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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Iterative least square phase-measuring method that tolerates extended finite bandwidth illumination.

Florin Munteanu1, Joanna Schmit

  • 1Veeco Instruments Inc., Tucson, Arizona, USA.

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Summary
This summary is machine-generated.

This study enhances iterative least squares phase-measuring techniques for phase-shifting interferometry. The modified algorithm achieves vibration-insensitive measurements even with varying fringe contrast, improving accuracy in laser interferometers.

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Area of Science:

  • Optical metrology
  • Interferometry

Background:

  • Phase-shifting interferometry (PSI) is sensitive to vibrations and scanner nonlinearity.
  • Traditional PSI methods assume constant fringe contrast.
  • Existing iterative least squares methods require precise phase step knowledge.

Purpose of the Study:

  • To modify iterative least squares methods for vibration-insensitive PSI.
  • To enable accurate measurements with spatially and temporally varying fringe contrast.
  • To address limitations of PSI in systems with limited bandwidth light sources and non-zero numerical apertures.

Main Methods:

  • Step-by-step modifications to the basic iterative least squares algorithm.
  • Simultaneous determination of wavefront phase and phase steps from phase-shifted fringe frames.
  • Algorithm validation using experimental data.

Main Results:

  • The modified algorithm provides vibration-insensitive measurements.
  • Successful compensation for fringe contrast variations across frames and fields.
  • Theoretical analysis of the algorithm's tolerance to contrast variations.

Conclusions:

  • The enhanced iterative least squares method overcomes limitations of traditional PSI.
  • This technique improves the robustness and accuracy of optical metrology systems.
  • The algorithm is effective even with challenging fringe contrast conditions.