Abstract

We demonstrate the fast-axis instability in mode-locked fiber lasers numerically for the first time. We find that the energy of the fast mode will be transferred to the slow mode when the strong pump strength makes the soliton period short. A nearly linearly polarized vector soliton along the slow-axis could be generated under certain cavity parameters. The final polarization of the vector soliton is related to the initial polarization of the seed pulse. Two regimes of energy exchanging between the slow mode and the fast mode are explored and the direction of the energy flow between two modes depends on the phase difference. The dip-type sidebands are found to be intrinsic characteristics of the mode-locked fiber lasers under high pulse energy.

© 2017 Optical Society of America

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References

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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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2016 (3)

2015 (2)

2014 (1)

2013 (2)

Y. F. Song, L. Li, H. Zhang, D. Y. Shen, D. Y. Tang, and K. P. Loh, “Vector multi-soliton operation and interaction in a graphene mode-locked fiber laser,” Opt. Express 21(8), 10010–10018 (2013).
[Crossref] [PubMed]

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

2012 (5)

2010 (4)

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, C. Lu, and H. Y. Tam, “Observation of dip-type sidebands in a soliton fiber laser,” Opt. Commun. 283(2), 340–343 (2010).
[Crossref]

D. Y. Qian, N. Cvijetic, J. Q. Hu, and T. Wang, “108Gb/s OFDMA-PON With Polarization Multiplexing and Direct Detection,” J. Lightwave Technol. 28(4), 484–493 (2010).
[Crossref]

H. Zhang, D. Y. Tang, L. M. Zhao, Q. L. Bao, and K. P. Loh, “Vector dissipative soliton in graphene mode locked fiber laser,” Opt. Commun. 283(17), 3334–3338 (2010).
[Crossref]

L. M. Zhao, D. Y. Tang, X. Wu, and H. Zhang, “Dissipative soliton trapping in normal dispersion-fiber lasers,” Opt. Lett. 35(11), 1902–1904 (2010).
[Crossref] [PubMed]

2009 (2)

2008 (4)

2007 (1)

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent Optical Detection of Highly Excited Rydberg States using Electromagnetically Induced Transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).
[Crossref] [PubMed]

2000 (1)

1999 (1)

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

1997 (2)

Y. Barad and Y. Silbernerg, “Polarization Evolution and Polarization Instability of Solitons in a Birefringent Optical Fiber,” Phys. Rev. Lett. 78(17), 3290–3293 (1997).
[Crossref]

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

1995 (1)

Y. Chen and J. Atai, “Polarization instabilities in birefringent fibers: A comparison between continuous waves and solitons,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(3), 3102–3105 (1995).
[Crossref] [PubMed]

1994 (1)

N. Akhmediev and J. M. Soto-Crespo, “Dynamics of solitonlike pulse propagation in birefringent optical fibers,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(6), 5742–5754 (1994).
[Crossref] [PubMed]

1992 (1)

N. J. Smith, K. J. Blow, and A. Andonovic, “Sideband Generation Through Perturbations to the Average Soliton Model,” J. Lightwave Technol. 10(10), 1329–1333 (1992).
[Crossref]

1987 (1)

1982 (1)

1973 (1)

A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23(142), 141–144 (1973).

Adams, C. S.

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent Optical Detection of Highly Excited Rydberg States using Electromagnetically Induced Transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).
[Crossref] [PubMed]

Akhmediev, N.

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).
[Crossref]

N. Akhmediev and J. M. Soto-Crespo, “Dynamics of solitonlike pulse propagation in birefringent optical fibers,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(6), 5742–5754 (1994).
[Crossref] [PubMed]

Akhmediev, N. N.

B. C. Collings, S. T. Cundiff, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Polarization-locked temporal vector solitons in a fiber laser:experiment,” J. Opt. Soc. Am. B 17(3), 354–365 (2000).
[Crossref]

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

Andonovic, A.

N. J. Smith, K. J. Blow, and A. Andonovic, “Sideband Generation Through Perturbations to the Average Soliton Model,” J. Lightwave Technol. 10(10), 1329–1333 (1992).
[Crossref]

Atai, J.

Y. Chen and J. Atai, “Polarization instabilities in birefringent fibers: A comparison between continuous waves and solitons,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(3), 3102–3105 (1995).
[Crossref] [PubMed]

Bao, Q. L.

H. Zhang, D. Y. Tang, L. M. Zhao, Q. L. Bao, and K. P. Loh, “Vector dissipative soliton in graphene mode locked fiber laser,” Opt. Commun. 283(17), 3334–3338 (2010).
[Crossref]

Barad, Y.

Y. Barad and Y. Silbernerg, “Polarization Evolution and Polarization Instability of Solitons in a Birefringent Optical Fiber,” Phys. Rev. Lett. 78(17), 3290–3293 (1997).
[Crossref]

Bergman, K.

B. C. Collings, S. T. Cundiff, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Polarization-locked temporal vector solitons in a fiber laser:experiment,” J. Opt. Soc. Am. B 17(3), 354–365 (2000).
[Crossref]

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

Blow, K. J.

N. J. Smith, K. J. Blow, and A. Andonovic, “Sideband Generation Through Perturbations to the Average Soliton Model,” J. Lightwave Technol. 10(10), 1329–1333 (1992).
[Crossref]

K. J. Blow, N. J. Doran, and D. Wood, “Polarization instabilities for solitons in birefringent fibers,” Opt. Lett. 12(3), 202–204 (1987).
[Crossref] [PubMed]

Chen, Y.

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

Y. Chen and J. Atai, “Polarization instabilities in birefringent fibers: A comparison between continuous waves and solitons,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(3), 3102–3105 (1995).
[Crossref] [PubMed]

Collings, B. C.

B. C. Collings, S. T. Cundiff, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Polarization-locked temporal vector solitons in a fiber laser:experiment,” J. Opt. Soc. Am. B 17(3), 354–365 (2000).
[Crossref]

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

Crosignani, B.

Cundiff, S. T.

B. C. Collings, S. T. Cundiff, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Polarization-locked temporal vector solitons in a fiber laser:experiment,” J. Opt. Soc. Am. B 17(3), 354–365 (2000).
[Crossref]

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

Cutolo, A.

Cvijetic, N.

Doran, N. J.

Fu, S.

Grelu, P.

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).
[Crossref]

Guo, B.

Han, D.

Han, M.

Hasegawa, A.

A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23(142), 141–144 (1973).

Haus, H. A.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Hu, J. Q.

Ippen, E. P.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Jackson, T. R.

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent Optical Detection of Highly Excited Rydberg States using Electromagnetically Induced Transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).
[Crossref] [PubMed]

Jones, D. J.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Knox, W. H.

B. C. Collings, S. T. Cundiff, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Polarization-locked temporal vector solitons in a fiber laser:experiment,” J. Opt. Soc. Am. B 17(3), 354–365 (2000).
[Crossref]

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

Li, L.

Li, X.

Liu, D.

Liu, X.

Loh, K. P.

Y. F. Song, L. Li, H. Zhang, D. Y. Shen, D. Y. Tang, and K. P. Loh, “Vector multi-soliton operation and interaction in a graphene mode-locked fiber laser,” Opt. Express 21(8), 10010–10018 (2013).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, Q. L. Bao, and K. P. Loh, “Vector dissipative soliton in graphene mode locked fiber laser,” Opt. Commun. 283(17), 3334–3338 (2010).
[Crossref]

Lu, C.

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, C. Lu, and H. Y. Tam, “Observation of dip-type sidebands in a soliton fiber laser,” Opt. Commun. 283(2), 340–343 (2010).
[Crossref]

Lu, H.

Luo, Y.

Lyu, Q.

Mao, D.

Mikhailov, V.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

Mohapatra, A. K.

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent Optical Detection of Highly Excited Rydberg States using Electromagnetically Induced Transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).
[Crossref] [PubMed]

Mou, C.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

S. V. Sergeyev, C. Mou, A. Rozhin, and S. K. Turitsyn, “Vector solitons with locked and precessing states of polarization,” Opt. Express 20(24), 27434–27440 (2012).
[Crossref] [PubMed]

Nelson, L. E.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Porto, P. D.

Qi, X.

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

Qian, D. Y.

Rabin, B.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

Rozhin, A.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

S. V. Sergeyev, C. Mou, A. Rozhin, and S. K. Turitsyn, “Vector solitons with locked and precessing states of polarization,” Opt. Express 20(24), 27434–27440 (2012).
[Crossref] [PubMed]

Sergeyev, S. V.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

S. V. Sergeyev, C. Mou, A. Rozhin, and S. K. Turitsyn, “Vector solitons with locked and precessing states of polarization,” Opt. Express 20(24), 27434–27440 (2012).
[Crossref] [PubMed]

Shao, G.

Shen, D.

Shen, D. Y.

Silbernerg, Y.

Y. Barad and Y. Silbernerg, “Polarization Evolution and Polarization Instability of Solitons in a Birefringent Optical Fiber,” Phys. Rev. Lett. 78(17), 3290–3293 (1997).
[Crossref]

Smith, N. J.

N. J. Smith, K. J. Blow, and A. Andonovic, “Sideband Generation Through Perturbations to the Average Soliton Model,” J. Lightwave Technol. 10(10), 1329–1333 (1992).
[Crossref]

Song, Y.

Song, Y. F.

Soto-Crespo, J. M.

B. C. Collings, S. T. Cundiff, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Polarization-locked temporal vector solitons in a fiber laser:experiment,” J. Opt. Soc. Am. B 17(3), 354–365 (2000).
[Crossref]

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

N. Akhmediev and J. M. Soto-Crespo, “Dynamics of solitonlike pulse propagation in birefringent optical fibers,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(6), 5742–5754 (1994).
[Crossref] [PubMed]

Sun, Q.

Tam, H. Y.

Tamura, K.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Tang, D.

Tang, D. Y.

Y. F. Song, H. Zhang, L. M. Zhao, D. Y. Shen, and D. Y. Tang, “Coexistence and interaction of vector and bound vector solitons in a dispersion-managed fiber laser mode locked by graphene,” Opt. Express 24(2), 1814–1822 (2016).
[Crossref] [PubMed]

Y. F. Song, L. Li, H. Zhang, D. Y. Shen, D. Y. Tang, and K. P. Loh, “Vector multi-soliton operation and interaction in a graphene mode-locked fiber laser,” Opt. Express 21(8), 10010–10018 (2013).
[Crossref] [PubMed]

Y. F. Song, H. Zhang, D. Y. Tang, and D. Y. Shen, “Polarization rotation vector solitons in a graphene mode-locked fiber laser,” Opt. Express 20(24), 27283–27289 (2012).
[Crossref] [PubMed]

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, C. Lu, and H. Y. Tam, “Observation of dip-type sidebands in a soliton fiber laser,” Opt. Commun. 283(2), 340–343 (2010).
[Crossref]

H. Zhang, D. Y. Tang, L. M. Zhao, Q. L. Bao, and K. P. Loh, “Vector dissipative soliton in graphene mode locked fiber laser,” Opt. Commun. 283(17), 3334–3338 (2010).
[Crossref]

L. M. Zhao, D. Y. Tang, X. Wu, and H. Zhang, “Dissipative soliton trapping in normal dispersion-fiber lasers,” Opt. Lett. 35(11), 1902–1904 (2010).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, and H. Y. Tam, “Coexistence of polarization-locked and polarization-rotating vector solitons in a fiber laser with SESAM,” Opt. Lett. 34(20), 3059–3061 (2009).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, X. Wu, and H. Y. Tam, “Dissipative vector solitons in a dispersionmanaged cavity fiber laser with net positive cavity dispersion,” Opt. Express 17(2), 455–460 (2009).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, and N. Xiang, “Coherent energy exchange between components of a vector soliton in fiber lasers,” Opt. Express 16(17), 12618–12623 (2008).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, H. Zhang, X. Wu, and N. Xiang, “Soliton trapping in fiber lasers,” Opt. Express 16(13), 9528–9533 (2008).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, H. Zhang, and X. Wu, “Polarization rotation locking of vector solitons in a fiber ring laser,” Opt. Express 16(14), 10053–10058 (2008).
[Crossref] [PubMed]

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101(15), 153904 (2008).
[Crossref] [PubMed]

Tappert, F.

A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23(142), 141–144 (1973).

Tsatourian, V.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

Turitsyn, S. K.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

S. V. Sergeyev, C. Mou, A. Rozhin, and S. K. Turitsyn, “Vector solitons with locked and precessing states of polarization,” Opt. Express 20(24), 27434–27440 (2012).
[Crossref] [PubMed]

Wang, P. F.

Wang, T.

Wang, Z. T.

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

Wen, S. C.

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

Westbrook, P. S.

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

Wood, D.

Wu, X.

Wu, Z.

Xiang, N.

Xu, Z.

Yang, H.

Yao, Y.

Yuan, T.

Yun, L.

Zhang, H.

Y. F. Song, H. Zhang, L. M. Zhao, D. Y. Shen, and D. Y. Tang, “Coexistence and interaction of vector and bound vector solitons in a dispersion-managed fiber laser mode locked by graphene,” Opt. Express 24(2), 1814–1822 (2016).
[Crossref] [PubMed]

M. Han, S. Zhang, X. Li, H. Zhang, H. Yang, and T. Yuan, “Polarization dynamic patterns of vector solitons in a graphene mode-locked fiber laser,” Opt. Express 23(3), 2424–2435 (2015).
[Crossref] [PubMed]

Y. F. Song, L. Li, H. Zhang, D. Y. Shen, D. Y. Tang, and K. P. Loh, “Vector multi-soliton operation and interaction in a graphene mode-locked fiber laser,” Opt. Express 21(8), 10010–10018 (2013).
[Crossref] [PubMed]

Y. F. Song, H. Zhang, D. Y. Tang, and D. Y. Shen, “Polarization rotation vector solitons in a graphene mode-locked fiber laser,” Opt. Express 20(24), 27283–27289 (2012).
[Crossref] [PubMed]

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, C. Lu, and H. Y. Tam, “Observation of dip-type sidebands in a soliton fiber laser,” Opt. Commun. 283(2), 340–343 (2010).
[Crossref]

H. Zhang, D. Y. Tang, L. M. Zhao, Q. L. Bao, and K. P. Loh, “Vector dissipative soliton in graphene mode locked fiber laser,” Opt. Commun. 283(17), 3334–3338 (2010).
[Crossref]

L. M. Zhao, D. Y. Tang, X. Wu, and H. Zhang, “Dissipative soliton trapping in normal dispersion-fiber lasers,” Opt. Lett. 35(11), 1902–1904 (2010).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, and H. Y. Tam, “Coexistence of polarization-locked and polarization-rotating vector solitons in a fiber laser with SESAM,” Opt. Lett. 34(20), 3059–3061 (2009).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, X. Wu, and H. Y. Tam, “Dissipative vector solitons in a dispersionmanaged cavity fiber laser with net positive cavity dispersion,” Opt. Express 17(2), 455–460 (2009).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, H. Zhang, X. Wu, and N. Xiang, “Soliton trapping in fiber lasers,” Opt. Express 16(13), 9528–9533 (2008).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, and N. Xiang, “Coherent energy exchange between components of a vector soliton in fiber lasers,” Opt. Express 16(17), 12618–12623 (2008).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, H. Zhang, and X. Wu, “Polarization rotation locking of vector solitons in a fiber ring laser,” Opt. Express 16(14), 10053–10058 (2008).
[Crossref] [PubMed]

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101(15), 153904 (2008).
[Crossref] [PubMed]

Zhang, S.

Zhao, C. J.

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

Zhao, L.

Zhao, L. M.

Y. F. Song, H. Zhang, L. M. Zhao, D. Y. Shen, and D. Y. Tang, “Coexistence and interaction of vector and bound vector solitons in a dispersion-managed fiber laser mode locked by graphene,” Opt. Express 24(2), 1814–1822 (2016).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, X. Wu, and H. Zhang, “Dissipative soliton trapping in normal dispersion-fiber lasers,” Opt. Lett. 35(11), 1902–1904 (2010).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, C. Lu, and H. Y. Tam, “Observation of dip-type sidebands in a soliton fiber laser,” Opt. Commun. 283(2), 340–343 (2010).
[Crossref]

H. Zhang, D. Y. Tang, L. M. Zhao, Q. L. Bao, and K. P. Loh, “Vector dissipative soliton in graphene mode locked fiber laser,” Opt. Commun. 283(17), 3334–3338 (2010).
[Crossref]

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, and H. Y. Tam, “Coexistence of polarization-locked and polarization-rotating vector solitons in a fiber laser with SESAM,” Opt. Lett. 34(20), 3059–3061 (2009).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, X. Wu, and H. Y. Tam, “Dissipative vector solitons in a dispersionmanaged cavity fiber laser with net positive cavity dispersion,” Opt. Express 17(2), 455–460 (2009).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, and N. Xiang, “Coherent energy exchange between components of a vector soliton in fiber lasers,” Opt. Express 16(17), 12618–12623 (2008).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, H. Zhang, and X. Wu, “Polarization rotation locking of vector solitons in a fiber ring laser,” Opt. Express 16(14), 10053–10058 (2008).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, H. Zhang, X. Wu, and N. Xiang, “Soliton trapping in fiber lasers,” Opt. Express 16(13), 9528–9533 (2008).
[Crossref] [PubMed]

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101(15), 153904 (2008).
[Crossref] [PubMed]

Appl. Phys. B (1)

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Appl. Phys. Lett. (2)

A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett. 23(142), 141–144 (1973).

C. J. Zhao, H. Zhang, X. Qi, Y. Chen, Z. T. Wang, S. C. Wen, and D. Y. Tang, “Ulta-short pulse generation by a topological insulator based saturabel absorber,” Appl. Phys. Lett. 101(21), 211106 (2012).
[Crossref]

J. Lightwave Technol. (2)

N. J. Smith, K. J. Blow, and A. Andonovic, “Sideband Generation Through Perturbations to the Average Soliton Model,” J. Lightwave Technol. 10(10), 1329–1333 (1992).
[Crossref]

D. Y. Qian, N. Cvijetic, J. Q. Hu, and T. Wang, “108Gb/s OFDMA-PON With Polarization Multiplexing and Direct Detection,” J. Lightwave Technol. 28(4), 484–493 (2010).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

Nat. Photonics (1)

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).
[Crossref]

Opt. Commun. (2)

H. Zhang, D. Y. Tang, L. M. Zhao, Q. L. Bao, and K. P. Loh, “Vector dissipative soliton in graphene mode locked fiber laser,” Opt. Commun. 283(17), 3334–3338 (2010).
[Crossref]

L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, C. Lu, and H. Y. Tam, “Observation of dip-type sidebands in a soliton fiber laser,” Opt. Commun. 283(2), 340–343 (2010).
[Crossref]

Opt. Express (12)

L. M. Zhao, D. Y. Tang, H. Zhang, and X. Wu, “Polarization rotation locking of vector solitons in a fiber ring laser,” Opt. Express 16(14), 10053–10058 (2008).
[Crossref] [PubMed]

G. Shao, Y. Song, L. Zhao, D. Shen, and D. Tang, “Soliton-dark pulse pair formation in birefringent cavity fiber lasers through cross phase coupling,” Opt. Express 23(20), 26252–26258 (2015).
[Crossref] [PubMed]

L. Yun, X. Liu, and D. Han, “Observation of vector- and scalar-pulse in a nanotube-mode-locked fiber laser,” Opt. Express 22(5), 5442–5447 (2014).
[Crossref] [PubMed]

Y. F. Song, H. Zhang, L. M. Zhao, D. Y. Shen, and D. Y. Tang, “Coexistence and interaction of vector and bound vector solitons in a dispersion-managed fiber laser mode locked by graphene,” Opt. Express 24(2), 1814–1822 (2016).
[Crossref] [PubMed]

M. Han, S. Zhang, X. Li, H. Zhang, H. Yang, and T. Yuan, “Polarization dynamic patterns of vector solitons in a graphene mode-locked fiber laser,” Opt. Express 23(3), 2424–2435 (2015).
[Crossref] [PubMed]

Y. F. Song, H. Zhang, D. Y. Tang, and D. Y. Shen, “Polarization rotation vector solitons in a graphene mode-locked fiber laser,” Opt. Express 20(24), 27283–27289 (2012).
[Crossref] [PubMed]

Y. F. Song, L. Li, H. Zhang, D. Y. Shen, D. Y. Tang, and K. P. Loh, “Vector multi-soliton operation and interaction in a graphene mode-locked fiber laser,” Opt. Express 21(8), 10010–10018 (2013).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, H. Zhang, X. Wu, and N. Xiang, “Soliton trapping in fiber lasers,” Opt. Express 16(13), 9528–9533 (2008).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, X. Wu, and H. Y. Tam, “Dissipative vector solitons in a dispersionmanaged cavity fiber laser with net positive cavity dispersion,” Opt. Express 17(2), 455–460 (2009).
[Crossref] [PubMed]

Y. Luo, L. Li, D. Liu, Q. Sun, Z. Wu, Z. Xu, D. Tang, S. Fu, and L. Zhao, “Group velocity locked vector dissipative solitons in a high repetition rate fiber laser,” Opt. Express 24(16), 18718–18726 (2016).
[Crossref] [PubMed]

H. Zhang, D. Y. Tang, L. M. Zhao, and N. Xiang, “Coherent energy exchange between components of a vector soliton in fiber lasers,” Opt. Express 16(17), 12618–12623 (2008).
[Crossref] [PubMed]

S. V. Sergeyev, C. Mou, A. Rozhin, and S. K. Turitsyn, “Vector solitons with locked and precessing states of polarization,” Opt. Express 20(24), 27434–27440 (2012).
[Crossref] [PubMed]

Opt. Lett. (4)

Opt. Mater. Express (1)

Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics (2)

N. Akhmediev and J. M. Soto-Crespo, “Dynamics of solitonlike pulse propagation in birefringent optical fibers,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(6), 5742–5754 (1994).
[Crossref] [PubMed]

Y. Chen and J. Atai, “Polarization instabilities in birefringent fibers: A comparison between continuous waves and solitons,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(3), 3102–3105 (1995).
[Crossref] [PubMed]

Phys. Rev. Lett. (4)

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101(15), 153904 (2008).
[Crossref] [PubMed]

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, and W. H. Knox, “Observation of Polarization-Locked Vector Solitons in an Optical Fiber,” Phys. Rev. Lett. 82(20), 3988–3991 (1999).
[Crossref]

A. K. Mohapatra, T. R. Jackson, and C. S. Adams, “Coherent Optical Detection of Highly Excited Rydberg States using Electromagnetically Induced Transparency,” Phys. Rev. Lett. 98(11), 113003 (2007).
[Crossref] [PubMed]

Y. Barad and Y. Silbernerg, “Polarization Evolution and Polarization Instability of Solitons in a Birefringent Optical Fiber,” Phys. Rev. Lett. 78(17), 3290–3293 (1997).
[Crossref]

Sci. Rep. (1)

V. Tsatourian, S. V. Sergeyev, C. Mou, A. Rozhin, V. Mikhailov, B. Rabin, P. S. Westbrook, and S. K. Turitsyn, “Polarisation dynamics of vector soliton molecules in mode locked fibre laser,” Sci. Rep. 3(3154), 3154 (2013).
[PubMed]

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Figures (8)

Fig. 1
Fig. 1 Schematic of the fiber laser in our simulation. LD:laser diode, WDM:wavelength division multiplexer, OC: output coupler, SA: saturable absorber, EDF: Er-doped fiber, SMF: single mode fiber.
Fig. 2
Fig. 2 Energy evolutions verse rounds of slow mode(black solid) and fast mode(red solid) when the initial seed pulse is linearly polarized 45° to principle axis under different pump strength(Es):(a)10pJ, (b)30pJ, (c)40pJ, (d)50pJ, (e)70pJ, (f)100pJ.
Fig. 3
Fig. 3 Energy evolutions verse rounds of slow mode(black solid) and fast mode(red solid) when the initial seed pulse is linearly polarized near the fast axis under different pump strength(Es):(a)10pJ, (b)30pJ, (c)40pJ, (d)50pJ, (e)70pJ, (f)100pJ.
Fig. 4
Fig. 4 Energy evolutions verse rounds of slow mode(black solid) and fast mode(red solid) when the initial seed pulse is linearly polarized near the slow axis under different pump strength(Es):(a)10pJ, (b)30pJ, (c)40pJ, (d)50pJ, (e)70pJ, (f)100pJ.
Fig. 5
Fig. 5 Vector solitons with different initial and final polarizations when pump strength is 30pJ: (a)final intensity profiles, (b) final spectra of pulses.
Fig. 6
Fig. 6 Vector solitons with differently initial and similarly final polarizations when pump strength is 40pJ: (a)final intensity profiles, (b) final spectra of pulses.
Fig. 7
Fig. 7 Energy evolution of fast mode and phase difference in the laser cavity when the initial polarization is polarized near the slow axis with linear beat length of 7m: (a) energy evolution of the fast mode with pump of 70pJ, (b)phase difference between two modes (red solid) and its linear fit (black solid) with pump of 70pJ, (c)energy evolution of the fast mode with pump of 100pJ, (d)phase difference between two modes (red solid) and its linear fit (black solid) with pump of 100pJ.
Fig. 8
Fig. 8 Spectra of the slow(black solid) and fast(red solid) modes when the initial polarization is near the slow axis under different pump strength: (a)spectrum of the slow mode with pump of 50pJ, (b)spectrum of the fast mode with pump of 50pJ, (c) spectrum of the slow mode with pump of 70pJ, (d) spectrum of the fast mode with pump of 70pJ, (e) spectrum of slow mode with pump of 100pJ, (f) spectrum of fast mode with pump of 100pJ.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

u z = i β u δ u t i β 2 2 2 u t 2 + i γ ( | u | 2 + 2 3 | v | 2 ) u + i γ 3 v 2 u + g 2 u ( 1 + 1 Ω 2 2 t 2 ) v z = i β v + δ v t i β 2 2 2 v t 2 + i γ ( | v | 2 + 2 3 | u | 2 ) v + i γ 3 u 2 v + g 2 v ( 1 + 1 Ω 2 2 t 2 )
g = 5 * exp ( ( | u | 2 + | v | 2 ) d t / E s )
T = 1 0.5 / ( 1 + P / 500 )

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