Photonic crystals form a new class of intriguing building blocks to be util
ized in future optoelectronics and electromagnetics. One of the most exciti
ng possibilities offered by photonic crystals is the realization of new typ
es of electromagnetic waveguides. In the optical domain, the most mature te
chnology for such photonic bandgap (PBG) waveguides is in optical fibre con
figurations. These new fibres can be classified in a fundamentally differen
t way to all optical waveguides and possess radically different guiding pro
pertied due to PBG guidance, as opposed to guidance by total internal refle
ction. In this paper we summarize and review our theoretical work demonstra
ting the underlying physical principles of PBG guiding optical fibres and d
iscuss some of their unique waveguiding properties.