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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 38, Iss. 22 — Nov. 15, 2013
  • pp: 4585–4588

Soliton pair generation in the interactions of Airy and nonlinear accelerating beams

Yiqi Zhang, Milivoj Belić, Zhenkun Wu, Huaibin Zheng, Keqing Lu, Yuanyuan Li, and Yanpeng Zhang  »View Author Affiliations


Optics Letters, Vol. 38, Issue 22, pp. 4585-4588 (2013)
http://dx.doi.org/10.1364/OL.38.004585


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Abstract

We investigate numerically the interactions of two in-phase and out-of-phase Airy beams and nonlinear (NL) accelerating beams in Kerr and saturable NL media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-phase case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-phase case, they repel each other and, after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

© 2013 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: August 1, 2013
Revised Manuscript: September 16, 2013
Manuscript Accepted: September 29, 2013
Published: November 5, 2013

Citation
Yiqi Zhang, Milivoj Belić, Zhenkun Wu, Huaibin Zheng, Keqing Lu, Yuanyuan Li, and Yanpeng Zhang, "Soliton pair generation in the interactions of Airy and nonlinear accelerating beams," Opt. Lett. 38, 4585-4588 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-22-4585


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