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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 6 — Mar. 24, 2014
  • pp: 7160–7171

Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media

Yiqi Zhang, Milivoj R. Belić, Huaibin Zheng, Haixia Chen, Changbiao Li, Yuanyuan Li, and Yanpeng Zhang  »View Author Affiliations


Optics Express, Vol. 22, Issue 6, pp. 7160-7171 (2014)
http://dx.doi.org/10.1364/OE.22.007160


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Abstract

We investigate numerically interactions between two in-phase or out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media in one transverse dimension. We discuss different cases in which the beams with different intensities are launched into the medium, but accelerate in opposite directions. Since both the Airy beams and nonlinear accelerating beams possess infinite oscillating tails, we discuss interactions between truncated beams, with finite energies. During interactions we see solitons and soliton pairs generated that are not accelerating. In general, the higher the intensities of interacting beams, the easier to form solitons; when the intensities are small enough, no solitons are generated. Upon adjusting the interval between the launched beams, their interaction exhibits different properties. If the interval is large relative to the width of the first lobes, the generated soliton pairs just propagate individually and do not interact much. However, if the interval is comparable to the widths of the maximum lobes, the pairs strongly interact and display varied behavior.

© 2014 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(190.3270) Nonlinear optics : Kerr effect
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(350.5500) Other areas of optics : Propagation
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: December 27, 2013
Revised Manuscript: February 25, 2014
Manuscript Accepted: March 2, 2014
Published: March 19, 2014

Citation
Yiqi Zhang, Milivoj R. Belić, Huaibin Zheng, Haixia Chen, Changbiao Li, Yuanyuan Li, and Yanpeng Zhang, "Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media," Opt. Express 22, 7160-7171 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-6-7160


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