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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Regularized least squares phase sampling interferometry.

Juan Antonio Quiroga1, Julio Cesar Estrada, Manuel Servín

  • 1Optics Department, Universidad Complutense de Madrid, Facultad de CC Físicas, Ciudad Universitaria s/n Madrid 28040, Spain. aq@fis.ucm.es

Optics Express
|March 30, 2011
PubMed
Summary
This summary is machine-generated.

We developed a new quadrature filter for phase sampling interferometry. This method reliably measures dynamic phase, even with limited or missing data, overcoming limitations of existing techniques.

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Area of Science:

  • Physics
  • Optical Engineering
  • Signal Processing

Background:

  • Phase sampling interferometry is crucial for precise measurements.
  • Existing temporal analysis methods suffer from border effects and missing data issues.
  • Reliable dynamic phase measurement is essential for advanced interferometric applications.

Purpose of the Study:

  • To introduce a novel quadrature filter for phase sampling interferometry.
  • To address limitations of existing methods regarding border effects and missing data.
  • To enable reliable dynamic phase measurement across all samples.

Main Methods:

  • Development of a quadrature filter based on a regularized least squares cost function.
  • Enforcing the quadrature property of the filter through cost function regularization.
  • Application to phase sampling interferometry data with potential missing samples.

Main Results:

  • The proposed quadrature filter provides reliable dynamic phase measurement for every sample.
  • The method effectively handles cases with few samples or missing data.
  • Demonstrated superior performance compared to existing temporal analysis techniques.

Conclusions:

  • The novel quadrature filter offers a robust solution for dynamic phase measurement in phase sampling interferometry.
  • This method significantly improves data analysis reliability, especially in challenging scenarios.
  • The technique enhances the applicability of phase sampling interferometry in various scientific and engineering fields.