Phase-recovery improvement using analytic wavelet transform analysis of a noisy interferogram cepstrum

PABLO ETCHEPAREBORDA; ANA LAURA VADNJAL; ALEJANDRO FEDERICO; GUILLERMO KAUFMANN

OPTICS LETTERS

OPTICAL SOC AMER

Lugar: Washington; Año: 2012 vol. 37 p. 3843 - 3845

0146-9592

We evaluate the extension of the exact nonlinear reconstruction technique developed for digital holography to the phase-recovery problems presented by other optical interferometric methods, which use carrier modulation. It is shown that the introduction of an analytic wavelet analysis in the ridge of the cepstrum transformation corresponding to the analyzed interferogram can be closely related to the well-known wavelet analysis of the interferometric intensity. Subsequently, the phase-recovery process is improved. The advantages and limitations of this framework are analyzed and discussed using numerical simulations in singular scalar light fields and in temporal speckle pattern interferometry.