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Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
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Published on: February 8, 2014

Strain estimation in digital holographic interferometry using piecewise polynomial phase approximation based method.

Sai Siva Gorthi1, G Rajshekhar, Pramod Rastogi

  • 1Applied Computing and Mechanics Laboratory, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.

Optics Express
|February 23, 2010
PubMed
Summary

This study introduces a novel method for directly measuring strain using digital holographic interferometry. The technique accurately calculates the unwrapped phase derivative, crucial for strain analysis in various applications.

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Area of Science:

  • Optics and Photonics
  • Materials Science
  • Metrology

Background:

  • Strain measurement is vital in engineering and materials science.
  • Digital holographic interferometry (DHI) is a powerful tool for displacement measurement.
  • Strain is derived from displacement, requiring phase derivative calculations in DHI.

Purpose of the Study:

  • To develop a direct and accurate method for measuring the unwrapped phase derivative in DHI.
  • To enable precise strain measurement applications.
  • To overcome limitations of existing phase derivative calculation methods.

Main Methods:

  • Approximation of interference phase as a piecewise cubic polynomial.
  • Evaluation of polynomial coefficients using the cubic phase function algorithm.
  • Direct construction of the phase derivative from evaluated coefficients.

Main Results:

  • Successful direct measurement of the unwrapped phase derivative.
  • Demonstrated accuracy through simulation and experimental validation.
  • The proposed method shows robust performance for strain analysis.

Conclusions:

  • The novel method provides an elegant solution for direct phase derivative measurement in DHI.
  • This technique enhances the precision of strain analysis.
  • The findings are applicable to a wide range of DHI-based metrology applications.