Phase evaluation in FTM interferometry using piecewise quadratic function

In the interferometry, the Fourier Transform Method (FTM) is one of the efficient ways for an interferogram evaluation and it can be used in many practical applications. Fourier transform used in the process of phase reconstruction gives an opportunity to eliminate some unwanted phenomena which are carried in the interferogram due to the process of measuring – for example a random noise of the sensor or a variation in the background intensity. Moreover, reconstructed phase can be obtained only from one registered interferogram, thus this method can be simply implemented in a real measurement process. During the FTM interferometry, an interferogram is reconstructed in several steps. Viewed from a mathematical part and a software implementation, the most complicated is a step called unwrapping; discontinuous image – as a result of atan function – is processed and the continuous phase is retrieved. This work presents a modified solution of an interferogram phase reconstruction without using the unwrapping process – the phase is obtained from its gradient using the piecewise quadratic function.

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