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Analytical solution in the Ince-Gaussian form of the beam propagating in the strong nonlocal media

Liu You-Wen Zhang Xia-Ping

Analytical solution in the Ince-Gaussian form of the beam propagating in the strong nonlocal media

Liu You-Wen, Zhang Xia-Ping
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  • Received Date:  11 February 2009
  • Accepted Date:  11 March 2009
  • Published Online:  20 December 2009

Analytical solution in the Ince-Gaussian form of the beam propagating in the strong nonlocal media

  • 1. (1)南京航空航天大学理学院,南京 210016; (2)南京航空航天大学理学院,南京 210016;南京晓庄学院物理系,南京 210017

Abstract: Based on the Snyder-Mitchell model that describes the paraxial beam propagating in strongly nonlocal nonlinear media and by constituting the trial solution with modulating the Gaussian beam by Ince polynomials in elliptic coordinate,the close forms of Ince-Gaussian beams have been accessed. Depending on the power of the beam,the Ince-Gaussian beams can be either a soliton state when the input power is equal to the critical power or a breather state. The Ince-Gaussian beams constitute the exact and continuous transition modes between Hermite-Gaussian beams and Laguerre-Gaussian beams. The profiles of the breather at different propagating distance are numerically obtained and the transitions of a few Ince solitons are given.

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