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We numerically investigated four-wave mixing (FWM) and supercontinuum generation in photonic crystal fibers (PCFs) in the long pump pulse scheme for the first time. We showed that simply based on phase-matching condition and energy conservation with quasi-continuous-wave approximation, one can theoretically determine the FWM signal and idler wavelengths with pump in the normal-dispersion regime, and the two symmetrical modulation instability sidebands with pump in the anomalous-dispersion regime. Using adaptive split-step Fourier method, we quantitatively simulated FWM and supercontinuum generation in PCFs with different dispersion profiles when pumping with a 1064 nm sub-nanosecond laser. Our simulation results agree with the experimental results very well.
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Keywords:
- photonic crystal fibers /
- supercontinuum /
- four-wave mixing /
- adaptive split-step Fourier method
[1] Wadsworth W J, Joly N, Knight J C, Birks T, Biancalana F, Russell P 2004 Opt. Express.12 299
[2] Hsiung P L, Chen Y, Ko T H, Fujimoto J G, deMatos C J S, Popov S V, Taylor J R, Gapontsev V P 2004 Opt. Express.12 5287
[3] Cumberland B A, Travers J C, Popov S V, Taylor J R 2008 Opt. Express.16 5954
[4] Ding L E, Li X, Li H N, Wu H, Zhang L P 2008 Chin. Phys. B 17 904
[5] Liu H J, Liu W H, Liu X M, Peng Q J,Song X Z,Wang Y S,Xu Z Y, Zhao W 2008 Chin. Phys. B 17 917
[6] Kudlinski A, George A K, Knight J C, Travers J C, Rulkov A B, Popov S V, Taylor J R 2006 Opt. Express. 14 5715
[7] Travers J C, Popov S V, Taylor J R 2005 Opt.Lett. 30 3132
[8] Cheng C F, Wang X F, Lu B 2004 Acta Phys. Sin. 53 1826 (in Chinese) [成纯富、王晓方、鲁 波 2004 53 1826]
[9] Liu W H, Wang Y S, Liu H J, Zhao W,Li Y F, Peng Q J, Xu Z Y 2006 Acts Phys. Sin. 55 1815 (in Chinese) [刘卫华、王屹山、刘红军、赵 卫、李永放、彭钦军、许祖彦 2006 55 1815]
[10] Husakou A V, Herrmann J 2001 Phys. Rev. Lett. 87 203901
[11] Herrmann J, Griebner U, Zhavoronkov N, Husakou A, Nickel D, Knight J C, Wadsworth W J, Russell P S J, Korn G 2002 Phys. Rev. Lett. 88 173901
[12] Akheelesh K A, Clifford H 2005 Opt. Lett. 30 61
[13] Ranka J K, Windeler R S, Stentz A J 2000 Opt. Lett. 25 25
[14] Oleg V S, Ronald H, John Z, Menyuk C R 2003 J. Lightwave Technol. 21 61
[15] Solange B C, Agrawal G P 1995 Phys. Rev. A 51 4086
[16] Agrawal G P 2007 Nonlinear Fiber Optics (4th ed) (San Diego:Calif) p276
[17] Kunimasa S, Masanori K 2005 Opt. Express. 13 267
[18] Rikknen E, Genty G, Kimmelma O, Kaivola M, Hansen K P, Buchter S C 2006 Opt. Express. 14 7914
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[1] Wadsworth W J, Joly N, Knight J C, Birks T, Biancalana F, Russell P 2004 Opt. Express.12 299
[2] Hsiung P L, Chen Y, Ko T H, Fujimoto J G, deMatos C J S, Popov S V, Taylor J R, Gapontsev V P 2004 Opt. Express.12 5287
[3] Cumberland B A, Travers J C, Popov S V, Taylor J R 2008 Opt. Express.16 5954
[4] Ding L E, Li X, Li H N, Wu H, Zhang L P 2008 Chin. Phys. B 17 904
[5] Liu H J, Liu W H, Liu X M, Peng Q J,Song X Z,Wang Y S,Xu Z Y, Zhao W 2008 Chin. Phys. B 17 917
[6] Kudlinski A, George A K, Knight J C, Travers J C, Rulkov A B, Popov S V, Taylor J R 2006 Opt. Express. 14 5715
[7] Travers J C, Popov S V, Taylor J R 2005 Opt.Lett. 30 3132
[8] Cheng C F, Wang X F, Lu B 2004 Acta Phys. Sin. 53 1826 (in Chinese) [成纯富、王晓方、鲁 波 2004 53 1826]
[9] Liu W H, Wang Y S, Liu H J, Zhao W,Li Y F, Peng Q J, Xu Z Y 2006 Acts Phys. Sin. 55 1815 (in Chinese) [刘卫华、王屹山、刘红军、赵 卫、李永放、彭钦军、许祖彦 2006 55 1815]
[10] Husakou A V, Herrmann J 2001 Phys. Rev. Lett. 87 203901
[11] Herrmann J, Griebner U, Zhavoronkov N, Husakou A, Nickel D, Knight J C, Wadsworth W J, Russell P S J, Korn G 2002 Phys. Rev. Lett. 88 173901
[12] Akheelesh K A, Clifford H 2005 Opt. Lett. 30 61
[13] Ranka J K, Windeler R S, Stentz A J 2000 Opt. Lett. 25 25
[14] Oleg V S, Ronald H, John Z, Menyuk C R 2003 J. Lightwave Technol. 21 61
[15] Solange B C, Agrawal G P 1995 Phys. Rev. A 51 4086
[16] Agrawal G P 2007 Nonlinear Fiber Optics (4th ed) (San Diego:Calif) p276
[17] Kunimasa S, Masanori K 2005 Opt. Express. 13 267
[18] Rikknen E, Genty G, Kimmelma O, Kaivola M, Hansen K P, Buchter S C 2006 Opt. Express. 14 7914
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