mid-infrared (approximately 10 mum) electrorefractive effects of intersubband transitions in step GaAs/GaAlAs quantum wells are experimentally analyzed. The anomalous dispersion is measured over the entire spectral range of the transition and is found to be consistent with the Kramers-Kronig relations in the case of a Lorentzian absorption shape. Finally, a solution of Maxwell's equations in the multiquantum well structure is detailed and leads to a good agreement with the experimental data.