Abstract

A full set of double-sided power constraints are derived from the single-sided constraints at only two points of each section of a point to point optical link. It is shown that this can be obtained if the input power of the link remains within a feasible range. The two single-sided constraints provide the upper bounds for the gain values of the amplifiers at each module. Therefore, double-sided constraints at all of the points along the link can be obtained by satisfying the gain limits of the amplifiers. Furthermore, unlike the conventional way of considering a unified set of constraints for the entire link, different minimum and maximum power constraints are considered for each section of the link.

© 2012 Optical Society of America

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References

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  1. S. D. Personick, “Fundumental Limits in Optical Communication” Proceedings of the IEEE 69, 2, 262–266 (1981).
    [Crossref]
  2. R-J. Essiambre and P. J. Winzer “Fibre nonlinearities in electronically pre-distorted transmission” ECOC Proceedings 2, 191–192 (2005).
  3. S. S. Wagner “Optical Amplifier Applications in Fiber Optic Local Networks” IEEE Trans. on Commun. 35, 4419–426 (1987).
    [Crossref]
  4. A. Mecozzi “ On Optimization of the Gain Distribution of Transmission Lines with Unequal Amplifier Spacing” Photon. Technol. Lett. 10, 7, 1033–1035 (1998).
    [Crossref]

2005 (1)

R-J. Essiambre and P. J. Winzer “Fibre nonlinearities in electronically pre-distorted transmission” ECOC Proceedings 2, 191–192 (2005).

1998 (1)

A. Mecozzi “ On Optimization of the Gain Distribution of Transmission Lines with Unequal Amplifier Spacing” Photon. Technol. Lett. 10, 7, 1033–1035 (1998).
[Crossref]

1987 (1)

S. S. Wagner “Optical Amplifier Applications in Fiber Optic Local Networks” IEEE Trans. on Commun. 35, 4419–426 (1987).
[Crossref]

1981 (1)

S. D. Personick, “Fundumental Limits in Optical Communication” Proceedings of the IEEE 69, 2, 262–266 (1981).
[Crossref]

Essiambre, R-J.

R-J. Essiambre and P. J. Winzer “Fibre nonlinearities in electronically pre-distorted transmission” ECOC Proceedings 2, 191–192 (2005).

Mecozzi, A.

A. Mecozzi “ On Optimization of the Gain Distribution of Transmission Lines with Unequal Amplifier Spacing” Photon. Technol. Lett. 10, 7, 1033–1035 (1998).
[Crossref]

Personick, S. D.

S. D. Personick, “Fundumental Limits in Optical Communication” Proceedings of the IEEE 69, 2, 262–266 (1981).
[Crossref]

Wagner, S. S.

S. S. Wagner “Optical Amplifier Applications in Fiber Optic Local Networks” IEEE Trans. on Commun. 35, 4419–426 (1987).
[Crossref]

Winzer, P. J.

R-J. Essiambre and P. J. Winzer “Fibre nonlinearities in electronically pre-distorted transmission” ECOC Proceedings 2, 191–192 (2005).

ECOC Proceedings (1)

R-J. Essiambre and P. J. Winzer “Fibre nonlinearities in electronically pre-distorted transmission” ECOC Proceedings 2, 191–192 (2005).

IEEE Trans. on Commun. (1)

S. S. Wagner “Optical Amplifier Applications in Fiber Optic Local Networks” IEEE Trans. on Commun. 35, 4419–426 (1987).
[Crossref]

Photon. Technol. Lett. (1)

A. Mecozzi “ On Optimization of the Gain Distribution of Transmission Lines with Unequal Amplifier Spacing” Photon. Technol. Lett. 10, 7, 1033–1035 (1998).
[Crossref]

Proceedings of the IEEE (1)

S. D. Personick, “Fundumental Limits in Optical Communication” Proceedings of the IEEE 69, 2, 262–266 (1981).
[Crossref]

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Figures (3)

Fig. 1
Fig. 1 Repeater modules of DCF and amplifiers locater along a point to point link

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Fig. 2
Fig. 2 Three dimensional demonstration of the minimum and the maximum limits for the input power. Pmin,i = 0.01 mW and Pmax,i = 10 mW for all i from 1 to N

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Fig. 3
Fig. 3 Two dimensional illustrations of Fig. 2 for different values of L1, Pmin and Pmax

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Tables (1)

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Table 1 Finding PIn,UB, PIn,LB, GLB,i and GUB,i from given span lengths

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Equations (11)

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G M , i = 1 Γ i Γ i + 1 ⋅ Λ i Λ i + 1 ⋅ 1 − Γ i + 1 1 − Γ i
G M , i = 1 Γ i Γ i + 1
P In ≤ P max , i Γ i , LB Γ 1 , UB
P In ≤ P max , i Γ i Γ 1
P In ≥ P min , i Γ i , LB × Γ 1 , LB
P In ≥ P min , i Γ i × Γ 1
P min , i Γ i × Γ 1 ≤ P max , i Γ i Γ 1
Ł i ≤ − 1 α ln ( P min , i P max , i )
G i ≤ P max , i P In Γ i
G i ' ≤ P In Γ i G M , i P min , i
G i ' ≤ P In P min , i Γ i Γ i + 1

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