A photonic-bandgap fiber includes a photonic crystal lattice with a
material having a first refractive index and a pattern of regions formed
therein. Each of the regions has a second refractive index lower than the
first refractive index. The photonic-bandgap fiber further includes a
core and a core ring surrounding the core and having an inner perimeter,
an outer perimeter, and a thickness between the inner perimeter and the
outer perimeter. The thickness is sized to reduce the number of ring
surface modes supported by the core ring.