Propagation properties of cosh-Airy beams

We theoretically investigate the propagation properties of cosh-Airy beams, which can be considered as a superposition of two Airy beams with different decay factors. We find that the field distribution of cosh-Airy beams is the same as that of Airy beams. Moreover, we find that the evolution of cosh-Airy beams is determined by the parameters of the cosh modulation function, in addition to the transverse scale factor and decay factor of the Airy beams. Our results demonstrate a possible method of manipulating Airy beams in free space. They can also be extended to the study of the propagation properties of cosine-Airy beams (or sine-Airy beams).

[1]  M. Tang,et al.  Propagation of the Airy beam along the optical axis of a uniaxial medium , 2017 .

[2]  Shuyu Lin,et al.  Propagation dynamics of deformed 2D vortex Airy beams , 2017 .

[3]  D. Deng,et al.  Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs , 2017 .

[4]  D. Deng,et al.  Self-accelerating Airy-Ince-Gaussian and Airy-Helical-Ince-Gaussian light bullets in free space. , 2016, Optics express.

[5]  I. Besieris,et al.  Accelerating Airy beams in the presence of inhomogeneities , 2016 .

[6]  D. Deng,et al.  Three-dimensional localized Airy-Hermite-Gaussian and Airy-Helical-Hermite-Gaussian wave packets in free space. , 2016, Optics express.

[7]  M. Belić,et al.  Three-dimensional localized Airy-Laguerre-Gaussian wave packets in free space. , 2015, Optics express.

[8]  X. Chu,et al.  Dependence of the beam wander of an airy beam on its kurtosis parameter in a turbulent atmosphere , 2015 .

[9]  M. Belić,et al.  Periodic inversion and phase transition of finite energy Airy beams in a medium with parabolic potential. , 2015, Optics express.

[10]  Guoquan Zhou,et al.  Propagation of an Airy beam in a strongly nonlocal nonlinear media , 2014 .

[11]  Yiming Dong,et al.  Finite energy Airy-Hermite-Gaussian beam and its paraxial propagation , 2013 .

[12]  Qiong Wu,et al.  Propagation characteristics of Airy-Bessel wave packets in free space. , 2013, Optics express.

[13]  Guoquan Zhou,et al.  The far-field divergent properties of an Airy beam , 2012 .

[14]  Daomu Zhao,et al.  Evolution of Airy beams in a chiral medium. , 2012, Optics letters.

[15]  X. Chu,et al.  Propagation of Airy beams in uniaxial crystals orthogonal to the optical axis. , 2012, Optics express.

[16]  Rui-Pin Chen,et al.  Analytical study of the self-healing property of Airy beams , 2012 .

[17]  Jianlin Zhao,et al.  Acceleration control of Airy beams with optically induced refractive-index gradient. , 2011, Optics letters.

[18]  V. Arrizon,et al.  Generation of Airy solitary-like wave beams by acceleration control in inhomogeneous media. , 2011, Optics express.

[19]  N. Efremidis,et al.  Airy trajectory engineering in dynamic linear index potentials. , 2011, Optics letters.

[20]  D. Luo,et al.  Propagation properties of an optical vortex carried by an Airy beam: experimental implementation. , 2011, Optics letters.

[21]  D. Luo,et al.  Propagation dynamics of an optical vortex imposed on an Airy beam. , 2010, Optics letters.

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

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

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

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

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

[27]  Julio C Gutiérrez-Vega,et al.  Airy-Gauss beams and their transformation by paraxial optical systems. , 2007, Optics express.

[28]  A Dogariu,et al.  Observation of accelerating Airy beams. , 2007, Physical review letters.

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

[30]  Bin Zhang,et al.  Propagation properties of cosh-Gaussian beams , 1999 .

[31]  S. A. Collins.  Lens-System Diffraction Integral Written in Terms of Matrix Optics , 1970 .