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Soliton trapping of dispersive waves during supercontinuum generation in photonic crystal fiber

Wang Wei-Bin Yang Hua Tang Ping-Hua Han Fang

Soliton trapping of dispersive waves during supercontinuum generation in photonic crystal fiber

Wang Wei-Bin, Yang Hua, Tang Ping-Hua, Han Fang
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  • Using the generalized nonlinear Schrödinger equation, we present a numerical study of trapping of dispersive waves by solitons during femtosecond pumped supercontinuum generation in photonic crystal fiber with single or double zero dispersive wavelength. Numerical simulation results show that the generated supercontinuum in photonic crystal fiber with two zero dispersive wavelengths includes both blue-shifted dispersive wave (B-DW) and red-shifted dispersive wave (R-DW) while the generated supercontinuum in photonic crystal fiber with single zero dispersive wavelength has only blue-shifted dispersive wave. We find a novel phenomenon that not only B-DW but also R-DW can be trapped by solitions via four-wave mixing when the group-velocity matching between the soliton and the dispersive wave is satisfied, thus leading to the generation of new spectral components. In order to clearly display the evolution of soliton trapping of dispersive waves, the spectrogram of output pulses is observed using cross-correlation frequency-resolved optical gating technique.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61275137), and the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-12-0166).
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    Liu W H, Song X Z, Wang Y S, Liu H J, Zhao W, Liu X M, Peng Q J, Xu Z Y 2008 Acta Phys. Sin. 57 917 (in Chinese) [刘卫华, 宋啸中, 王屹山, 刘红军, 赵卫, 刘雪明, 彭钦军, 许祖彦 2008 物理学报 57 917]

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    Nishizawa N, Goto T 2002 Opt. Lett. 27 152

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    Nishizawa N, Goto T 2003 Opt. Express. 11 359

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    Genty G, Lehtonen M, Ludvigsen H 2004 Opt. Express 12 4614

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    Skryabin D V, Yulin A V 2005 Phys. Rev. E 72 016619

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    Gorbach A V, Skryabin D V 2007 Nat. Photon. 1 653

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    Gorbach A V, Skryabin D V 2007 Opt. Express 15 14560

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    Gorbach A V, Skryabin D V 2007 Phys. Rev. A 76 053803

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    Travers J C, Taylor J R 2009 Opt. Lett. 34 115

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    Kudlinski A, Bouwmans G, Douay M, Taki M, Mussot A 2009 J. Lightwave Technol. 27 1556

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    Judge A C, Bang O, Sterke C 2010 J. Opt. Soc. Am. B 27 2195

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    Skryabin D V, Gorbach A V 2010 Rev. Mod. Phys. 82 1287

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    Driben R, Mitschke F, Zhavoronkov N 2010 Opt. Express 18 25993

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    Travers J C 2010 J. Opt. 12 113001

    [22]

    Tartara L, Cristiani I, Degiorgio V 2003 Appl. Phys. B 77 307

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    Austin D R, Sterke C, Eggleton B, Brown T G 2006 Opt. Express 14 11997

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    Travers J C, Rulkov A B, Cumberland B A, Popov S V, Taylor J R 2008 Opt. Express 16 14435

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    Travers J C 2009 Opt. Express 17 1502

    [26]

    Liu C, Rees E J, Laurila T, Jian S, Kaminski C F 2012 Opt. Express 20 6315

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    Li J F, Zhou G Y, Hou L T 2012 Acta Phys. Sin. 61 124203 (in Chinese) [李建锋, 周桂耀, 侯蓝田 2012 物理学报 61 124203]

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    Fang L, Zhao J L, Gan X T, Li P, Zhang X J 2010 Acta Photon. Sin. 39 1921 (in Chinese) [方亮, 赵建林, 甘雪涛, 李鹏, 赵晓娟 2010 光子学报 39 1921]

    [29]

    Zhao X T, Zheng Y, Han Y, Zhou G Y, Hou Z Y, Shen J P, Wang C, Hou L T 2013 Acta Phys. Sin. 62 064215 (in Chinese) [赵兴涛, 郑义, 韩颖, 周桂耀, 侯峙云, 沈建平, 王春, 侯蓝田 2013 物理学报 62 064215]

    [30]

    Hilligsoe K M, Andersen T V, Paulsen H N, Nielsen C K, Molmer K, Keiding S, Kristiansen R, Hansen K P, Larsen J J 2004 Opt. Express 12 1045

    [31]

    Frosz M H, Falk P, Bang O 2005 Opt. Express 13 6181

    [32]

    Genty G, Lehtonen M, Ludvigsen H, Kaivola M 2004 Opt. Express 12 3471

    [33]

    Mussot A, Beaugeois M, Bouazaoui M, Sylvestre T 2007 Opt. Express 15 11553

    [34]

    Skryabin D V, Luan F, Knight J C, Russell P St J 2003 Science 301 1705

    [35]

    Biancalana F, Skryabin D V, Yulin A V 2004 Phys. Rev. E 70 016615

    [36]

    Andersen T V, Hilligsoe K M, Nielsen C K, Thogersen J, Hansen K P, Keiding S R, Larsen J J 2004 Opt. Express 12 4113

    [37]

    Falk P, Frosz M, Bang O 2005 Opt. Express 13 7535

    [38]

    Wang W B, Yang H, Tang P H, Zhao C J, Gao J 2013 Opt. Express 21 11215

    [39]

    Sinkin O V, Holzlöhner R, Zweck J, Menyuk C R 2003 J. Lightwave Technol. 21 61

    [40]

    Liu X M, Lee B 2003 IEEE Photon. Technol. Lett. 15 1549

    [41]

    Lu H, Liu X M, Gong Y K, Hu X H, Li X H 2010 J. Opt. Soc. Am. B 27 904

    [42]

    Dudley J, Gu X, Xu L, Kimmel M, Zeek E, O’Shea P, Trebino R, Coen S, Windeler R 2002 Opt. Express 10 1215

    [43]

    Liu X M, Zhou X Q, Lu C 2005 Phys. Rev. A 72 013811

    [44]

    Liu X M 2008 Phys. Rev. A 77 043818

  • [1]

    Russell P J 2003 Science 299 358

    [2]

    Knight J C 2003 Nature 424 847

    [3]

    Dudley J M, Genty G, Coen S 2006 Rev. Mod. Phys. 78 1135

    [4]

    Husakou A V, Herrmann J 2001 Phys. Rev. Lett. 87 203901

    [5]

    Cheng C F, Wang X F, Lu B 2004 Acta Phys. Sin. 53 1826 (in Chinese) [成纯福, 王晓方, 鲁波 2004 物理学报 53 1826]

    [6]

    Chang G Q, Chen L J, Kärtne F X 2010 Opt. Lett. 35 2361

    [7]

    Liu W H, Song X Z, Wang Y S, Liu H J, Zhao W, Liu X M, Peng Q J, Xu Z Y 2008 Acta Phys. Sin. 57 917 (in Chinese) [刘卫华, 宋啸中, 王屹山, 刘红军, 赵卫, 刘雪明, 彭钦军, 许祖彦 2008 物理学报 57 917]

    [8]

    Nishizawa N, Goto T 2002 Opt. Lett. 27 152

    [9]

    Nishizawa N, Goto T 2003 Opt. Express. 11 359

    [10]

    Genty G, Lehtonen M, Ludvigsen H 2004 Opt. Express 12 4614

    [11]

    Skryabin D V, Yulin A V 2005 Phys. Rev. E 72 016619

    [12]

    Gorbach A V, Skryabin D V 2007 Nat. Photon. 1 653

    [13]

    Gorbach A V, Skryabin D V 2007 Opt. Express 15 14560

    [14]

    Gorbach A V, Skryabin D V 2007 Phys. Rev. A 76 053803

    [15]

    Travers J C, Taylor J R 2009 Opt. Lett. 34 115

    [16]

    Kudlinski A, Bouwmans G, Douay M, Taki M, Mussot A 2009 J. Lightwave Technol. 27 1556

    [17]

    Hill S, Kuklewicz C E, Leonhardt U, König F 2009 Opt. Express 17 13588

    [18]

    Judge A C, Bang O, Sterke C 2010 J. Opt. Soc. Am. B 27 2195

    [19]

    Skryabin D V, Gorbach A V 2010 Rev. Mod. Phys. 82 1287

    [20]

    Driben R, Mitschke F, Zhavoronkov N 2010 Opt. Express 18 25993

    [21]

    Travers J C 2010 J. Opt. 12 113001

    [22]

    Tartara L, Cristiani I, Degiorgio V 2003 Appl. Phys. B 77 307

    [23]

    Austin D R, Sterke C, Eggleton B, Brown T G 2006 Opt. Express 14 11997

    [24]

    Travers J C, Rulkov A B, Cumberland B A, Popov S V, Taylor J R 2008 Opt. Express 16 14435

    [25]

    Travers J C 2009 Opt. Express 17 1502

    [26]

    Liu C, Rees E J, Laurila T, Jian S, Kaminski C F 2012 Opt. Express 20 6315

    [27]

    Li J F, Zhou G Y, Hou L T 2012 Acta Phys. Sin. 61 124203 (in Chinese) [李建锋, 周桂耀, 侯蓝田 2012 物理学报 61 124203]

    [28]

    Fang L, Zhao J L, Gan X T, Li P, Zhang X J 2010 Acta Photon. Sin. 39 1921 (in Chinese) [方亮, 赵建林, 甘雪涛, 李鹏, 赵晓娟 2010 光子学报 39 1921]

    [29]

    Zhao X T, Zheng Y, Han Y, Zhou G Y, Hou Z Y, Shen J P, Wang C, Hou L T 2013 Acta Phys. Sin. 62 064215 (in Chinese) [赵兴涛, 郑义, 韩颖, 周桂耀, 侯峙云, 沈建平, 王春, 侯蓝田 2013 物理学报 62 064215]

    [30]

    Hilligsoe K M, Andersen T V, Paulsen H N, Nielsen C K, Molmer K, Keiding S, Kristiansen R, Hansen K P, Larsen J J 2004 Opt. Express 12 1045

    [31]

    Frosz M H, Falk P, Bang O 2005 Opt. Express 13 6181

    [32]

    Genty G, Lehtonen M, Ludvigsen H, Kaivola M 2004 Opt. Express 12 3471

    [33]

    Mussot A, Beaugeois M, Bouazaoui M, Sylvestre T 2007 Opt. Express 15 11553

    [34]

    Skryabin D V, Luan F, Knight J C, Russell P St J 2003 Science 301 1705

    [35]

    Biancalana F, Skryabin D V, Yulin A V 2004 Phys. Rev. E 70 016615

    [36]

    Andersen T V, Hilligsoe K M, Nielsen C K, Thogersen J, Hansen K P, Keiding S R, Larsen J J 2004 Opt. Express 12 4113

    [37]

    Falk P, Frosz M, Bang O 2005 Opt. Express 13 7535

    [38]

    Wang W B, Yang H, Tang P H, Zhao C J, Gao J 2013 Opt. Express 21 11215

    [39]

    Sinkin O V, Holzlöhner R, Zweck J, Menyuk C R 2003 J. Lightwave Technol. 21 61

    [40]

    Liu X M, Lee B 2003 IEEE Photon. Technol. Lett. 15 1549

    [41]

    Lu H, Liu X M, Gong Y K, Hu X H, Li X H 2010 J. Opt. Soc. Am. B 27 904

    [42]

    Dudley J, Gu X, Xu L, Kimmel M, Zeek E, O’Shea P, Trebino R, Coen S, Windeler R 2002 Opt. Express 10 1215

    [43]

    Liu X M, Zhou X Q, Lu C 2005 Phys. Rev. A 72 013811

    [44]

    Liu X M 2008 Phys. Rev. A 77 043818

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  • Received Date:  20 April 2013
  • Accepted Date:  05 May 2013
  • Published Online:  20 September 2013

Soliton trapping of dispersive waves during supercontinuum generation in photonic crystal fiber

  • 1. Key Laboratory for Micro/Nano Optoelectronic Devices of Ministry of Education, College of Information Science and Engineering, Hunan University, Changsha 410082, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 61275137), and the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-12-0166).

Abstract: Using the generalized nonlinear Schrödinger equation, we present a numerical study of trapping of dispersive waves by solitons during femtosecond pumped supercontinuum generation in photonic crystal fiber with single or double zero dispersive wavelength. Numerical simulation results show that the generated supercontinuum in photonic crystal fiber with two zero dispersive wavelengths includes both blue-shifted dispersive wave (B-DW) and red-shifted dispersive wave (R-DW) while the generated supercontinuum in photonic crystal fiber with single zero dispersive wavelength has only blue-shifted dispersive wave. We find a novel phenomenon that not only B-DW but also R-DW can be trapped by solitions via four-wave mixing when the group-velocity matching between the soliton and the dispersive wave is satisfied, thus leading to the generation of new spectral components. In order to clearly display the evolution of soliton trapping of dispersive waves, the spectrogram of output pulses is observed using cross-correlation frequency-resolved optical gating technique.

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