| abstract |
A method for laser processing a transparent workpiece includes forming a contour line that includes defects, by directing a pulsed laser beam output by a beam source through an aspheric optical element positioned offset in a radial direction from the beam pathway and into the transparent workpiece such that the portion of the pulsed laser beam directed into the transparent workpiece generates an induced absorption within the transparent workpiece that produces a defect within the transparent workpiece. The portion of the pulsed laser beam directed into the transparent workpiece includes a wavelength λ, an effective spot sizew<sub>o,eff</sub>, and a non-axisymmetric beam cross section having a minimum Rayleigh rangeZ<sub>Rx,min</sub>in an x-direction and a minimum Rayleigh rangeZ<sub>Rx,min</sub>in a y-direction. Further, the smaller ofZ<sub>Rx,min</sub>andZ<sub>Ry,min</sub>is greater thanFDπw0,eff2λ,whereF<sub>D</sub>is a dimensionless divergence factor comprising a value of 10 or greater. |