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Robust phase recovery in temporal speckle pattern interferometry using a 3D directional wavelet transform.

Alejandro Federico1, Guillermo H Kaufmann

  • 1Electrónica e Informática, Instituto Nacional de Tecnología Industrial, P.O. Box B1650WAB, B1650KNA San Martín, Argentina. federico@inti.gov.ar

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Summary
This summary is machine-generated.

A new 3D directional wavelet transform effectively retrieves optical phase distributions from temporal speckle interferometry data, even with challenging non-modulated pixels. This method enhances phase recovery in optical metrology applications.

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Area of Science:

  • Optical Metrology
  • Wavelet Transforms
  • Interferometry

Background:

  • Temporal speckle pattern interferometry is crucial for measuring deformations.
  • Phase retrieval in interferometry is often hindered by noise and artifacts like non-modulated pixels.
  • Existing methods may struggle with complex data affected by adjacent non-modulated pixels.

Purpose of the Study:

  • To introduce and validate a novel 3D directional wavelet transform for optical phase retrieval.
  • To demonstrate the approach's effectiveness in handling time-series speckle interferograms with non-modulated pixels.
  • To analyze the performance and limitations of the proposed phase retrieval method.

Main Methods:

  • Application of a 3D directional wavelet transform to temporal speckle interferograms.
  • Introduction of a temporal carrier in an out-of-plane interferometer setup for analysis.
  • Simulations and analysis considering modulation loss and noise effects.

Main Results:

  • Successful recovery of optical phase distributions from challenging speckle interferogram time series.
  • Demonstrated robustness against adjacent non-modulated pixels.
  • Quantitative performance analysis under simulated noise and modulation loss.

Conclusions:

  • The 3D directional wavelet transform offers a robust solution for phase retrieval in temporal speckle pattern interferometry.
  • The method effectively overcomes limitations posed by non-modulated pixels and noise.
  • Further investigation into advantages and limitations will guide future applications.