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We study the propagation of guided light along an array of three-level atomsin the vicinity of an optical nanofiber under the condition ofelectromagnetically induced transparency. We examine two schemes of atomiclevels and field polarizations where the guided probe field is quasilinearlypolarized along the major or minor principal axis, which is parallel orperpendicular, respectively, to the radial direction of the atomic position.Our numerical calculations indicate that 200 cesium atoms in a linear arraywith a length of 100 $\mu$m at a distance of 200 nm from the surface of ananofiber with a radius of 250 nm can slow down the speed of guided probe lightby a factor of about $3.5\times 10^6$ (the corresponding group delay is about1.17 $\mu$s). In the neighborhood of the Bragg resonance, a significantfraction of the guided probe light can be reflected back with a negative groupdelay. The reflectivity and the group delay of the reflected field do notdepend on the propagation direction of the probe field. However, when the inputguided light is quasilinearly polarized along the major principal axis, thetransmittivity and the group delay of the transmitted field substantiallydepend on the propagation direction of the probe field. Under the Braggresonance condition, an array of atoms prepared in an appropriate internalstate can transmit guided light polarized along the major principal in onespecific direction even in the limit of infinitely large atom numbers. Thedirectionality of transmission of guided light through the array of atoms is aconsequence of the existence of a longitudinal component of the guided lightfield as well as the ellipticity of both the field polarization and the atomicdipole vector.

Electromagnetically induced transparency for guided light in an atomic array outside an optical nanofiber