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Nonlocal nonlinearity is one of the hottest topics in the nonlinear optics and even the nonlinear science. In this paper, the frequency chirp induced by the self-phase modulation (SPM) in a high noninstantaneous medium is investigated. It is found that the temporal distribution of the SPM-induced chirp can be approximated by the “inverted image” of the pulse intensity in the highly noninstantaneous limit. Moreover, this property does not depend on the envelope of the pulse. By using these properties, the temporal characteristics of the pulse propagation in a highly noninstantaneous medium is analyzed.
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Keywords:
- noninstantaneous /
- chirp /
- self-phase modulation
[1] Agrawal G P 2005 Nonlinear Fiber Optics (3rd Ed.) (Singapore: Elsevier Pte Ltd.) pp17-25
[2] Snyder A W, Mitchell D J 1997 Science 276 1538
[3] Krolikowski W, Bang O 2003 Phys. Rev. E 63 016610
[4] Rotschild C, Cohen O, Manela O, Segev M, Carmon T 2005 Phys. Rev. Lett. 95 213904
[5] Peccianti M, Assanto G 2001 Opt. Lett. 26 1791
[6] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[7] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[8] Xu Z, Kartashov V, Torner L 2006 Phys. Rev. E 73 055601
[9] Cheng S, Wang Q, Ge L J, Shi J L, Ding H X, Shen M 2011 Chin. Phys. B 20 054206
[10] Wen S C, Fan D Y 2001 Chin. Phys. B 11 1032
[11] Bai Z Y, Deng D M, Guo Q 2012 Chin. Phys. B 21 064218
[12] Bang O, Krolikowski W, Wyller J, Rasmussen J 2002 Phys. Rev. E 66 043319
[13] Oyang S, Guo Q 2009 Opt. Express 17 5170
[14] Zhou L H, Gao X H, Yang Z J, Lu D Q, Guo Q, Cao W W, Hu W 2011 Acta Phys. Sin. 60 044208 (in Chinese) [周罗红, 高星辉, 杨振军, 陆大全, 郭旗, 曹伟文, 胡巍 2011 60 044208]
[15] Zheng Y J, Xuan W T, Lu D Q, Ouyang S G, Hu W, Guo Q 2010 Acta Phys. Sin. 59 1075 (in Chinese) [郑亚建, 宣文涛, 陆大全, 欧阳世根, 胡巍, 郭旗 2010 59 1075]
[16] Fanjoux G, Michaud J, Maillotte H, Sylvestre T 2008 Phys. Rev. Lett. 100 013908
[17] Xu G, Garnier J, Trillo S, Picozzi A 2013 Opt. Lett. 38 2972
[18] Picozzi A, Pitois S, Millot G 2008 Phys. Rev. Lett. 101 093901
[19] Conti C, Schmidt M A, Russell P S, Biancalan F 2010 Phys. Rev. Lett. 105 263902
[20] Kibler B, Michel C, Garnier J, Picozzi A 2012 Opt. Lett. 37 2472
[21] Xiao Y, Maywar D N, Agrawal G P 2013 Phys. Rev. A 87 063816
[22] Raja R V J, Husakou A, Hermann J, Porsezian K 2010 J. Opt. Soc. Am. B 27 1763
[23] Agrawal G P, Headley III C H 1992 Phys. Rev. A 46 1573
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[1] Agrawal G P 2005 Nonlinear Fiber Optics (3rd Ed.) (Singapore: Elsevier Pte Ltd.) pp17-25
[2] Snyder A W, Mitchell D J 1997 Science 276 1538
[3] Krolikowski W, Bang O 2003 Phys. Rev. E 63 016610
[4] Rotschild C, Cohen O, Manela O, Segev M, Carmon T 2005 Phys. Rev. Lett. 95 213904
[5] Peccianti M, Assanto G 2001 Opt. Lett. 26 1791
[6] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[7] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[8] Xu Z, Kartashov V, Torner L 2006 Phys. Rev. E 73 055601
[9] Cheng S, Wang Q, Ge L J, Shi J L, Ding H X, Shen M 2011 Chin. Phys. B 20 054206
[10] Wen S C, Fan D Y 2001 Chin. Phys. B 11 1032
[11] Bai Z Y, Deng D M, Guo Q 2012 Chin. Phys. B 21 064218
[12] Bang O, Krolikowski W, Wyller J, Rasmussen J 2002 Phys. Rev. E 66 043319
[13] Oyang S, Guo Q 2009 Opt. Express 17 5170
[14] Zhou L H, Gao X H, Yang Z J, Lu D Q, Guo Q, Cao W W, Hu W 2011 Acta Phys. Sin. 60 044208 (in Chinese) [周罗红, 高星辉, 杨振军, 陆大全, 郭旗, 曹伟文, 胡巍 2011 60 044208]
[15] Zheng Y J, Xuan W T, Lu D Q, Ouyang S G, Hu W, Guo Q 2010 Acta Phys. Sin. 59 1075 (in Chinese) [郑亚建, 宣文涛, 陆大全, 欧阳世根, 胡巍, 郭旗 2010 59 1075]
[16] Fanjoux G, Michaud J, Maillotte H, Sylvestre T 2008 Phys. Rev. Lett. 100 013908
[17] Xu G, Garnier J, Trillo S, Picozzi A 2013 Opt. Lett. 38 2972
[18] Picozzi A, Pitois S, Millot G 2008 Phys. Rev. Lett. 101 093901
[19] Conti C, Schmidt M A, Russell P S, Biancalan F 2010 Phys. Rev. Lett. 105 263902
[20] Kibler B, Michel C, Garnier J, Picozzi A 2012 Opt. Lett. 37 2472
[21] Xiao Y, Maywar D N, Agrawal G P 2013 Phys. Rev. A 87 063816
[22] Raja R V J, Husakou A, Hermann J, Porsezian K 2010 J. Opt. Soc. Am. B 27 1763
[23] Agrawal G P, Headley III C H 1992 Phys. Rev. A 46 1573
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