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The effect of mutual-induced fractional Fourier transform (FRFT) between a weak signal beam and a strong pump beam in a strongly nonlocal nonlinear medium is described. The signal beam is an FRFT during propagation and the order of FRFT is dependent on the propagation distance and the power of the pump beam. When the propagation distance is fixed, the order of FRFT of the signal beam is proportional to the square root of the power of the pump beam. Mutual-induced FRFT is another method of light controlling light, and its properties contribute to the development of new type FRFT devices, optical information processing and optical imaging.
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Keywords:
- fractional Fourier transform /
- nonlocal media /
- mutual-induction /
- optical soliton
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[12] Kartashov Y V, Torner L, Vysloukh V A, Mihalache D 2006 Opt. Lett. 31 1483
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[20] [21] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
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[33] [34] [35] Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602
[36] Pellat-Finet P 1994 Opt. Lett. 19 1388
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[39] [40] [41] Kutay M A, Ozaktas H M 1998 J. Opt. Soc. Am. A 15 825
[42] [43] Hahn J, Kim H, Lee B 2006 Opt. Express 14 11103
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[46] Ozaktas H M, Mendlovic D 1994 Opt. Lett. 19 1678
[47] [48] Lohmann A W 1993 J. Opt. Soc. Am. A 10 2181
[49] [50] [51] Bernardo L, Soares O D D 1994 Opt. Commun. 110 517
[52] [53] Lohmann A W 1995 Opt. Commun. 115 437
[54] [55] Lu D Q, Hu W, Zheng Y J, Liang Y B, Cao L G, Lan S, Guo Q 2008 Phys. Rev. A 78 043815
[56] Zheng Y J, Lu D Q, Zheng R, Hu W, Guo Q 2009 Opt. Commun. 282 4423
[57] [58] Deng D M, Zhao X, Guo Q, Lan S 2007 J. Opt. Soc. Am. B 24 2537
[59] [60] [61] Rotschild C, Segev M, Xu Z, Kartashov Y V, Torner L 2006 Opt. Lett. 31 3312
[62] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[63] [64] Alfassl B, Rotschild C, Manela O, Segev M 2007 Opt. Lett. 32 154
[65] [66] [67] Cao L G, Zhu Y Q, Lu D Q, Hu W, Guo Q 2008 Opt. Commun. 281 5004
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[1] Krolikowski W, Bango O, Rasmussen J J, Wylle J 2001 Phys. Rev. E 64 016612
[2] [3] Snyder A W, Mitchell D J 1997 Science 276 1538
[4] [5] Shen Y R 1997 Science 276 1520
[6] [7] Ding N, Guo Q 2009 Chin. Phys. B 18 4298
[8] [9] Yang Z J,Lu D Q, Hu W, Zheng Y Z, Gao X H 2010 Chin. Phys. B 19 124212
[10] [11] Deng D M, Guo Q 2008 J. Opt. A 10 035101
[12] Kartashov Y V, Torner L, Vysloukh V A, Mihalache D 2006 Opt. Lett. 31 1483
[13] [14] [15] Wang Y Q, Guo Q 2008 Chin. Phys. B 17 7
[16] [17] Pecclanti M, Rossi A D, Assanto G 2002 Appl. Phys. Lett. 77 7
[18] [19] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[20] [21] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
[22] Rotschild C, Alfassi B, Cohen O, Segev M 2006 Nat. Phys. 2 769
[23] [24] Xu C B, Guo Q 2004 Acta Phys. Sin. 53 3025 (in Chinese)[许超彬、郭 旗 2004 物理学报 53 3025]
[25] [26] Yang P B, Cao L G, Hu W, Zhu Y Q, Guo Q, Yang X B 2008 Acta Phys. Sin. 57 285 (in Chinese) [杨平保、曹龙贵、胡 巍、朱叶青、郭 旗、杨湘波 2008 物理学报 57 285]
[27] [28] Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍、郭 旗 2005 物理学报 54 3178]
[29] [30] Bai D F, Guo Q, Hu W 2008 Acta Phys. Sin. 57 5684 (in Chinese)[白东峰、郭 旗、胡 巍 2008 物理学报 57 5684]
[31] [32] 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 物理学报 59 1075]
[33] [34] [35] Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602
[36] Pellat-Finet P 1994 Opt. Lett. 19 1388
[37] [38] Bernardo L M, Soares O D D 1994 J. Opt. Soc. Am. A 11 2622
[39] [40] [41] Kutay M A, Ozaktas H M 1998 J. Opt. Soc. Am. A 15 825
[42] [43] Hahn J, Kim H, Lee B 2006 Opt. Express 14 11103
[44] [45] Mendlovic D, Ozaktas H M 1993 J. Opt. Soc. Am. A 10 1875
[46] Ozaktas H M, Mendlovic D 1994 Opt. Lett. 19 1678
[47] [48] Lohmann A W 1993 J. Opt. Soc. Am. A 10 2181
[49] [50] [51] Bernardo L, Soares O D D 1994 Opt. Commun. 110 517
[52] [53] Lohmann A W 1995 Opt. Commun. 115 437
[54] [55] Lu D Q, Hu W, Zheng Y J, Liang Y B, Cao L G, Lan S, Guo Q 2008 Phys. Rev. A 78 043815
[56] Zheng Y J, Lu D Q, Zheng R, Hu W, Guo Q 2009 Opt. Commun. 282 4423
[57] [58] Deng D M, Zhao X, Guo Q, Lan S 2007 J. Opt. Soc. Am. B 24 2537
[59] [60] [61] Rotschild C, Segev M, Xu Z, Kartashov Y V, Torner L 2006 Opt. Lett. 31 3312
[62] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[63] [64] Alfassl B, Rotschild C, Manela O, Segev M 2007 Opt. Lett. 32 154
[65] [66] [67] Cao L G, Zhu Y Q, Lu D Q, Hu W, Guo Q 2008 Opt. Commun. 281 5004
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