The enhancement of the abruptly autofocusing property with multiple circular Airy beams carrying lens phase factors

To improve the abruptly autofocusing property of circular Airy beam, we propose a method to generate multiple circular Airy beams (MCAB) carrying lens phase factors using a spatial light modulator (SLM). The propagation dynamics of this kind of beam is theoretically simulated, as well as experimentally verified. It is shown that four identical beams are produced symmetrically and they can move toward the center simultaneously. By changing the lens phase information encoded in the SLM, we can achieve different focal positions and focal intensities as we want. With the same parameters, compared with a single circular Airy beam (SCAB), there are two focal planes and the abruptly autofocusing property can be greatly enhanced. It may have some applications in various fields.

[1]  A Dogariu,et al.  Ballistic dynamics of Airy beams. , 2008, Optics letters.

[2]  D. Christodoulides,et al.  Accelerating finite energy Airy beams. , 2007, Optics letters.

[3]  D. Christodoulides,et al.  Abruptly autofocusing and autodefocusing optical beams with arbitrary caustics , 2012 .

[4]  Kaikai Huang,et al.  Abruptly autofocusing property of blocked circular Airy beams. , 2014, Optics express.

[5]  Xuanhui Lu,et al.  Propagation dynamics of abruptly autofocusing Airy beams with optical vortices. , 2012, Optics express.

[6]  Frank W. Wise,et al.  Airy–Bessel wave packets as versatile linear light bullets , 2010 .

[7]  D. Christodoulides,et al.  Airy plasmon: a nondiffracting surface wave. , 2010, Optics letters.

[8]  Jianguo Tian,et al.  Vacuum laser-driven acceleration by Airy beams. , 2010, Optics express.

[9]  D Courjon,et al.  Smallest lithographic marks generated by optical focusing systems. , 2007, Optics letters.

[10]  D. Hall,et al.  Vector-beam solutions of Maxwell's wave equation. , 1996, Optics letters.

[11]  R. Skidanov,et al.  Hypergeometric modes. , 2007, Optics letters.

[12]  Stelios Tzortzakis,et al.  Spatiotemporal airy light bullets in the linear and nonlinear regimes. , 2010, Physical review letters.

[13]  W. Sibbett,et al.  Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam , 2002, Nature.

[14]  Miceli,et al.  Diffraction-free beams. , 1987, Physical review letters.

[15]  Miroslav Kolesik,et al.  Curved Plasma Channel Generation Using Ultraintense Airy Beams , 2009, Science.

[16]  Xuanhui Lu,et al.  Radiation force of abruptly autofocusing Airy beams on a Rayleigh particle. , 2013, Optics express.

[17]  Jesús Lancis,et al.  Encoding complex fields by using a phase-only optical element. , 2014, Optics letters.

[18]  Ioannis Chremmos,et al.  Pre-engineered abruptly autofocusing beams. , 2011, Optics letters.

[19]  G. Gbur,et al.  Scintillation of Airy beam arrays in atmospheric turbulence. , 2010, Optics letters.

[20]  D. Christodoulides,et al.  Self-healing properties of optical Airy beams. , 2008, Optics express.

[21]  Demetrios N. Christodoulides,et al.  Abruptly autofocusing waves , 2010, CLEO: 2011 - Laser Science to Photonic Applications.

[22]  Bin Wang,et al.  Liquid Crystal Lens with Spherical Electrode , 2002 .

[23]  Jianping Ding,et al.  Optical trapping with focused Airy beams. , 2011, Applied optics.

[24]  Jeffrey A. Davis,et al.  Generation of accelerating Airy and accelerating parabolic beams using phase-only patterns. , 2009, Applied optics.

[25]  S. Khonina,et al.  Creating order with the help of randomness: generating transversely random, longitudinally invariant vector optical fields. , 2015, Optics letters.

[26]  Erez Hasman,et al.  Geometrical phase image encryption obtained with space-variant subwavelength gratings. , 2005, Optics letters.

[27]  K. Dholakia,et al.  Interfering Bessel beams for optical micromanipulation. , 2003, Optics letters.

[28]  Demetrios N. Christodoulides,et al.  Observation of accelerating Airy beams. , 2007 .

[29]  Susumu Noda,et al.  Sub-wavelength focal spot with long depth of focus generated by radially polarized, narrow-width annular beam. , 2010, Optics express.

[30]  Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement , 2003 .

[31]  Kishan Dholakia,et al.  Optical micromanipulation. , 2008, Chemical Society reviews.

[32]  Jörg Baumgartl,et al.  Optically mediated particle clearing using Airy wavepackets , 2008 .

[33]  Peng Zhang,et al.  Fourier-space generation of abruptly autofocusing beams and optical bottle beams. , 2011, Optics letters.

[34]  Jeffrey A. Davis,et al.  Direct generation of accelerating Airy beams using a 3/2 phase-only pattern. , 2009, Optics letters.

[35]  J. Gutiérrez-Vega,et al.  Alternative formulation for invariant optical fields: Mathieu beams. , 2000, Optics letters.

[36]  Alberto Lencina,et al.  Symmetric Airy beams. , 2014, Optics letters.

[37]  Xuanhui Lu,et al.  Propagation characteristics of the modified circular Airy beam. , 2015, Optics express.

[38]  Jianguo Tian,et al.  Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam. , 2010, Optics express.

[39]  N. Efremidis,et al.  Accelerating and abruptly autofocusing matter waves , 2013 .

[40]  Alexey P. Porfirev,et al.  Sudden autofocusing of superlinear chirp beams , 2018 .

[41]  Ilya Golub,et al.  Engineering the smallest 3D symmetrical bright and dark focal spots. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[42]  Zhao-Xiang Fang,et al.  Shaping symmetric Airy beam through binary amplitude modulation for ultralong needle focus , 2015, 1511.00391.

[43]  Peng Zhang,et al.  Trapping and guiding microparticles with morphing autofocusing Airy beams. , 2011, Optics letters.

[44]  Stelios Tzortzakis,et al.  Observation of abruptly autofocusing waves. , 2011, Optics letters.