Phase Recovery from Interference Fringes by Hilbert Transform

Abstract

This paper proposes the use of the Hilbert transform for analysis of fringe patterns, which are obtained in Michelson Interferometer. The fringe patterns are evaluated by Continuous wavelet transform and Hilbert transform algorithms to obtain phase map and refractive index. Continuous wavelet transform algorithm shows a better filtering effect. However Hilbert transform algorithm gives a noisy result, since its frequency spectrum has harmonic noise. Results show that the phase map is affected by Hilbert Filter.