Coupled Airy breathers.

The dynamics of two component-coupled vectorial Airy beams is investigated. In the linear propagation regime, a complete analytic solution describes the breather-like propagation of two components that feature nondiffracting self-accelerating Airy behavior. The superposition of two beams with different input properties opens the possibility of designing more complex nondiffracting propagation scenarios. In the strongly nonlinear regime, the dynamics remain qualitatively robust as is revealed by direct numerical simulations. Because of the Kerr effect, the two beams emit solitonic breathers whose coupling period is compatible with the remaining Airy-like beams. The results of this study are relevant for the description of photonic and plasmonic beams that propagate in coupled planar waveguides, as well as for birefrigent or multiwavelength beams.

[1]  P. Piksarv,et al.  Temporal focusing of ultrashort pulsed Bessel beams into Airy–Bessel light bullets , 2012 .

[2]  Ady Arie,et al.  Generation of electron Airy beams , 2013, Nature.

[3]  M. Belić,et al.  Three-dimensional finite-energy Airy self-accelerating parabolic-cylinder light bullets , 2013 .

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

[5]  X. Zhuang,et al.  Isotropic 3D Super-resolution Imaging with a Self-bending Point Spread Function , 2014, Nature photonics.

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

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

[8]  Thomas Pertsch,et al.  Generation and near-field imaging of Airy surface plasmons. , 2011, Physical review letters.

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

[10]  Huaibin Zheng,et al.  Soliton pair generation in the interactions of Airy and nonlinear accelerating beams. , 2013, Optics letters.

[11]  Michael V Berry,et al.  Nonspreading wave packets , 1979 .

[12]  Mordechai Segev,et al.  Self-accelerating optical beams in highly nonlocal nonlinear media. , 2011, Optics express.

[13]  Mordechai Segev,et al.  Self-accelerating self-trapped optical beams. , 2011, Physical review letters.

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

[15]  Roberto Morandotti,et al.  Reshaping the trajectory and spectrum of nonlinear Airy beams. , 2012, Optics letters.

[16]  Jerome V Moloney,et al.  Supercontinuum generation with femtosecond self-healing Airy pulses. , 2011, Physical review letters.

[17]  Huaibin Zheng,et al.  Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media. , 2014, Optics express.

[18]  Roberto Morandotti,et al.  Nonparaxial Mathieu and Weber accelerating beams. , 2012, Physical review letters.

[19]  Ady Arie,et al.  Arbitrary bending plasmonic light waves. , 2013, Physical review letters.

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

[21]  Ady Arie,et al.  Nonlinear generation and manipulation of Airy beams , 2009 .

[22]  Dan M Marom,et al.  Soliton shedding from Airy pulses in Kerr media. , 2011, Optics express.

[23]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[24]  I. Chremmos.  Temporal cloaking with accelerating wave packets. , 2014, Optics letters.