Electromagnetically induced transparency controlled by a microwave field

We have experimentally studied propagation of two optical fields in a dense rubidium (Rb) vapor in the case when an additional microwave field is coupled to the hyperfine levels of Rb atoms. The Rb energy levels form a close-lambda three-level system coupled to the optical fields and the microwave field. It has been found that the maximum transmission of a probe field depends on the relative phase between the optical and the microwave fields. We have observed both constructive and destructive interference in electromagnetically induced transparency (EIT). A simple theoretical model and a numerical simulation have been developed to explain the observed experimental results.