Abstract

We present radiation mechanism exhibited by a higher order soliton. In a course of its evolution the higher-order soliton emits polychromatic radiation resulting in formation of multipeak frequency comb-like spectral band. The shape and spectral position of this band can be effectively controlled by the relative strength of the third order dispersion. An analytical description is corroborated by numerical simulations. It is shown that for longer pulses the described effect persists also under the action of higher order perturbations such as Raman and self-steepening.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Self-locking of the frequency comb repetition rate in microring resonators with higher order dispersions

D.V. Skryabin and Y.V. Kartashov
Opt. Express 25(22) 27442-27451 (2017)

Dynamics of cascaded resonant radiations in a dispersion-varying optical fiber

A. Bendahmane, F. Braud, M. Conforti, B. Barviau, A. Mussot, and A. Kudlinski
Optica 1(4) 243-249 (2014)

Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell
Opt. Lett. 29(20) 2411-2413 (2004)

References

  • View by:
  • |
  • |
  • |

  1. Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys. 61(4), 763–915 (1989).
    [Crossref]
  2. P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, “Nonlinear pulse propagation in the neighborhood of the zero-dispersion wavelength of monomode optical fibers,” Opt. Lett. 11(7), 464–466 (1986).
    [Crossref] [PubMed]
  3. N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibers,” Phys. Rev. A 51(3), 2602–2607 (1995).
    [Crossref] [PubMed]
  4. D. V. Skryabin and A. V. Gorbach, “Colloquium: looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
    [Crossref]
  5. J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).
    [Crossref]
  6. A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion,” Opt. Lett. 29(20), 2411–2413 (2004).
    [Crossref] [PubMed]
  7. A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
    [Crossref] [PubMed]
  8. R. Driben, F. Mitschke, and N. Zhavoronkov, “Cascaded interactions between Raman induced solitons and dispersive waves in photonic crystal fibers at the advanced stage of supercontinuum generation,” Opt. Express 18(25), 25993–25998 (2010).
    [Crossref] [PubMed]
  9. A. Demircan, Sh. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
    [Crossref] [PubMed]
  10. R. Driben and I. Babushkin, “Accelerated rogue waves generated by soliton fusion at the advanced stage of supercontinuum formation in photonic-crystal fibers,” Opt. Lett. 37(24), 5157–5159 (2012).
    [Crossref] [PubMed]
  11. A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
    [Crossref] [PubMed]
  12. A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21(12), 14474–14481 (2013).
    [Crossref] [PubMed]
  13. R. Driben, A. V. Yulin, A. Efimov, and B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21(16), 19091–19096 (2013).
    [Crossref] [PubMed]
  14. R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: from N-soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).
    [Crossref]
  15. D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
    [Crossref] [PubMed]
  16. F. M. Mitschke and L. F. Mollenauer, “Discovery of the soliton self-frequency shift,” Opt. Lett. 11(10), 659–661 (1986).
    [Crossref] [PubMed]
  17. M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
    [Crossref]
  18. A. C. Judge, O. Bang, and C. M. de Sterke, “Theory of dispersive wave frequency shift via trapping by a soliton in an axially nonuniform optical fiber,” J. Opt. Soc. Am. B 27(11), 2195–2202 (2010).
    [Crossref]
  19. Z. Chen, A. J. Taylor, and A. Efimov, “Coherent mid-infrared broadband continuum generation in non-uniform ZBLAN fiber taper,” Opt. Express 17(7), 5852–5860 (2009).
    [Crossref] [PubMed]
  20. C. Milián, A. Ferrando, and D. V. Skryabin, “Polychromatic Cherenkov radiation and supercontinuum in tapered optical fibers,” J. Opt. Soc. Am. B 29(4), 589–593 (2012).
    [Crossref]
  21. F. R. Arteaga-Sierra, C. Milián, I. Torres-Gómez, M. Torres-Cisneros, A. Ferrando, and A. Dávila, “Multi-peak-spectra generation with Cherenkov radiation in a non-uniform single mode fiber,” Opt. Express 22(3), 2451–2458 (2014).
    [Crossref] [PubMed]
  22. Y. Kodama, M. Romagnoli, S. Wabnitz, and M. Midrio, “Role of third-order dispersion on soliton instabilities and interactions in optical fibers,” Opt. Lett. 19(3), 165–167 (1994).
    [Crossref] [PubMed]
  23. F. Bendahmane, M. Braud, B. Conforti, A. Barviau, Mussot, and A. Kudlinski, “Dynamics of cascaded resonant radiations in a dispersion-varying optical fiber,” Optica 1(4), 243–249 (2014).
    [Crossref]
  24. A. V. Yulin, 24. A. V. Yulin, “Synchrotron radiation of dissipative solitons in optical fiber cavities,”arXiv:1503.06405 (2015).
  25. M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, “Parametric excitation of multiple resonant radiations from localized wavepackets,” Sci. Rep. 5, 9433 (2015).
    [Crossref] [PubMed]
  26. C. Milian, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, 26. C. Milian, A.V. Gorbach, M. Taki, A.V. Yulin, and D.V. Skryabin, “Solitons and frequency combs in silica microring resonators: interplay of the Raman and high-order dispersion effects,” arXiv:1503.00672 (2015).
  27. G. P. Agrawal, 27. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2007).
  28. J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Progr. Theor. Phys. 55, 284–306 (1974).
    [Crossref]
  29. Y. Kodama and A. Hasegawa, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photonics Technol. Lett. QE-23, 510–524 (1987).
  30. B. A. Malomed, “Perturbation-induced perestroika of a nonlinear Schrodinger breather,” Phys. Lett. A 154(9), 441–444 (1991).
    [Crossref]
  31. B. A. Malomed, “Resonant transmission of a chirped soliton in a long optical fiber with periodic amplification,” J. Opt. Soc. Am. B 13(4), 677–686 (1996).
    [Crossref]
  32. N. Akhmediev, A. V. Buryak, and M. Karlsson, “Radiationless optical solitons with oscillating tails,” Opt. Commun. 110(5-6), 540–544 (1994).
    [Crossref]
  33. A. V. Buryak, “Stationary soliton bound states existing in resonance with linear waves,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(1), 1156–1163 (1995).
    [Crossref] [PubMed]

2015 (1)

M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, “Parametric excitation of multiple resonant radiations from localized wavepackets,” Sci. Rep. 5, 9433 (2015).
[Crossref] [PubMed]

2014 (2)

2013 (3)

2012 (3)

2011 (1)

A. Demircan, Sh. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

2010 (4)

D. V. Skryabin and A. V. Gorbach, “Colloquium: looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
[Crossref]

M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
[Crossref]

A. C. Judge, O. Bang, and C. M. de Sterke, “Theory of dispersive wave frequency shift via trapping by a soliton in an axially nonuniform optical fiber,” J. Opt. Soc. Am. B 27(11), 2195–2202 (2010).
[Crossref]

R. Driben, F. Mitschke, and N. Zhavoronkov, “Cascaded interactions between Raman induced solitons and dispersive waves in photonic crystal fibers at the advanced stage of supercontinuum generation,” Opt. Express 18(25), 25993–25998 (2010).
[Crossref] [PubMed]

2009 (1)

2006 (1)

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).
[Crossref]

2005 (1)

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

2004 (1)

2003 (1)

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
[Crossref] [PubMed]

1996 (1)

1995 (2)

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibers,” Phys. Rev. A 51(3), 2602–2607 (1995).
[Crossref] [PubMed]

A. V. Buryak, “Stationary soliton bound states existing in resonance with linear waves,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(1), 1156–1163 (1995).
[Crossref] [PubMed]

1994 (2)

N. Akhmediev, A. V. Buryak, and M. Karlsson, “Radiationless optical solitons with oscillating tails,” Opt. Commun. 110(5-6), 540–544 (1994).
[Crossref]

Y. Kodama, M. Romagnoli, S. Wabnitz, and M. Midrio, “Role of third-order dispersion on soliton instabilities and interactions in optical fibers,” Opt. Lett. 19(3), 165–167 (1994).
[Crossref] [PubMed]

1991 (1)

B. A. Malomed, “Perturbation-induced perestroika of a nonlinear Schrodinger breather,” Phys. Lett. A 154(9), 441–444 (1991).
[Crossref]

1989 (1)

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys. 61(4), 763–915 (1989).
[Crossref]

1987 (1)

Y. Kodama and A. Hasegawa, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photonics Technol. Lett. QE-23, 510–524 (1987).

1986 (2)

1974 (1)

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Progr. Theor. Phys. 55, 284–306 (1974).
[Crossref]

Akhmediev, N.

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibers,” Phys. Rev. A 51(3), 2602–2607 (1995).
[Crossref] [PubMed]

N. Akhmediev, A. V. Buryak, and M. Karlsson, “Radiationless optical solitons with oscillating tails,” Opt. Commun. 110(5-6), 540–544 (1994).
[Crossref]

Amiranashvili, S.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[Crossref] [PubMed]

Amiranashvili, Sh.

A. Demircan, Sh. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

Arteaga-Sierra, F. R.

Babushkin, I.

Bache, M.

M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
[Crossref]

Bang, O.

M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
[Crossref]

A. C. Judge, O. Bang, and C. M. de Sterke, “Theory of dispersive wave frequency shift via trapping by a soliton in an axially nonuniform optical fiber,” J. Opt. Soc. Am. B 27(11), 2195–2202 (2010).
[Crossref]

Barviau, A.

Bendahmane, F.

Braud, M.

Brée, C.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[Crossref] [PubMed]

Buryak, A. V.

A. V. Buryak, “Stationary soliton bound states existing in resonance with linear waves,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(1), 1156–1163 (1995).
[Crossref] [PubMed]

N. Akhmediev, A. V. Buryak, and M. Karlsson, “Radiationless optical solitons with oscillating tails,” Opt. Commun. 110(5-6), 540–544 (1994).
[Crossref]

Chen, H. H.

Chen, Z.

Coen, S.

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).
[Crossref]

Conforti, B.

Conforti, M.

M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, “Parametric excitation of multiple resonant radiations from localized wavepackets,” Sci. Rep. 5, 9433 (2015).
[Crossref] [PubMed]

Dávila, A.

de Sterke, C. M.

Demircan, A.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[Crossref] [PubMed]

A. Demircan, Sh. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

Driben, R.

Dudley, J. M.

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).
[Crossref]

Efimov, A.

Ferrando, A.

Genty, G.

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).
[Crossref]

Gorbach, A. V.

D. V. Skryabin and A. V. Gorbach, “Colloquium: looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
[Crossref]

Hasegawa, A.

Y. Kodama and A. Hasegawa, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photonics Technol. Lett. QE-23, 510–524 (1987).

Joly, N.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

Judge, A. C.

Karlsson, M.

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibers,” Phys. Rev. A 51(3), 2602–2607 (1995).
[Crossref] [PubMed]

N. Akhmediev, A. V. Buryak, and M. Karlsson, “Radiationless optical solitons with oscillating tails,” Opt. Commun. 110(5-6), 540–544 (1994).
[Crossref]

Kivshar, Y. S.

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys. 61(4), 763–915 (1989).
[Crossref]

Knight, J. C.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
[Crossref] [PubMed]

Kodama, Y.

Y. Kodama, M. Romagnoli, S. Wabnitz, and M. Midrio, “Role of third-order dispersion on soliton instabilities and interactions in optical fibers,” Opt. Lett. 19(3), 165–167 (1994).
[Crossref] [PubMed]

Y. Kodama and A. Hasegawa, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photonics Technol. Lett. QE-23, 510–524 (1987).

Kudlinski, A.

M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, “Parametric excitation of multiple resonant radiations from localized wavepackets,” Sci. Rep. 5, 9433 (2015).
[Crossref] [PubMed]

F. Bendahmane, M. Braud, B. Conforti, A. Barviau, Mussot, and A. Kudlinski, “Dynamics of cascaded resonant radiations in a dispersion-varying optical fiber,” Optica 1(4), 243–249 (2014).
[Crossref]

Lee, Y. C.

Luan, F.

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
[Crossref] [PubMed]

Mahnke, C.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[Crossref] [PubMed]

Malomed, B. A.

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: from N-soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).
[Crossref]

A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21(12), 14474–14481 (2013).
[Crossref] [PubMed]

R. Driben, A. V. Yulin, A. Efimov, and B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21(16), 19091–19096 (2013).
[Crossref] [PubMed]

B. A. Malomed, “Resonant transmission of a chirped soliton in a long optical fiber with periodic amplification,” J. Opt. Soc. Am. B 13(4), 677–686 (1996).
[Crossref]

B. A. Malomed, “Perturbation-induced perestroika of a nonlinear Schrodinger breather,” Phys. Lett. A 154(9), 441–444 (1991).
[Crossref]

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys. 61(4), 763–915 (1989).
[Crossref]

Menyuk, C. R.

Midrio, M.

Milián, C.

Mitschke, F.

Mitschke, F. M.

Mollenauer, L. F.

Moses, J.

M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
[Crossref]

Mussot,

Mussot, A.

M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, “Parametric excitation of multiple resonant radiations from localized wavepackets,” Sci. Rep. 5, 9433 (2015).
[Crossref] [PubMed]

Omenetto, F. G.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

Romagnoli, M.

Russell, P.

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

Russell, P. S. J.

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
[Crossref] [PubMed]

Russell, P. St. J.

Satsuma, J.

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Progr. Theor. Phys. 55, 284–306 (1974).
[Crossref]

Skryabin, D. V.

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: from N-soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).
[Crossref]

A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21(12), 14474–14481 (2013).
[Crossref] [PubMed]

C. Milián, A. Ferrando, and D. V. Skryabin, “Polychromatic Cherenkov radiation and supercontinuum in tapered optical fibers,” J. Opt. Soc. Am. B 29(4), 589–593 (2012).
[Crossref]

D. V. Skryabin and A. V. Gorbach, “Colloquium: looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
[Crossref]

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion,” Opt. Lett. 29(20), 2411–2413 (2004).
[Crossref] [PubMed]

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
[Crossref] [PubMed]

Steinmeyer, G.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[Crossref] [PubMed]

A. Demircan, Sh. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

Taylor, A. J.

Z. Chen, A. J. Taylor, and A. Efimov, “Coherent mid-infrared broadband continuum generation in non-uniform ZBLAN fiber taper,” Opt. Express 17(7), 5852–5860 (2009).
[Crossref] [PubMed]

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

Torres-Cisneros, M.

Torres-Gómez, I.

Trillo, S.

M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, “Parametric excitation of multiple resonant radiations from localized wavepackets,” Sci. Rep. 5, 9433 (2015).
[Crossref] [PubMed]

Wabnitz, S.

Wai, P. K. A.

Wise, F. W.

M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
[Crossref]

Yajima, N.

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Progr. Theor. Phys. 55, 284–306 (1974).
[Crossref]

Yulin, A. V.

Zhavoronkov, N.

Zhou, B. B.

M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
[Crossref]

IEEE Photonics Technol. Lett. (1)

Y. Kodama and A. Hasegawa, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photonics Technol. Lett. QE-23, 510–524 (1987).

J. Opt. Soc. Am. B (3)

Opt. Commun. (1)

N. Akhmediev, A. V. Buryak, and M. Karlsson, “Radiationless optical solitons with oscillating tails,” Opt. Commun. 110(5-6), 540–544 (1994).
[Crossref]

Opt. Express (5)

Opt. Lett. (5)

Optica (1)

Phys. Lett. A (1)

B. A. Malomed, “Perturbation-induced perestroika of a nonlinear Schrodinger breather,” Phys. Lett. A 154(9), 441–444 (1991).
[Crossref]

Phys. Rev. A (3)

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibers,” Phys. Rev. A 51(3), 2602–2607 (1995).
[Crossref] [PubMed]

M. Bache, O. Bang, B. B. Zhou, J. Moses, and F. W. Wise, “Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation,” Phys. Rev. A 82(6), 063806 (2010).
[Crossref]

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: from N-soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).
[Crossref]

Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics (1)

A. V. Buryak, “Stationary soliton bound states existing in resonance with linear waves,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(1), 1156–1163 (1995).
[Crossref] [PubMed]

Phys. Rev. Lett. (2)

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95(21), 213902 (2005).
[Crossref] [PubMed]

A. Demircan, Sh. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106(16), 163901 (2011).
[Crossref] [PubMed]

Rev. Mod. Phys. (3)

D. V. Skryabin and A. V. Gorbach, “Colloquium: looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82(2), 1287–1299 (2010).
[Crossref]

J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).
[Crossref]

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys. 61(4), 763–915 (1989).
[Crossref]

Sci. Rep. (2)

M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, “Parametric excitation of multiple resonant radiations from localized wavepackets,” Sci. Rep. 5, 9433 (2015).
[Crossref] [PubMed]

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[Crossref] [PubMed]

Science (1)

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
[Crossref] [PubMed]

Suppl. Progr. Theor. Phys. (1)

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Suppl. Progr. Theor. Phys. 55, 284–306 (1974).
[Crossref]

Other (3)

C. Milian, A. V. Gorbach, M. Taki, A. V. Yulin, and D. V. Skryabin, 26. C. Milian, A.V. Gorbach, M. Taki, A.V. Yulin, and D.V. Skryabin, “Solitons and frequency combs in silica microring resonators: interplay of the Raman and high-order dispersion effects,” arXiv:1503.00672 (2015).

G. P. Agrawal, 27. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2007).

A. V. Yulin, 24. A. V. Yulin, “Synchrotron radiation of dissipative solitons in optical fiber cavities,”arXiv:1503.06405 (2015).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1 Evolution of 2-soliton under the action of weak TOD in (a) temporal and (b) spectral domains. Inset to (a) demonstrates the evolution of | u | 0.25 instead of the intensity | u | 2 shown in main panel for better visibility of low intensity waves. Inset to (b) displays the zoomed-in region of radiation from 1030 to 1080nm.
Fig. 2
Fig. 2 (a) Graphical solution of Eq. (3) for obtaining spectral positions of resonances. The vertical dashed line designates the position of ZDW. (b) Spectrum of radiation (upper panel, blue curve) and zoomed graphical solutions (the intersections of the dispersion blue curve with lines of other colors, lower panel).
Fig. 3
Fig. 3 (a) Spectral position of the central radiation peak (solid blue curve) and (b) separation between the peaks in the radiation band vs. input wavelength. All units are nanometers.
Fig. 4
Fig. 4 Temporal, (a), and spectral (b) evolution of 2-soliton in standard telecom fiber with all higher order terms included. Inset in (b) displays the zoomed region of radiation from 1270 to 1300 nm.

Equations (3)

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

u z = m2 i m+1 β m m! m u τ m +iγ( 1+ i ω 0 τ ) [ u( z,τ ) τ d τ R( τ τ ) | u( z, τ ) | 2 ].
i u z +0.5 u tt + | u | 2 u=i β 3 ¯ u ttt .
β 2 2 δ 2 + β 3 6 δ 3 τ g δ= Pγ 8 + 2πN Z 0 .

Metrics