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In this paper, we numerically study the soliton trapping of supercontinuum in photonic crystal fiber by solving generalized nolinear Schrödinger equation. Using the cross-correlation frequency resolved optical gating (X-FROG) technique, the propagation of the supercontinuum is recorded along the fiber and the evolution of soliton trapping is observed. When the phase-matching condition is met, new frequency of the pulse trapping is generated from four-wave mixing of soliton with nonsolitonic radiation, and is continuously blueshifted while the soliton is redshifted. Higher pump-power shows the strong interaction between soliton and nonsolitonic radiation. Provided in the paper is a theoretical basis for tunable ultra-short laser pulses and supercontinuum researches.
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Keywords:
- photonic crystal fibers /
- supercontinuum /
- soliton trapping /
- generalized nolinear Schrödinger equation
[1] Ranka J K, Robert S W, Stentz A J 2000 Opt. Lett. 25 25
[2] Husakou A V, Herrmann J 2002 J. Opt. Soc. Am. B 19 2171
[3] Dudley J M, Genty G, Coen S 2006 Rev. Mod. Phys. 78 1135
[4] Wadsworth W J, Blanch A, Knight J C, Man T M, Russel P 2002 J. Opt. Soc. Am. B 19 2148
[5] Li S G, Ji Y L, Zhou G Y, Hou L T, Wang Q Y, Hu M L, Li Y F, Wei Z Y, Zhang J, Liu X D, 2004 Acta Phys. Sin. 53 478 (in Chinese) [李曙光, 冀玉领, 周桂耀, 侯蓝田, 王清月, 胡明列, 栗岩峰, 魏志义, 张军, 刘晓东 2004 53 478]
[6] 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 57 917]
[7] Smirnov S V, Ania-Castanon J D, Ellingham T J, Kobtsev S M, Kukarin S, Turitsyn S K 2005 Opt. Fiber Technol. 12 122
[8] Agrawal G P 2007 Nonlinear Fiber Optics (4th ed) (San Diego: Calif)
[9] Herrmann J, Griebner U, Zhavoronkov N, Husakou A, Nickel D, Knight J C, Wadsworth W J, Russell P, Korn G 2002 Phys. Rev. Lett. 88 173901
[10] Blanch A, Knight J C, Russell P 2002 J. Opt. Soc. Am. B 19 2567
[11] Mitschke F M, Mollenauer L F 1986 Opt. Lett. 11 659
[12] Nishizawa N, Goto T 2002 Opt. Express. 10 1151
[13] Dudley J M, Gu X, Xu L, Coen S, Windeler R S 2002 Opt. Express. 10 1215
[14] Genty G, Lehtonen M, Ludvigsen H 2004 Opt. Express. 12 4614
[15] Yulin A V, Skryabin D V, Russel P 2004 Opt. Lett. 29 2411
[16] Skryabin D V, Yulin A V 2005 Phys. Rev. E 72 016619
[17] Efimov A, Taylor A J, Omenetto F G, Yulin A V, Joly N Y, Biancalana F, Skryabin D V, Knight J C 2004 Opt. Express. 12 6498
[18] Gorbach A V, Skryabin D V, Stone J M, Knight J C 2006 Opt. Express. 14 9854
[19] Gorbach A V, Skryabin D V 2007 Nature Photon. 1 653
[20] Gorbach A V, Skryabin D V 2007 Phys. Rev. A 76 053803
[21] Skryabin D V, Gorbach A V 2010 Rev. Mod. Phys. 82 1287
[22] Hill S, Kuklewicz C E, Leonhardt U, Konig F 2009 Opt. Express. 17 13588
[23] Nishizawa N, Itoh K 2009 Appl. Phys. Express. 2 062501
[24] Erkintalo M, Genty G, Dudley J M 2010 Opt. Express. 18 13379
[25] Stolen R H, Gordon J P, Tomlinson W J, Haus H A 1989 J. Opt. Soc. Am. B 6 1159
[26] Hollenbeck D, Cantrell C D 2002 J. Opt. Soc. Am. B 19 2886
[27] Liu X M, Lee B 2003 IEEE Photon. Technol. Lett. 15 1549
[28] Li S G, Zhou G Y, Xing G L, Hou L T, Wang Q Y, Li Y F, Hu M L 2005 Acta Phys. Sin. 54 1599 (in Chinese) [李曙光, 周桂耀, 邢光龙, 侯蓝田, 王清月, 栗岩峰, 胡明列 2005 54 1599]
[29] Cristiani I, Tediosi R, Tartara L, Degiorgio V 2004 Opt. Express. 12 124
[30] Erkintalo M, Genty G, Wetzel B, Dudley J M 2010 Opt. Express. 18 25449
[31] Roy S, Bhadra S K, Saitoh K, Koshiba M, Agrawal G P 2011 Opt. Express. 19 10443
[32] Zhu Q H, Zhou S H, Zhao L, Zeng X M, Hang Z, Zhou K N, Wang X, Huang X J, Feng G Y 2011 Acta Phys. Sin. 60 84215 (in Chinese) [朱启华, 周寿桓, 赵磊, 曾小明, 黄征, 周凯南, 王逍, 黄小军, 冯国英 2011 60 84215]
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[1] Ranka J K, Robert S W, Stentz A J 2000 Opt. Lett. 25 25
[2] Husakou A V, Herrmann J 2002 J. Opt. Soc. Am. B 19 2171
[3] Dudley J M, Genty G, Coen S 2006 Rev. Mod. Phys. 78 1135
[4] Wadsworth W J, Blanch A, Knight J C, Man T M, Russel P 2002 J. Opt. Soc. Am. B 19 2148
[5] Li S G, Ji Y L, Zhou G Y, Hou L T, Wang Q Y, Hu M L, Li Y F, Wei Z Y, Zhang J, Liu X D, 2004 Acta Phys. Sin. 53 478 (in Chinese) [李曙光, 冀玉领, 周桂耀, 侯蓝田, 王清月, 胡明列, 栗岩峰, 魏志义, 张军, 刘晓东 2004 53 478]
[6] 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 57 917]
[7] Smirnov S V, Ania-Castanon J D, Ellingham T J, Kobtsev S M, Kukarin S, Turitsyn S K 2005 Opt. Fiber Technol. 12 122
[8] Agrawal G P 2007 Nonlinear Fiber Optics (4th ed) (San Diego: Calif)
[9] Herrmann J, Griebner U, Zhavoronkov N, Husakou A, Nickel D, Knight J C, Wadsworth W J, Russell P, Korn G 2002 Phys. Rev. Lett. 88 173901
[10] Blanch A, Knight J C, Russell P 2002 J. Opt. Soc. Am. B 19 2567
[11] Mitschke F M, Mollenauer L F 1986 Opt. Lett. 11 659
[12] Nishizawa N, Goto T 2002 Opt. Express. 10 1151
[13] Dudley J M, Gu X, Xu L, Coen S, Windeler R S 2002 Opt. Express. 10 1215
[14] Genty G, Lehtonen M, Ludvigsen H 2004 Opt. Express. 12 4614
[15] Yulin A V, Skryabin D V, Russel P 2004 Opt. Lett. 29 2411
[16] Skryabin D V, Yulin A V 2005 Phys. Rev. E 72 016619
[17] Efimov A, Taylor A J, Omenetto F G, Yulin A V, Joly N Y, Biancalana F, Skryabin D V, Knight J C 2004 Opt. Express. 12 6498
[18] Gorbach A V, Skryabin D V, Stone J M, Knight J C 2006 Opt. Express. 14 9854
[19] Gorbach A V, Skryabin D V 2007 Nature Photon. 1 653
[20] Gorbach A V, Skryabin D V 2007 Phys. Rev. A 76 053803
[21] Skryabin D V, Gorbach A V 2010 Rev. Mod. Phys. 82 1287
[22] Hill S, Kuklewicz C E, Leonhardt U, Konig F 2009 Opt. Express. 17 13588
[23] Nishizawa N, Itoh K 2009 Appl. Phys. Express. 2 062501
[24] Erkintalo M, Genty G, Dudley J M 2010 Opt. Express. 18 13379
[25] Stolen R H, Gordon J P, Tomlinson W J, Haus H A 1989 J. Opt. Soc. Am. B 6 1159
[26] Hollenbeck D, Cantrell C D 2002 J. Opt. Soc. Am. B 19 2886
[27] Liu X M, Lee B 2003 IEEE Photon. Technol. Lett. 15 1549
[28] Li S G, Zhou G Y, Xing G L, Hou L T, Wang Q Y, Li Y F, Hu M L 2005 Acta Phys. Sin. 54 1599 (in Chinese) [李曙光, 周桂耀, 邢光龙, 侯蓝田, 王清月, 栗岩峰, 胡明列 2005 54 1599]
[29] Cristiani I, Tediosi R, Tartara L, Degiorgio V 2004 Opt. Express. 12 124
[30] Erkintalo M, Genty G, Wetzel B, Dudley J M 2010 Opt. Express. 18 25449
[31] Roy S, Bhadra S K, Saitoh K, Koshiba M, Agrawal G P 2011 Opt. Express. 19 10443
[32] Zhu Q H, Zhou S H, Zhao L, Zeng X M, Hang Z, Zhou K N, Wang X, Huang X J, Feng G Y 2011 Acta Phys. Sin. 60 84215 (in Chinese) [朱启华, 周寿桓, 赵磊, 曾小明, 黄征, 周凯南, 王逍, 黄小军, 冯国英 2011 60 84215]
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