Preferred embodiments of a system and methods to deliver different magnitudes of laser power density to a work piece while maintaining a constant focusing spot size are described. In particular, the system includes a laser, an optical focusing assembly and an overlay. The overlay receives a laser beam having a perimeter at a first magnitude of power and transmits the laser beam to the optical focusing assembly at about the same perimeter and at a magnitude lower than the first magnitude. In a preferred embodiment, the overlay can include an optically neutral blocking lens or a neutral density filter. A method of laser machining an orifice at a suitable average power density sufficient to machine the orifice with reduced heat affected zone, spatters, soots or recasts is described. A method of providing a focusing spot size of a generally constant effective area by a laser machining system is also described.