Abstract
In this paper, by applying the Collins integral formula, we obtain the analytical solution of the superimposed chirped Bessel–Gaussian vortex beam (SCBGVB) in strongly nonlocal nonlinear medium (SNNM). We investigate the SCBGVB’s propagation behaviors as well as the distribution of the intensity and the phase of the periodic self-focusing light field generated by the SNNM. And we can modulate its focusing times and the depth of the focus by choosing the appropriate factors. In this way, we can achieve a one-dimensional flat-topped light field with controllable length. In addition, we can manipulate the pattern of beam transmission, change its centroid position and regulate its focal intensity by choosing different components of SCBGVB’s vortex structure. What important is, we can also adjust its autofocusing position and control the ratio of two focal light intensity to form a series of high and low fluctuations without changing input power.
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