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High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
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SIM PlanetQuest white-light fringe modeling: picometer accuracy calibration and estimation algorithms.

Chengxing Zhai1, Jeffrey Yu, Mike Shao

  • 1Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA. Chengxing.Zhai@jpl.nasa.gov

Applied Optics
|February 12, 2009
PubMed
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Scientists developed a new method for calibrating white-light fringes in astrometry, crucial for precise space telescope measurements. This technique improves accuracy to better than 20 picometers, meeting a key engineering milestone.

Area of Science:

  • Astronomy and Astrophysics
  • Optical Interferometry
  • Precision Measurement

Background:

  • SIM PlanetQuest requires microarcsecond astrometry accuracy, necessitating picometer-level optical path difference measurements.
  • Accurate modeling and calibration of white-light fringes are critical challenges for starlight interferometry.
  • Previous CCD-pixel-level calibration schemes are inadequate due to wavefront aberrations causing significant phase-dispersion variations.

Purpose of the Study:

  • To develop an improved white-light fringe model accounting for wavefront aberrations.
  • To create a robust calibration and estimation scheme for resolving pixel bandwidth.
  • To validate the new method using simulated and experimental data.

Main Methods:

  • Developed a white-light fringe model incorporating extra phase dispersions from wavefront aberrations.

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  • Implemented a calibration and estimation scheme utilizing long-stroke fringe measurements.
  • Validated the algorithm with simulated data and experimental data from the Spectral Calibration Development Unit (SCDU).
  • Main Results:

    • Simulated data showed total systematic errors in the calibration and estimation scheme below 1 picometer.
    • Experimental data from SCDU demonstrated an end-to-end accuracy better than 20 picometers.
    • Achieved SIM PlanetQuest Engineering Milestone 4, validating the algorithm's performance.

    Conclusions:

    • The novel white-light fringe model and calibration scheme effectively address challenges posed by wavefront aberrations.
    • The developed method provides picometer-level accuracy, essential for future high-precision astrometry missions.
    • The successful validation confirms the algorithm's readiness for SIM PlanetQuest.