Abstract

This work details a method to compute a probability of outage of a set of concatenated optical links with respect to multiple simultaneous optical impairments.

©2008 Optical Society of America

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References

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  1. H. Bulow, “System outage probability due to first- and second-order PMD,” IEEE Photon. Technol. Lett. 10, 696–698 (1998).
    [Crossref]
  2. H. C. Ji, J. H. Lee, and Y. C. Chung, “System outage probability due to dispersion variation caused by seasonal and regional temperature variations,” paper OME79 presented at OFC/NFOEC 2005.
  3. S. D. Dods, T. B. Anderson, K. Clarke, M. Bakaul, and A. Kowalczyk, “Asynchronous Sampling for Optical Performance Monitoring,” paper OMM5 presented at OFC/NFOEC 2007.
  4. J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Novel Outage Probability Based RWA Algorithm,” paper JThA87 presented at OFC/NFOEC 2008.
  5. J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Enabling ASON Routing via Novel Signal Quality Metrics,” paper OWR6 presented at OFC/NFOEC 2007.
  6. R. Ramaswami and K. Sivarajan, Optical Networks: A Practical Perspective (Morgan Kaufmann Pub.1998).
  7. A. F. Elrefaie, R. E. Wagner, D. A. Atlas, and D. G. Daut, “Chromatic dispersion limitations in coherent lightwave transmission systems,” J. Lightwave Technol. 6, 704–709 (1988).
    [Crossref]
  8. K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
    [Crossref]
  9. J. Yang, W. L. Kath, and C. R. Menyuk, “Polarization mode dispersion probability distribution for arbitrary distances,” Opt. Lett. 26, 1472–1474 (2001).
    [Crossref]
  10. M. Brodsky, N. J. Frigo, M. Boroditsky, and M. A.-T. Tur, “Polarization Mode Dispersion of Installed Fibers,” J. Lightwave Technol. 24, 4584–4599 (2006).
    [Crossref]
  11. P. S. Andre, A. N. Pinto, and J. L. Pinto, “Effect of temperature on the single mode fibers chromatic dispersion,” presented at IMOC 2003.
  12. M. I. Hayee and A. E. Willner, “Transmission penalties due to EDFA gain transients in add-drop multiplexed WDM networks,” IEEE Photon. Technol. Lett. 11, 889–891 (1999).
    [Crossref]
  13. A. Papoulis et al, Probability, Random Variables and Stochastic Processes (McGraw-Hill, 2002).
  14. VPI TransmissionMaker WDM, http://www.vpiphotonics.com/TMWDM.php.
  15. M. Birk, “40 Gbit/s from a carrier’s perspective,” presented at LEOS 2001.

2006 (2)

K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
[Crossref]

M. Brodsky, N. J. Frigo, M. Boroditsky, and M. A.-T. Tur, “Polarization Mode Dispersion of Installed Fibers,” J. Lightwave Technol. 24, 4584–4599 (2006).
[Crossref]

2001 (1)

1999 (1)

M. I. Hayee and A. E. Willner, “Transmission penalties due to EDFA gain transients in add-drop multiplexed WDM networks,” IEEE Photon. Technol. Lett. 11, 889–891 (1999).
[Crossref]

1998 (1)

H. Bulow, “System outage probability due to first- and second-order PMD,” IEEE Photon. Technol. Lett. 10, 696–698 (1998).
[Crossref]

1988 (1)

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, and D. G. Daut, “Chromatic dispersion limitations in coherent lightwave transmission systems,” J. Lightwave Technol. 6, 704–709 (1988).
[Crossref]

Anderson, T. B.

S. D. Dods, T. B. Anderson, K. Clarke, M. Bakaul, and A. Kowalczyk, “Asynchronous Sampling for Optical Performance Monitoring,” paper OMM5 presented at OFC/NFOEC 2007.

Andre, P. S.

P. S. Andre, A. N. Pinto, and J. L. Pinto, “Effect of temperature on the single mode fibers chromatic dispersion,” presented at IMOC 2003.

Atlas, D. A.

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, and D. G. Daut, “Chromatic dispersion limitations in coherent lightwave transmission systems,” J. Lightwave Technol. 6, 704–709 (1988).
[Crossref]

Bakaul, M.

S. D. Dods, T. B. Anderson, K. Clarke, M. Bakaul, and A. Kowalczyk, “Asynchronous Sampling for Optical Performance Monitoring,” paper OMM5 presented at OFC/NFOEC 2007.

Birk, M.

M. Birk, “40 Gbit/s from a carrier’s perspective,” presented at LEOS 2001.

Boroditsky, M.

K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
[Crossref]

M. Brodsky, N. J. Frigo, M. Boroditsky, and M. A.-T. Tur, “Polarization Mode Dispersion of Installed Fibers,” J. Lightwave Technol. 24, 4584–4599 (2006).
[Crossref]

Brodsky, M.

Bulow, H.

H. Bulow, “System outage probability due to first- and second-order PMD,” IEEE Photon. Technol. Lett. 10, 696–698 (1998).
[Crossref]

Chung, Y. C.

H. C. Ji, J. H. Lee, and Y. C. Chung, “System outage probability due to dispersion variation caused by seasonal and regional temperature variations,” paper OME79 presented at OFC/NFOEC 2005.

Clarke, K.

S. D. Dods, T. B. Anderson, K. Clarke, M. Bakaul, and A. Kowalczyk, “Asynchronous Sampling for Optical Performance Monitoring,” paper OMM5 presented at OFC/NFOEC 2007.

Cornick, K. E.

K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
[Crossref]

Daut, D. G.

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, and D. G. Daut, “Chromatic dispersion limitations in coherent lightwave transmission systems,” J. Lightwave Technol. 6, 704–709 (1988).
[Crossref]

Dods, S. D.

K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
[Crossref]

S. D. Dods, T. B. Anderson, K. Clarke, M. Bakaul, and A. Kowalczyk, “Asynchronous Sampling for Optical Performance Monitoring,” paper OMM5 presented at OFC/NFOEC 2007.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Novel Outage Probability Based RWA Algorithm,” paper JThA87 presented at OFC/NFOEC 2008.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Enabling ASON Routing via Novel Signal Quality Metrics,” paper OWR6 presented at OFC/NFOEC 2007.

Elrefaie, A. F.

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, and D. G. Daut, “Chromatic dispersion limitations in coherent lightwave transmission systems,” J. Lightwave Technol. 6, 704–709 (1988).
[Crossref]

Farrell, P. M.

K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
[Crossref]

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Enabling ASON Routing via Novel Signal Quality Metrics,” paper OWR6 presented at OFC/NFOEC 2007.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Novel Outage Probability Based RWA Algorithm,” paper JThA87 presented at OFC/NFOEC 2008.

Finch, S.

K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
[Crossref]

Frigo, N. J.

Hayee, M. I.

M. I. Hayee and A. E. Willner, “Transmission penalties due to EDFA gain transients in add-drop multiplexed WDM networks,” IEEE Photon. Technol. Lett. 11, 889–891 (1999).
[Crossref]

Hinton, K.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Novel Outage Probability Based RWA Algorithm,” paper JThA87 presented at OFC/NFOEC 2008.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Enabling ASON Routing via Novel Signal Quality Metrics,” paper OWR6 presented at OFC/NFOEC 2007.

Ji, H. C.

H. C. Ji, J. H. Lee, and Y. C. Chung, “System outage probability due to dispersion variation caused by seasonal and regional temperature variations,” paper OME79 presented at OFC/NFOEC 2005.

Kath, W. L.

Kowalczyk, A.

S. D. Dods, T. B. Anderson, K. Clarke, M. Bakaul, and A. Kowalczyk, “Asynchronous Sampling for Optical Performance Monitoring,” paper OMM5 presented at OFC/NFOEC 2007.

Lee, J. H.

H. C. Ji, J. H. Lee, and Y. C. Chung, “System outage probability due to dispersion variation caused by seasonal and regional temperature variations,” paper OME79 presented at OFC/NFOEC 2005.

Li, J. C.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Novel Outage Probability Based RWA Algorithm,” paper JThA87 presented at OFC/NFOEC 2008.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Enabling ASON Routing via Novel Signal Quality Metrics,” paper OWR6 presented at OFC/NFOEC 2007.

Menyuk, C. R.

Papoulis, A.

A. Papoulis et al, Probability, Random Variables and Stochastic Processes (McGraw-Hill, 2002).

Pinto, A. N.

P. S. Andre, A. N. Pinto, and J. L. Pinto, “Effect of temperature on the single mode fibers chromatic dispersion,” presented at IMOC 2003.

Pinto, J. L.

P. S. Andre, A. N. Pinto, and J. L. Pinto, “Effect of temperature on the single mode fibers chromatic dispersion,” presented at IMOC 2003.

Ramaswami, R.

R. Ramaswami and K. Sivarajan, Optical Networks: A Practical Perspective (Morgan Kaufmann Pub.1998).

Sivarajan, K.

R. Ramaswami and K. Sivarajan, Optical Networks: A Practical Perspective (Morgan Kaufmann Pub.1998).

Tur, M. A.-T.

Wagner, R. E.

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, and D. G. Daut, “Chromatic dispersion limitations in coherent lightwave transmission systems,” J. Lightwave Technol. 6, 704–709 (1988).
[Crossref]

Willner, A. E.

M. I. Hayee and A. E. Willner, “Transmission penalties due to EDFA gain transients in add-drop multiplexed WDM networks,” IEEE Photon. Technol. Lett. 11, 889–891 (1999).
[Crossref]

Yang, J.

IEEE Photon. Technol. Lett. (3)

H. Bulow, “System outage probability due to first- and second-order PMD,” IEEE Photon. Technol. Lett. 10, 696–698 (1998).
[Crossref]

M. I. Hayee and A. E. Willner, “Transmission penalties due to EDFA gain transients in add-drop multiplexed WDM networks,” IEEE Photon. Technol. Lett. 11, 889–891 (1999).
[Crossref]

K. E. Cornick, M. Boroditsky, S. Finch, S. D. Dods, and P. M. Farrell, “Experimental comparison of PMD-induced system penalty models,” IEEE Photon. Technol. Lett. 18, 1149–1151 (2006).
[Crossref]

J. Lightwave Technol. (2)

A. F. Elrefaie, R. E. Wagner, D. A. Atlas, and D. G. Daut, “Chromatic dispersion limitations in coherent lightwave transmission systems,” J. Lightwave Technol. 6, 704–709 (1988).
[Crossref]

M. Brodsky, N. J. Frigo, M. Boroditsky, and M. A.-T. Tur, “Polarization Mode Dispersion of Installed Fibers,” J. Lightwave Technol. 24, 4584–4599 (2006).
[Crossref]

Opt. Lett. (1)

Other (9)

P. S. Andre, A. N. Pinto, and J. L. Pinto, “Effect of temperature on the single mode fibers chromatic dispersion,” presented at IMOC 2003.

A. Papoulis et al, Probability, Random Variables and Stochastic Processes (McGraw-Hill, 2002).

VPI TransmissionMaker WDM, http://www.vpiphotonics.com/TMWDM.php.

M. Birk, “40 Gbit/s from a carrier’s perspective,” presented at LEOS 2001.

H. C. Ji, J. H. Lee, and Y. C. Chung, “System outage probability due to dispersion variation caused by seasonal and regional temperature variations,” paper OME79 presented at OFC/NFOEC 2005.

S. D. Dods, T. B. Anderson, K. Clarke, M. Bakaul, and A. Kowalczyk, “Asynchronous Sampling for Optical Performance Monitoring,” paper OMM5 presented at OFC/NFOEC 2007.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Novel Outage Probability Based RWA Algorithm,” paper JThA87 presented at OFC/NFOEC 2008.

J. C. Li, K. Hinton, S. D. Dods, and P. M. Farrell, “Enabling ASON Routing via Novel Signal Quality Metrics,” paper OWR6 presented at OFC/NFOEC 2007.

R. Ramaswami and K. Sivarajan, Optical Networks: A Practical Perspective (Morgan Kaufmann Pub.1998).

Supplementary Material (1)

» Media 1: MOV (3850 KB)     

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Figures (3)

Fig. 1.
Fig. 1. Outage probability computation process from impairment PMFs.
Fig. 2.
Fig. 2. (a) Outage probability due to DGD for various bit rates. (b) Outage probability due to RCD for various bit rates. (c) Outage probability due to OSNR for various bit rates.
Fig. 3.
Fig. 3. (3.75 MB) Movie of outage probability due to multiple impairments (marker color represents magnitude of outage probability). Music copyright by Divine Mechanism. (www.divinemechanism.com.au). [Media 1]

Equations (9)

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ECP ( D ) = A D ( D Δ λ ) 2
ECP ( Δ τ , θ ) = A DGD L S 2 + B DGD L S 4
ECP ( OSNR ) OSNR OSNR c Δ λ 2 B o λ 2 1 + c Δ λ 2 B o λ 2 OSNR
ECP EST = ECP ( D ) + ECP ( Δ τ , θ ) + ECP ( OSNR )
D = j = 1 N D j
Δ τ ¯ = j = 1 N Δ τ j ¯ 2
P ASE = ( j = 1 N 1 P ASE , j Π k = j + 1 N G k + P ASE , N ) × 10 0.1 L Re s H Filt B Filt
Q E , m = G · Q 0 · ECP m 1 + Q 0 ( G · ECP m 1 )
BER = 1 2 erfc ( Q 2 )

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