Abstract

We observe unique dynamics of Raman soliton during supercontinuum process when an input pulse experiences initially normal group-velocity dispersion with a negative dispersion slope. In this situation, the blue components of the spectrum form a Raman soliton that moves faster than the input pulse and eventually decelerates because of Raman-induced frequency downshifting. In the time domain, the soliton trajectory bends and becomes vertical when the Raman shift ceases to occur as the spectrum of Raman soliton approaches the zero dispersion point. Parts of the red components of the pulse spectrum are captured by the Raman soliton through cross-phase modulation and they travel with it. The influence of soliton order, input chirp and dispersion slope on the dynamics of Raman soliton is discussed thoroughly.

© 2011 OSA

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

2010 (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]

S. Roy, D. Ghosh, S. K. Bhadra, and G. P. Agrawal, “Role of dispersion profile in controlling the emission of dispersive waves by solitons in supercontinuum generation,” Opt. Commun. 283(15), 3081–3088 (2010).
[CrossRef]

M. Erkintalo, G. Genty, and J. M. Dudley, “Experimental signatures of dispersive waves emitted during soliton collisions,” Opt. Express 18(13), 13379–13384 (2010).
[CrossRef] [PubMed]

2009 (2)

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Dispersive waves emitted by solitons perturbed by third-order dispersion inside optical fibers,” Phys. Rev. A 79(2), 023824 (2009).
[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Effects of higher-order dispersion on resonant dispersive waves emitted by solitons,” Opt. Lett. 34(13), 2072–2074 (2009).
[CrossRef] [PubMed]

2007 (2)

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and extension of supercontinuum spectra in photonic crystal fibers,” Nat. Photonics 1(11), 653–657 (2007).
[CrossRef]

A. V. Gorbach and D. V. Skryabin, “Theory of radiation trapping by accelerating solitons in optical fibers,” Phys. Rev. A 76(5), 053803 (2007).
[CrossRef]

2006 (5)

2005 (3)

2004 (3)

2003 (3)

P. St. J. Russell, “Photonic crystal fibers,” Science 299(5605), 358–362 (2003).
[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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

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

2002 (3)

2001 (1)

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87(20), 203901 (2001).
[CrossRef] [PubMed]

2000 (1)

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[CrossRef] [PubMed]

1995 (1)

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

1993 (2)

V. I. Karpman, “Radiation by solitons due to higher-order dispersion,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 47(3), 2073–2082 (1993).
[CrossRef] [PubMed]

K. C. Chan and H. F. Liu, “Effects of Raman scattering and frequency chirping on soliton-effect pulse compression,” Opt. Lett. 18(14), 1150–1152 (1993).
[CrossRef] [PubMed]

Agrawal, G. P.

S. Roy, D. Ghosh, S. K. Bhadra, and G. P. Agrawal, “Role of dispersion profile in controlling the emission of dispersive waves by solitons in supercontinuum generation,” Opt. Commun. 283(15), 3081–3088 (2010).
[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Effects of higher-order dispersion on resonant dispersive waves emitted by solitons,” Opt. Lett. 34(13), 2072–2074 (2009).
[CrossRef] [PubMed]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Dispersive waves emitted by solitons perturbed by third-order dispersion inside optical fibers,” Phys. Rev. A 79(2), 023824 (2009).
[CrossRef]

Q. Lin and G. P. Agrawal, “Raman response function for silica fibers,” Opt. Lett. 31(21), 3086–3088 (2006).
[CrossRef] [PubMed]

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]

Ania-Castanon, J. D.

S. Smirnov, J. D. Ania-Castanon, T. J. Ellingham, S. M. Kobtsev, S. Kukarin, and S. K. Turitsyn, “Optical spectral broadening and supercontinuum generation in telecom applications,” Opt. Fiber Technol. 12(2), 122–147 (2006).
[CrossRef]

Bhadra, S. K.

S. Roy, D. Ghosh, S. K. Bhadra, and G. P. Agrawal, “Role of dispersion profile in controlling the emission of dispersive waves by solitons in supercontinuum generation,” Opt. Commun. 283(15), 3081–3088 (2010).
[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Effects of higher-order dispersion on resonant dispersive waves emitted by solitons,” Opt. Lett. 34(13), 2072–2074 (2009).
[CrossRef] [PubMed]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Dispersive waves emitted by solitons perturbed by third-order dispersion inside optical fibers,” Phys. Rev. A 79(2), 023824 (2009).
[CrossRef]

Biancalana, F.

F. Biancalana, D. V. Skryabin, and A. V. Yulin, “Theory of the soliton self-frequency shift compensation by the resonant radiationin photonic crystal fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(1), 016615 (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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Chan, K. C.

Coen, S.

de Sterke, C. M.

Dudley, J.

Dudley, J. M.

Efimov, A.

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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Efimov, E.

N. Joly, F. Omenetto, E. Efimov, A. Taylor, J. C. Knight, and P. St. J. Russell, “Competition between spectral splitting and Raman frequency shift in negative-dispersion slope photonics crystal fiber,” Opt. Commun. 248(1-3), 281–285 (2005).
[CrossRef]

Eggleton, B. J.

Ellingham, T. J.

S. Smirnov, J. D. Ania-Castanon, T. J. Ellingham, S. M. Kobtsev, S. Kukarin, and S. K. Turitsyn, “Optical spectral broadening and supercontinuum generation in telecom applications,” Opt. Fiber Technol. 12(2), 122–147 (2006).
[CrossRef]

Erkintalo, M.

Florous, N.

Genty, G.

Ghosh, D.

S. Roy, D. Ghosh, S. K. Bhadra, and G. P. Agrawal, “Role of dispersion profile in controlling the emission of dispersive waves by solitons in supercontinuum generation,” Opt. Commun. 283(15), 3081–3088 (2010).
[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]

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and extension of supercontinuum spectra in photonic crystal fibers,” Nat. Photonics 1(11), 653–657 (2007).
[CrossRef]

A. V. Gorbach and D. V. Skryabin, “Theory of radiation trapping by accelerating solitons in optical fibers,” Phys. Rev. A 76(5), 053803 (2007).
[CrossRef]

A. V. Gorbach, D. V. Skryabin, J. M. Stone, and J. C. Knight, “Four-wave mixing of solitons with radiation and quasi-nondispersive wave packets at the short-wavelength edge of a supercontinuum,” Opt. Express 14(21), 9854–9863 (2006).
[CrossRef] [PubMed]

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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

Grossard, N.

Gu, X.

Hansch, T. W.

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[CrossRef] [PubMed]

Herrmann, 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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87(20), 203901 (2001).
[CrossRef] [PubMed]

Holzwarth, R.

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[CrossRef] [PubMed]

Husakou, A.

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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

Husakou, A. V.

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87(20), 203901 (2001).
[CrossRef] [PubMed]

Joly, N.

N. Joly, F. Omenetto, E. Efimov, A. Taylor, J. C. Knight, and P. St. J. Russell, “Competition between spectral splitting and Raman frequency shift in negative-dispersion slope photonics crystal fiber,” Opt. Commun. 248(1-3), 281–285 (2005).
[CrossRef]

Kaivola, M.

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]

Karpman, V. I.

V. I. Karpman, “Radiation by solitons due to higher-order dispersion,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 47(3), 2073–2082 (1993).
[CrossRef] [PubMed]

Kimmel, M.

Knight, J. C.

A. V. Gorbach, D. V. Skryabin, J. M. Stone, and J. C. Knight, “Four-wave mixing of solitons with radiation and quasi-nondispersive wave packets at the short-wavelength edge of a supercontinuum,” Opt. Express 14(21), 9854–9863 (2006).
[CrossRef] [PubMed]

N. Joly, F. Omenetto, E. Efimov, A. Taylor, J. C. Knight, and P. St. J. Russell, “Competition between spectral splitting and Raman frequency shift in negative-dispersion slope photonics crystal fiber,” Opt. Commun. 248(1-3), 281–285 (2005).
[CrossRef]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science 301(5640), 1705–1708 (2003).
[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,” Nature 424(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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[CrossRef] [PubMed]

Kobtsev, S. M.

S. Smirnov, J. D. Ania-Castanon, T. J. Ellingham, S. M. Kobtsev, S. Kukarin, and S. K. Turitsyn, “Optical spectral broadening and supercontinuum generation in telecom applications,” Opt. Fiber Technol. 12(2), 122–147 (2006).
[CrossRef]

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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

Koshiba, M.

Kukarin, S.

S. Smirnov, J. D. Ania-Castanon, T. J. Ellingham, S. M. Kobtsev, S. Kukarin, and S. K. Turitsyn, “Optical spectral broadening and supercontinuum generation in telecom applications,” Opt. Fiber Technol. 12(2), 122–147 (2006).
[CrossRef]

Lehtonen, M.

Lin, Q.

Liu, H. F.

Luan, F.

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

Ludvigsen, H.

Maillotte, H.

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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

O’Shea, P.

Omenetto, F.

N. Joly, F. Omenetto, E. Efimov, A. Taylor, J. C. Knight, and P. St. J. Russell, “Competition between spectral splitting and Raman frequency shift in negative-dispersion slope photonics crystal fiber,” Opt. Commun. 248(1-3), 281–285 (2005).
[CrossRef]

Omenetto, F. G.

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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Provino, L.

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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Roy, S.

S. Roy, D. Ghosh, S. K. Bhadra, and G. P. Agrawal, “Role of dispersion profile in controlling the emission of dispersive waves by solitons in supercontinuum generation,” Opt. Commun. 283(15), 3081–3088 (2010).
[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Effects of higher-order dispersion on resonant dispersive waves emitted by solitons,” Opt. Lett. 34(13), 2072–2074 (2009).
[CrossRef] [PubMed]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Dispersive waves emitted by solitons perturbed by third-order dispersion inside optical fibers,” Phys. Rev. A 79(2), 023824 (2009).
[CrossRef]

Russell, P. St. J.

N. Joly, F. Omenetto, E. Efimov, A. Taylor, J. C. Knight, and P. St. J. Russell, “Competition between spectral splitting and Raman frequency shift in negative-dispersion slope photonics crystal fiber,” Opt. Commun. 248(1-3), 281–285 (2005).
[CrossRef]

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

P. St. J. Russell, “Photonic crystal fibers,” Science 299(5605), 358–362 (2003).
[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,” Nature 424(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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[CrossRef] [PubMed]

Saitoh, K.

Skryabin, D. 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]

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and extension of supercontinuum spectra in photonic crystal fibers,” Nat. Photonics 1(11), 653–657 (2007).
[CrossRef]

A. V. Gorbach and D. V. Skryabin, “Theory of radiation trapping by accelerating solitons in optical fibers,” Phys. Rev. A 76(5), 053803 (2007).
[CrossRef]

A. V. Gorbach, D. V. Skryabin, J. M. Stone, and J. C. Knight, “Four-wave mixing of solitons with radiation and quasi-nondispersive wave packets at the short-wavelength edge of a supercontinuum,” Opt. Express 14(21), 9854–9863 (2006).
[CrossRef] [PubMed]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, “Theory of the soliton self-frequency shift compensation by the resonant radiationin photonic crystal fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(1), 016615 (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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

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

Smirnov, S.

S. Smirnov, J. D. Ania-Castanon, T. J. Ellingham, S. M. Kobtsev, S. Kukarin, and S. K. Turitsyn, “Optical spectral broadening and supercontinuum generation in telecom applications,” Opt. Fiber Technol. 12(2), 122–147 (2006).
[CrossRef]

Stone, J. M.

Taylor, A.

N. Joly, F. Omenetto, E. Efimov, A. Taylor, J. C. Knight, and P. St. J. Russell, “Competition between spectral splitting and Raman frequency shift in negative-dispersion slope photonics crystal fiber,” Opt. Commun. 248(1-3), 281–285 (2005).
[CrossRef]

Taylor, A. J.

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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Trebino, R.

Tsoy, E. N.

Turitsyn, S. K.

S. Smirnov, J. D. Ania-Castanon, T. J. Ellingham, S. M. Kobtsev, S. Kukarin, and S. K. Turitsyn, “Optical spectral broadening and supercontinuum generation in telecom applications,” Opt. Fiber Technol. 12(2), 122–147 (2006).
[CrossRef]

Udem, T.

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[CrossRef] [PubMed]

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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[CrossRef] [PubMed]

Windeler, R.

Windeler, R. S.

Xu, L.

Yulin, A. V.

F. Biancalana, D. V. Skryabin, and A. V. Yulin, “Theory of the soliton self-frequency shift compensation by the resonant radiationin photonic crystal fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(1), 016615 (2004).
[CrossRef] [PubMed]

Zeek, E.

Zhavoronkov, N.

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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

J. Opt. Soc. Am. B (2)

Nat. Photonics (1)

A. V. Gorbach and D. V. Skryabin, “Light trapping in gravity-like potentials and extension of supercontinuum spectra in photonic crystal fibers,” Nat. Photonics 1(11), 653–657 (2007).
[CrossRef]

Nature (1)

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,” Nature 424(6948), 511–515 (2003).
[CrossRef] [PubMed]

Opt. Commun. (2)

N. Joly, F. Omenetto, E. Efimov, A. Taylor, J. C. Knight, and P. St. J. Russell, “Competition between spectral splitting and Raman frequency shift in negative-dispersion slope photonics crystal fiber,” Opt. Commun. 248(1-3), 281–285 (2005).
[CrossRef]

S. Roy, D. Ghosh, S. K. Bhadra, and G. P. Agrawal, “Role of dispersion profile in controlling the emission of dispersive waves by solitons in supercontinuum generation,” Opt. Commun. 283(15), 3081–3088 (2010).
[CrossRef]

Opt. Express (6)

Opt. Fiber Technol. (1)

S. Smirnov, J. D. Ania-Castanon, T. J. Ellingham, S. M. Kobtsev, S. Kukarin, and S. K. Turitsyn, “Optical spectral broadening and supercontinuum generation in telecom applications,” Opt. Fiber Technol. 12(2), 122–147 (2006).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. A (3)

A. V. Gorbach and D. V. Skryabin, “Theory of radiation trapping by accelerating solitons in optical fibers,” Phys. Rev. A 76(5), 053803 (2007).
[CrossRef]

S. Roy, S. K. Bhadra, and G. P. Agrawal, “Dispersive waves emitted by solitons perturbed by third-order dispersion inside optical fibers,” Phys. Rev. A 79(2), 023824 (2009).
[CrossRef]

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

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

F. Biancalana, D. V. Skryabin, and A. V. Yulin, “Theory of the soliton self-frequency shift compensation by the resonant radiationin photonic crystal fibers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(1), 016615 (2004).
[CrossRef] [PubMed]

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

V. I. Karpman, “Radiation by solitons due to higher-order dispersion,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 47(3), 2073–2082 (1993).
[CrossRef] [PubMed]

Phys. Rev. Lett. (3)

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87(20), 203901 (2001).
[CrossRef] [PubMed]

R. Holzwarth, T. Udem, T. W. Hansch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85(11), 2264–2267 (2000).
[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 of supercontinuum generation by fission of higher order solitons in photonics crystal fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).
[CrossRef] [PubMed]

Rev. Mod. Phys. (2)

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

Science (2)

P. St. J. Russell, “Photonic crystal fibers,” Science 299(5605), 358–362 (2003).
[CrossRef] [PubMed]

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

Other (2)

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

J. M. Dudley and J. R. Taylor, Supercontinuum Generation in Optical Fibers (Cambridge University Press, 2010).

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Figures (12)

Fig. 1
Fig. 1

(a) Temporal and (b) spectral evolution of an optical pulse launched in the normal dispersion (δ2 = 0.5) domain close to the ZD wavelength with N = 8 and δ3 = –0.05. The vertical dotted line indicates the ZD point.

Fig. 2
Fig. 2

Temporal evolution for four different values of N ranging from 6 to 10. Other parameters are identical to those used in Fig. 1.

Fig. 3
Fig. 3

Spectrograms of the pulse at four different lengths for parameter values identical to those used in Fig. 1. The dotted curves represent the time delay (δ1 ξ).

Fig. 4
Fig. 4

(a) Spectrogram at a distance ξ = 2 for N = 10 and δ3 = –0.05. The dotted curve represents the delay. (b) Temporal evolution for N = 15 and δ3 = –0.05.

Fig. 5
Fig. 5

(a) Temporal and (b) spectral evolution under conditions identical to those of Fig. 1 except that the sign of TOD is reversed (δ3 = 0.05).

Fig. 6
Fig. 6

Temporal evolution for four different values of N ranging from 6 to 10. Other parameters are identical to those used in Fig. 5.

Fig. 7
Fig. 7

Spectrograms of the pulse at four different lengths for parameter values identical to those used in Fig. 5. The dotted curves represent the delay.

Fig. 8
Fig. 8

Spectrogram at a distance ξ = 2 for N = 10 and δ3 = 0.05.The dotted curve represents the delay.

Fig. 9
Fig. 9

Temporal (left column) and spectral (right column) evolution under conditions identical to those used in Fig. 1 except that the chirp parameter takes values from –1 to 1 . The blue dotted lines show δ2 as function of normalized frequency.

Fig. 10
Fig. 10

(a) Temporal (two left columns) and (b) spectral (two right columns) evolution under conditions identical to those used in Fig. 1 except that the TOD parameter takes four different values ranging from –0.03 to –0.09. The blue dotted lines show δ2 as function of normalized frequency.

Fig. 11
Fig. 11

(a) Temporal and (b) spectral evolution of an optical pulse launched in the normal dispersion (δ2 = 0.5) domain close to the ZD wavelength with N = 4. The TOD parameter is positive (δ3 = 0.05) for two left panes and negative (δ3 = –0.05) for two right panes. Blue dotted lines show δ2 as a function of frequency.

Fig. 12
Fig. 12

(a) Spectrogram at a distance ξ = 2. for positive δ3 and N = 6. (b) Spectrogram at a distance ξ = 4 under conditions of Fig. 11(b). The white dotted lines represent the delay.

Equations (6)

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U ξ + m = 2 i m 1 δ m m U τ m = i N 2 ( 1 + i s τ )       ( U ( ξ , τ ) τ R ( τ τ ' ) | U ( ξ , τ ' ) | 2 d τ ' )
ξ = z L D ,     τ = t z / v g T 0     ,     N = γ P 0 L D     ,     δ m = β m m ! T 0 m 2 | β 2 | .
R ( τ ) = ( 1 f R ) δ ( τ ) + f R h R ( τ ) ,
h R ( τ ) = ( f a + f c ) h a ( τ ) + f b h b ( τ ) ,
h a ( τ ) = τ 1 2 + τ 2 2 τ 1 τ 2 2 exp ( τ τ 2 ) sin ( τ τ 1 ) , h b ( τ ) = ( 2 τ b τ τ b 2 ) exp ( τ τ b ) ,
δ 1 ( x ) = m = 1 ( m + 1 )     ! m     ! δ m + 1 x m

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