Abstract

We demonstrate that the fission of higher-order N-solitons with a subsequent ejection of fundamental quasi-solitons creates cavities formed by a pair of solitary waves with dispersive light trapped between them. As a result of multiple reflections of the trapped light from the bounding solitons which act as mirrors, they bend their trajectories and collide. In the spectral domain, the two solitons receive blue and red wavelength shifts, and the spectrum of the trapped light alters as well. This phenomenon strongly affects spectral characteristics of the generated supercontinuum. Consideration of the system's parameters which affect the creation of the cavity reveals possibilities of predicting and controlling soliton-soliton collisions induced by multiple reflections of the trapped light.

© 2013 OSA

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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2013

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton's cradles in optics: From to N-soliton fission to soliton chains,” Phys. Rev. A87(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. Express21(12), 14481–14486 (2013).
[CrossRef] [PubMed]

2012

R. Driben and I. V. 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]

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci Rep2, 850 (2012).
[CrossRef] [PubMed]

D. Faccio, T. Arane, M. Lamperti, and U. Leonhardt, “Optical black hole lasers,” Class. Quantum Gravity29(22), 224009 (2012).
[CrossRef]

2011

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]

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St. J. Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers,” J. Opt. Soc. Am. B28, A11–A26 (2011).
[CrossRef]

2010

2009

2007

A. Podlipensky, P. Szarniak, N. Y. Joly, C. G. Poulton, and P. St. J. Russell, “Bound soliton pairs in photonic crystal fiber,” Opt. Express15(4), 1653–1662 (2007).
[CrossRef] [PubMed]

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and expansion of supercontinuum spectra in photonic-crystal fibres,” Nat. Photonics1(11), 653–657 (2007).
[CrossRef]

2006

2005

D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(1), 016619 (2005).
[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]

2004

2003

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

2002

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

2001

R. Driben and B. A. Malomed, “Suppression of crosstalk between solitons in a multi-channel split-step system,” Opt. Commun.197, 481–489 (2001).

2000

1998

B. A. Malomed, “Potential of interaction between two- and three-dimensional solitons,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics58(6), 7928–7933 (1998).
[CrossRef]

1994

1991

B. A. Malomed, “Bound solitons in the nonlinear Schrödinger-Ginzburg-Landau equation,” Phys. Rev. A44(10), 6954–6957 (1991).
[CrossRef] [PubMed]

1987

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

1986

1974

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]

Amiranashvili, S.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci Rep2, 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]

Arane, T.

D. Faccio, T. Arane, M. Lamperti, and U. Leonhardt, “Optical black hole lasers,” Class. Quantum Gravity29(22), 224009 (2012).
[CrossRef]

Babushkin, I. V.

Bang, O.

Biancalana, F.

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[CrossRef] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Bjarklev, A.

Brée, C.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci Rep2, 850 (2012).
[CrossRef] [PubMed]

Chang, W.

Coen, S.

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

Demircan, A.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci Rep2, 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. Gentry, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys.78(4), 1135–1184 (2006).
[CrossRef]

Efimov, A.

A. Efimov, A. J. Taylor, A. V. Yulin, D. V. Skryabin, and J. C. Knight, “Phase-sensitive scattering of a continuous wave on a soliton,” Opt. Lett.31(11), 1624–1626 (2006).
[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]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[CrossRef] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Faccio, D.

D. Faccio, T. Arane, M. Lamperti, and U. Leonhardt, “Optical black hole lasers,” Class. Quantum Gravity29(22), 224009 (2012).
[CrossRef]

Frosz, M. H.

Gentry, G.

J. M. Dudley, G. Gentry, 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, “Looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys.82(2), 1287–1299 (2010).
[CrossRef]

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and expansion of supercontinuum spectra in photonic-crystal fibres,” Nat. Photonics1(11), 653–657 (2007).
[CrossRef]

Griebner, U.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

Hasegawa, A.

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

Herrmann, J.

R. Driben, A. Husakou, and J. Herrmann, “Supercontinuum generation in aqueous colloids containing silver nanoparticles,” Opt. Lett.34(14), 2132–2134 (2009).
[CrossRef] [PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

Huang, W.-P.

Husakou, A.

R. Driben, A. Husakou, and J. Herrmann, “Supercontinuum generation in aqueous colloids containing silver nanoparticles,” Opt. Lett.34(14), 2132–2134 (2009).
[CrossRef] [PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

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]

Joly, N. Y.

Knight, J. C.

A. Efimov, A. J. Taylor, A. V. Yulin, D. V. Skryabin, and J. C. Knight, “Phase-sensitive scattering of a continuous wave on a soliton,” Opt. Lett.31(11), 1624–1626 (2006).
[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]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[CrossRef] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

Kodama, Y.

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

Korn, G.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

Lamperti, M.

D. Faccio, T. Arane, M. Lamperti, and U. Leonhardt, “Optical black hole lasers,” Class. Quantum Gravity29(22), 224009 (2012).
[CrossRef]

Leonhardt, U.

D. Faccio, T. Arane, M. Lamperti, and U. Leonhardt, “Optical black hole lasers,” Class. Quantum Gravity29(22), 224009 (2012).
[CrossRef]

Mahnke, C.

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci Rep2, 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 to N-soliton fission to soliton chains,” Phys. Rev. A87(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. Express21(12), 14481–14486 (2013).
[CrossRef] [PubMed]

R. Driben and B. A. Malomed, “Suppression of crosstalk between solitons in a multi-channel split-step system,” Opt. Commun.197, 481–489 (2001).

B. A. Malomed, “Potential of interaction between two- and three-dimensional solitons,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics58(6), 7928–7933 (1998).
[CrossRef]

B. A. Malomed, “Bound solitons in the nonlinear Schrödinger-Ginzburg-Landau equation,” Phys. Rev. A44(10), 6954–6957 (1991).
[CrossRef] [PubMed]

Mitschke, F.

Mitschke, F. M.

Mollenauer, L. F.

Nickel, D.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

Nold, J.

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]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[CrossRef] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Podlipensky, A.

Poulton, C. G.

Ranka, J. K.

Reeves, W. H.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

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. St. J.

J. C. Travers, W. Chang, J. Nold, N. Y. Joly, and P. St. J. Russell, “Ultrafast nonlinear optics in gas-filled hollow-core photonic crystal fibers,” J. Opt. Soc. Am. B28, A11–A26 (2011).
[CrossRef]

A. Podlipensky, P. Szarniak, N. Y. Joly, C. G. Poulton, and P. St. J. Russell, “Bound soliton pairs in photonic crystal fiber,” Opt. Express15(4), 1653–1662 (2007).
[CrossRef] [PubMed]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[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]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

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 to N-soliton fission to soliton chains,” Phys. Rev. A87(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. Express21(12), 14481–14486 (2013).
[CrossRef] [PubMed]

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

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and expansion of supercontinuum spectra in photonic-crystal fibres,” Nat. Photonics1(11), 653–657 (2007).
[CrossRef]

A. Efimov, A. J. Taylor, A. V. Yulin, D. V. Skryabin, and J. C. Knight, “Phase-sensitive scattering of a continuous wave on a soliton,” Opt. Lett.31(11), 1624–1626 (2006).
[CrossRef] [PubMed]

D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(1), 016619 (2005).
[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]

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]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[CrossRef] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (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 Rep2, 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]

Stentz, A. J.

Szarniak, P.

Taylor, A. J.

A. Efimov, A. J. Taylor, A. V. Yulin, D. V. Skryabin, and J. C. Knight, “Phase-sensitive scattering of a continuous wave on a soliton,” Opt. Lett.31(11), 1624–1626 (2006).
[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]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[CrossRef] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Travers, J. C.

Wadsworth, W. J.

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[CrossRef] [PubMed]

Windeler, R. S.

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.

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton's cradles in optics: From to N-soliton fission to soliton chains,” Phys. Rev. A87(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. Express21(12), 14481–14486 (2013).
[CrossRef] [PubMed]

A. Efimov, A. J. Taylor, A. V. Yulin, D. V. Skryabin, and J. C. Knight, “Phase-sensitive scattering of a continuous wave on a soliton,” Opt. Lett.31(11), 1624–1626 (2006).
[CrossRef] [PubMed]

D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(1), 016619 (2005).
[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]

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]

A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12(26), 6498–6507 (2004).
[CrossRef] [PubMed]

Zhavoronkov, N.

Class. Quantum Gravity

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J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Nat. Photonics

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and expansion of supercontinuum spectra in photonic-crystal fibres,” Nat. Photonics1(11), 653–657 (2007).
[CrossRef]

Nature

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Opt. Commun.

R. Driben and B. A. Malomed, “Suppression of crosstalk between solitons in a multi-channel split-step system,” Opt. Commun.197, 481–489 (2001).

Opt. Express

Opt. Lett.

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B. A. Malomed, “Bound solitons in the nonlinear Schrödinger-Ginzburg-Landau equation,” Phys. Rev. A44(10), 6954–6957 (1991).
[CrossRef] [PubMed]

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton's cradles in optics: From to N-soliton fission to soliton chains,” Phys. Rev. A87(6), 063808 (2013).
[CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(1), 016619 (2005).
[CrossRef] [PubMed]

Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics

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[CrossRef]

Phys. Rev. Lett.

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]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett.88(17), 173901 (2002).
[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.

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

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

Sci Rep

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci Rep2, 850 (2012).
[CrossRef] [PubMed]

Suppl. Progr. Theor. Phys.

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]

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Figures (4)

Fig. 1
Fig. 1

The solitonic cavity produced by the fission of a 12- soliton with TFWHM = 90 fs and peak power of 8MW, in the PCF filled with a Raman-inactive gas, in temporal- (a) and spectral-domain (b) representations. Dashed blue lines in (a) designate trajectories of the cavity-building solitons produced by artificially filtering out all the radiation trapped between them. Dashed black and solid magenta lines in (b) designate the evolution of spectral maxima of the two solitons, starting from Z = 0.16m. The spectral region of multiple bouncing of dispersive waves is highlighted by a dashed rectangle.

Fig. 2
Fig. 2

Dynamics of the cavity filtered out at Z = 0.16m, so that only the two solitons and the dispersive waves trapped between them are kept in the system, in the temporal (a) and spectral (b) domains. Four horizontal lines designate reflections of the trapped light from the solitons.

Fig. 3
Fig. 3

(a-c) N-soliton fission in the PCF filled with a Raman-inactive gas. (a) Fission of the 11-soliton with TFWHM = 90 fs and β3 = 5.24∙10−6 ps3/m; (b) fission of the 14-soliton with TFWHM = 90 fs and β3 = 3.5∙10−6 ps3/m; (c) fission of the 15-soliton with TFWHM = 90 fs and β3 = 2.1∙10−6 ps3/m. (d) The smallest order N of the input soliton necessary to build the cavity versus the relative TOD strength,-δ3.

Fig. 4
Fig. 4

(a) The fission of the 18- soliton with TFWHM = 90 fs and β3 = 5.235∙10−6 ps3/m, in the regular silica PCF with the standard Raman term added to Eq. (1). (b) The temporal and (c) spectral SC evolution resulting from the fission of a 50-soliton with TFWHM = 90 fs in the regular silica PCF, with the Raman term and dispersions of up to the seventh order included in Eq. (1). The spectral region of two consecutive reflections of the trapped light from the two first solitons is highlighted by the black rectangle.

Equations (1)

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A z = i β 2 2 2 A T 2 + β 3 6 3 A T 3 +iγ[ A|A | 2 + i ω 0 T ( A|A | 2 ) ],

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