The present invention relates to a method and a device making it possible to convert a gaussian laser beam in the laser beam "top hat -". The method consists in using the optical kerr effect in the materials by passing the gaussian laser beam through a non-linear material (2), which modifies the refractive index of the non-linear medium and therefore the phase space of the laser beam. This modification of the phase space, modifies the propagation of the laser beam and creates a zone (4) in the virtual space in which the laser beam has a uniform distribution of energy, or annular. An optical system (8) then carried out a real image of this zone (4).
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