In accordance with one aspect of the invention, the core and cladding regions of a hollow-core optical fiber are configured so that a signal mode is coupled to a cladding mode in order to exploit polarization-dependent properties. In general, the fiber comprises a hollow-core region surrounded by a cladding region, which includes a localized hollow-waveguide region. The core and waveguide regions are configured so that the coupling between a signal mode in the core region and a cladding mode in the waveguide region are phase-matched for efficient coupling, and the phase-matching condition is made polarization-dependent to provide improved control of the fiber's polarization dependent properties.