Abstract

We perform a proof-of-concept implementation of the massively parallel algorithm [P. M. Lushnikov, Opt. Lett. 27, 939 (2002)] for simulation of dispersion-managed wavelength-division-multiplexed optical fiber systems. Linear scalability of the algorithm with the number of computer cores is demonstrated. Exact result on the accuracy of the implemented algorithm is found analytically and confirmed numerically as well as it is compared with the accuracy of the standard split-step algorithm.

© 2011 Optical Society of America

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References

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  1. J. Renaudier, G. Charlet, M. Salsi, O. B. Pardo, H. Mardoyan, P. Tran, and S. Bigo, J. Lightwave Technol. 26, 36 (2008).
    [Crossref]
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    [Crossref]
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    [Crossref]
  4. P. M. Lushnikov, Opt. Lett. 26, 1535 (2001).
    [Crossref]
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    [Crossref]
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  8. P. M. Lushnikov, Opt. Lett. 27, 939 (2002).
    [Crossref]
  9. I. R. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996).
    [Crossref]
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    [Crossref]

2010 (1)

S. Radic, Nat. Photon. 4, 669 (2010).
[Crossref]

2008 (1)

2007 (1)

2002 (2)

2001 (1)

2000 (1)

1996 (2)

I. R. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996).
[Crossref]

I. R. Gabitov and S. K. Turitsyn, JETP Lett. 63, 861 (1996).
[Crossref]

Bigo, S.

Charlet, G.

Gabitov, I. R.

Indik, R.

Lushnikov, P. M.

Mardoyan, H.

Mollenauer, L.

Pardo, O. B.

Radic, S.

S. Radic, Nat. Photon. 4, 669 (2010).
[Crossref]

Renaudier, J.

Salsi, M.

Shkarayev, M.

Tran, P.

Turitsyn, S. K.

I. R. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996).
[Crossref]

I. R. Gabitov and S. K. Turitsyn, JETP Lett. 63, 861 (1996).
[Crossref]

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Figures (3)

Fig. 1
Fig. 1

Schematic representation of MPA.

Fig. 2
Fig. 2

Scalability of MPA on HP SuperDome 64000.

Fig. 3
Fig. 3

Errors in L norm (maximum over t) of MPA and SS versus M. Results for fourth and fifth iterations are visually indistinguishable with the theoretical scaling line. Inset shows the error (normalized to max | ψ ( t ) | ) with t for 20-channel WDM system after 10 4 km .

Equations (7)

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i A z 1 2 β 2 ( z ) A t t i 6 β 3 ( z ) A t t t + σ ( z ) | A | 2 A = i G ( z ) A ,
ψ ^ ( ω , z ) = ψ ^ ( ω , z 0 ) + i z 0 z σ ( z ) F ^ [ | A ( t , z ) | 2 A ( t , z ) ] × e i β ( ω , z ) z 0 z G ( z ) d z d z ,
A exact ( z ) = exp [ i ( L ^ + N ^ ) z ] A ( 0 ) ,
A SS ( L ) exp [ i L ^ Δ z / 2 ] Q ^ M exp [ i L ^ Δ z / 2 ] A ( 0 ) ,
r 1 = i [ L 3 / ( 2 M 2 ) ] P L + [ L 3 / M 2 ] O ( L ^ N ^ 2 A 0 ) ,
ψ ^ l ( n + 1 ) ( ω ) = ψ ^ 0 ( n ) ( ω ) + i V 0 ( n ) 2 + i j = 1 l 1 V j ( n ) + i V l ( n ) 2 ,
r 2 = i L 3 M 2 P L + L 3 M 2 O ( L ^ N ^ 2 A 0 ) + O ( N ^ n + 1 A 0 ) ,

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