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Partial Bessel electromagnetic wave

Li Liang-Sheng Yan Hua Hou Zhao-Guo Yin Hong-Cheng

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Partial Bessel electromagnetic wave

Li Liang-Sheng, Yan Hua, Hou Zhao-Guo, Yin Hong-Cheng
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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.
    • Funds: Project supported by the National Defense Research Foundation, China (Grant No. 109750014).
    [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

  • [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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Publishing process
  • Received Date:  23 July 2012
  • Accepted Date:  12 September 2012
  • Published Online:  05 February 2013

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