Abstract

The bandwidth in which the first-order approximation of the principal states of polarization of a single-mode fiber can be assumed valid is examined. The principal states of polarization and their bandwidth are found for a fiber with both constant coupling and birefringence, and the relationship with the fiber’s eigenmodes is examined. On the basis of these results, a fiber cascade is analyzed, and a Monte Carlo simulation provides theoretical values of the bandwidth that have been experimentally verified on a 2-km-long concatenation of single-mode dispersion-shifted fibers.

© 1991 Optical Society of America

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References

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  1. C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
    [CrossRef]
  2. C. D. Poole, Opt. Lett. 12, 687 (1988).
    [CrossRef]
  3. D. Andresciani, F. Curti, F. Matera, B. Daino, Opt. Let. 12, 844 (1987).
    [CrossRef]
  4. C. D. Poole, N. S. Bergano, R. E. Wagner, H. J. Schulte, IEEE J. Lightwave Technol. 6, 1185 (1988).
    [CrossRef]
  5. C. D. Poole, R. Giles, Opt. Lett. 13, 155 (1988).
    [CrossRef] [PubMed]
  6. M. Monerie, L. Jeunhomme, Opt. Quantum Electron. 12, 449 (1980).
    [CrossRef]
  7. F. Curti, B. Daino, G. De Marchis, F. Matera, IEEE J. Lightwave Technol. 8, 1162 (1990).
    [CrossRef]
  8. F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).
  9. F. Curti, B. Daino, G. De Marchis, F. Matera, in Proceedings of the European Conference on Optical Communications (Chalmers University of Technology, Gothenberg, Sweden, 1989), p. 215.

1990 (1)

F. Curti, B. Daino, G. De Marchis, F. Matera, IEEE J. Lightwave Technol. 8, 1162 (1990).
[CrossRef]

1988 (4)

F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).

C. D. Poole, Opt. Lett. 12, 687 (1988).
[CrossRef]

C. D. Poole, N. S. Bergano, R. E. Wagner, H. J. Schulte, IEEE J. Lightwave Technol. 6, 1185 (1988).
[CrossRef]

C. D. Poole, R. Giles, Opt. Lett. 13, 155 (1988).
[CrossRef] [PubMed]

1987 (1)

D. Andresciani, F. Curti, F. Matera, B. Daino, Opt. Let. 12, 844 (1987).
[CrossRef]

1986 (1)

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

1980 (1)

M. Monerie, L. Jeunhomme, Opt. Quantum Electron. 12, 449 (1980).
[CrossRef]

Andresciani, D.

D. Andresciani, F. Curti, F. Matera, B. Daino, Opt. Let. 12, 844 (1987).
[CrossRef]

Bergano, N. S.

C. D. Poole, N. S. Bergano, R. E. Wagner, H. J. Schulte, IEEE J. Lightwave Technol. 6, 1185 (1988).
[CrossRef]

Curti, F.

F. Curti, B. Daino, G. De Marchis, F. Matera, IEEE J. Lightwave Technol. 8, 1162 (1990).
[CrossRef]

F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).

D. Andresciani, F. Curti, F. Matera, B. Daino, Opt. Let. 12, 844 (1987).
[CrossRef]

F. Curti, B. Daino, G. De Marchis, F. Matera, in Proceedings of the European Conference on Optical Communications (Chalmers University of Technology, Gothenberg, Sweden, 1989), p. 215.

Daino, B.

F. Curti, B. Daino, G. De Marchis, F. Matera, IEEE J. Lightwave Technol. 8, 1162 (1990).
[CrossRef]

F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).

D. Andresciani, F. Curti, F. Matera, B. Daino, Opt. Let. 12, 844 (1987).
[CrossRef]

F. Curti, B. Daino, G. De Marchis, F. Matera, in Proceedings of the European Conference on Optical Communications (Chalmers University of Technology, Gothenberg, Sweden, 1989), p. 215.

De Marchis, G.

F. Curti, B. Daino, G. De Marchis, F. Matera, IEEE J. Lightwave Technol. 8, 1162 (1990).
[CrossRef]

F. Curti, B. Daino, G. De Marchis, F. Matera, in Proceedings of the European Conference on Optical Communications (Chalmers University of Technology, Gothenberg, Sweden, 1989), p. 215.

Giles, R.

Jeunhomme, L.

M. Monerie, L. Jeunhomme, Opt. Quantum Electron. 12, 449 (1980).
[CrossRef]

Mao, Q.

F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).

Matera, F.

F. Curti, B. Daino, G. De Marchis, F. Matera, IEEE J. Lightwave Technol. 8, 1162 (1990).
[CrossRef]

F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).

D. Andresciani, F. Curti, F. Matera, B. Daino, Opt. Let. 12, 844 (1987).
[CrossRef]

F. Curti, B. Daino, G. De Marchis, F. Matera, in Proceedings of the European Conference on Optical Communications (Chalmers University of Technology, Gothenberg, Sweden, 1989), p. 215.

Monerie, M.

M. Monerie, L. Jeunhomme, Opt. Quantum Electron. 12, 449 (1980).
[CrossRef]

Poole, C. D.

C. D. Poole, N. S. Bergano, R. E. Wagner, H. J. Schulte, IEEE J. Lightwave Technol. 6, 1185 (1988).
[CrossRef]

C. D. Poole, Opt. Lett. 12, 687 (1988).
[CrossRef]

C. D. Poole, R. Giles, Opt. Lett. 13, 155 (1988).
[CrossRef] [PubMed]

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Schulte, H. J.

C. D. Poole, N. S. Bergano, R. E. Wagner, H. J. Schulte, IEEE J. Lightwave Technol. 6, 1185 (1988).
[CrossRef]

Someda, C. G.

F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).

Wagner, R. E.

C. D. Poole, N. S. Bergano, R. E. Wagner, H. J. Schulte, IEEE J. Lightwave Technol. 6, 1185 (1988).
[CrossRef]

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Electron. Lett. (2)

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

F. Curti, B. Daino, Q. Mao, F. Matera, C. G. Someda, Electron. Lett. 25, 687 (1988).

IEEE J. Lightwave Technol. (2)

F. Curti, B. Daino, G. De Marchis, F. Matera, IEEE J. Lightwave Technol. 8, 1162 (1990).
[CrossRef]

C. D. Poole, N. S. Bergano, R. E. Wagner, H. J. Schulte, IEEE J. Lightwave Technol. 6, 1185 (1988).
[CrossRef]

Opt. Let. (1)

D. Andresciani, F. Curti, F. Matera, B. Daino, Opt. Let. 12, 844 (1987).
[CrossRef]

Opt. Lett. (2)

Opt. Quantum Electron. (1)

M. Monerie, L. Jeunhomme, Opt. Quantum Electron. 12, 449 (1980).
[CrossRef]

Other (1)

F. Curti, B. Daino, G. De Marchis, F. Matera, in Proceedings of the European Conference on Optical Communications (Chalmers University of Technology, Gothenberg, Sweden, 1989), p. 215.

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Figures (3)

Fig. 1
Fig. 1

Maximum and minimum bandwidth B of the PSP’s in a fiber cascade versus the number of pieces for three different degrees of correlation: case a, V = 1 (total uncorrelation); case b, V = 0.1 (medium correlation); case c, V = 0.001 (high correlation).

Fig. 2
Fig. 2

Bandwidth B of the PSP’s measure ed on the concatenation of 2, 3, …, 12 single-mode dispersion-shifted fibers at 1553 nm and minimum and maximum theoretical bandwidth obtained by means of the simulation!

Fig. 3
Fig. 3

Product P = ΔτB in the concatenation of 2, 3, …, 12 fibers at 1553 nm.

Equations (9)

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exp [ j ϕ b ± ( ω ) ] b ± = exp [ j β ( ω ) ] U ( ω ) a ± ( ω ) = exp [ i β ( ω ) ] [ u 1 u 2 - u 2 * u 1 * ] a ± ( ω ) ,
Δ ω Δ ω A = { [ 4 π / ϕ b ± ( ω 0 ) ] 1 / 2 } min ,
Δ ω Δ ω B = { [ a ± ( ω 0 ) a * ( ω 0 ) a τ / 2 ] - 1 / 2 } min ,
β = β y + β x 2 z ,             u 1 = cos ( ξ 2 z ) + j Δ β ξ sin ( ξ 2 z ) , u 2 = 2 K ξ sin ( ξ 2 z ) ,
a ± = b ± = [ 2 K - j [ Δ β ± ( Δ β 2 + 4 α 2 + 4 γ 2 ) 1 / 2 ] ] z Q ± ,
Δ τ = z ( Δ β 2 + 4 α 2 + 4 γ 2 ) 1 / 2 , Q ± = [ ± Δ τ ( ± Δ τ 2 - Δ β z 2 ) ] 1 / 2 .
a ± = b ± = [ 2 K - j ( Δ β ± ξ ) ] exp ( ± j ξ 2 z ) 2 [ ± ξ ( ± ξ + Δ β ) ] 1 / 2 , Δ τ = z Δ β Δ β + 4 α α + 4 γ γ ξ .
u 1 = exp [ j ω - ω 0 2 ( Δ τ 1 + Δ τ 2 ) ] cos 2 θ + exp [ j ω - ω 0 2 ( Δ τ 1 - Δ τ 2 ) ] sin 2 θ , u 2 = sin θ cos θ exp ( 2 j u ) { - exp [ j ω - ω 0 2 ( Δ τ 2 - Δ τ 1 ) ] + exp [ - j ω - ω 0 2 ( Δ τ 1 + Δ τ 2 ) ] } ,
Δ ω A = ,             Δ ω B = 1 [ sin ( 2 θ ) Δ τ 1 Δ τ 2 ] 1 / 2 .

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