An optical waveguide fiber having a core surrounded by a cladding. The core may have only a central segment, or a central segment and an annular segment surrounding the central segment. The central segment has a positive relative refractive index profile. The annular segment has a negative relative refractive index profile. The relative refractive index of the optical fiber provides an LP02 cable cutoff less than 850 nm and an LP21 cable cutoff less than 850 nm.