Precision measurement of the refractive index of air with frequency combs

We report an experimental method for high-precision refractive index measurement using a Michelson interferometer setup with a femtosecond optical frequency comb as the light source. We demonstrate this technique by measuring the refractive index of air, under different pressures, inside a 29 m multipass cell. Both spectral and temporal interferograms are recorded. The method has a sensitivity of 6.2 x 10(-9) and a standard error of 7.4 x 10(-8) at fixed parameters (pressure and temperature). The possible variation of the density factor from the Lorentz-Lorenz equation is also discussed.