Method for tapering optical fibers to conform to a desired radial profile

An apparatus and method for tapering an optical fiber segment having an initial radial profile to substantially conform to a pre-specifiable desired radial profile for controlling mutually coordinated elongation and softening of different axial portions of the segment according to control parameters derivable based on a normalized axial coordinate reference by which points of the initial profile map to corresponding points of the desired profile. The softening and/or elongation may progress substantially in either a step-wise, time-discrete manner or time-continuously. The invention is useful for forming tapered fused couplers as well as for tapering individual fibers.