Combined with the nano-technology, the optical fibre doped with nano-material as InP is manufactured by using the MCVD (modified chemical vapor deposition) technology. Proved experiments, this novel optical fibre has an excellent wave-guide characteristic. The graphs of presentation of the core and the propagation constant beta have been simulated by using the FEM (finite element method). Then the effective refractive index neff ap 1.400 of this fibre is calculated, and these are the foundations for our future research on this fibre.