Holographic Interferometer as a Correlator of Phase Distortions with Response in the Form of Interference Pattern

Abstract

Considered in the work are known properties of holographic interferometer as according to the correlator with output signal in the form of interference fringes. It is known that a space correlation has various ratios of intensity between central correlation peak and background part for objects with different phase microrelief of a surface. Correspondingly an interference pattern must have different space distribution of contrast. A magnitude of contrast depends on changes in distribution of microrelief of investigated object, whereas the interference pattern depends on macroscopic modification of a form of the object. Used here is a scheme of Fourier holography with a random phase modulator in signal beam, reference beam is a point source, and restoring beam is the random phase modulator with random phase shift against initial random phase modulator. Also investigated is a recording of holographic interferogram with these random phase modulators. As the results of original theoretical consideration there was obtained an expression for fringe contrast and intensity of correlation peak. This model was tested by simulating of forming of holographic interferogram and reconstruction of the cross-correlation peak with phase distortions of various statistical distributions. Compared here are theoretical results, simulation results, and results obtained in real experiment.