A phase shifting method based on high-resolution frequency estimation and Fourier transform technique is introduced. This method, also referred to as the eigenvector method, draws on the complementary strengths of both these methods. The salient feature of the method lies in its ability to handle nonsinusoidal waveforms, multiple piezoelectric transducers, and arbitrary phase steps in an optical configuration. The method does not need the addition of carrier fringes to separate the spectral contents in the intensity fringes. The proposed concept thus overcomes the limitations of methods based on Fourier transform techniques. The robustness of the proposed method is studied in the presence of noise.
© 2005 Optical Society of America
(070.2590) Fourier optics and signal processing : ABCD transforms
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
Instrumentation, Measurement, and Metrology
Rajesh Langoju, Abhijit Patil, and Pramod Rastogi, "Resolution-enhanced Fourier transform method for the estimation of multiple phases in interferometry," Opt. Lett. 30, 3326-3328 (2005)