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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 6 — Jun. 1, 1998
  • pp: 1670–1685

Assessing and optimizing the performance of a phase-shifting interferometer capable of measuring the complex index of refraction and the surface profile of a test surface

Eric W. Rogala and Harrison H. Barrett  »View Author Affiliations


JOSA A, Vol. 15, Issue 6, pp. 1670-1685 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001670


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Abstract

A novel interferometer based upon a conventional phase-shifting design is further investigated. This interferometer is capable of measuring both the real and imaginary parts of the complex index of refraction and the surface profile of a test surface. Maximum-likelihood estimation theory is shown to be an effective means of extracting the three parameters of interest from the measured data. Cramér–Rao lower bounds are introduced as a means of quantitatively assessing the performance of the system. Furthermore, it is shown that as the design parameters are optimized, the results approach the theoretical performance limit. We conclude by developing the underlying theory behind the relationship of the complex-index-of-refraction estimates to the surface-profile estimate.

© 1998 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(120.3180) Instrumentation, measurement, and metrology : Interferometry

Citation
Eric W. Rogala and Harrison H. Barrett, "Assessing and optimizing the performance of a phase-shifting interferometer capable of measuring the complex index of refraction and the surface profile of a test surface," J. Opt. Soc. Am. A 15, 1670-1685 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-6-1670

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