Spectral interferograms including the equalization wavelengths processed by autoconvolution method

The processing of the recorded spectral interferograms including the equalization wavelengths is extended by using autoconvolution method to determine the equalization wavelengths precisely. The equalization wavelength determination is used to estimate the spectral fringe phase function in a two-beam interference experiment with the compensated Michelson interferometer and an optical sample inserted in it under the knowledge of both dispersion in the interferometer and the displacement of the interferometer mirror. The interferometer dispersion is given by the thickness of fused-silica optical sample and its refractive index, which can be evaluated from the Sellmeier dispersion relation. Good agreement between the recorded and theoretical spectral interferograms is confirmed and a new method of determining the optical path differences between beams of the interferometer is proposed.