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A simple analytical way of creating superpositions of Bessel-Gaussian lightbeams with knotted nodal lines is proposed. It is based on the equivalencebetween the paraxial wave equation and the two-dimensional Schr\"odingerequation for a free particle. The $2D$ Schr\"odinger propagator is expressed interms of Bessel functions, which allows to obtain directly superpositions ofbeams with a desired topology of nodal lines. Four types of knots areconstructed in the explicit way: the unknot, the Hopf link, the Borromean ringsand the trefoil. It is also shown, using the example of the figure-eight knot,that more complex structures require larger number of constituent beams as wellas high precision both from the numerical and the experimental side. A tinychange of beam's intensity can lead to the knot "switching".

Knotted nodal lines in superpositions of Bessel-Gaussian light beams