空间诱导产生艾里-贝塞尔光弹研究

任志君; 吴琼; 周卫东; 吴根柱; 施逸乐

doi:10.7498/aps.61.174207

摘要

利用波动方程,研究了脉冲贝塞尔光束在自由空间传输时的空间诱导群速度色散(SIGVD)效应. 结果表明,三阶SIGVD能使脉冲贝塞尔光束的时域逐渐演化为艾里分布. 由于艾里-贝塞尔光弹是一种新奇的时、空都不扩展的局域波包, 能在光与物质相互作用的很多应用领域发挥作用.因此,本文提出了通过色散管理技术补偿二阶SIGVD,利用三阶SIGVD在自由空间产生艾里-贝塞尔光弹的方案. 为分析这种光弹的时空传输特性,数值模拟了它在色散介质中的传输情况. 结果表明,这种光弹能在色散介质中保持空域不衍射、时域不色散的稳定传输.

关键词:

Abstract

Based on wave equation, we theoretically study the effect of spatially induced group velocity dispersion (SIGVD) of pulsed Bessel light beam propagation in free space. The results show that the third-order SIGVD can make pulsed Bessel beam gradually evolve into temporally Airy distribution. Airy-Bessel wave packet is such an exotic localized optical wave packet that it can possibly serve versatile tool in the research of light-matter interactions and has extensive applications. Hence we demonstrate the realization scheme of Airy-Bessel light bullets in free space by compensating the second-order SIGVD through utilizing dispersion management technique. To analyze the spatiotemporal propagation properties, we numerically simulate this light bullet propagation in a dispersion medium. The results show that it can retain spatial diffraction-free and temporal dispersion-free propagation in medium.

Keywords:

light bullets /
spatially induced group velocity dispersion /
Bessel beam /
Airy distribution

作者及机构信息

1.
浙江师范大学信息光学研究所, 金华 321004

基金项目: 国家自然科学基金(批准号: 11074221, 61178034); 浙江省自然科学基金(批准号: Y1100041)和"浙江师范大学创新团队"项目资助的课题.

Authors and contacts

1.
The Institute of Information Optics, Zhejiang Normal University, Jinhua 321004, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074221, 61178034), the Natural Science Foundation of Zhejiang (Grant No. Y1100041) and the program for Innovative Research Team, Zhejiang Normal University.

参考文献

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[18]	Abdollahpour D, Suntsov S, Papazoglou D G, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901
[19]	Kim K Y, Hwang C Y, Lee B 2011 Opt. Express 19 2286
[20]	Hu W, Guo H 2002 J. Opt. Soc. Am. A 19 49
[21]	Porras M A 2001 Opt. Lett. 26 1364
[22]	Agrawal G P 1995 Nonlinear Fiber Optics (San Diego: Academic Press)
[23]	Bozhevolnyi S I, Nerkararyan K V 2009 Opt. Express 17 10327
[24]	Agrawal G P 1999 Opt. Commun. 167 15-22
[25]	Rosen J, Salik B, Yariv A, Liu H K 1995 Opt. Lett. 20 423
[26]	Lohmann A W, Mendlovic 1992 Appl. Opt. 31 6212
[27]	Mcgloin D, Dholakia K 2005 Contemporary Phys. 46 15
[28]	Sheppard C J R 2002 J. Opt. Soc. A 19 2218
[29]	Durnin J, Miceli J J, Eberly J J H 1988 Opt. Lett. 13 79
[30]	Ma B T, Wu F T, Ma L Acta Phys. Sin. 59 6213 (in Chinese) [马宝田, 吴逢铁, 马亮 2010 59 6213]
[31]	Lu W H, Wu F T, Ma B T 2010 Acta Phys. Sin. 59 6101 (in Chinese) [卢文和, 吴逢铁, 马宝田 2010 59 6101]
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[34]	Besieris I M, Shaarawi A M 2008 Phys. Rev. E 78 046605
[35]	Marcuse D 1980 Appl. Opt. 19 1653
[36]	Marcuse D 1981 Appl. Opt. 20 2969
[37]	Marcuse D 1981 Appl. Opt. 20 3573

施引文献

[1]	Valtna-Lukner H, Bowlan P, Lohmus M, Piksarv P, Trebino R, Saari P 2009 Opt. Express 17 14948
[2]	Chong A, Renninger H W, Christodoulides D N, Wise F W 2010 Nat. Photon 4 103
[3]	Durnin J 1987 J. Opt. Soc. Am. A 4 651
[4]	Durnin J, Miceli J J 1987 Phys. Rev. Lett. 58 1499
[5]	Sun Q G, Zhou K Y, Fang G Y, Liu Z J, Liu S T 2012 Chin. Phys. B 21 014208
[6]	Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[7]	Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[8]	Sheppard C J R 2001 J. Opt. Soc. Am. A 18 2594
[9]	Saari P, Sonajalg H 1997 Laser Phys. 7 32
[10]	Polesana P, Franco M, Couairon A, Faccio D, Trapani P D 2008 Phys. Rev. A 77 043814
[11]	Polynkin P, Kolesik M, Roberts A, Faccio D, Trapani P D, Moloney J 2008 Opt. Express 16 15733
[12]	Bhuyan M K, Courvoisier F, Lacourt P A, Jacquot M, Furfaro L, Withford M J, Dudley J M, 2010 Opt. Express 18 566
[13]	Abdollahpour D, Panagiotopoulos P, Turconi M, Jedrkiewicz O, Faccio D, Trapani P D, Couairon A, Papazoglou D G, Tzortzakis S 2009 Opt. Express 17 5052
[14]	Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229
[15]	Salandrino A, Christodoulides D N 2010 Opt. Lett. 35 2082
[16]	Liu W, Neshev D N, Shadrivov I V, Miroshnichenko A E, Kivshar Y S 2011 Opt. Lett. 36 1164
[17]	Longhi S, Janner D, Laporta P 2004 J. Opt. B: Quantum Semiclass. Opt. 6 477
[18]	Abdollahpour D, Suntsov S, Papazoglou D G, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901
[19]	Kim K Y, Hwang C Y, Lee B 2011 Opt. Express 19 2286
[20]	Hu W, Guo H 2002 J. Opt. Soc. Am. A 19 49
[21]	Porras M A 2001 Opt. Lett. 26 1364
[22]	Agrawal G P 1995 Nonlinear Fiber Optics (San Diego: Academic Press)
[23]	Bozhevolnyi S I, Nerkararyan K V 2009 Opt. Express 17 10327
[24]	Agrawal G P 1999 Opt. Commun. 167 15-22
[25]	Rosen J, Salik B, Yariv A, Liu H K 1995 Opt. Lett. 20 423
[26]	Lohmann A W, Mendlovic 1992 Appl. Opt. 31 6212
[27]	Mcgloin D, Dholakia K 2005 Contemporary Phys. 46 15
[28]	Sheppard C J R 2002 J. Opt. Soc. A 19 2218
[29]	Durnin J, Miceli J J, Eberly J J H 1988 Opt. Lett. 13 79
[30]	Ma B T, Wu F T, Ma L Acta Phys. Sin. 59 6213 (in Chinese) [马宝田, 吴逢铁, 马亮 2010 59 6213]
[31]	Lu W H, Wu F T, Ma B T 2010 Acta Phys. Sin. 59 6101 (in Chinese) [卢文和, 吴逢铁, 马宝田 2010 59 6101]
[32]	Schneider M B, Webb W W 1981 Appl. Opt. 20 1382
[33]	Alexeev I, Kim K Y, Milchberg H M 2002 Phys. Rev. Lett. 88 073901
[34]	Besieris I M, Shaarawi A M 2008 Phys. Rev. E 78 046605
[35]	Marcuse D 1980 Appl. Opt. 19 1653
[36]	Marcuse D 1981 Appl. Opt. 20 2969
[37]	Marcuse D 1981 Appl. Opt. 20 3573

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