Nonlinear Bessel beams

Details Nonlinear Bessel beams Nonlinear Bessel beams

2003-05-20

arxiv.org/abs/physics/0305085v1

Optics Comm. 222 (2003) 107-115

Physics

Optics

15 pages, 7 figures

Scientific paper

10.1016/S0030-4018(03)01603-1

The effect of the Kerr nonlinearity on linear non-diffractive Bessel beams is investigated analytically and numerically using the nonlinear Schr\"odinger equation. The nonlinearity is shown to primarily affect the central parts of the Bessel beam, giving rise to radial compression or decompression depending on whether the nonlinearity is focusing or defocusing, respectively. The dynamical properties of Gaussian-truncated Bessel beams are also analysed in the presence of a Kerr nonlinearity. It is found that although a condition for width balance in the root-mean-square sense exists, the beam profile becomes strongly deformed during propagation and may exhibit the phenomena of global and partial collapse.

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