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The signal registered by a plane photodetector placed behind an opticallyinhomogeneous object irradiated by two coherent Gaussian beams intersectinginside the object at small angle to each other is calculated in thesingle-scattering approximation. In the considered arrangement, only one of thebeams hits the detector and serves as local oscillator for heterodyning thefield scattered by the other beam (not hitting the detector). The results ofanalytical calculation show that the signal detected in this way is contributedonly by the region of the inhomogeneous object where the two beams overlap. Bymoving the scatterer with respect to the overlap region and monitoring theheterodyned signal, with the aid of the derived expression, one can reconstructthe refractive-index relief of the scatterer. We also propose a simple methodof spatial mapping of the sample that allows one to estimate the magnitude andcharacteristic dimensions of the inhomogeneities.

Heterodyne detection of scattered light: Application to mapping and tomography of optically inhomogeneous media