An optical fiber includes an optical fiber axis; a core extending along the axis, the core being made of a first, undoped material having a first refractive index; and a cladding coextensive to and surrounding the core. The cladding includes a background matrix made of the first material and has a plurality of holes formed in the background matrix extending parallel to the fiber axis arranged around the core in substantially concentric rings, and filled with a second material having a second refractive index lower than the first refractive index. The number of the rings of holes is two or three, an average distance between the holes is at least about 6 .mu.m, a ratio between an effective radius of the core and the average distance between the holes is at most about 1, and a ratio between an average dimension of the holes and the average distance between the holes is at least about 0.5.