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Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
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Visualization of additive-type moiré and time-average fringe patterns using the continuous wavelet transform.

Krzysztof Pokorski1, Krzysztof Patorski

  • 1Institute of Micromechanics and Photonics, Warsaw University of Technology, 8 Sw. A. Boboli Street, 02-525 Warsaw, Poland. k.pokorski@mchtr.pw.edu.pl

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Summary

This study introduces a continuous wavelet transform for analyzing moiré fringes and vibration patterns. This method simplifies experiments by eliminating the need for phase shifting, offering accurate results comparable to traditional techniques.

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Area of Science:

  • Optics and Photonics
  • Signal Processing
  • Experimental Mechanics

Background:

  • Additive moiré fringes and time-average patterns are crucial in optical metrology for analyzing deformations and vibrations.
  • Traditional demodulation techniques, such as temporal phase-shifting, are accurate but experimentally complex.
  • Continuous wavelet transform (CWT) offers potential for advanced signal analysis in fringe pattern interpretation.

Purpose of the Study:

  • To propose and validate the application of continuous wavelet transform (CWT) for modulation extraction of additive moiré fringes and time-average patterns.
  • To numerically investigate the impact of CWT parameters and fringe pattern characteristics on demodulation accuracy.
  • To introduce a novel two-frame approach for wavelet ridge extraction to handle signals with zero-crossing values.

Main Methods:

  • Numerical simulations were conducted to assess the influence of various parameters on CWT-based demodulation.
  • A two-frame wavelet ridge extraction technique was developed for improved signal processing.
  • Experimental validation was performed using time-average interferometry to capture vibration mode patterns.

Main Results:

  • Numerical studies demonstrated the effectiveness of CWT for demodulating moiré and time-average fringe patterns.
  • The proposed two-frame approach successfully addressed challenges in demodulating signals with zero crossings.
  • Experimental results for vibration mode patterns showed excellent agreement with numerical findings.
  • The CWT method achieved accuracy comparable to the widely used temporal phase-shifting technique.

Conclusions:

  • Continuous wavelet transform provides a robust and accurate method for modulation extraction in fringe pattern analysis.
  • The proposed CWT approach significantly simplifies experimental procedures by eliminating the need for phase shifting.
  • This technique offers a promising alternative for vibration analysis and other applications in optical metrology.