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Adaptive phase-shifting algorithm for temporal phase evaluation.

Pablo D Ruiz1, Jonathan M Huntley, Guillermo H Kaufmann

  • 1Instituto de Física Rosario, Boulevard 27 de Febrero 210 bis, S2000EZP Rosario, Argentina. P.D.Ruiz@lboro.ac.uk

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|February 7, 2003
PubMed
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A new temporal-phase-shifting (TPS) method accurately measures specimen displacement by finding the optimal frequency in the windowed Fourier transform (WFT), preventing phase errors and unwrapping failures.

Area of Science:

  • Optical metrology
  • Interferometry
  • Materials science

Background:

  • Standard temporal-phase-shifting (TPS) algorithms rely on a fixed carrier frequency for phase evaluation.
  • Specimen displacement during image acquisition can shift the signal's peak frequency away from the carrier frequency.
  • This frequency shift causes phase errors and can lead to unwrapping failure in standard TPS methods.

Purpose of the Study:

  • To introduce a novel temporal-phase-shifting (TPS) method that adapts to frequency shifts caused by specimen displacement.
  • To improve the accuracy and reliability of phase evaluation in interferometric measurements.

Main Methods:

  • A new TPS algorithm is proposed that identifies the peak frequency within the windowed Fourier transform (WFT) of the intensity signal.

Related Experiment Videos

  • Phase evaluation is performed at the identified peak frequency, rather than a predefined carrier frequency.
  • Numerical simulations and experimental studies using high-speed speckle interferometry were conducted for performance comparison.

    • Main Results:

    • The novel TPS method demonstrated improved robustness against phase errors caused by specimen displacement.
    • Numerical simulations confirmed the effectiveness of the proposed frequency-searching approach.
    • Experimental results from carbon fiber panel analysis validated the method's performance in real-world applications.

    Conclusions:

    • The proposed adaptive TPS method effectively compensates for frequency shifts, enhancing measurement accuracy.
    • This technique offers a reliable solution for phase evaluation in dynamic interferometric applications.
    • The method shows significant potential for applications in materials testing and structural health monitoring.