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We present the spatially self-bending solutions (the partial Bessel functions) of the Maxwell equations, where the self-bending wave can be produced through launching a group of plane waves that interfere with each other by modulating their initial phases and the emission directions. The self-bending electromagnetic waves accelerating in a circular trajectory preserve the beam shape within a certain propagation distance. Unlike Ariy wave packet, the bending angle of the new self-accelerating wave can be much larger than that of Ariy beam. The Poynting vector of the half Bessel beam shows that the main lobe maintains a propagation-invariant structure and can complete a turn close to 180°. In addition, one pair of half Bessel electromagnetic waves is forbidden to propagate inside a certain area where the designed beam generates the self-shielding region.
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Keywords:
- Bessel beam /
- self-bending /
- self-shielding
[1] Durnin J 1987 J. Opt. Soc. Am. A 4 651
[2] Durnin J, Miceli J J, Eberly J H 1987 Phys. Rev. Lett. 58 1499
[3] Gutiérrez-Vega J C, Iturbe-Castillo M D, Chávez-Cerda S 2000 Opt. Lett. 25 1493
[4] Bandres M A, Gutiérrez-Vega J C, Chávez-Cerda S 2004 Opt. Lett. 29 44
[5] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[6] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[7] Polynkin P, Kolesik M, Moloney J 2009 Phys. Rev. Lett. 103 123902
[8] Abdollahpour D, Suntsov S, Papazoglou D G, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901
[9] Greenfield E, Segev M, Walasik W, Raz O 2011 Phys. Rev. Lett. 106 213902
[10] Kaminer I, Segev M, Christodoulides D N 2011 Phys. Rev. Lett. 106 213903
[11] Minovich A, Klein A E, Janunts N, Pertsch T, Neshev D N, Kivshar Y S 2011 Phys. Rev. Lett. 107 116802
[12] Li L, Li T, Wang S M, Zhang C, Zhu S N 2011 Phys. Rev. Lett. 107 126804
[13] Ament C, Polynkin P, Moloney J V 2011 Phys. Rev. Lett. 107 24391
[14] Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photon. 2 675
[15] Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229
[16] Chong A, Renninger W H, Christodoulides D N, Wise F W 2010 Nat. Photon. 4 103
[17] Berry M V, Balazs N L 1979 Am. J. Phys. 47 264
[18] Novitsky A V, Novitsky D V 2009 Opt. Lett. 34 3430
[19] Carretero L, Acebal P, Blaya S, Garcia C, Fimia A, Madrigal R, Murciano A 2009 Opt. Express 17 22432
[20] Kaminer I, Bekenstein R, Nemirovsky J, Segev M 2012 Phys. Rev. Lett. 108 163901
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[1] Durnin J 1987 J. Opt. Soc. Am. A 4 651
[2] Durnin J, Miceli J J, Eberly J H 1987 Phys. Rev. Lett. 58 1499
[3] Gutiérrez-Vega J C, Iturbe-Castillo M D, Chávez-Cerda S 2000 Opt. Lett. 25 1493
[4] Bandres M A, Gutiérrez-Vega J C, Chávez-Cerda S 2004 Opt. Lett. 29 44
[5] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[6] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[7] Polynkin P, Kolesik M, Moloney J 2009 Phys. Rev. Lett. 103 123902
[8] Abdollahpour D, Suntsov S, Papazoglou D G, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901
[9] Greenfield E, Segev M, Walasik W, Raz O 2011 Phys. Rev. Lett. 106 213902
[10] Kaminer I, Segev M, Christodoulides D N 2011 Phys. Rev. Lett. 106 213903
[11] Minovich A, Klein A E, Janunts N, Pertsch T, Neshev D N, Kivshar Y S 2011 Phys. Rev. Lett. 107 116802
[12] Li L, Li T, Wang S M, Zhang C, Zhu S N 2011 Phys. Rev. Lett. 107 126804
[13] Ament C, Polynkin P, Moloney J V 2011 Phys. Rev. Lett. 107 24391
[14] Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photon. 2 675
[15] Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229
[16] Chong A, Renninger W H, Christodoulides D N, Wise F W 2010 Nat. Photon. 4 103
[17] Berry M V, Balazs N L 1979 Am. J. Phys. 47 264
[18] Novitsky A V, Novitsky D V 2009 Opt. Lett. 34 3430
[19] Carretero L, Acebal P, Blaya S, Garcia C, Fimia A, Madrigal R, Murciano A 2009 Opt. Express 17 22432
[20] Kaminer I, Bekenstein R, Nemirovsky J, Segev M 2012 Phys. Rev. Lett. 108 163901
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