Comparison of carrier removal methods in the analysis of TV holography fringes by the Fourier transform method

Abstract

Carrier removal is a key step in the Fourier transform method (FTM) of fringe pattern analysis because it can give rise to significant errors in the recovered phase. The existing methods of fringe carrier removal in the FTM are reviewed and a comparison of three different methods, translation of the sidelobe to the frequency origin, leastsquares fit and subtraction of the phase of the undeformed carrier fringes, are presented. Computer-generated fringe patterns are used to determine the differences between the original and the retrieved phase distributions. Several figures of merit are proposed to assess the performance of the mentioned methods. Experimental fringe patterns, obtained by double-pulsed-subtraction TV holography, are analyzed by the methods considered here, and the retrieved phase distributions are also compared.Subject terms: Fourier transform method; fringe analysis; TV holography; electronic speckle pattern interferometry; speckle metrology. Paper

Talbot effect application: measurement of distance with a Fourier-transform method

“…Our approach implies a carrier removal in the Fourier plane performed via a shift of one side lobe to the frequency origin. Strictly speaking, this procedure is similar to the standard Fourier transform method of fringe pattern analysis [23][24][25], although different Fourier techniques could be used [26].…”

Suppressing carrier removal error in the Fourier transform method for interferogram analysis

“…The FTM was first demonstrated by Takeda et al [1] in 1982, and then developed to two dimensions by Bone et al in 1986 [2]. Subsequently, many works about the theory and application of the FTM were published [3][4][5][6][7]. The notable advantage of the FTM is that it can extract phase information from a single interferogram by introducing carrier frequencies, thus making the measurement dynamic and less sensitive to environmental perturbation, such as acoustics or other vibration.…”