Patent Number: 
Section: claims

1. An optimized laser cutting method for cutting out a piece from a material by a cutting system comprisinga laser source for producing a laser beam having a power, anda cutting head comprising an end nozzle for the passage of the cutting laser beam,wherein the method is characterized in that it comprises a step of determining a cutting power Pd such that:Pd=Max(Popt;λe)where Max is the mathematical operator of the maximum,Popt is an optimal power of the laser beam of the cutting system, determined in accordancewith the piece to be cut out, and/orwith cutting parameters and/orwith the type of system,in order to minimize the mass defect per unit length of the piece during a cutting of the piece,λ is a leading coefficient representing the number of kW required for cutting out the piece per mm of thickness of the piece, ande is the thickness of the piece, in mm. 2. The method according to claim 1, wherein the cutting power Pd is of the form:Pd=Max(Λ;λe)where Λ is a predetermined constant,λ is a leading coefficient representing the number of kW required for cutting out the piece per mm of thickness of the piece, ande is the thickness of the piece, in mm. 3. The method according to claim 2, wherein, for a cutting system comprising a laser source of the yttrium aluminium garnet YAG type for the production of a laser beam having a wavelength of the order of 1 μm, the power Pd is of the form:Pd=Max(4.75;0.1·e). 4. The method according to claim 1, comprising an initial step of determining an expression of the power of the laser beam in accordance with the piece to be cut out, and/or with cutting parameters, and/or with the type of system, initial step according to which:the system performs a plurality of test cuttings of a piece while varying the power of the beam, and/or the piece to be cut out, and/or the cutting parameters and/or the type of system;a sensor performs a plurality of corresponding measurements of the mass defect during each test cutting of the piece,a computerexpresses the mass defect per unit length during each test cutting of the piece in accordance with the power of the beam, and/or with the piece to be cut out, and/or with cutting parameters and/or with the type of system;performs a partial derivative of the expression of the mass defect per unit length, with respect to the power of the laser beam, and determines the expression making it possible to cancel out said partial derivative in accordance with the piece to be cut out, and/or with cutting parameters and/or with the type of system.