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Related Experiment Videos

Wave-front measurement errors from restricted concentric subdomains.

K A Goldberg1, K Geary

  • 1Center for X-Ray Optics, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. kagoldberg@lbl.gov

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|September 12, 2001
PubMed
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Analyzing wave-front measurements on a limited area can cause systematic errors, underestimating the full wave-front error. This study presents a method to correct these errors by relating subdomain to full-pupil aberration coefficients.

Area of Science:

  • Optical Engineering
  • Interferometry
  • Wavefront Sensing

Background:

  • Wave-front measurements in optical testing are often performed on restricted subdomains of the full pupil.
  • Analyzing these subdomains can introduce predictable systematic errors, leading to an underestimation of the actual wave-front error and aberration coefficients.

Purpose of the Study:

  • To develop an analytic method for quantifying systematic errors in wave-front measurements due to subdomain analysis.
  • To establish the relationships between aberration polynomial coefficients defined on the full pupil and those defined on a restricted concentric subdomain.
  • To investigate the impact of subregion selection on wave-front measurement accuracy.

Main Methods:

  • Development of an analytic method to relate aberration polynomial coefficients between full-pupil and subdomain domains.

Related Experiment Videos

  • Utilizing vector and matrix representations for wave-front aberration coefficients.
  • Generalization of the method for arbitrary input wave fronts and subdomain sizes.

    • Main Results:

    • Demonstrated that measured rms wave-front error and aberration coefficients typically underestimate the full-pupil values.
    • Provided a method to determine the relationships between full-pupil and subdomain aberration coefficients.
    • Showed that subdomain measurements alone are insufficient for predicting the full-pupil wave front.

    Conclusions:

    • Systematic errors in wave-front measurements arise from analyzing restricted subdomains.
    • The developed analytic method allows for the investigation and correction of these errors.
    • Establishing limits on subdomain size is crucial for achieving arbitrary measurement fidelity in optical testing.