The space filling mode of holey fibers: An analytical vectorial solution

We tackle holey fibers in full vectorial terms. From Maxwell's equations, w e derive the dispersion relations of the modes guided by an infinitely self -similar air hole lattice. We focus in particular on the fundamental mode ( the so-called space filling mode), and show that previous numerical results based on vector methods are accurate, but scalar ones are not. We also fin d the field flow lines, intensity distribution in the cross section, and li near polarization ratio vs, wavelegth.