强非局域非线性介质中的互诱导分数傅里叶变换

赵宝平; 杨振军; 陆大全; 胡巍

doi:10.7498/aps.60.084214

摘要

在强非局域非线性介质中,用强抽运光可以诱导另一弱信号光实现互诱导分数傅里叶变换效应.信号光的分数傅里叶变换阶数与传输距离和抽运光功率有关,当传输距离不变时与抽运光功率的开方成正比.互诱导分数傅里叶变换是实现光控光的又一方法,其特性有助于研发新型的分数傅里叶变换器件,并在光信息处理、光学成像等多个领域有潜在的应用.

关键词:

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.

Keywords:

作者及机构信息

1.
华南师范大学光子信息技术实验室,广州 510631

基金项目: 国家自然科学基金(批准号: 10804033,10674050)、高等学校博士学科点专项科研基金(批准号:200805740002)和广东省高等学校科技创新团队计划(批准号:06CXTD005)资助的课题.

Authors and contacts

1.
Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China

参考文献

[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 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 57 285]
[27]
[28]	Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍、郭旗 2005 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 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 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

施引文献

[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 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 57 285]
[27]
[28]	Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍、郭旗 2005 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 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 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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