An optical fiber includes a glass fiber, having a cladding and core, surrounded by a polymer coating. Some of the coating is removed by a laser beam so that the optical fiber comprises a first lengthwise portion covered by the coating and a second lengthwise portion where the coating is not present on at least ninety-five (95) percent of an exterior surface of the second lengthwise portion. A microstructure of the polymer coating, adjacent to the second lengthwise portion on the first lengthwise portion, tapers at an angle such that a thickness of the polymer coating decreases toward the second lengthwise portion as a function of proximity to the second lengthwise portion. The optical fiber may also be optionally cleaved with the laser beam.