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.

Date Published: 5 December 2014
PDF: 9 pages
Proc. SPIE 9441, 19th Polish-Slovak-Czech Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 944110 (5 December 2014); doi: 10.1117/12.2083581

Published in SPIE Proceedings Vol. 9441:
19th Polish-Slovak-Czech Optical Conference on Wave and Quantum Aspects of Contemporary Optics
Agnieszka Popiolek-Masajada; Waclaw Urbanczyk, Editor(s)