Recording depth and signal competition in heterodyne interferometry

A common way to measure submicroscopic motion of the organ of Corti is heterodyne interferometry. The depth over which vibration can be accurately measured with heterodyne interferometry is determined by both the optics, which controls to what extent light from nonfocal planes reaches the photodetectors, and demodulation electronics, which determines to what extent signal generated by out-of-focal-plane light influences the measurements. The influence of a second reflecting surface is investigated theoretically and experimentally. By reviewing the theory of FM demodulation and showing tests with a Revox FM demodulator, it is demonstrated that the influence of a secondary signal on a measurement depends on the modulation index. Both high- and low-modulation index signals are encountered in heterodyne interferometry of the cochlea. Using a He-Ne-like diode laser (lambda = 638 nm), the border between low- and high-modulation signals is at a displacement of about 25-100 nm. Confocal interferometry reduces the magnitude of out-of-focus signals, and therefore their effect on vibration measurement. The response of the confocal system to reflected signals from two surfaces separated by distances encountered within the cochlear partition is shown. The results underscore the benefit of steep optical sectioning for intracochlear measurements.