  Slow light with electromagnetically induced transparency (EIT) in the core of
cylindrical waveguide (CW) for an optical fiber system containing three-level
atoms is investigated. The CW modes are treated in the weakly guiding
approximation which renders the analysis into manageable form. The transparency
window and permittivity profile of the waveguide due to the strong pump field
in the EIT scheme is calculated. For a specific permittivity profile of the
waveguide due to EIT, the propagation constant of the weak signal field and
spatial shape of fundamental guided mode are calculated by solving the vector
wave equation using the finite difference method. It is found that the
transparency window and slow light field can be controlled via the CW
parameters. The reduced group velocity of slow light in this configuration is
useful for many technological applications such as optical memories, effective
control of single photon fields, optical buffer and delay line.
