  Microstructured optical fibers (MOFs) are one of the most exciting recent
developments in fiber optics. A MOF usually consists of a hexagonal arrangement
of air holes running down the length of a silica fiber surrounding a central
core of solid silica or, in some cases air. MOFs can exhibit a number of unique
properties, including zero dispersion at visible wavelengths and low or high
effective nonlinearity [3]-[17], By varying the size of the holes and their
number and position, one can also design MOFs with carefully controlled
dispersive and modal properties. In this paper, we analyze and modeling the
behavior of the photonic crystal fiber (PCF) by using in the first step a
propagator method based on the BPM method. With our BPM software, the electric
field contour of the fundamental mode of PCF was demonstrated. We also used it
to see the variation of the effective index; an effective index model confirms
that such a fiber can be single mode for any wavelength. It would make a study
of photonic crystal fibers, and a study of the numerical simulation methods
allow the simulation of optical properties and has modeled the propagation of
light in this fiber type. After that we use the V-parameter because it offers a
simple way to design a photonic crystal fiber (PCF), by basing in a recent
formulation of this parameter of a PCF, we provide numerically based empirical
expression for this quantity only dependent on the two structural parameters,
the air hole diameter and the hole-to-hole center spacing.
