This invention results from the realization that a laser can remove the protective layer(s) from the glass or fused silica optical fiber core and cladding more effectively and more reliably than chemical or mechanical means. This invention teaches methods of using laser beams to remove the protective layers of fibers without significantly damaging the optical and mechanical properties of the fiber and without leaving an excessive amount of residual ablation debris on the fiber while providing careful control of the laser energy. This method thereby allows users to safely strip protective layers off sensitive fibers, such as fibers used for fiber Bragg gratings (FBG). This method allows stripping of the protective layers from single fibers and from multi-fiber ribbon cables. It also allows stripping of the protective layers at an end section of the cable or in a middle section (mid-span).