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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.
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Keywords:
- light bullets /
- spatially induced group velocity dispersion /
- Bessel beam /
- Airy distribution
[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 物理学报 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 物理学报 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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[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 物理学报 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 物理学报 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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