### Abstract

The evolution of two spatially separated light beams in a nonlinear Kerr medium described by a system of coupled nonlinear Schrodinger equations is studied. An analytic solution is found for the variational problem. It is shown that when two crossed beams interact, a bound state can develop in which the distance between the centers of the beams and their radii vary periodically. Here the mutual curvature of the trajectories of the centers of the beams causes the beams to bend into a helical structure whose parameters (pitch and diameter) are also periodic functions. The threshold power for mutual trapping is determined and the period of the oscillations is found.

Original language | English |
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Pages (from-to) | 1101-1106 |

Number of pages | 6 |

Journal | Journal of Experimental and Theoretical Physics |

Volume | 86 |

Issue number | 6 |

Publication status | Published - 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Experimental and Theoretical Physics*,

*86*(6), 1101-1106.

**Interaction of two spatially separated light beams in a nonlinear Kerr medium.** / Desyatnikov, A. S.; Maïmistov, A. I.

Research output: Contribution to journal › Article

*Journal of Experimental and Theoretical Physics*, vol. 86, no. 6, pp. 1101-1106.

}

TY - JOUR

T1 - Interaction of two spatially separated light beams in a nonlinear Kerr medium

AU - Desyatnikov, A. S.

AU - Maïmistov, A. I.

PY - 1998

Y1 - 1998

N2 - The evolution of two spatially separated light beams in a nonlinear Kerr medium described by a system of coupled nonlinear Schrodinger equations is studied. An analytic solution is found for the variational problem. It is shown that when two crossed beams interact, a bound state can develop in which the distance between the centers of the beams and their radii vary periodically. Here the mutual curvature of the trajectories of the centers of the beams causes the beams to bend into a helical structure whose parameters (pitch and diameter) are also periodic functions. The threshold power for mutual trapping is determined and the period of the oscillations is found.

AB - The evolution of two spatially separated light beams in a nonlinear Kerr medium described by a system of coupled nonlinear Schrodinger equations is studied. An analytic solution is found for the variational problem. It is shown that when two crossed beams interact, a bound state can develop in which the distance between the centers of the beams and their radii vary periodically. Here the mutual curvature of the trajectories of the centers of the beams causes the beams to bend into a helical structure whose parameters (pitch and diameter) are also periodic functions. The threshold power for mutual trapping is determined and the period of the oscillations is found.

UR - http://www.scopus.com/inward/record.url?scp=22044435453&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22044435453&partnerID=8YFLogxK

M3 - Article

VL - 86

SP - 1101

EP - 1106

JO - Journal of Experimental and Theoretical Physics

JF - Journal of Experimental and Theoretical Physics

SN - 1063-7761

IS - 6

ER -