Abstract

Modes and bandgap structure of highly twisted high-birefringence weakly guiding fibers are studied in the scalar approximation. It is shown that within the gap the system can serve as a filter of circular optical vortices.

© 2006 Optical Society of America

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References

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  1. R. Ulrich and A. Simon, Appl. Opt. 18, 2241 (1979).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  4. V. I. Kopp and A. Z. Genack, Opt. Lett. 28, 1876 (2003).
    [CrossRef] [PubMed]
  5. A. V. Volyar and T. A. Fadeyeva, Opt. Spectrosc. 8, 272 (1998).
  6. J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
    [CrossRef]
  7. M.Vasnetsov and K.Staliunas, eds., Optical Vortices, Vol. 228 of Horizons in World Physics (Nova Science, 1999), pp. 1-35.
  8. C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, J. Opt. A Pure Appl. Opt. 6, S162 (2004).
    [CrossRef]
  9. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1985).
  10. J. Riishede, N. A. Mortensten, and J. Laegsgaard, J. Opt. A Pure Appl. Opt. 5, 534 (2003).
    [CrossRef]
  11. S. Chandrasekhar, Liquid Crystals (Cambridge U. Press, 1977).

2004

2003

J. Riishede, N. A. Mortensten, and J. Laegsgaard, J. Opt. A Pure Appl. Opt. 5, 534 (2003).
[CrossRef]

V. I. Kopp and A. Z. Genack, Opt. Lett. 28, 1876 (2003).
[CrossRef] [PubMed]

1998

A. V. Volyar and T. A. Fadeyeva, Opt. Spectrosc. 8, 272 (1998).

1981

1979

1974

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

Alexeyev, C. N.

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, J. Opt. A Pure Appl. Opt. 6, S162 (2004).
[CrossRef]

Baggett, J. C.

Barlow, A. J.

Belardi, W.

Berry, M. V.

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

Chandrasekhar, S.

S. Chandrasekhar, Liquid Crystals (Cambridge U. Press, 1977).

Fadeyeva, T. A.

A. V. Volyar and T. A. Fadeyeva, Opt. Spectrosc. 8, 272 (1998).

Fuochi, M.

Furusawa, K.

Genack, A. Z.

Hayers, J. R.

Kopp, V. I.

Laegsgaard, J.

J. Riishede, N. A. Mortensten, and J. Laegsgaard, J. Opt. A Pure Appl. Opt. 5, 534 (2003).
[CrossRef]

Love, J. D.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1985).

Monro, T. M.

Mortensten, N. A.

J. Riishede, N. A. Mortensten, and J. Laegsgaard, J. Opt. A Pure Appl. Opt. 5, 534 (2003).
[CrossRef]

Nye, J. F.

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

Payne, D. N.

Ramskov-Hansen, J. J.

Richardson, D. J.

Riishede, J.

J. Riishede, N. A. Mortensten, and J. Laegsgaard, J. Opt. A Pure Appl. Opt. 5, 534 (2003).
[CrossRef]

Simon, A.

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1985).

Ulrich, R.

Volyar, A. V.

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, J. Opt. A Pure Appl. Opt. 6, S162 (2004).
[CrossRef]

A. V. Volyar and T. A. Fadeyeva, Opt. Spectrosc. 8, 272 (1998).

Yavorsky, M. A.

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, J. Opt. A Pure Appl. Opt. 6, S162 (2004).
[CrossRef]

Appl. Opt.

J. Opt. A Pure Appl. Opt.

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, J. Opt. A Pure Appl. Opt. 6, S162 (2004).
[CrossRef]

J. Riishede, N. A. Mortensten, and J. Laegsgaard, J. Opt. A Pure Appl. Opt. 5, 534 (2003).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Spectrosc.

A. V. Volyar and T. A. Fadeyeva, Opt. Spectrosc. 8, 272 (1998).

Proc. R. Soc. London Ser. A

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
[CrossRef]

Other

M.Vasnetsov and K.Staliunas, eds., Optical Vortices, Vol. 228 of Horizons in World Physics (Nova Science, 1999), pp. 1-35.

S. Chandrasekhar, Liquid Crystals (Cambridge U. Press, 1977).

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1985).

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Figures (3)

Fig. 1
Fig. 1

Highly twisted high-birefringence optical fiber: (a) fiber cross section, (b) helixlike distribution of a core birefringence.

Fig. 2
Fig. 2

Behavior of propagation constants β ( H ) of the forward-propagating partial waves near the bandgap; 1, 3, β 2 + ; 2, 4, β 4 + . (Curves of propagation constants β 1 + 4.44 and β 1 1.48 are not shown.) Δ n = 10 3 , n co = 1.48 .

Fig. 3
Fig. 3

Behavior of mode coefficients C 2 i + near the bandgap: 1, 3, C 22 + ; 2, 4, C 24 + . (Curves of coefficients C 21 + 0 and C 23 + 1 are not shown.) Δ n = 10 3 , n co = 1.48 .

Equations (12)

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[ 2 + k 2 n 2 ( x , y , z ) ] E = [ E ln n 2 ( x , y , z ) ] .
n 2 n ̂ 2 ( z ) = n ¯ 2 + 1 2 ( n e 2 n o 2 ) [ 0 exp ( 2 i q z ) exp ( 2 i q z ) 0 ] ,
[ ( H ̂ 0 + q 2 φ 2 q 2 2 i q β φ ) σ ̂ 0 + 2 q ( i φ + β ) σ ̂ 3 + n co Δ n σ ̂ 1 ] Φ = β 2 Φ ,
Φ 1 = [ A exp ( i φ ) + B exp ( i φ ) ] F 1 ( r ) ,
Φ 2 = [ D exp ( i φ ) + C exp ( i φ ) ] F 1 ( r ) ,
H ̂ 0 F 1 ( r ) exp ( ± i φ ) = β ̃ n , l = 1 2 F 1 ( r ) exp ( ± i φ ) ,
[ 4 q β 4 q 2 0 0 E 0 0 E 0 0 E 4 q β 4 q 2 0 E 0 0 0 ] x = Δ β 2 x ,
β ( 1 4 ) + = q ± [ β ̃ 2 + q 2 ± ( 4 β ̃ 2 q 2 + E 2 ) 1 2 ] 1 2 ,
β ( 1 4 ) = q ± [ β ̃ 2 + q 2 ± ( 4 β ̃ 2 q 2 + E 2 ) 1 2 ] 1 2 ,
ψ i ( 1 ) = C 1 i + 1 , 1 exp ( i β i z ) + C 2 i + 1 , 1 exp ( i β i + z ) ,
ψ i ( 2 ) = C 2 i 1 , 1 exp ( i β i z ) + C 1 i 1 , 1 exp ( i β i + z ) ,
ψ 1 , 3 ( 1 ) ± 1 , 1 , ψ 1 , 3 ( 2 ) ± 1 , 1 .

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