Abstract

In this Letter, a fiber laser that exploits the dissipative Faraday instability as a pulse-generating mechanism is presented, and its dynamics are studied numerically. The proposed laser operates in the all-normal-dispersion regime and produces a train of quasi-parabolic pulses, with a repetition rate that can be controlled depending on the cavity dispersion and nonlinearity, ranging from 10 to 50 GHz. It exploits a lumped amplification scheme, which can be potentially realized with rare-earth gain media. The issues concerning the stability of the pulses are discussed, and the differences with similar pulsed lasers are highlighted. In particular, the transition from the ordered multi-pulse regime proposed here to the random pulse operation mode already studied in the literature is discussed.

© 2017 Optical Society of America

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References

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2017 (1)

2016 (3)

A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas, Phys. Rev. Lett. 116, 028701 (2016).
[Crossref]

N. Tarasov, A. M. Perego, D. V. Churkin, K. Staliunas, and S. K. Turitsyn, Nat. Commun. 7, 12441 (2016).
[Crossref]

T. North and C. Brès, APL Photon. 1, 021302 (2016).
[Crossref]

2015 (2)

2011 (1)

G. Sobon, K. Krzempek, P. Kaczmarek, K. M. Abramski, and M. Nikodem, Opt. Commun. 284, 4203 (2011).
[Crossref]

2010 (4)

B. G. Bale and S. Wabnitz, Opt. Lett. 35, 2466 (2010).
[Crossref]

B. Oktem, C. Ülgüldür, and F. O. Ilday, Nat. Photonics 4, 307 (2010).
[Crossref]

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev A 82, 023814 (2010).
[Crossref]

D. J. Richardson, J. Nilsson, and W. A. Clarkson, J. Opt. Soc. Am. B 27, B63 (2010).
[Crossref]

2009 (1)

2008 (4)

2006 (4)

2005 (1)

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. E 72, 025604(R) (2005).
[Crossref]

2004 (2)

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[Crossref]

O. Okhotnikov, A. Grudinin, and M. Pessa, New J. Phys. 6, 177 (2004).
[Crossref]

2000 (2)

H. Haus, IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).
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M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[Crossref]

1997 (1)

E. M. Pessina, G. Bonfrate, F. Fontana, and L. A. Lugiato, Phys. Rev. A 56, 4086 (1997).
[Crossref]

1993 (2)

1992 (1)

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[Crossref]

1985 (1)

W. J. Tomlinson, R. H. Stolen, and A. M. Johnson, J. Opt. Soc. Am. B 10, 457 (1985).
[Crossref]

1984 (1)

Abramski, K. M.

G. Sobon, K. Krzempek, P. Kaczmarek, K. M. Abramski, and M. Nikodem, Opt. Commun. 284, 4203 (2011).
[Crossref]

Anderson, D.

Bale, B. G.

Bonfrate, G.

E. M. Pessina, G. Bonfrate, F. Fontana, and L. A. Lugiato, Phys. Rev. A 56, 4086 (1997).
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Brès, C.

T. North and C. Brès, APL Photon. 1, 021302 (2016).
[Crossref]

Brunel, M.

Buckley, J.

Buckley, J. R.

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[Crossref]

Chédot, C.

Chen, L. R.

Chong, A.

A. Chong, L. Wright, and F. W. Wise, Rep. Prog. Phys. 78, 113901 (2015).
[Crossref]

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[Crossref]

A. Chong, W. Renninger, and F. W. Wise, J. Opt. Soc. Am. B 25, 140 (2008).
[Crossref]

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[Crossref]

Churkin, D. V.

A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas, Phys. Rev. Lett. 116, 028701 (2016).
[Crossref]

N. Tarasov, A. M. Perego, D. V. Churkin, K. Staliunas, and S. K. Turitsyn, Nat. Commun. 7, 12441 (2016).
[Crossref]

Clark, W. G.

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[Crossref]

Clarkson, W. A.

Coen, S.

Desaix, M.

Dudley, J. M.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[Crossref]

Ebling, D. G.

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

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F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
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Finot, C.

Fontana, F.

E. M. Pessina, G. Bonfrate, F. Fontana, and L. A. Lugiato, Phys. Rev. A 56, 4086 (1997).
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Golling, M.

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

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O. Okhotnikov, A. Grudinin, and M. Pessa, New J. Phys. 6, 177 (2004).
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Harvey, J. D.

V. I. Kruglov and J. D. Harvey, J. Opt. Soc. Am. B 23, 2541 (2006).
[Crossref]

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[Crossref]

Haus, H.

H. Haus, IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).
[Crossref]

Haus, H. A.

Hennrich, F.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
[Crossref]

Hideur, A.

Ilday, F. O.

B. Oktem, C. Ülgüldür, and F. O. Ilday, Nat. Photonics 4, 307 (2010).
[Crossref]

B. Ortaç, A. Hideur, M. Brunel, C. Chédot, J. Limpert, A. Tünnermann, and F. O. Ilday, Opt. Express 14, 6075 (2006).
[Crossref]

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[Crossref]

Ippen, E. P.

Johnson, A. M.

W. J. Tomlinson, R. H. Stolen, and A. M. Johnson, J. Opt. Soc. Am. B 10, 457 (1985).
[Crossref]

Kaczmarek, P.

G. Sobon, K. Krzempek, P. Kaczmarek, K. M. Abramski, and M. Nikodem, Opt. Commun. 284, 4203 (2011).
[Crossref]

Karlsson, M.

Keller, U.

A. E. H. Oehler, T. Südmeyer, K. J. Weingarten, and U. Keller, Opt. Express 16, 21930 (2008).
[Crossref]

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

Komarov, A.

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. E 72, 025604(R) (2005).
[Crossref]

Krainer, L.

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

Kruglov, V. I.

V. I. Kruglov and J. D. Harvey, J. Opt. Soc. Am. B 23, 2541 (2006).
[Crossref]

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[Crossref]

Krzempek, K.

G. Sobon, K. Krzempek, P. Kaczmarek, K. M. Abramski, and M. Nikodem, Opt. Commun. 284, 4203 (2011).
[Crossref]

Leblond, H.

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. E 72, 025604(R) (2005).
[Crossref]

Limpert, J.

Lisak, M.

Liu, Z.

Lugiato, L. A.

E. M. Pessina, G. Bonfrate, F. Fontana, and L. A. Lugiato, Phys. Rev. A 56, 4086 (1997).
[Crossref]

Mamyshev, P. V.

P. V. Mamyshev, in Proceedings of 24th European Conference on Optical Communication, Madrid, Spain (IEEE, 1998), p. 475.

Matsas, V. J.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[Crossref]

Milne, W. I.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
[Crossref]

Mollenauer, L. F.

Nelson, L. E.

Newson, T. P.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[Crossref]

Nikodem, M.

G. Sobon, K. Krzempek, P. Kaczmarek, K. M. Abramski, and M. Nikodem, Opt. Commun. 284, 4203 (2011).
[Crossref]

Nilsson, J.

North, T.

T. North and C. Brès, APL Photon. 1, 021302 (2016).
[Crossref]

Oehler, A. E. H.

Okhotnikov, O.

O. Okhotnikov, A. Grudinin, and M. Pessa, New J. Phys. 6, 177 (2004).
[Crossref]

Oktem, B.

B. Oktem, C. Ülgüldür, and F. O. Ilday, Nat. Photonics 4, 307 (2010).
[Crossref]

Ortaç, B.

Paschotta, R.

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

Payne, D. N.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[Crossref]

Perego, A. M.

A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas, Phys. Rev. Lett. 116, 028701 (2016).
[Crossref]

N. Tarasov, A. M. Perego, D. V. Churkin, K. Staliunas, and S. K. Turitsyn, Nat. Commun. 7, 12441 (2016).
[Crossref]

Pessa, M.

O. Okhotnikov, A. Grudinin, and M. Pessa, New J. Phys. 6, 177 (2004).
[Crossref]

Pessina, E. M.

E. M. Pessina, G. Bonfrate, F. Fontana, and L. A. Lugiato, Phys. Rev. A 56, 4086 (1997).
[Crossref]

Pitois, S.

Provost, L.

Quiroga-Teixeiro, M. L.

Raciukaitis, G.

Regelskis, K.

Renninger, W.

Renninger, W. H.

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev A 82, 023814 (2010).
[Crossref]

A. Chong, J. Buckley, W. H. Renninger, and F. W. Wise, Opt. Express 14, 10095 (2006).
[Crossref]

Richardson, D. J.

Rochette, M.

Rozhin, A. G.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
[Crossref]

Sanchez, F.

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. E 72, 025604(R) (2005).
[Crossref]

Scardaci, V.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
[Crossref]

Schröder, J.

Sobon, G.

G. Sobon, K. Krzempek, P. Kaczmarek, K. M. Abramski, and M. Nikodem, Opt. Commun. 284, 4203 (2011).
[Crossref]

Spühler, G. J.

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

Staliunas, K.

N. Tarasov, A. M. Perego, D. V. Churkin, K. Staliunas, and S. K. Turitsyn, Nat. Commun. 7, 12441 (2016).
[Crossref]

A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas, Phys. Rev. Lett. 116, 028701 (2016).
[Crossref]

Stolen, R. H.

W. J. Tomlinson, R. H. Stolen, and A. M. Johnson, J. Opt. Soc. Am. B 10, 457 (1985).
[Crossref]

L. F. Mollenauer and R. H. Stolen, Opt. Lett. 9, 13 (1984).
[Crossref]

Südmeyer, T.

Sun, K.

Sun, Z.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
[Crossref]

Sylvestre, T.

Tamura, K.

Tarasov, N.

N. Tarasov, A. M. Perego, D. V. Churkin, K. Staliunas, and S. K. Turitsyn, Nat. Commun. 7, 12441 (2016).
[Crossref]

A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas, Phys. Rev. Lett. 116, 028701 (2016).
[Crossref]

Thomsen, B. C.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[Crossref]

Tomlinson, W. J.

W. J. Tomlinson, R. H. Stolen, and A. M. Johnson, J. Opt. Soc. Am. B 10, 457 (1985).
[Crossref]

Tünnermann, A.

Turitsyn, S. K.

A. M. Perego, N. Tarasov, D. V. Churkin, S. K. Turitsyn, and K. Staliunas, Phys. Rev. Lett. 116, 028701 (2016).
[Crossref]

N. Tarasov, A. M. Perego, D. V. Churkin, K. Staliunas, and S. K. Turitsyn, Nat. Commun. 7, 12441 (2016).
[Crossref]

Ülgüldür, C.

B. Oktem, C. Ülgüldür, and F. O. Ilday, Nat. Photonics 4, 307 (2010).
[Crossref]

Vanholsbeeck, F.

Viskontas, K.

Wabnitz, S.

Wang, F.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
[Crossref]

Weingarten, K. J.

A. E. H. Oehler, T. Südmeyer, K. J. Weingarten, and U. Keller, Opt. Express 16, 21930 (2008).
[Crossref]

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

White, I. H.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, Nat. Nanotechnol. 3, 738 (2008).
[Crossref]

Wise, F. W.

Z. Liu, Z. M. Ziegler, G. Wright, and F. W. Wise, Optica 4, 649 (2017).
[Crossref]

A. Chong, L. Wright, and F. W. Wise, Rep. Prog. Phys. 78, 113901 (2015).
[Crossref]

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev A 82, 023814 (2010).
[Crossref]

A. Chong, W. Renninger, and F. W. Wise, J. Opt. Soc. Am. B 25, 140 (2008).
[Crossref]

A. Chong, J. Buckley, W. H. Renninger, and F. W. Wise, Opt. Express 14, 10095 (2006).
[Crossref]

F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[Crossref]

Wright, G.

Wright, L.

A. Chong, L. Wright, and F. W. Wise, Rep. Prog. Phys. 78, 113901 (2015).
[Crossref]

Zeller, S. C.

S. C. Zeller, L. Krainer, G. J. Spühler, R. Paschotta, M. Golling, U. Keller, D. G. Ebling, and K. J. Weingarten, in Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies (Optical Society of America, 2004), paper CFC1.

Želudevicius, J.

Ziegler, Z. M.

APL Photon. (1)

T. North and C. Brès, APL Photon. 1, 021302 (2016).
[Crossref]

Electron. Lett. (1)

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
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Figures (4)

Fig. 1.
Fig. 1.

Laser configuration: the unidirectional ring resonator consists of two normal dispersion passive fibers (in black) and of two active ones (in green) joined in an alternate way. At the end of each passive fiber, spectral filters are located with transmission profiles, respectively, positively/negatively detuned from the amplifier frequency ωa (indicated with black vertical arrows in the filter transmission function schematic).

Fig. 2.
Fig. 2.

Spatio-temporal representation of a stable pulse train. (a) Power pictures are taken at every round-trip before interaction with one of the spectral filters. (b) Pulse train is shown before the interaction with the spectral filter (blue line), after the filter (red line), and after the amplifier (black line). (c) Single pulse before the interaction with a spectral filter; the parabolic and second-order super-Gaussian fits are denoted with dashed and dotted lines, respectively. (d) Single pulse after the filter; a Gaussian fit is denoted with a dashed line. Parameters used for both active and passive fibers are α=0.046  km1, while β2=2  ps2/km in the passive fiber and 65  ps2/km in the amplifier and γ=1.2  W1km1 in the passive and 1  W1km1 in the active fiber. The remaining parameters are g0=1011.3  km1, Ωg6  THz, Es=2  nJ, Δν=115  GHz, σ=127.3  GHz, and T=1.

Fig. 3.
Fig. 3.

(a) Spatio-temporal dynamics in the collision regime; (b) collision among pulses [zoom from panel (a)]. (c) Spatio-temporal dynamics of pulses stabilized by a detuning increment. The parameters in (a) and (b) are as in Fig. 2, except for β2=28  ps2/km in the passive fiber, while Δν=95.5  GHz. In (c) and (d), the parameters are identical as in (a) and (b), except for Δν=102.6  GHz.

Fig. 4.
Fig. 4.

Spatio-temporal representation of the random operation regime: the intracavity power is plotted for (a) Δν=124.5  GHz and (b) Δν=125.4  GHz showing the random operation regime. The remaining parameters are as in Fig. 2.

Equations (3)

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Az=gAα2+(1Ωg2iβ22)2At2+iγ|A|2A,
f±(ω±Δω)=Te(ω±Δω)4σ4.
νp12Lfβ2γ|A|2.

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