This dataset consists of transmission measurements though a rubidium vapour cell and simulations thereof. A weak signal field counter-propagates through the cell with a strong control field, each detuned from transitions in the Rb atom. We include experimental and simulated transmission spectra for the continuous wave signal field with the control field modulated by an optical chopper. Transmitted signal light is analyzed by a time-binned interferometer, and phase shift is extracted. Similarly, experimental results for a pulsed signal field are observed, and analyzed by the same means.