A method for determining a characteristic of an analyte in a biological sample, the method comprising: directing broadband light by means of a sensing light path at the biological sample, at a target depth defined by the sensing light path and a reference light path; and receiving the broadband light reflected from the biological sample by means of the sensing light path. The method also includes: directing the broadband light by means of the reference light path at a reflecting device; receiving the broadband light reflected from the reflecting device by means of the reference light path; and interfering the broadband light reflected from the biological sample and the broadband light reflected from the reflecting device. The method further includes: detecting the broadband light resulting from interference of the broadband light reflected from the biological sample and the broadband light reflected from the reflecting device; and modulating an effective light path length of at least one of the reference light path and the sensing light path to enhance interference of the broadband light reflected from the biological sample and the broadband light reflected from the reflecting device. The method continues with: determining a magnitude of change of the effective light path length introduced by the modulating when interference is enhanced; determining a variation in an index of refraction from a ratio of the magnitude of change of the effective light path length and the target depth; and determining the characteristic of the analyte in the biological sample from the variation in the index of refraction.