Abstract: A laser-machining apparatus that utilizes "flying optics" having at least one lens that corrects the divergence of the laser beam as it is emitted from the laser. Without correction, "flying optics" type of systems cannot be used with materials requiring a kerf that must be kept within tolerances not exceeding a couple of thousandths of an inch. The preferred embodiment utilizes a vertical lens that focuses the beam on the surface of the work piece. An additional adjustment of the vertical position of that lens is provided that corresponds to the distance that the carriage is from the laser and degree of divergence experienced with the laser that is being used. An alternative embodiment places at least one beam adjustment lens between the laser and the redirecting mirror that redirects the beam from the laser onto the surface of the work piece. In this embodiment, adjustment of the vertical lens to compensate for the laser beam divergence is unnecessary.