Fabrication of micrometer concentric ring structures on polymer substrate using an axicon and high power ultra violet laser radiation is reported. The fabrication method consists on producing a periodic intensity distribution over the polymer's surface with a Bessel beam shape. The micropatterns were fabricated using a pulsed laser system operating at either 266 or 355 nm. Theoretical calculations of the periodic intensity distribution are used to explain the observed experimental results. The simple optical arrangement used in this work can be used to fabricate the above mentioned patterns over several mm2.