Phase measurement in temporal speckle pattern interferometry signals presenting low modulated regions by means of the bidimensional empirical mode decomposition

M. B. BERNINI; A. FEDERICO; G. H. KAUFMANN

APPLIED OPTICS

OPTICAL SOC AMER

Lugar: Washington; Año: 2011 vol. 50 p. 641 - 647

0003-6935

We propose a phase measurement technique to retrieve optical phasedistributions coded in noisy temporal speckle pattern interferometrysignals presenting regions of adjacent low modulated pixels, that is based on the bidimensional empirical modedecomposition and the Hilbert transform. It is shown that this approach can effectively remove noiseand minimize the influence of large sets of adjacent non-modulated pixelsin the time series of speckle interferograms. The performance of the phaseretrieval approach is analyzed using computer simulated speckleinterferograms modulated with a temporal carrier. This is also compared withthe results obtained by the well-known technique based on the one-dimensional empirical mode decomposition. The advantages andlimitations of the approach are finally discussed.