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Least-squares phase estimation with multiple parameters in phase-shifting electronic speckle pattern interferometry.

Hae Young Yun1, Chung Ki Hong, Seok Won Chang

  • 1Department of Physics, Pohang University of Science and Technology, Pohang 790-784, Korea.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|February 7, 2003
PubMed
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This study introduces a new phase-estimation method for electronic speckle pattern interferometry. It accurately measures phase variations even in noisy conditions, improving measurement robustness.

Area of Science:

  • Optical Metrology
  • Interferometry
  • Image Processing

Background:

  • Phase-shifting electronic speckle pattern interferometry (PS-ESPI) is a key technique for non-contact surface measurement.
  • Traditional phase estimation methods in PS-ESPI often struggle with noise and steep phase variations.
  • Accurate phase retrieval is crucial for reliable displacement and deformation analysis.

Purpose of the Study:

  • To develop an accurate and robust phase-estimation method for PS-ESPI.
  • To overcome limitations of existing methods that assume constant phase within fitting windows.
  • To enhance the reliability of phase measurements in challenging experimental conditions.

Main Methods:

  • Developed a novel phase-estimation method that accounts for phase gradients within fitting windows.

Related Experiment Videos

  • Formulated a cost function based on a least-squares criterion, incorporating pixel position information.
  • Applied Powell's iteration method to derive phase and its gradient.
  • Implemented an automatic consistency-checking routine and an improved initial guess algorithm.

    • Main Results:

    • The new method demonstrates high accuracy and robustness in phase estimation.
    • It effectively handles situations with significant noise and steep phase variations.
    • The incorporation of phase gradients improves the fidelity of the retrieved phase map.

    Conclusions:

    • The proposed phase-estimation method offers a significant advancement for PS-ESPI.
    • It provides more reliable measurements compared to conventional techniques, especially in adverse conditions.
    • This method enhances the applicability of PS-ESPI in various scientific and engineering fields.