ] [ β 0 ( z 3 ) β 0 ( z 4 ) ] } β F .
β 0 ( z ) β 0 ( z ) = β 0 2 C ( z z ) ,
C ( z z ) = cos [ 4 π L s ( z z ) ] exp ( z z L F ) .
R ( z 0 , z ) β F = R ( z z 0 ) β F ,
R ( z z 0 ) = { 1 β 0 2 D 2 d 2 z C ( z 1 z 2 ) + β 0 4 D 4 d 4 z C ( z 1 z 2 ) C ( z 3 z 4 ) + } .
d R ( z ) d z = β 0 2 0 z d z C ( z z ) R ( z ) .
s R ̃ ( s ) R ( 0 ) = β 0 2 C ̃ ( s ) R ̃ ( s ) .
θ F 2 ( z ) = 8 β F 2 0 z d z 0 z d z R ( z z ) .
L [ θ F 2 ] = 8 β F 2 [ ( s + 1 L F ) 2 + ( 4 π L s ) 2 ] s 3 [ ( s + 1 L F ) 2 + ( 4 π L s ) 2 + β 0 2 ] + s 2 β 0 2 L F .
θ F 2 = 8 β F 2 L β 0 2 L F [ 1 + ( 4 π L F L s ) 2 ] .

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